diff --git "a/data/dm_maths/full_data_2/1084_11255.jsonl" "b/data/dm_maths/full_data_2/1084_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1084_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, j: 9, f: 7}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 0.48. Let x = 0.5 - 0.2. What is the closest to 0.1 in x, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*x = 0, 0 = 5*k - 6*k + x - 1. Let d be (-3 - -1)*k + -1. Solve -3*c - l - 13 = 0, d*l - 1 = -3*c - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 69*p**2 + 26*p**2 - 15*p**2 + 60*p**2.\nAnswer: 136*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*y + 4, 6358 - 3180 = y + 3181 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 7 - -8) + 865. Is c != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 76*s**2 - s + 1. Let w = 19 + -18. Is u(w) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5892, -11697, -17502?\nAnswer: -23307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 i when four letters picked without replacement from {i: 3, l: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0848121 to four decimal places.\nAnswer: -0.0848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8546102 a multiple of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*w + 92, -16 = w - 5*w. Does 4 divide (-205)\/(-9) + 8\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 53, -5 in decreasing order.\nAnswer: 53, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -7*n + 40. Suppose 4*b - n*b + 3 = u, -b - 4*u = 0. Let r = 5 - 3. Solve -b = -r*g - 2*h - 0, -3*g = 2*h - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4768046 is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-150)*120\/192?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*i = -57, -2*i = -b + 16 - 38. Let z = b + 35. Let p = -44 - -63. Is p > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (1 - -6) - -6) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6*p + 168. Suppose 0 = -4*q - 5*y + 26, 4*q + 8 = 5*q + 2*y. Suppose -2*v = -q*v + p. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 - 185 - 14)*(-5*y - 1 + 3 + 4*y - 2*y**2) as l*y + f*y**2 + o and give o.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*i - 14 = 0, 5*i + 361 = -2*g + 378 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 204.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k, -v + 2*k = 12 - 7. Suppose 2*q + 6*f - 2*f = 34, 0 = -v*q - 2*f + 31. Let b = -0.39 + -0.01. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i. Let v(x) be the third derivative of -x**7\/5040 - x**5\/5 - 14*x**2. Let g(w) be the third derivative of v(w). Give s(g(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11339 - -11339.1. Which is the third smallest value? (a) 4 (b) -839 (c) t (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 18. Suppose -2*j = -c - 15, j - s*c - 11 = -2. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = 2. Solve -2*r + 10 = -5*y - b, -3*r = -2*y - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30222910 to the nearest integer?\nAnswer: 5498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 15. Which is the closest to -0.2? (a) 0.5 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.044 + -0.456. What is the third biggest value in -5, v, 2\/5, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2017234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11322445 and 1660.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.88.\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 151*q**5 - 146*q**5 + 88*q**5 + 3*q**5 - 3*q**3 + 3*q**3 + (6*q - 4*q - 5*q)*(-2*q**4 + 2*q**4 - q**4).\nAnswer: 99*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 1}. Give prob of picking 1 f and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16.6*-0.09\nAnswer: 1.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 83430.82 rounded to the nearest one thousand?\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5435 - 624?\nAnswer: -6160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 12847*l + 218109. What is v(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 - 13*p**2\/2 + 2*p - 3. Let w be i(13). Solve 3*x = -2*t - 2, t + t = -w*x - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 1 + -4.\nAnswer: -3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose 66 = x*b + 4*t, 0 = 3*b - 5*t - 110 + 17. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 - (29 + 9 + 6 + -10)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 491096453 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13806772\/5 + -664229671\/240. Let p = 6268 + l. What is the common denominator of 10\/27 and p?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 8*p + 8. Let u be j(-7). Let x be (u - (-3)\/(-6))*18. Is (-2)\/(-2) - (-4 - x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.611 and 107?\nAnswer: 108.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4654*s**2 + 5*s - 5. Let o be g(1). Let f = 9124 - o. Suppose -11201 = -5*r - 4*t, 11*r = 13*r - t - f. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/2)\/(38\/((-3952)\/1404))*54\/1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-21 - -9 - -2)) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2116, 7815, 23266, 53341, 102912, 176851, 280030?\nAnswer: 417321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 98214, 5, -2 in increasing order.\nAnswer: -2, 5, 98214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 5*q + 5*q + (-3 + 3*q + 3)*(-2*q - 2 + 2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-30 + -1 - -12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02888, -4, 5\/6, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 285 + -283. Solve 0*m = m + w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, -2, 19 in increasing order.\nAnswer: -2, -1, -1\/4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w + 76. Suppose -59*y - 208 - 28 = 0. Let p be r(y). Calculate the greatest common divisor of p and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 47, -52, -191, -370, -589, -848?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + (-11 - -8) + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (108 + -42 - 43) + -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 47.534 and -53?\nAnswer: 100.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -115\/4?\nAnswer: -115\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*-5)\/(-16 - -14). Suppose a + s*r + 6 = 0, 0 = -a - 5*r + 2*r - 2. List the prime factors of (-72)\/(-27)*a*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2958 - -18371. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19978*h**2 - 9959*h**2 - 10016*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 57540474 = 4*a, b - 3*a = -2*b - 172621377. Let y = b + 207340462. What is y rounded to the nearest 1000000?\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d*m*u**2 + 2*d*m*u + 117*d*m + 21*d*u**3 + d + m wrt u?\nAnswer: 10*d*m*u + 2*d*m + 63*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 4*u**5\/5 - 3*u**4 + 8*u**3\/3 + 3358. Factor v(q).\nAnswer: 4*q**2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10813, -10829, -10851, -10873, -10889, -10893, -10879?\nAnswer: -10841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/35 and 7\/1130?\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000046382091 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -83*g + 59. List the prime factors of y(-8).\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*2)\/sqrt(9) - 2*sqrt(204)\/(-3*sqrt(12)).\nAnswer: -16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3 + 6535*g**2 - 247193*g wrt g.\nAnswer: 18*g + 13070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284.5 - -281. Is f equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/3, -266 in descending order.\nAnswer: 2, 2\/3, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210364 is divided by 187.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*z + 5*u, 5*z + 57 + 23 = -4*u. Let f be 16\/72 + z\/(-90). Find x, given that 2\/5*x + 0 - 4\/5*x**2 + f*x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*d - 862*d + 431*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5427394 and -1\/4.\nAnswer: 10854788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -356.78 + 362. Let v = m + -5.32. Is 146 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 55. Suppose 0 = -4*g + 5*h + 41, g - 4*g - 3 = q*h. Suppose g*p = 5*w - 37599980, -7 - 1 = 2*w. Round p to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 739722780 by -5.\nAnswer: -147944556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 1*4\/(-1). Solve -p*t + 4*q - 31 = 0, 3*t + 17 = -2*t - 2*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 1. Calculate c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**17)**(27\/5)\/((l\/l**(-6))\/l**6*l**(-1)\/l**3) assuming l is positive.\nAnswer: l**(-444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2)\/(0 + 1). Suppose 0 = 2*r + 5*p + 9, 2*p = r + p - 6. Is j <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 252 = 4*u, -3*h + u - 2*u - 378 = 0. Suppose s = -s - 4, -626 = 7*x + 5*s. Let c = h - x. Which is smaller: -37 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 4*n - 32, 5*n = -283151 + 283176 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4 - 6 + 4. Let p(t) be the third derivative of -t**4\/24 - t**3\/6 - 189*t**2 + 1. Calculate m(h) + p(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m\/(m\/((m*(m\/m**(9\/2)*m)\/m)\/m))*m)\/m**(4\/13))**49)**29)**(-1\/25) assuming m is positive.\nAnswer: m**(29841\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 1988*s - 480950. Calculate u(-578).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1021 + 1020.891. Which is the second smallest value? (a) 1 (b) p (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 + 24*u**2 + 14*u**2 + 20*u**2 - 43*u**2.\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102552 + -29124727\/284. Calculate the common denominator of p and -137\/12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -35. Let f be 4\/16 - (-2)\/(-8). Suppose 4*t + t + 4*a + 4 = f, -2*a - 2 = -4*t. Solve t = h - b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11614*v - 2. Let x(j) = -2*j - 5. What is x(m(i))?\nAnswer: -23228*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 2, 2*a - 275*u = -273*u + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*f*j**3 + 56379*f + 769130*j**2 + 40 wrt j.\nAnswer: -57*f*j**2 + 1538260*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0166 - -0.3.\nAnswer: 0.3166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.8465769 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 2, s: 7, z: 8, m: 2}. Give prob of picking 1 m, 1 g, and 2 z.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 - 11?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14400 + 431234?\nAnswer: 411334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/143 and -129\/10670.\nAnswer: 138710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343*-12.\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94592327 and 5843.\nAnswer: 5843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4 in ascending order.\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20241 and 64662.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + k - 2*k - k**3 + (0*k**2 - 2*k**2 + k**2)*(k + 5*k - 3*k) - 1 - 2*k**3 + 1.\nAnswer: -6*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u - 420. Calculate k(-21).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 37*y + 4. Let p be i(37). Suppose -5*u = -p*s - 36, 0 = -u + 5*s - 10*s - 16. Suppose 5*w = -0*w. Solve 0 = -a - w*a - u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3371 not equal to -3370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9366 and 3122?\nAnswer: 9366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46652, -46648, -46642, -46634, -46624, -46612?\nAnswer: -46598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105974?\nAnswer: 2, 11, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3)\/(-6) + 2. Suppose o*h - 2*c + 8 = 2*c, h = -3*c + 11. Let l(g) = 7 + 1 + 5*g - 1 + g**2 - h. Give l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 389 in -2\/5, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from jtejjii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36038 - 35961. What is the least common multiple of 175 and b?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10041781 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 7. Let g be o(-5). Let s(b) = 3*b - 3. Let u(q) = -3*q + 4. Let p(w) = -7*s(w) - 6*u(w). List the prime factors of p(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 120321320113?\nAnswer: 120321320101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**3*w**3 - h**3*w**2 - h**3 - 5*h**2*w**2 + h + 265009*w**3 - 272*w**2 wrt w.\nAnswer: 24*h**3 + 1590054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81386883 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 t be 0 - (3\/3 + -7). Let f(v) = 2*v**2 + 5 - t*v**2 + 5*v + 3*v**2 - 10*v. Let s be f(-6). Is s greater than or equal to -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5547 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + 16*r**2 + 14*r + 7. Let b(s) = s**2 - 8*s + 8. Let y(c) = 2*c + 2. Let k be y(3). Calculate the smallest common multiple of b(k) and j(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 13. Let p = -8 + c. Is 12 + (p - 2)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**4\/4 - 4*b**3\/3 - b**2 + 11*b - 648. Give t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 - 31*n**4 + 44*n**3 - 11*n**2 - 6*n.\nAnswer: n*(n - 6)*(n - 1)**2*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5697 + -1817341\/319. Is 1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfxz. What is prob of picking 1 z and 1 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 4*l**2 + 2*l - 3. Let t be g(3). Let w be t\/(2 - 7\/2). Solve -w*j - 5*d + 16 = 0, -j = -0*j + 3*d - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-16 + 24 + -4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-6))\/(2\/(144\/(-28))). Is o > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*p = -731, -5*i = -4*p + 10 - 885. Suppose -4*z + i = 3*v, 0 = 6*v - 7*v - z + 61. Is 65 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657392880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 5 + 16\/(-3))*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 132, 420, 854, 1434, 2160?\nAnswer: 3032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-1 + 2))*(20 + -21). Let d be 156\/(-42) + i + (-52)\/(-14). Let q = 0.2 + 0. What is the smallest value in 5, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -583 - -7009\/12. Let f = 4\/3 - z. Are f and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 78.18 and -0.4?\nAnswer: -31.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336 is divided by 646.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/((-54)\/9))\/((4\/16)\/(590\/40))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m + 27803 - 153 = 396*m for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448202 is divided by 224094.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -528 + 592. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 227*l - 11334. What is o(58)?\nAnswer: 1832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621460129.\nAnswer: 621460129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -162*l**3 - 6*l**2 - 27*l + 2. Let p(x) = 81*x**3 + 3*x**2 + 12*x - 1. Determine 9*p(a) + 4*y(a).\nAnswer: 81*a**3 + 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*q - 4, m + 3*m = -2*q + 12. Calculate the remainder when (1 - 2) + (9 - -1) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 8*j - 5. Let s be q(-5). What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (152\/57)\/((-2)\/(-6)) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3990 divided by 1995.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6248 - -274869\/44. What is the common denominator of 61\/44 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 3830.836.\nAnswer: 3831.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52033466 is divided by 52033448?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 2*x**2 - x - 3. Calculate the remainder when 18 - (-11)\/((-11)\/2) is divided by o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v**3 - 3 - 17*v**3 - 12*v**3 + 45*v**3 + 23*v**2 to p*v**3 + f + t*v + n*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 21042.\nAnswer: -189378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1437\/7 - -9301\/42. Let s = 5623707 + -50558213\/9. Let v = s - 6120. Find the common denominator of f and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2237 - -210. Is p a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 16)\/(2\/(-1)). Let p(o) = 11*o + 2. Let w(n) = -6*n - 1. Let f(c) = b*w(c) + 4*p(c). Differentiate f(l) with respect to l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 2. Let d be 3 + k\/3 + 4. Suppose -d*f - 2 = -34. What is the remainder when 30 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.91.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017 - 2759 = 131*c + 122 + 2590 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220221201 - -10212?\nAnswer: 1221002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 83308.01 decades?\nAnswer: 8330.801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + q + 0*q)*((6*q - 9 + 9)*(3 - 2 - 4)*(-3 - 1 + 2) + (-1 + 1 - 1)*(-q + 2*q - 3*q)) as v*q**2 + o*q + z and give v.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712 <= -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1459744.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1957 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 - 3) - (-186 + 156 + (1 - -6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t. Let x = -2 + -2. Let m(f) = -f - 2. Let z(h) = 3*h + 13. Let v(s) = 5*m(s) + z(s). Let g be (4\/12)\/(2\/(-6)). Calculate g*v(c) + x*r(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0*i + 0*i)*(-4 + 0 + 6) + 6*i**2 - i**2 - 2*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/(-26)) + (-85089)\/(-6441)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 + 301 + 21)*(3*t - 4*t + 2*t) to the form g + o*t and give o.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(7*(-20)\/140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16645 + -16625 + 1\/((-1)\/28)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 50. Let q(n) = n. Determine -h(z) - 2*q(z).\nAnswer: -6*z - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7101 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a micrometer in nanometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3953, -1\/9, -6.73?\nAnswer: -3953","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -11. Let m(p) = r*p + 2 - 4*p**2 - 2*p + 4*p**3 + 2*p**3 - 4*p**3. Is m(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 s, and 1 c when four letters picked without replacement from {g: 2, s: 8, c: 5}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3802 - -4364. What is the nearest to -1 in 1, 5, l, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 1 + 2. Suppose 4 = -0*l + 2*l. Let w = j + l. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -3*g**2 - 1\/20*g**5 + 0 + 1\/8*g**4 + 0*g - 1\/120*g**6 + 1\/3*g**3. Let l = 7 - 11. Determine k(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221 + 231. Suppose -10*u = -5*u + m. Let c(w) = w**3. Let h(y) = -y**3. What is u*h(b) - c(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8502.05 and -0.3.\nAnswer: 2550.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -11062984 and 674183.81.\nAnswer: -10388800.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 42 + 18 = 0. Let x be (-588)\/z - 6\/(-10). What are the prime factors of (400\/x)\/((-2)\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 2*b - b**2 - b.\nAnswer: 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/8 + 35\/24. Let n = 373 - 372. Which is the smallest value? (a) -0.1 (b) s (c) 4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6)**(-49)*(c**(-5))**37 assuming c is positive.\nAnswer: c**(-479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 24032251?\nAnswer: -24032253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1345*x**2 - 440*x**2 - 897*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 14*g = -472 - 32. Which is the biggest value? (a) 44 (b) -3 (c) -2\/13 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94.10884975 + -90.10885. Let i = -0.09 - -4.09. Let h = i - w. What is h rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 11 - 4*j + 4*j**2 + 3*j + 8*j - 3*j**2 to the form m*j**2 + u*j + h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7155*m - 24. Let y(z) = -4*z + 6. Give -n(w) - 4*y(w).\nAnswer: 7171*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - x + 7. Suppose 4*c + 3 = t, -5*t = 5*c - 0*c - 15. What is v(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 196*f**2 + 2*f + 4. Let v be w(-2). What is the second derivative of v*k**3 + 0 + 5*k**2 - 145*k - 1 - 784*k**3 + 10*k**4 wrt k?\nAnswer: 120*k**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 + 9244405*v**4 + 55466555*v**3 + 101688755*v**2 + 55466610*v = 0. What is v?\nAnswer: -3, -2, -1, 0, 1848887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 10*w + 2*w - 6*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 317, 236, 105, -70, -283, -528, -799?\n\"Answer: d**3 - 31*d**2 + 5*d + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14907554.\nAnswer: 2, 47, 158591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -223800 divided by -2?\nAnswer: 111900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18629964 to the nearest integer?\nAnswer: 4316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - h**2 + 10*h - 3 - 20*h to the form j + u*h**2 + a*h and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 165\/22*(-6)\/(-9). Let o(r) be the first derivative of 1 + r**3 + 0*r + 3\/5*r**c + 0*r**2 + 0*r**4. What is the third derivative of o(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdd when three letters picked without replacement from ddoqwdddqvsddsqdsd?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k + 0*k + 5*k - 3*k + (-k + 6*k - 3*k)*(-4 - 1 + 3) + 2*k + 2*k - 6*k - 2*k + 0 + 0 - 140*k + 271*k - 319*k + 17)*(2 - 3 - 1).\nAnswer: 386*k - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 779486401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/3 - 1390*k**3\/3 - 114750*k**2 - 12210750*k - 475672500 = 0. Calculate k.\nAnswer: -290, -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 90700 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 5 + 11*k + 11*k. Let q be ((-9)\/(-18))\/((-58)\/(-28) - 2). Does 23 divide o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 + 112 + 112 + 63265*l**2 + 49748*l**2.\nAnswer: 113013*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/81435 and 137\/1054650?\nAnswer: 64333650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olofllo. What is prob of picking 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310459 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: Let v = 5.6 + -6. Put 4, 0.5, v, 0.2 in descending order.\nAnswer: 4, 0.5, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23280\/13 greater than -1791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3754 (base 8) to base 16.\nAnswer: 7ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15417 is divided by 15363?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2288)\/571 + (-29 - -33). Let s = r + 587\/2284. Factor -12*t - 13\/4*t**2 - s*t**3 - 9.\nAnswer: -(t + 1)*(t + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:14 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 8*x - 4*x + 11, 0 = g - 3*x - 13. Let w = 3 - g. Sort w, -4, 5 in increasing order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 8 - 6 - 5)*(-3*s**3 + 3*s**3 + 2*s**3) in the form y*s**3 + c*s + a*s**4 + l + z*s**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and 0.3.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - -5) + 33\/(-4) and -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 728868, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6*u - 114 = 9*u, -3*s + 5*u + 124 = 0. Let c = 1\/1304 + 50199\/6520. Calculate the common denominator of c and (-57)\/76*158\/s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3 - 387*f**2 + 762*f = 0. Calculate f.\nAnswer: 0, 2, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 3*f**2 - f - 3. Let t(d) = -d**3 + 2*d**2 - 2. Let n(z) = 2*k(z) - 3*t(z). Give n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*c*x**6 - 2*c*x**4 - 4*c*x**2 - c + 4*x**2 wrt x?\nAnswer: 3720*c*x**3 - 48*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a millennium?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017887 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 865 + -2679?\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72349 != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1519 + 1794. What is the lowest common multiple of 385 and s?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.5 - -213.9?\nAnswer: 201.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 61. Suppose 4*m = m + j. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(-1\/11)*(d*d**23)**(-49) assuming d is positive.\nAnswer: d**(-38809\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*u - 3*u + 0*u)*(7202 + 118*u + 6*u - 7201).\nAnswer: 372*u**2 + 251*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 - 162*m**3 - 3701*m**2 - 4*m - 63771.\nAnswer: -40*m**3 - 972*m - 7402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.58 - 9.6. Let j = v - 1. Which is smaller: j or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + p = -34*p - 23*p + 2082, 2*c + 3*c + 98 = 3*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 21 = 3*m, 26 = 2*l - 2*m + 7*m. Suppose -5*n = k - 95, l*n - 5*k + 4 = 33. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(2) + sqrt(98)*2))**2.\nAnswer: 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 2438903168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 65 - (-69 - (3 - (64 - 32)))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30, -3 in decreasing order.\nAnswer: 5, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9705.624 litres?\nAnswer: 9705624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 6*d - 25 + (5 - 132 + 11)*(-2*d + 3*d - 3*d) to g + c*d and give c.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/3 - 2112*i**3 + 224230*i**2\/3 + 1330056*i = 0?\nAnswer: -13, 0, 49, 3132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + (-1 + sqrt(832) - sqrt(832)) + 1 + 1)**2)*4.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.4 + -35. Let x = -14 - 0. Let i = 13 + x. Which is the closest to 0.1? (a) 4 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14519972*u**2 + 7254010 wrt u.\nAnswer: 29039944*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -556*g**4\/3 - 3898*g**3\/3 - 14*g**2.\nAnswer: -2*g**2*(g + 7)*(278*g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/3 + i**2 - 3. What is the third derivative of h(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10\/7)*(v\/(v\/(v*v**(-15))))\/v)\/(v**(2\/41)*v*v**7) assuming v is positive.\nAnswer: v**(-7025\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.9881 - 28. Round z to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -q + 6*q. Let m be 708\/30 - q\/10. Let l = m + -10. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16310 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113*((-16)\/48)\/((-2)\/6)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 34) + 36 + -17 + (4 - -6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**4\/78 + o**3\/39 + 309*o. Solve g(u) = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 5737868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -643 + -564. Let r = 2072 + u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/7, -290 in decreasing order.\nAnswer: 1\/7, -3, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7 = 1. Let p be (-2 + 17)*(3 + m). Let c be (-9)\/p + 26\/10. Solve -2*y = c*h - 4, h + 10 = 3*h + 4*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290029763 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 26\/9, -134, -1\/2, -1, 14 in increasing order.\nAnswer: -134, -1, -1\/2, 26\/9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 494 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172691 is divided by 438?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 5*g**2 + 6*g - 5. Let q be t(-6). Let n be 2\/5*(-5)\/q. What is the closest to 0 in -3, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3 - 37*m**2 + 6951*m + 1565803?\nAnswer: -3*m**2 - 74*m + 6951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 438406038 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 6*h**2 - 3*h**2)*(-7 + 0 + 2).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c - 31*c + 375*c**3 - 435*c**3 + 11*c.\nAnswer: -60*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = -4*g, -4*g + 0*g = 2*l - 18. Solve -g - 1 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93, 312, 659, 1128, 1713, 2408, 3207, 4104?\n\"Answer: -x**3 + 70*x**2 + 16*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 4 (c) 91 (d) -6807 (e) -3\/2 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17235 - 2?\nAnswer: 17233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275355686?\nAnswer: 2, 1013, 135911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7462266 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*(-4 + (-3)\/(-6)). Let u be 8\/b*14\/206. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74405252.\nAnswer: 2, 18601313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173.40714 rounded to the nearest ten?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12))\/(64\/(-24)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*v + 13 - 36. Let m(x) be the first derivative of 2*x**2 + 0*x + 1\/2*x**4 + 26 + v*x**3. Factor m(f).\nAnswer: f*(f + 4)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8868, -16216, -23560, -30900, -38236, -45568?\n\"Answer: 2*y**2 - 7354*y - 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18*(-3)\/(-12) - 8\/(-16). Which is the second smallest value? (a) -6 (b) u (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.09 - -0.09. What is the second biggest value in -0.3, h, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.55 minus -287.783?\nAnswer: 302.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10843, 10853, 10867, 10885, 10907, 10933, 10963?\n\"Answer: 2*q**2 + 4*q + 10837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6839509 years to decades.\nAnswer: 0.06839509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 19. Let a = 27 - z. Suppose a*t + 8 = 4*t. What is the highest common factor of 72 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 - (243\/(-18) - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a - 4. Let v(c) = -20*c + 214. Let k be v(15). Let g = k + 79. Let u(w) = 5*w - 1. Determine g*u(q) + 2*t(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 28*c - 1. Let r(p) = -p**2 - 2*p + 1. Let z(s) = -j(s) - 4*r(s). Let l be z(-11). What is the greatest common factor of 240 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 6*u**2 + 7*u - 16. Let n be g(-8). Calculate the greatest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15086, -15090, -15094, -15098?\nAnswer: -15102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -57*5\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2948*f - 1477*f - 6*f**3 - 1471*f.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 15 - -3 - 112) + 25?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a*a*(a\/(a\/a**(-2\/13)*a))\/a*a*(a**(-1)\/a)\/a*(a*a\/(a\/(a*a\/a**(6\/7)*a)*a*a)*a)\/a*a)**(-2\/59) assuming a is positive.\nAnswer: a**(188\/16107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - g**2 + g + 3. Let v be x(5). Suppose 4*f + 8 = v. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 136751187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = -135. Let h be (70\/(-75) + (-8)\/(-6))*8275. Calculate the remainder when 3\/(h\/(-665) + 5) is divided by s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 13 - 12)*(3*g**2 - 3*g**2 - g**2) - 4 + 2*g**2 + 4 + (-g - 4*g + 4*g)*(-3*g + g + g) - g**2 + 0*g**2 + 0*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.7 - 15.2. Which is the second smallest value? (a) 2 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126281262.\nAnswer: 2, 3, 21046877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 1 - -6 - 3. Suppose -3*m = 3*w - 9, -3*w + w + 30 = a*m. Is (-4)\/(-6)*228\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62373*c - 62334*c = 3*g - 141, 3*c + 22 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**2 + 0 + 1\/60*r**6 + 2\/9*r**3 - 1\/315*r**7 - 15*r - 1\/90*r**5 - 1\/12*r**4. Solve s(w) = 0 for w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b. Suppose 69*l = 73*l + 24. Let k be (-1)\/(-1 + 4 + l)*2. What is the closest to -2 in k, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*w - 222. Solve w*n + 4 = 47*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -232450, -464900, -697350?\n\"Answer: -232450*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -31, -33, -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1324 - 1196.2. Let h = 128 - j. What is the second smallest value in h, 0.39, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (534\/(-7))\/(58\/(-2233)). Calculate the highest common divisor of a and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 155*c**3 + 268640*c**2 - c + 346060517 wrt c?\nAnswer: 465*c**2 + 537280*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:40 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 4*v**4 - 6*v**3 - 16*v**2 - 8*v.\nAnswer: 2*v*(v - 2)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(28\/288)\/(24\/9). Let k = b - 3\/64. Let t = -9 - -5. Put 0, 3\/2, t, k in decreasing order.\nAnswer: 3\/2, 0, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (43 + -49) - (26 + (0 - 0))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.408813 kilograms in tonnes?\nAnswer: 0.004408813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -5. Suppose 4*a + 0*a - m - 11 = 0, 4*m - 4 = 4*a. Let o(d) = -d**3 + 4*d**2 - d + 2. Let h be o(a). Is n not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 452040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -4, -1, -12, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 2. Let l(x) = -5*x - 9. Suppose -5*k - 205 = -5*o, -6*o - 2*k = -4*o - 94. Let p = 23 - o. Let r be (3\/5)\/(p\/(-70)). What is r*l(s) - 9*q(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 2*i**2 - i**2 - 3*i**2 + i - i + (-2*i + 2*i + i)*(-2*i + 0 + 0) + i**2 + 2 - 2 + 6*i**2 - 6*i**2 - 5*i**2 as t + x*i + d*i**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 225, 476, 727, 978, 1229?\n\"Answer: 251*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 12\/47 (b) 1 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 31.97 - 263\nAnswer: -231.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 - 8*g**2 - 7*g**2)*(-8*g**3 + 14*g**3 - 3*g**3 - g).\nAnswer: -60*g**5 + 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 24*x - 6. Let b be a(-10). Suppose 46*g = b*g - 1120. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l + 10. Let d(w) = 9*w - 9. Let a(i) = 5*d(i) + 4*g(i). Let p = 27 + -18. What is the smallest common multiple of p and a(2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 1 + 0)*(-5*b**2 + 5*b**2 - 5*b**3 + (-2*b**2 - 2*b + 2*b)*(-2*b + 3*b - 2*b)) to the form i*b**2 + r*b + a + k*b**3 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Calculate the common denominator of (-430)\/(-48) + f\/(-3) and -61\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 - 15*k**2 - 10*k**2 + 30*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 22\/4)*24\/9. Solve -4*v = -h - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2687, 1, 19, -169 in descending order.\nAnswer: 2687, 19, 1, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i**2 - 10*i**2 - 1 - 2*i**2 - 2*i**2 - i - i**3 - 2*i**4 - i**2 as x + d*i**4 + u*i**2 + r*i + c*i**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 518496*a\/5 - 67209525504\/5.\nAnswer: -(a + 259248)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**3*k - 9347*g**3 + 742*g*k**2 wrt k?\nAnswer: -4*g**3 + 1484*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1 + 3*h)*(5 - 2 + 1).\nAnswer: 12*h + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.0342 grams to micrograms.\nAnswer: 31034200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b - 181. Let t be -9 - (-70)\/7*3. Let z be a(t). Suppose 4\/3*f**2 + 20\/3 - z*f = 0. Calculate f.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 2. Calculate f(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 58. Let v = i + 23.3. Let h = 22\/3 - 119\/15. Which is the third biggest value? (a) 3 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 11*x**2 - 10*x + 24. Let g be v(-12). Suppose 2*n = k - 0*n + 2, -3*k + 4*n - 4 = g. Factor 0*m**2 + 0 - 1\/3*m**5 - 2\/3*m**4 - 1\/3*m**3 + k*m.\nAnswer: -m**3*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4\/19 + 1242*u**3\/19 - 12646*u**2\/19 - 16362*u\/19 + 27764\/19 = 0.\nAnswer: -631, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8122728 divided by -676894.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 342?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-5 - -8) + 0. Solve k - 5 = r, -3*y + 6*k - 7 = 7*k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29347 divided by -5908?\nAnswer: -29347\/5908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44880 and 100155.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 398666617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -1) + 4 - -24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let g = 15.2 - 1.2. Which is the third smallest value? (a) y (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*s + 24*s. Let v be (0 - 7*1)*-1. Let l be v\/(-35) + 0 + s. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u. Let d(m) be the second derivative of m**7\/2520 - m**4\/12 + 3*m. Let k(p) be the third derivative of d(p). Calculate k(y(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68))**2 + (0 + sqrt(1700))**2 - (3*1*sqrt(833))**2.\nAnswer: -5729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7300?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (16 + -1)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuwuuwuwuw. Give prob of picking 4 w.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -3, 97.\nAnswer: -3, 0, 0.1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1262433 from 160574.59.\nAnswer: -1101858.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262752?\nAnswer: 2, 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -2) + (-97 - -123)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:01 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 - 16*t**2 + 4*t**2 + (-4*t - 22*t - 8*t)*(-7*t - 4*t - 2*t) to the form q + i*t + g*t**2 and give g.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 6 = j. Suppose 3*w + 4 = -w. Sort j, 5, w in decreasing order.\nAnswer: 5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 9*b**2 + 15*b - 14. Let c be u(10). Let v = -22 + c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16397335, -16397362, -16397389?\nAnswer: -16397416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 7*g**2 - 2. Let j be z(7). Let d = 0 + 2. Let n(q) = q**d - 3*q**2 + 3*q + 4*q**2 + q**3 + 1. Determine n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + j**3 - j + 0*j**3 - 1. Let m be d(2). Calculate the greatest common divisor of m and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/11))\/(z\/(z\/(z*z**6*z))))**49 assuming z is positive.\nAnswer: z**(-3822\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 199756 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5 + 585*t**4 - 11541*t**3 + 21339*t**2 - 10380*t = 0.\nAnswer: 0, 1, 20, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a factor of 2191533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**2 - 63*k - 4. Let g(z) = -8*z**2 - 65*z - 5. Let v(f) = 4*g(f) - 5*m(f). Let p(x) = 2*x**2. Give v(p(l)).\nAnswer: -8*l**4 + 110*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.1 (c) -351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 450.964 + -500. Let d = u + 49. Round d to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 4:25 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83080521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - r + 117, 0 = 2*r - 26 + 32. Solve 22*n = g - 194 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.3 - -15.244. Let o = -0.056 - q. Which is the closest to o? (a) 6 (b) 1 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (-51884)\/(-1921))*3163 - -28?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 86*g**3 + 2*g**2 - 4*g + 4. What is the tens digit of j(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.8929 to one decimal place.\nAnswer: 184.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 848058960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22647.37 millennia?\nAnswer: 2264737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 11*s**3 - 26 - 20 - 26*s**3 + 11*s**3 to the form t*s + y*s**3 + c*s**2 + u and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 3*t**3 + 2*t**3 + 2 + 5*t**3.\nAnswer: 5*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-3*f - 2*f + 3*f) - 6 + 6 - 8*f + (3*f + 0*f - 2*f)*(0 - 1 - 2) to the form m*f + b and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 22*s + 87. Let m be j(17). Suppose -1718 = -2*u + 5*b, 6*u - m*b = u + 4295. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {d: 1, e: 2, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -1 + 888\/198 + (-14)\/21. What is the second smallest value in z, -0.3, -0.01, -34, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) - sqrt(144)*-2).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - (5 + 2)) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7818.7 + -7819. Put -15.29, x, 0 in increasing order.\nAnswer: -15.29, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 7*x**2 + 96*x - 22. Determine v(6).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 167 - 136 = 0. Let m = h - -180. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/8)\/((-2)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 834.\nAnswer: 26688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((13 - 153\/18)\/(3\/(-4))). What is the second smallest value in -0.16, 3, 0.04, d, 2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -29231 = 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Suppose q*d = d - 163. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183569672 by 8.\nAnswer: 22946209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2263\/794081?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11a451 + -4?\nAnswer: -11a455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((1\/2)\/(51\/(-34))). Suppose 5*z - 28 = -3. Let y(g) = -33*g. Let b(k) be the first derivative of 4*k**2 + 2. Determine v*b(h) + z*y(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-8)\/(-24)*(0 - 3). Let k = d - -86. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 466*z + 1391. Calculate b(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 260 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137090458.\nAnswer: 2, 68545229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 + 2313844*p**2 - 8*p - 9255376 = 0. Calculate p.\nAnswer: -1156922, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39054 minus 64.865859?\nAnswer: 38989.134141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-567)\/(-455))\/(-9))\/((-21)\/70).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 1074216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -586 - -433. Let a = x - -155. Let k(z) = 2*z**3 - z**2 - 3*z - 1. Calculate k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8840787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + r - 126 = 0, 7*k - 3*k = -r + 169. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 3495*j - 2 - 6*j**2 + 4 + 3501*j. Let x be k(-7). Let m(c) = c**3 - 9*c**2 - 3. Calculate m(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*j + 306985 + 280331. List the prime factors of j.\nAnswer: 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 + 155. Put 16, t, -5, -2 in descending order.\nAnswer: 16, t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1822824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-150*r - 4*r**2 + 150*r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8242 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 - (-65)\/15 - 3. What is the smallest value in -2\/43, -1, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, x: 3}. Give prob of sequence qx.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1180, 2398, 3596, 4768, 5908, 7010, 8068?\nAnswer: 9076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.5 - -11.9. Let t = n - -3.83. What is the second biggest value in 0.1, -0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 4:25 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23598 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4417 + -2505. Does 31 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2306*p = 2314*p - 24. Solve -g + 2*g - 1 = -4*q, -p = 2*q - 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 72 - 7. Suppose s = 2*s - 4*z - 60, z + c = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101*a**4 + 6*a - 15148?\nAnswer: -404*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2 - (-6 + -3)) + -27\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1908*v**3 + 2057 wrt v.\nAnswer: -5724*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 440561781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**3 + 19*u**2 + 5*u - 11. Let s(w) = 100*w**3 - 210*w**2 - 55*w + 120. Let j(d) = 45*h(d) + 4*s(d). Factor j(i).\nAnswer: -5*(i - 3)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 0.09, 0.05, 1\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((0 + -1)*-2). Let g = -0.2 - -2. Let k = 2 - g. What is the closest to b in -1, k, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19987*x**5 + x**3 + 555*x + 205?\nAnswer: -399740*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -85 - 31 - -28\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 60512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -10023320?\nAnswer: -10023330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -4)*(7 + -1). Let z(n) = n**2 + 6*n + 5. What is the units digit of z(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2170, -2403, -2634, -2863, -3090?\n\"Answer: q**2 - 236*q - 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-11 - -5 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(84\/27*(-6)\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 15*n**2 - 9*n**2 - 23*n - 7*n**2 + 8. Let d be u(-11). Factor -42 + d - 2*r + 2*r**2 + 17*r + 13*r.\nAnswer: 2*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 3*c - 1 + 3*c)*(-501 - 539 + 815)*(-c + 2*c - 3*c)*(1 - 1 + 2 + (1 - 5 + 2)*(-3 + 1 - 3)) to the form s*c**2 + q + g*c and give g.\nAnswer: -5400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -83664 divided by -2324\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let h(g) = g. Let v(i) = i. Let y(j) = -j**3 + 16*j**2 - j + 11. Let s be y(16). Let u(m) = s*v(m) - 5*h(m). What is u(f(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/59)\/b**(5\/11))\/((b*b**(-2\/111))\/b**(-10\/9)) assuming b is positive.\nAnswer: b**(-543262\/216117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*f = 350*f - 678*f - 338 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*9\/81 + 9\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i + 5. Let z be n(-5). Suppose t = -3*y - 24, 4*t + 38 = -2*y + 32. Let d = y + z. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(210\/140)\/((-12)\/194 + 0). Sort 5, j, -5 in increasing order.\nAnswer: j, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -47*k - 38. Is 27 a factor of c(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(16\/12)\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmd when three letters picked without replacement from dmadmnm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 18, z: 1}. Give prob of sequence bz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 2.294 (c) -604\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31492 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 1. Let o = -9 - m. Put 1, -3, o in ascending order.\nAnswer: o, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-6*o + 3*o + 13*o) - 3*o + 2*o + 0*o.\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3 + 1 + 25*y - 4 as r*y + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4601352l to millilitres.\nAnswer: 460.1352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 275*i - 885. Calculate a(89).\nAnswer: -1597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a\/((a**12*a)\/a)*a*a*a**(2\/35)\/a)**(-2) assuming a is positive.\nAnswer: a**(486\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y + 51 + 17*y - 22 - 30 + 5*y.\nAnswer: 48*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 85*q**2 - 5*q - 85.\nAnswer: 5*(q - 1)*(q + 1)*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/4 + 19*f**5\/10 - 29*f**2 - 2*f. What is the third derivative of l(y) wrt y?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + -129*(-12)\/9.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * 0.67.\nAnswer: -0.1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 2*x - x)*(-x**2 - 4*x**2 + 6*x**2) - 45502*x + 45502*x - 190*x**3 - 3*x**3 + 2*x**3 + 3*x**3.\nAnswer: -187*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 + 542941*c\/3.\nAnswer: c*(c + 542941)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 184910854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41783.0830809 - 0.4?\nAnswer: -41783.4830809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154\/1339 - 73013\/238342. What is the common denominator of k and 11\/14?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241*g**3*y - 275*y with respect to g.\nAnswer: 723*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 - -5a6ec8?\nAnswer: 5a6ea7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55961 divided by 107.\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -47, -66, -85, -104, -123?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -43. Suppose -4*i - 58 = -2*q, -2*q + 9 = -5*i - 53. Let j = q - d. Calculate the greatest common divisor of j and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6111*u + 109*u**2 + 6111*u)*(2 + 2*u**2 - 2) as y*u**4 + n*u**3 + v*u + o + h*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 11:20 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/((-81)\/(-6))*42\/4. Solve 0 = -2*n + h*n - 25, -3*n + 27 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/15 + j**4\/2 + 80*j**3\/3 + 4*j**2 + 40. Determine f, given that x(f) = 0.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**4 - 44929*a**3*d**3 - 3*a**2*d**3 - 777834*a*d**3 wrt a.\nAnswer: -96*a - 269574*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -17. Let l be -2*(-1 + (10\/4 - q)). Let z be (1\/(5\/10))\/(l\/6). Calculate the greatest common divisor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**4 - 3*n**3 + 4*n**2. Let x(z) = 7*z**4 - 2*z**3 + 3*z**2. Let s(v) = 6*x(v) - 4*y(v). What is the third derivative of s(a) wrt a?\nAnswer: 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 2 - (13 - (-30 - -43))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 21829, 0 in ascending order.\nAnswer: -16, -3, 0, 21829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/210*-155 + 1\/(-2) and -59\/436?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:50 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 432700170.\nAnswer: 1298100510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - l - 16, 202 = 2*s - l + 174. Let h(n) be the first derivative of -22 + s*n - 27\/2*n**2. What is the first derivative of h(v) wrt v?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 4:29 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -2*sqrt(143)*4)\/(sqrt(44)\/sqrt(4)*-4).\nAnswer: 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(228)*3)\/sqrt(12) - sqrt(19))**2 + (-1*-3*sqrt(114))\/sqrt(6).\nAnswer: 3*sqrt(19) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 666 = 1584. Suppose 93*a - o = 88*a. Solve 0*z = -5*z - a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d**2 + 0*d + 0 + 0*d**3 - 4\/7*d**4 + 2\/7*d**5.\nAnswer: 2*d**4*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173344 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/60 - m**3\/6 - 3*m**2 + 2*m. Let f(o) = -o**2 - 5*o + 34. Let c(u) = f(u) + 4*z(u). Factor c(l).\nAnswer: -5*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnnn when four letters picked without replacement from ntnttenttnnne?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 21*g**2 + 12*g + 25. Let j(u) = -u**3 + 17*u**2 - 30*u - 20. Let s be j(15). What is the hundreds digit of p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-1612831.6.\nAnswer: 64513.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 18 + (-1 - (-3 + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 + -116. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-9))\/(-2)*(24 + -18). Suppose 9 = 4*s + 4*m - 3, 0 = -4*s - 3*m + 12. Suppose -k + s = 5*j. What is the closest to -1 in 2\/3, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 430*c + 7589. Let o be x(-18). Let l be 331 - (0 - (0 - 1)). Let q = l + o. What are the prime factors of q?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(175))**2 + sqrt(21)\/(sqrt(9)\/sqrt(3)).\nAnswer: sqrt(7) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/21 + 17\/3. Let j be 1 + -1 + -2 + y. Solve k - 12 = j*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1530747573 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141052 and 27913324?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(294\/(-54)) - 4\/14. Let h = -3 + 4. Let t be h\/(-3) + 16\/3. Put t, q, 4 in decreasing order.\nAnswer: t, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3679 = i, -4*n = 3*i - 6*n - 11048. Suppose 3683 = 5*d + 9*y - 11*y, -5*d = -3*y - i. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 3*l**4 + 4*l**3 + (-1 + 1 - 2*l)*(0*l**2 + 2*l**3 + 0*l**2) + l**4 - 4*l**4 + 0*l**4 - l**4 + 0*l**4 + 3*l**4)*(-2*l - 9*l + l).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 6:14 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8403315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (11 - -1)\/1. Suppose d - 4*i = 6*d - 244, -4*d + 204 = i. Calculate the highest common divisor of d and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -0.2, -0.34.\nAnswer: -3, -0.34, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.5 + 12. Let m = 0.2 - y. Let q = 3.70000046 - m. What is q rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, x: 1, k: 1, t: 2, g: 7}. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 225 = 46*g - 89415. What is the highest common divisor of g and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18280421 a multiple of 1926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59045 and 1519.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.073 and 95.8.\nAnswer: -390.1934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + 3*n**2 + 7*n - 18. Calculate k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 2\/19, 0.5, 1583.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a - 4\/3*a**3 - 1\/2*a**2 + 2 - 4\/3*a**4. Let q(g) be the first derivative of m(g). What is y in q(y) = 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 90, -5, -1, 1 in decreasing order.\nAnswer: 90, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107139?\nAnswer: 277, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/((-10)\/4 - -1). Suppose j*w = 2 + 6. Suppose 22 = 4*g - w. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 39 = -51. What is the remainder when 50 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 21. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clyyyyejlylejcc. Give prob of sequence ycjj.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*l - 240, -5*x + 3*l = -x - 341. What is the second derivative of t + 42*t**2 - x*t**2 + 67*t**2 + 0*t wrt t?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-2) + (5 - 2). Let m(j) = 6*j + 3. Let a(v) = 11*v + 6. Let z(q) = l*m(q) + 4*a(q). Find the first derivative of z(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-16)*(4 + 3304\/(-12)) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2. Suppose -3*h + 5*q - 42 = 0, -22 - 29 = 4*h - 5*q. Let v(c) = 3*c + 2. Let x(g) = -13*g - 9. Let s(d) = h*v(d) - 2*x(d). Give b(s(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12999.8 rounded to the nearest one hundred?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 119, 278, 503?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 70*z**2 - 4*z - 80. Let g(v) = -46*v**2 + 2*v + 50. Let q(m) = 8*g(m) + 5*h(m). Let o(f) = -12*f. Calculate o(q(i)).\nAnswer: 216*i**2 + 48*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1100111?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 13*u**2 + 12*u - 25. Calculate b(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 509401970 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 411*h**5\/20 - 42*h**2 - 27*h + 3. Find the first derivative of v(d) wrt d.\nAnswer: 1233*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 4. Let f be (-1)\/(-6) + 2\/(-12). Is t(f) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173550000 rounded to the nearest one million?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w**2 - 5*w + 4. Give b(2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cziizczccciic.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 3*m + 3*m**3 - 2*m**3 - 4*m. Suppose 3*p = -4*v + v - 18, 4*v = 0. Let r be ((-6)\/(-4))\/(p\/12). What is z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 0.2197329?\nAnswer: 0.26367948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222 - 261?\nAnswer: -513","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 (4\/(-5))\/((-2)\/5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1369 + -1377.2. Which is the closest to 2? (a) 0 (b) -2 (c) -1\/5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -28*p + 6. Determine f(-4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 2*z**4 + z**2 + (2*z - 2*z + 5*z**2)*(5*z - 2*z**2 - 5*z).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.4 - -5.3997.\nAnswer: -24.0003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 303*j**2 - 2.\nAnswer: 303*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbr when three letters picked without replacement from {r: 2, z: 1, g: 8, c: 1, s: 5, b: 3}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3979521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78792, 157461, 236130?\nAnswer: 314799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 1. Let v(a) be the third derivative of -a**6\/180 - a**3\/6 + a**2. Let u(m) be the first derivative of v(m). What is -s(x) - u(x)?\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2916)\/234)\/(-81))\/(32\/(-26))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10328*a**3 - 2*a + 11179.\nAnswer: 30984*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311129*a - 310568*a - 34221 = 0 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 2 + 5*k**3 - 2 - 14*k**3.\nAnswer: -9*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -627? (a) 0.5 (b) -6 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 82*u**2 + 131*u - 736. Give m(26).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 2*u + 3*u - 6*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26879 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1\/5, 6, -5, 0.03?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250.4 + 250. Let p = 1.66 + -1.8. Let x = -38 + 37.5. Which is the second biggest value? (a) m (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2156*g - 2199*g - 328 = 89 - 3599 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4202748 kilometers in nanometers?\nAnswer: 420274800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - l = 23, -5*t - 4*l - 29 = 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u - 2*j, 5*u + 0*j + j - 18 = 0. Suppose -z + u*l = l + 2, 2*l = 4*z - 16. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17317*t = 17755*t - 31974 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 156865, 313805, 470745, 627685?\n\"Answer: 156940*t - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -127. Let i be (4 - -75)*5*3. Suppose -20*c + 5*c + i = a. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**3 - 3*k + 3. Let w be (-1344)\/210 + 2\/5. Let a(z) = 12*z**3 + 5*z - 5. Determine w*a(t) - 10*l(t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 89*f. Let d be ((-1166)\/(-742) - (1 - 1))*-7. Let z(b) = 30*b. Determine d*z(g) + 4*w(g).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 176. Suppose -g - 38 = -11*p. Let m = -10 + p. What is the smallest common multiple of m and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9502 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118*m**3*y + 5*m**3 - m**2*y + 14*m**2 + 4*m*y + 14*m + y + 17 wrt y?\nAnswer: -118*m**3 - m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(((-3*(1 + sqrt(272)))**2 + (-1 + sqrt(272) + sqrt(272))*4)*-3*2 + -4).\nAnswer: 6240*sqrt(17) + 147220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4110432 (base 6) to base 9\nAnswer: 327602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(120\/32*(-4)\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-10) - (-12)\/30. Suppose k*o + 5*z - 5 = 0, -5*o + 25 = 2*z + 2. Put -4, o, -29 in descending order.\nAnswer: o, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15415 is divided by 7573.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.97865 - 2.848. Round v to 3 decimal places.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120554.\nAnswer: 2, 7, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8451*h - t - 11 = -8453*h, -5*h + 40 = -5*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 4*y - 48 = 0, -3*g - 4*y + 16 = -6*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205316 (base 7) to base 2.\nAnswer: 1000101010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 102*h**2 - 78*h - 19332. What is d(-103)?\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 7*q**2 - 5 - 10*q**2 + 9*q.\nAnswer: -3*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 - -287. Let i = -151 + b. Solve -x - 5 + i = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15075246 and 126?\nAnswer: 316580166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.62427 milligrams in micrograms?\nAnswer: 63624.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 831*f - 1385*f + 3567*f + 4391*f.\nAnswer: 7404*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 32.69.\nAnswer: 16.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 137 = -109. Let b(k) = -6*k**3 - 3*k**2 + 3*k - 3. Let q(t) = -30*t**3 - 14*t**2 + 14*t - 14. Determine f*b(s) + 3*q(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*s + 16, -s - 3*s + 18 = 2*x. Solve -s*j + 4*j = -3*v + 7, -5*v + 11 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-19 - (7 - 2)). Let a(k) = -k**3 + 26*k**2 - 25*k + 5. Let u be a(q). Solve -11 = -u*t - 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -29*n**3 + 2*n**2 - 2*n + 2. Let k(o) = 115*o**3 - 9*o**2 + 9*o - 9. Calculate -18*j(w) - 4*k(w).\nAnswer: 62*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 65, 68?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 70 + 164. Calculate the remainder when 193 is divided by b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + (-57 - 32) - (-3 - 162).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2 + 12828*i = 0. Calculate i.\nAnswer: -6414, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3977755.\nAnswer: 5, 795551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 77494053 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*f + 8 = -0*f, -y - 4*f = -8. Let z be ((-14)\/4 + (y - -4))*2. Solve 2*c - w - z = 3*c, 0 = 4*w - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*f + 1)*(0*f - 2*f + 3*f) + (-f - 5 + 5)*(3*f + 2 - 2) - 117*f**2 - 7 - 151*f**2 + 6 in the form z + t*f + n*f**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 273 and 156?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -4 (c) -82919 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9667 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 287 + 0*d - 5*d + 4*d + 3*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 1896?\nAnswer: 15168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -612674?\nAnswer: -61266a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/((t*t*t*t*((t\/(t*t*t*t**(-18\/11))*t)\/t*t)\/t)\/t))\/t*t*t)\/t)\/((t\/(t**(1\/55)*t)*t)\/t))**(-1\/6) assuming t is positive.\nAnswer: t**(17\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 964*s = -k + 966*s + 4, 3*k - 3 = -3*s. Suppose 8\/7*a**4 - 2*a + 30\/7*a**k + 2\/7 - 26\/7*a**3 = 0. Calculate a.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/4 - (0 + -4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 594, 596, 598?\n\"Answer: 2*z + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150888?\nAnswer: 2, 263, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(270\/120*4*1). What is the biggest value in 0.131, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*i**6 + i**4 - 6*i**3 + 26*i**2 - 67*i wrt i.\nAnswer: 6360*i**3 + 24*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -17. Is u at least as big as 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 30, -1, 0.\nAnswer: -2, -1, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(2\/25)*l)*l*l**(-35))\/(l\/((l**(-1\/41)\/l*l*l)\/l)*l\/l**(-7\/6)) assuming l is positive.\nAnswer: l**(-223067\/6150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 14*m**2 - 6*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 1614*x.\nAnswer: 1614*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 6:07 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + t - 20*t + 12*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1252695868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/115696 and -91\/5136.\nAnswer: 37138416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8651 + 8*a**2 - 8640 + 6*a**2.\nAnswer: 14*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(187)\/(sqrt(132)\/sqrt(12)))**2*-2.\nAnswer: -42 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164 - 152. Suppose -17 = 5*l + p - 74, 0 = -4*p - b. Sort 4, 1, l.\nAnswer: 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 257 - 292 - (-37 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 98*r - 44. Let g = 106 - 89. Let m be a(g). Suppose 9*k + 389 - m = 0. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 27. Let y be x(19). Let a = -5501 + 5514. Calculate the highest common factor of a and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 77986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6429 and 2.\nAnswer: -12858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(((l**(2\/7)*l)\/l)\/l)))**(-4\/21))**(-2\/47) assuming l is positive.\nAnswer: l**(-40\/6909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*j + 574 = 47*j - 81*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 + 0 - (-19095 + 19192)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124245, -124338, -124431, -124524?\nAnswer: -124617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19e (base 15) in base 9?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**2 + 4*k**2 - 2*k - 10*k**2 - k**2 as t*k + h*k**2 + n and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009311045 rounded to 6 dps?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*y + 153*y = -126 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/19 - 941836*h**2\/19 + 110879055800*h\/19 + 665308241328\/19.\nAnswer: 2*(h - 235462)**2*(h + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 t when four letters picked without replacement from {t: 15, e: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*k - 327 = 0, 2*u - 5*k + k - 332 = 0. Suppose 0 = -u*p + 164*p - 392. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + 3 + sqrt(475) + -3 + (sqrt(475) + -2*-3*sqrt(475))**2 - (-1 + -1 + sqrt(2736)*1*6).\nAnswer: -62*sqrt(19) + 23277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1007454 and 8994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 7:51 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 9*g + 5. Suppose -5*n + 2 = -2*l + 11, g*l = 4*n - 3. Let f = n + 7. Solve -v - f*s - 2 = -4*v, 3*v = -4*s - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 2:11 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -115?\nAnswer: -114.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1007122 - 0?\nAnswer: -1007122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.161862 millilitres to litres.\nAnswer: 0.009161862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**3 - 5*w**2 + 7*w - 10. Let k(t) = -9*t**3 + 11*t**2 - 15*t + 21. Determine -6*k(u) - 13*v(u).\nAnswer: 2*u**3 - u**2 - u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16946302 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1004)\/(-300) - 34\/(-425).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*q + 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2764466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (258\/8)\/((-1757)\/252 - -7). Suppose 46*w - 37*w - n = 0. List the prime factors of w.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170521 and 6422?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4 - 2. Let a be 83\/(-1) + (-2 - (-1 - -1)). What is the units digit of r\/(a\/42 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/12960 and -41\/1145664.\nAnswer: 5728320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-1276)*(-176)\/(-22)*(-5)\/60*5?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 k, and 1 x when four letters picked without replacement from {f: 8, x: 1, k: 11}?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 3*t**2 + 4822*t - 2*t**3 - 4822*t - 3*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*2*(sqrt(75) + 1))**2 + -3.\nAnswer: 1000*sqrt(3) + 7602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 0*y**3 + y**3)*(0*y**2 + 0*y**2 + y**2) + y**3 - y**3 + y**5 + 5*y**5 + y**5 - 4*y**5 + (-3 + 2*y**3 + 3)*(-2 - 5*y**2 + 2).\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3240645?\nAnswer: 3, 5, 37, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/12)\/(1\/15). Suppose -z*u + g + 237 = 6, -3*g + 247 = 5*u. What are the prime factors of u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/3))**(14\/11)*(w\/(w**6\/w))\/(w*(w*w*w**(-4\/5))\/w*w))**(-9\/8))**(-7) assuming w is positive.\nAnswer: w**(-18543\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3762)\/(-3344))\/((-255)\/(-40))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3\/(m**3\/m*m*m*m*m)*((m*m*m\/(m*m*m\/(m**(-1)*m)*m))\/m*m*m)\/(m\/m**(-3\/4)*m) assuming m is positive.\nAnswer: m**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:29 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -150512 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 116595360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 65300564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*i**2 + 252*i**2 + 242*i**2 + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*i - 24*i = 18513. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -46, 90, 2\/43, -4?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = z + 18, -x = -4*z + 3. Suppose 2*q + 100 = -z*q. Is 14 a factor of ((-8)\/5)\/(1\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2447*o**4 + 4889*o**4 - 2434*o**4 + 113*o**3 + 24*o**3 + 2707*o wrt o?\nAnswer: 96*o**2 + 822*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -20)*(-152)\/32. Calculate the greatest common factor of 95 and z.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = 2*o - o, 3*k = -3*o + 36. What is the second derivative of 14*l**5 - o*l**5 + 2*l + 5*l wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 0.7. Let j = 1\/227 + 451\/681. Sort x, 1\/2, j in descending order.\nAnswer: x, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-2 - -2) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -4*v, v + i - 1 = 2*v. Is 1495*(66\/(-15) - v) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times -0.6\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001100000100111011 (base 2) to base 15.\nAnswer: 3ce0bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + h + (-2*h - 2 + 2)*(-2 + 3 - 2))*(23*h**4 + 35*h**4 - 11*h**4).\nAnswer: 141*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45457.\nAnswer: 131, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -15. Does 7 divide 22\/(-66) + 818\/6 - v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 354578598 and 0.1.\nAnswer: 354578598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854 - 806 = 73*d + 1893 + 1513 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 21 - 6 - 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*v - 335 + 60 = 0, 4*v + 38 = k. What is the greatest common divisor of 29 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/58, 5, 2\/17673, -1\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.01 and 3907447 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1161, -2262, -3303, -4272, -5157?\nAnswer: -5946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -57?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12969621 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001002070669 rounded to 7 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*r + 3. Let s be (-480)\/(-320) + 7\/(-4)*(10 + -9). Which is the third biggest value? (a) s (b) r (c) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 45 = 5*g, -4*g + 28 = 3*t - t. Sort -1, t, 3.\nAnswer: -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-41110089\nAnswer: -822201.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3840) + (5*(1*sqrt(3840) + sqrt(3840)) - sqrt(3840))))\/((((sqrt(108)*1 - sqrt(108) - sqrt(108)) + sqrt(108) + sqrt(108))*-5)\/(-5*sqrt(9)*2)).\nAnswer: -320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48909 - 1467427\/30. Find the common denominator of l and -81\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1460)\/(-17) + -1 + -1. Let o = -101 - -185. Let s = f - o. Is s bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38, 128 in ascending order.\nAnswer: 4, 38, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 8. Let b be v(0). Suppose 0 = -b*z + 6*z + 24. Let k be (12\/11)\/(z\/6). Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + c - 2 = 0, -m = -6*m - 5*c + 10. Suppose 5*w - 5*x + 3 + 2 = 0, -5*x + 25 = m. Suppose -5 + 3 = 2*h, -5*r + w*h = -39. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 292 - 291.831. Let q = -0.069 + p. Sort -2\/11, q, -4 in descending order.\nAnswer: q, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(2023\/(-2278)) + -6 + (-172)\/(-28)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(119) - sqrt(119))\/((sqrt(49)*-3)\/sqrt(7)).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/154)\/(10\/70).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8074077 to the power of 1\/2, to the nearest integer?\nAnswer: 2841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63677.44nm in kilometers?\nAnswer: 0.00000006367744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/441 and -26\/147.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*a - 4*b, 0 = -8*a + 4*a + 3*b - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 - -607. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -20. Sort 1, 2, r.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.4, -2\/161?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 2*d**2 - 6*d - 2. Let z be s(-4). Let i = -70 - z. Is 474\/i + (2 - 35\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566670215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 537271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2173 and 318.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 + (-4)\/(4\/(-29)). Let h = -11 + b. Let m(i) = 6*i - 3. What is the remainder when m(5) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21444 to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d0aa (base 16) in base 13?\nAnswer: b0830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31769145 divided by 235327?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Suppose 2*j - 2*k = 2, k - 3*k + 2 = 0. Let p = 7 + -4. Solve g - j = p*g, y*z + g = -9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6668, -6674, -6686, -6704?\nAnswer: -6728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240*237\/28440*((-2)\/3)\/((-4)\/(-93)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-862 + 1430 - 6930)*(-3 - 6 + 8*i + 7)*(4 + 2 - 5).\nAnswer: -50896*i + 12724","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -29. Suppose 6 = g*q - 4. Solve -3*o - 4*p - 1 = q, 2*p + 3 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8 and -58*(-5)\/(-100) + -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let l be 0 - 3\/(y + -2). Suppose -k + l*k - 4 = 0. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 840264 + 2*y**2 - 840310.\nAnswer: -y**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2619878 less than 0.5?\nAnswer: 0.7619878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 321.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1893 - 12\/12*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 + -127. What are the prime factors of 60*58\/h - (-2)\/(-11)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2289781 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*m = -2*q - 14, 3*q - 5 = 5*m. Suppose -5*g - q*p = 11 - 41, -5*g + p = -18. Sort g, -5, 0 in descending order.\nAnswer: g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190.53 + -189. Let k = 1.03 - w. Which is the biggest value? (a) -5 (b) 2\/3 (c) k (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81508 * -0.2.\nAnswer: -16301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -4035.\nAnswer: 1\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -16130 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 8*b + 1192. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/70)\/((-2)\/14). Is 0 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qssqdfdspddd. Give prob of picking 1 s, 1 p, and 1 f.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 0*d**2 + 2*d**2. Let a(t) = -8*t**2 + 20*t**2 - 5*t**2 - 8*t**2. Determine y(a(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -208149\nAnswer: 1665192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 16) to base 10.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-218)\/(-109))\/((-4)\/(-21)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = 5*b - 125, 15 = 5*n. Suppose -9 + 1 = -l. What is the smallest common multiple of b and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-38\/3)\/(p**(-33)*p))\/(p\/(p\/p**24))**(-3\/22))**(3\/32) assuming p is positive.\nAnswer: p**(373\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -22*g**2 - 30*g - 12. Let o(f) = 67*f**2 + 90*f + 35. Let t(p) = -8*b(p) - 3*o(p). Suppose t(a) = 0. What is a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 526842487 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.889023 + -5.89. What is y rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(6 - 2 + 0)*(16 - 21*z**2 - 16).\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmvg when four letters picked without replacement from {r: 3, v: 4, m: 1, g: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-296)\/(-6))\/((-16)\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 - 113*h - 114. Give i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258297934?\nAnswer: 2, 127, 1016921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + 1000100110010011100100?\nAnswer: 1000100110010100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-35)\/14)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + 0 - (3 + 0). Let x be (4\/(-12))\/((-1)\/3). Sort x, l, -5 in descending order.\nAnswer: l, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 168, 171, 176, 183, 192?\n\"Answer: z**2 + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 6*t - 3. Let m be n(5). Let x be (8\/(-6))\/(m\/(-3)). Suppose -x*j + 7*j - 45 = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-26) + 1734\/(-221). Let z = -3 - p. Suppose -13 = -2*c - z*u, -2*u + 10 - 2 = c. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -303 + 860\/3. Find the common denominator of -76\/21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -216.\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -2\/5, -102, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f + 8*f. Let d(k) = -k**2 - 12*k - 17. Let j(x) = x + 1. Let c(t) = d(t) + 3*j(t). What is the remainder when 9 is divided by c(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 112025.\nAnswer: 336075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*s - 8, 2*z - 4*s + 24 = z. Let j(v) = -v - 7. Let a be j(z). Let c(b) = b**2 - b + 2*b + a + 0. Give c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -78, -0.1, 11, 0.2, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1082 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225128492?\nAnswer: 2, 19, 617, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -10, 2, -52.\nAnswer: -52, -10, -4, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/((z**(2\/15)\/z*z)\/z)*z\/(((z**(4\/3)*z)\/z*z)\/z*z)*z**(6\/7)\/z)**1 assuming z is positive.\nAnswer: z**(356\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by (-1 + 2)*7 - (-73 - -26)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 4*h = 6. Which is the second biggest value? (a) h (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302103110003 (base 4) to base 7\nAnswer: 220040021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2884 - 0.3.\nAnswer: -0.5884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.75 - -0.25. Let o = v - 17. Let d = 10 - o. Which is the third biggest value? (a) 4 (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1376059 or -1376083?\nAnswer: -1376059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.021 times -676\nAnswer: 14.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(i + 3 - 3 + (0 - 2 - 1)*(-4*i + 6*i - i) + 3*i + 0*i + i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889172 is divided by 12702?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)\/(k\/k**(1\/3)))**(2\/17) assuming k is positive.\nAnswer: k**(2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 153. Let c(q) = 2*q + 76. Determine -7*c(l) + 3*v(l).\nAnswer: -2*l - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -329*m**3*y**5 - 571*m**3*y**2 + 2*m**3 + 3*y**6 wrt y.\nAnswer: -19740*m**3*y**2 + 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 60\/160 - 999\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1805982, 1805843, 1805700, 1805553, 1805402, 1805247, 1805088?\n\"Answer: -2*l**2 - 133*l + 1806117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -255\/7 (b) -13 (c) 3 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9425 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -92.6 and -2.\nAnswer: 185.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*c**2*s**4 + c**2*s**2 - 10*c**2 - 20*c*s**4 + 2*c*s**3 + 17*c*s wrt s?\nAnswer: -432*c**2*s - 480*c*s + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 9?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.93 + -0.07. Let r = -1.296 + 8.296. Which is the nearest to x? (a) -0.4 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.778 + -60. Let s = 8.678 - y. What is s rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -844874 or -844935?\nAnswer: -844874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 2*p**2 - 6*p - 2. Let r(n) = 4 + 9*n**2 + 8*n**2 + 3*n**3 - 21*n**2 + 11*n. Calculate 6*r(h) + 11*z(h).\nAnswer: -4*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/66*(-2)\/((-48)\/(-81))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooqnonq. Give prob of picking 1 o and 1 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -295267*b + 83983 with respect to b.\nAnswer: -295267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109393*c**3*m**2 + 169*c**3*m - 270*c**3 wrt m?\nAnswer: 218786*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 27028145\nAnswer: 36\/27028145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -293*l**6 + 5*l**3 - 18*l**2 - 5*l + 2.\nAnswer: -35160*l**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14542770 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10636 divided by 2.\nAnswer: 5318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*w - 32*w - 4, 0 = 4*x + 3*w - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34473 - 34472.7. Which is the second biggest value? (a) -2\/33 (b) u (c) 2 (d) -16 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from owzwwwwhwwwwwh?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.4 (c) -7 (d) -0.0421 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.61 - 0.61. What is the smallest value in 1, 4, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from ellelleeleeleele?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-46 - -96 - 9).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(22\/(-52) - 3\/(-6)). Let w = 8 - 50. Let p = a + w. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7637309 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 + f + 7. Let w be m(-3). Let h = 155 - w. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b60 (base 12) to base 16\nAnswer: -678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1157\/5 + -6397\/30. What is the common denominator of y and -2 - -2 - (-39)\/108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27830237 and 0.4?\nAnswer: 11132094.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8008.208 years in millennia?\nAnswer: 8.008208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 24*d**2 + d - 30. Determine x(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.9458346 minutes?\nAnswer: 0.01576391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = 24. Suppose -k + 5*k - h = 0. Let a be (-2)\/(-6) + 14\/k. Solve 0 = -5*m + c + 2*c + 15, 2*c = a*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-3))\/((17751\/305)\/((-1)\/(-5))).\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5024864?\nAnswer: 2, 13, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-536)\/36 - 0). Let l = 842\/9 + k. Find the common denominator of l and 1 - (-13)\/(-2)*7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 13*w - 19 = 9*w, -4*w + 4 = 0. Solve 4*d = 2*x + j*x + 17, 0 = 2*d + 5*x - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 15. What is c(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 17 = -4*c, 0*w - 16 = 2*w - 5*c. Which is greater: -8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + q**2 - 4*q)*(3 - 2*q - 3)*(475*q + 22*q - 1254*q)*(q + q + q).\nAnswer: 4542*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6*1\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171592 and 686368?\nAnswer: 686368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1625 - 52*q + 27*q + 4856 - 1115 + 26*q + (-2*q - 3*q + 2*q)*(0 + 2 + 3).\nAnswer: -14*q + 5366","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.0668 - 1.6592. Round a to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253*x**6 + 2389*x**2?\nAnswer: -30360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1\/406, -6, 5, 8, -1 in decreasing order.\nAnswer: 8, 5, -1\/406, -2\/13, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 2*d + 15. Let w be z(5). Is 2\/509 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3504, -7022, -10538, -14052, -17564?\n\"Answer: v**2 - 3521*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5434 + 21733\/4. What is the fourth smallest value in 16, -4, 1.3, 4\/3, j?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 375003631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -9. Suppose w*l + 4*n = 188, -l - 3*n = 3*l - 187. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u + 18. What is r(-4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 113, 6\/5, -3, 0.1, -4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - 19.99. Let u = 20.4 + i. Which is the third smallest value? (a) u (b) -3\/5 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.35 + 49. Let l = m + 0.353. Round l to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186316 - 5*o + 186316.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/15)\/z*(z**4*z*z)\/z*(z**(-15)\/z)\/((z\/(z**(-16)*z)*z)\/z) assuming z is positive.\nAnswer: z**(-424\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 345451834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 2 + 2 + (-3 + 3 - p)*(-p + 2*p - 3*p) + 3*p**2 + p**2 - 6*p**2 + (-3 + 3 - 2*p)*(-23 - p + 3*p + 12).\nAnswer: -5*p**2 + 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 14 = -4*f + 8*g, f + 4*g + 11 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-8 - 17 - -14) - (2 + -10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -445*f + 439*f + 15360. Suppose j = 33*j - f. Solve 100\/3 + 4\/3*p**4 + j*p + 16*p**3 + 184\/3*p**2 = 0 for p.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318522 + 700522. What is p rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43632 - 39400. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -37, -88, -159, -250, -361, -492?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(2057) + (sqrt(2057) - -2*sqrt(2057)) + sqrt(2057))*2*1 + -1))**2.\nAnswer: -3520*sqrt(17) + 3291216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -193 and 5.\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99523497.\nAnswer: 3, 33174499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97076.\nAnswer: 2, 7, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-320) - ((-299)\/(-144) - 2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 18 = 0, 10*u - 7*u - 3*x + 6*x + 35 = -7 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53679123 - -91645123. Round a to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 1:41 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -25*i**2 - 2*i + 2. Let b be t(1). Let f = b + 31. Suppose -2*x - 376 = -f*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2443 = m - 48084, 3*m = 2*s - 91282. Let t = 98973 - s. Suppose -3*k + t - 223320 = l, -k = -4. What is l rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53682019*d**2 - 53682125*d**2 + 107364146*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3271b8 (base 13) to base 7\nAnswer: 13041524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 10*h + 52. Let n be s(-8). Suppose j + n = 3*j, -a = 3*j - 6. Solve z + a*z = 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3120, 4427, 3920, 1599, -2536, -8485, -16248?\nAnswer: -25825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 15224?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76675 or 76685?\nAnswer: 76675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 34 = -2*p, -p - 5*n = -28 + 2. Solve i - 5*i + p = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3697812586 + -1.3\nAnswer: -3.6697812586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 18 = -5*q. Let o(r) = -r - 40. Let n be o(-23). Let h = q - n. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2338, -8902, -19832, -35134, -54814?\n\"Answer: -p**3 - 2177*p**2 - 26*p - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - ((-3534)\/(-558) - (-41912)\/(-1428))?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 50. Let p = 39 - u. Suppose p + 14 = -4*t. Let j(f) = f**2 + 5*f - 5. Give j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 32 = -4*v + 2*z, 0 = v + 3*z - 7. Solve -2*i = -r + v, 2*r - i = r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/((-5)\/125). Let q = i - 20. Let n(g) = g**2 + 8*g - 3. List the prime factors of n(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from cccnnccc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 divided by 4?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + 4) + 0.\nAnswer: -20 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 404 + 5. Let j = w - 35. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d - 16. Let b be u(5). Let j = -32 + b. Sort -3, 5, j in ascending order.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 - 1.27. Let r = -121 - -126.1. Let h = k + r. Which is the closest to 2\/9? (a) 0.5 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126964982.\nAnswer: 2, 3, 11, 13, 563, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2091?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 250\/19 + -3688\/133. Which is greater: -16 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 5*h - 11. Let y(u) = 31*u - 1. Let k(f) = -4*f**2 - 237*f - 15. Let i(g) = -k(g) - 8*y(g). Give -4*i(o) - 9*l(o).\nAnswer: 2*o**2 - o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4994 and 363484.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/2*6\/(-12). Let a = f + 18. Let b = 5 + a. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -0.5 (c) -0.3 (d) -138 (e) -4\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**6\/360 - b**5\/30 + b**4\/8 - b**3\/2 - 2*b. Let l(d) be the second derivative of c(d). Calculate l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147379 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 0.1032.\nAnswer: -3.9216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 13*j + 1. Let d be w(-10). Let k(r) = -r**3 - 4*r**2 - 2*r - 3. Let p be k(-5). Let y = d - p. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1730 - -1949. Calculate the remainder when h is divided by 100.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25767095 to the nearest integer?\nAnswer: 5076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -191066 (base 10) in base 9?\nAnswer: -321075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 - -10096?\nAnswer: 1011a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 300.9, 4, 0.4, -4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(-4))\/((-4)\/(-16)) - 2. Suppose 3 = -3*y - 3*i + t, -y = -5*i + 22. Let q be 3*(20\/45)\/(y\/(-3)). Solve q = -s, -5*s + 1 = 4*o + 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*k - 221*k - 378*k - 2297.\nAnswer: -801*k - 2297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*k**2 - 36*k**2 - 31*k**2 + (2*k + 3*k - 3*k)*(-3*k + 2*k - k) + (-1 + 0 - 3)*(3 + k**2 - 3).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4753\/8 + 599. Calculate the common denominator of o and (-1)\/((-144)\/41) - 142\/639.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 1, n: 1}. What is prob of picking 1 p and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 - 83 = -37*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from {d: 3, m: 3, w: 4, u: 3, l: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 726.6728 centimeters?\nAnswer: 7266728000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -47. Suppose b*r - 5*a = 260, 4*r - 5*a - 45 = 167. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**4\/4 - 3*q**3 - 36*q**2 - 7*q + 57. Let i be n(-5). Solve -3*u - i*j - 3 = 0, j = -2*u - 3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24180 and 585?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 309450 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.102 + -0.181. Let d = -3.01 - -3. Let i = d - k. What is i rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 64. Let h = 19.2 + u. Which is the third biggest value? (a) 0.4 (b) h (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*m - 3*n - 24, 2*m - 6 = -2*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**4\/6 - 5*j**2 - 29*j. Let c(d) = 30*d. Calculate c(l(p)).\nAnswer: 120*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/8 + 0 - (-2366)\/(-336)*-1257. Calculate the highest common divisor of 501 and j.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/23 - 103\/46. Let v = -408 + 413. Sort 3, j, v in decreasing order.\nAnswer: v, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 57, 9997 in decreasing order.\nAnswer: 9997, 57, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 4. Let d(q) = -q**3 - 6*q**2 + 9*q + 7. Let l be d(-7). Let x be r(l). Solve 5*o + 0 = x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45931.2 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/16)*y)**(3\/5)\/(y**10*(y\/(((y**(11\/2)*y)\/y)\/y))\/y) assuming y is positive.\nAnswer: y**(-383\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/(-6) + -161*(-24)\/(-168).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-7)\/2)\/((-8)\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 698, 1627, 2898, 4493, 6394, 8583, 11042?\nAnswer: 13753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 248 = 5*u + 835, 0 = 5*u - 3*d + 583. Let x = u - -137. What is the common denominator of (-110)\/105*(-14)\/x and -8\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -42*t - 5. Let v(w) = -629*w - 74. Determine -5*v(i) + 74*y(i).\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 4*r + 2*r)*(3*r - 2*r + 3*r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -5*u - 182. Solve 4*n + 47 - 11 = 4*j, -u*j + 10 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248 - 251. Let c(t) = 15*t**2 + 6*t - 4. Does 4 divide c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h - 2 - 4*h)*(591 - 611 - 1079).\nAnswer: 5495*h + 2198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*w**3 + 62*w**2 + 153*w + 5848852 wrt w?\nAnswer: 12*w**2 + 124*w + 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + f + (0*f + 0*f + 2*f)*(0 + 0 + 3))*(-2 + 2 + f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -378.378 - -8\nAnswer: -370.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 2, p: 2, r: 9, h: 3}. What is prob of sequence hdh?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.7 - 11. Let d = -97 + 92. What is the nearest to a in d, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)\/((-11)\/11)*1. Let b be (-7 - -5)*(1 - 0)*-2. Solve 2*x = -3*f, x - b = -3*f - d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 789*r + 784*r - 1569*r - 6, 109*r - 4*s + 382 = -0*s - 98 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 -0.0001708 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -824.\nAnswer: 3\/824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 16*t**2 - 10*t - 298. Let p(l) = -5*l**2 + 3*l + 99. Give -3*a(b) - 10*p(b).\nAnswer: 2*b**2 - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7. Let f = -8709\/10 - -876. Let n = f - 163\/30. Which is the second biggest value? (a) u (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 509080377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:52 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 1 + 2 - 2.\nAnswer: -(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 y when three letters picked without replacement from {j: 4, y: 5, l: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g - 1. Let h be k(-1). Let d = h + 12. Suppose -18 = i + d*q, 3*i = -i - 4*q - 8. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - q = -33*u + 33, 252 = 5*u + 3*u - 2*q for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.11, 5, 49795\/6, -4, 3?\nAnswer: 49795\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4416852*y**2 - 8833587*y**2 + 4416778*y**2.\nAnswer: 43*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1091376684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) 0.5 (c) -1\/128 (d) 102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 20*r - 128. Let i be o(-25). Put 0, i, 2 in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1656*y**5 + 36*y**2 + 21*y wrt y?\nAnswer: 99360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6708847 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - 3*u**4 + 0*u**4)*(-1 + 3 + 0) + 5*u + 295 - 6*u**4 - 295.\nAnswer: -10*u**4 + 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/23 at most -0.011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036834 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 336048 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 16) in base 4?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -83. Do q and -30 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/(1846\/(-156)) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 221*v**2 + 21 - 21 - 216*v**2 - 56*v**2 in the form w*v + x + p*v**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 19*r**2 + 86*r + 26. Let m be c(-12). Solve 3*p - 3*z - 18 = 0, m*p - 3*z - 3 - 11 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8575\/24 + -1070\/3. Let h(f) be the first derivative of -17 - 5\/12*f**3 + 5\/4*f - u*f**4 + 5\/4*f**2. Factor h(l).\nAnswer: -5*(l - 1)*(l + 1)*(2*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2))**(18\/11))**10 assuming x is positive.\nAnswer: x**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 2*a - 1. Let i(r) = 5*r**2 - 5*r + 3. Let z(t) = 13*d(t) + 6*i(t). Let s(o) = o**2 - 2 - 2 + 5 - o. What is -3*s(u) + z(u)?\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-9))\/((-2)\/(-18)). Let a(m) = -m**3 + 4*m. What is the remainder when a(s) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 386*j + 55155. Calculate i(-143).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebb when three letters picked without replacement from {e: 4, b: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10.24. Let f = -1.76 + s. Let i = 13\/90 - -1\/45. What is the third biggest value in -4, f, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/38 - 6\/4. Sort -2, 5, t, 9 in decreasing order.\nAnswer: 9, 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + (-10)\/3. Let a = -17 - -15. Is (2 - (a - o)) + 31 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 - 37 = -i - 3*i + 3*p - 48, -2*p = -3*i + 33 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020 (base 3) in base 14?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11940895 less than -464237?\nAnswer: -12405132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 385, 388, 389, 388?\n\"Answer: -z**2 + 6*z + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 1. Suppose -4*x - c - 47 = -4*q, -32 = -4*q - x. Calculate the remainder when 51 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36531 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/((-320)\/(-24)))\/((-4)\/10). Which is the closest to -3? (a) j (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + -5*(sqrt(275) + -1) - ((sqrt(275) + -5*(sqrt(275) + -2) - sqrt(275))*-3)**2).\nAnswer: -62767 + 4475*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 10:19 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 13 = -2*m, 15 = -50*i + 53*i + 3*m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 30 + 171*t**2 - 75 + 30.\nAnswer: 171*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 21 + 31*t + 107*t.\nAnswer: 138*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16 and 0.52.\nAnswer: -15.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let f(q) = -4 + 0 + q + 4. What is 3*f(v) - r(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*g + 20, -4*n - 18 = g + n. Suppose 2*j = 0, -2*o = -j - g*j. Solve o = -4*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005 divided by 1?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1555 + 268384155.\nAnswer: 268385710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 5*k**2 - k + 3. What is the remainder when 22 is divided by z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -0.02, 5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -248 + -21c?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**8\/23520 + k**7\/1764 + k**6\/315 + k**5\/105 + k**4\/3 - 4*k**2. Let j(n) be the second derivative of s(n). Factor j(a).\nAnswer: 2*(a + 1)*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -9*k**6\/40 + 21*k**5\/20 - 2*k**4 + 2*k**3 - 15*k**2. Factor a(w).\nAnswer: -3*(w - 1)*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5656.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.108 + 18.408. Which is the third biggest value? (a) f (b) -1 (c) 0.0455\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7670.374 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5402204839.002449 + -5402201554. Let i = -3285 + y. What is i rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1932, -1948, -1982, -2040, -2128, -2252, -2418?\nAnswer: -2632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g - 502 - 2*g + 603. Let w be q(-11). Solve a - 1 = -5*v, 0 = w*a - v - 0*v - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -522*h - 36030. Determine y(-69).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 963153 and -6088?\nAnswer: 969241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15901862899665 from 4.\nAnswer: -15901862899661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71 - 3 - 23 - 15)*(-4*j**3 + 4*j**3 + j**3) to m + h*j**3 + f*j + o*j**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - (-6 - -3))*(-16)\/5. Is 18 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*y + 99 = 147*y. Suppose 364225 - 71944 = y*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -7354497.\nAnswer: 73544970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**(-1\/6)*p)*p)\/p**7*p**(-2\/13)*p\/(p**(3\/5)*p)*p*p assuming p is positive.\nAnswer: p**(-2699\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -13\/2, -4?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(300)*3*1)**2 + (sqrt(300) - (-1 + sqrt(300) + 1))).\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 1. Let v = 650 - 649. Let f(s) = s**3 + s**2 - s. Let y(q) = 25*q**2 + 5*q + 30. Let m(d) = 5*f(d) + y(d). Determine v*m(z) - 30*p(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -10*u**3\/3 + 11*u**2\/2 + 11*u - 1. Let c(y) = -10*y**2 + 6*y**2 - y - 2*y**2 - 1 + 7*y**2. Determine 2*a(l) + 22*c(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6, 144, 0.5, -5.67 in decreasing order.\nAnswer: 144, 6, 0.5, 0.2, -5.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y = -3*y - 25*y - 3. What is m in -35\/4*m**4 + 33\/2*m**y + 73*m**2 + 6*m - 8 = 0?\nAnswer: -2, -2\/5, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*l + 341, 3*l - 4*k = -0*l + 514. Suppose l*u = 182*u. Solve -j = -u*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 7048\nAnswer: 13\/7048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1833, 2\/17, -0.54?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 - 0) - (25 - (-27 + 29))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, -4, -7\/13, -0.05, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 1\/2 (c) 0 (d) -158 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 + 710*a**3 - 4005*a**2 - 10160*a - 5440 = 0 for a.\nAnswer: -1, 8, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 19*j - 89. Let p be u(8). Let q(o) = o - 1 + 1. Let c(r) = 2*r + 2. Let i = 5 + -1. Determine i*q(d) + p*c(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/7 (c) -7 (d) -649 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Let h(v) = -2*v**2 + 13*v - 12. Let y be h(5). Suppose 5*d + 3*p + y = 27, 18 = m*d + 2*p. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-532)\/(-12103))\/(20\/(-350))\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - d + 2. Let f be r(0). Let l = 0 + f. Suppose -16 = l*b - 6*b. Solve -2 - b = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (9 + 70 + -38).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3422668 and 17\/22247342.\nAnswer: 44494684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (17 - -24)) + 3 + (-2 - 0) + 3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 119, 22\/3, -2\/3, 2\/7, 60, -0.3?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 39*z + 5. Suppose 9*g + 62 = -55. Let v be c(g). Solve k + v = x, 2*x - 3 = 4*k + 7 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.06 (b) 3\/4 (c) -2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 100560*a - 1912084.\nAnswer: 4*(a - 25159)*(a + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.341682 to 3 decimal places.\nAnswer: -0.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-127)\/2)\/(((-4)\/8)\/1). Let n = f + -133. Let j(h) = h**2 + 8*h + 8. Give j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -644 + -2?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 29*u + 228. Calculate k(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4051*n + 28. Let g(m) = 2*m + 1. Let t(p) = -6*g(p) + u(p). Let b be t(6). Is 1\/5 + 1 + b\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**39))*(b\/b**20)\/b*b*b*b*b*b)\/((b*b\/(b**(3\/28)*b))\/(b*b\/b**(-28))))**(-7\/2) assuming b is positive.\nAnswer: b**(-1515\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340776 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56047132 to the power of 1\/3, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from ininninaavanooo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 145553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -758059\/23 + 32959. Which is the nearest to 1\/8? (a) -3 (b) 25 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.368 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.1, 4\/37, 27, -310?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 29*y**2 + 15*y + 8. What is the units digit of h(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94695 = 16*y + 95207 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:44 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = -2*x + 1425. Is 41 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34928550*s**2 + 9198132?\nAnswer: 69857100*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -14463?\nAnswer: 14456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*n - 2*n**2 + 438*n + 1 - 226*n + 22*n**3 to the form z*n**2 + p + i*n**3 + v*n and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*c**2*h**2 + 254*c**2 + 13*c + 147*h**4 + 18*h wrt h.\nAnswer: -304*c**2 + 1764*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-72)\/(-546) - (-6)\/(-21). Let k = -0.18 - -1.18. What is the nearest to k in 6, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2051247 + 86?\nAnswer: 2051333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38674357 and 9.\nAnswer: 38674366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 309 = 13*f + 3*k, 2*f = -2*k + 198. List the prime factors of f.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(3)*1)**2 + sqrt(3))*1 - sqrt(6)\/(-1*sqrt(2))) + (1 + sqrt(3888))**2*-4.\nAnswer: -15557 - 286*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, q: 12, u: 2, k: 3}. Give prob of sequence qyku.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1681440 divided by 336288?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 38514 = 3*y, 0 = 3*d + 414*y - 411*y - 38508. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvgjgjgjjjvj. What is prob of picking 1 j and 1 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - n**2 + 4*n**2 + (0*n**2 - 4*n**2 + 2*n**2)*(-2 - 2 + 6) + n**2 + 12*n**2 + 2*n**2 + (-4*n**2 + 0*n**2 + 7*n**2)*(1 - 2 + 2).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 3399801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 11\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64268867?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -290906, -581813, -872718, -1163621?\n\"Answer: h**2 - 290910*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 3*a - 3. What is the remainder when 2\/(-7) + ((-1324)\/(-28) - 0) is divided by i(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**2))\/s**(2\/3)*(s*s**0\/s)**(2\/51)*((s**0\/s)**14)**(3\/5) assuming s is positive.\nAnswer: s**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35279 from 1719.419.\nAnswer: 36998.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230545.412 rounded to the nearest 10000?\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 116*q**2 - 1142*q + 1260.\nAnswer: -2*(q - 1)*(q + 14)*(q + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9*-6*-3. Suppose -5*x + t = -6. Solve -25 = x*g + 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*m = 10, 0*l - 11 = -l + 5*m. Which is bigger: l or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(b + 4*b - 3*b) - 2*b - 18*b + b + 2 + b - 2 + 2*b - 2*b + b + (4*b - 3*b + 0*b)*(3 + 0 - 1) + 5*b - 3*b + 0*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 75. Let m be v(-14). Is 8 a factor of m*(-4)\/8*1528\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -120, -158, -196, -234, -272?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, x: 2}. What is prob of sequence lxx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:50 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*s - 12, -6*s + s = 3*r + 4. Let x = r + -1. Solve -u - 3 = -x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 162\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 9. Let r be b(-4). Suppose 14 + r = 5*d. Solve -5*u + d*u = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s - 2. Calculate a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a factor of 1429198000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {u: 1, s: 6, p: 8}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/9 + 80*u\/3 - 238\/9 = 0 for u.\nAnswer: 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q + 16. Let u(v) = -3*v - 7. Let s(j) = 3*m(j) + 7*u(j). Calculate s(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 18415\nAnswer: 460375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44732993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/6)\/(6\/27). Suppose -2*c + 3 = -4*x + h, -5*x - c = -15. Suppose -5*b = -2*u + 18, -4*b = -u + 15 - x. What is the closest to -0.1 in 1\/3, 2\/11, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2587, 9620, 21425, 38062, 59591, 86072, 117565, 154130?\nAnswer: 195827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 16 + 21 = 3*x, -15 = -x - 4*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -21, 6 in decreasing order.\nAnswer: 6, -0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1220\/21*r - 2\/21*r**2 - 186050\/21.\nAnswer: -2*(r - 305)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 1. Let s be h(1). Suppose 0 = s*g + 3*g + 3*i - 107, 2*g - 3*i - 47 = 0. Calculate the highest common factor of g and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206645 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4042 + -3988. Solve -w*c = -61*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54575.23l in millilitres?\nAnswer: 54575230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 4*t**2 + 3*t + 2. Let p be y(3). Suppose 0 = 4*f - q - 4 + 21, p*f = 5*q + 5. Sort f, 3, 1\/6.\nAnswer: f, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -2. Suppose 5*n - 68 = -2*j, -6*n + n + j = -h. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**4 - 1932139*d**3 - 16295021*d**2 + 4*d wrt d?\nAnswer: -216*d - 11592834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16144*g*p**2 + 12*g*p - 602*p**2 - 188521*p wrt p?\nAnswer: 32288*g - 1204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1336000 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3743?\nAnswer: 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 2*n**2 - 2*n + 1. Let m(c) = 303*c**3 - 6*c**2 + 6*c - 3. Give -m(j) - 3*t(j).\nAnswer: -306*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 221*z**2 + 2*z**3 + 3181 + 42*z - 1591 - 1585 wrt z?\nAnswer: 12*z + 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -2.316.\nAnswer: 0.2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8164 minus 0.050699?\nAnswer: 8163.949301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i**2 + i + 1. Suppose -2*y = -7*y + 60. Let v = -11 + y. Let t(z) = z**2 + 1. Give v*t(c) + r(c).\nAnswer: c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775*q**2 - 449*q**2 + 15*q - 589*q**2.\nAnswer: -263*q**2 + 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iizzziizzzzzzzzzzzz. Give prob of picking 1 z and 3 i.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 22*u - 8*u.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13792632 and 112346?\nAnswer: 179304216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4879 or -4844?\nAnswer: -4844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-2 - 53 - (-81 - -80)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 217835*d**2 + 2377280880*d + 101820698460.\nAnswer: 5*(d + 43)*(d + 21762)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + 0*q)*(-19 + 4 - 1)*(0*q + 5*q - q).\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3406 - 3402. Determine w, given that -3\/4*w**c + 1\/2 + 1\/4*w**2 - 5\/4*w + 5\/4*w**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30315318 and 129642?\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*o - 16 = 0, -2*u + 5*o - 2 = -6*u. Calculate the remainder when 67 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.72 - -56.28. Let s = -58 + n. Which is the nearest to s? (a) 3\/5 (b) 0.3 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*5\/105*54\/150*-5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 264150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.06 (b) -0.4 (c) -0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 6*x - 8. Suppose -120 + 90 = -10*p. Determine c(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 8. Let h be 2\/25*5*r. Calculate the remainder when 24 is divided by h*(1 - 11\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-6))\/(3\/(-12)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5002912804 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*b - 3*l + 5, -5*b = 4*l - 42. Calculate the lowest common multiple of b and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5610\/27 - (-2)\/9. Suppose -3*b + 46 = -3*x + k, 4*b = -4*x + 208. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 15, -1, -44, 1 in increasing order.\nAnswer: -44, -1, 1, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4234, 4245, 4264, 4291?\n\"Answer: 4*l**2 - l + 4231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 17.5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvuupuuupzuzuzvvuvu. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 11*m. Suppose m = 7*b - 2*b + 10. Let u(k) = -k - 4. Let g be u(-7). Put g, b, -3 in decreasing order.\nAnswer: g, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -74 + 18\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3378093*g - 63*g**2 - 3378093*g.\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382743 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1635.381 to zero dps.\nAnswer: -1635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 834357 by 834357.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + -7. Let x = 68 + o. Let u = x - -32. Solve u = 4*h + h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9\/5)\/(u*u\/(u\/(u\/u**(-2\/29))*u)))\/(u**15*u\/((u\/u**(10\/7))\/u)) assuming u is positive.\nAnswer: u**(-20602\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 2*i**2 - i - 4. Suppose 19 = -3*r - 11. Let t = -7 - r. Determine d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -10, 5 in increasing order.\nAnswer: -10, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2. Suppose 5*d + 0*k - 3*k = 153, -k = 4*d - 136. Let v(f) = 34*f**2 + d*f**2 - 64*f**2. Determine 9*s(w) + 4*v(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(50)\/(sqrt(10)*-3) + sqrt(5) + sqrt(1980)\/sqrt(11))**2 + 0.\nAnswer: -160*sqrt(5)\/3 + 2144\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34 + 15 - 16 + (3 + 0 - 1)*(0 + 1 + 1))*(-7*l**2 - 3*l**2 + 2*l**2) - l - 5*l - 18*l**2 + 8*l to i*l + h*l**2 + t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 900046153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g + 4*c - 16 = 0, 5*g + 5*c - 45 = 0. Suppose g*o + o = 20. Let z be -3 + (18 - 2)\/o. Let s(w) = 5*w**2. Calculate s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 234466?\nAnswer: -93786.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 135035*a\/2 - 18234451225\/4.\nAnswer: -(a + 135035)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 - 16*a + 10*a + 17*a + 4 with respect to a.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -1131, -1692, -2251?\nAnswer: -2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + sqrt(1331) + (sqrt(1331) - 3*sqrt(1331))**2*-2 - ((-6*(sqrt(1331) + 1 + sqrt(1331)) + sqrt(1331) - sqrt(1331))**2 + (sqrt(1331) + -2)*-5).\nAnswer: -202360 - 1518*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/11*(6\/(-3))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 11 = 3*h + 21*l, 16 = 5*h - l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -166503711.\nAnswer: -2\/166503711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1428, 3003, 4722, 6585?\nAnswer: 8592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(1365\/28)*(-885)\/(-4366).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -15*y**2 + 10952*y - 76489. Calculate x(7).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -6 - 0) + 3 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88 or -259?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -5*sqrt(32))*-4 + sqrt(8)\/(sqrt(4)*2) + 3 + ((-1 + 5*sqrt(1250) + sqrt(50))*-1)**2.\nAnswer: -367*sqrt(2)\/2 + 33804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -p - 18, 12 = 2*p + 4*m + 38. Let q = 34 + p. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-91 - -56 - -106)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-981)\/(-108) - 9)*-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17 + 1913)*(-2)\/(-5). Suppose h + m = 4*q - 2570, -5*q = -3*h - 4181. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14914*o - 6914*o + 9151*o.\nAnswer: 17151*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - sqrt(704)*2)**2 + sqrt(66)\/(sqrt(30)\/sqrt(5)).\nAnswer: sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/2 - 4276862*o + 9145774283522 = 0. What is o?\nAnswer: 4276862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 - 4886284540.289?\nAnswer: -4886284540.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.0077 * -2.\nAnswer: 40.0154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8525.\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4.5, 788, 2 in decreasing order.\nAnswer: 788, 2, 3\/7, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaccayvaaaaaa. Give prob of sequence ac.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27530004 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -510.94 - -511. Sort -0.1, 29, a in increasing order.\nAnswer: -0.1, a, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 323*l**2 - 10*l - 5. Let p(k) = -163*k**2 - 4*k - 2. Give -5*p(i) + 2*r(i).\nAnswer: -2*i**3 + 169*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -7385834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38*(-15*13\/(-390))\/(23\/23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -64, -9, 2, 0.2 in descending order.\nAnswer: 2, 1, 0.2, -9, -10, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -35. Suppose 1464 = -4*r - q*r. List the prime factors of 2 + -1*(-3 + r\/4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -34648*l**2 + 5124. Let s(f) = 488*f**2 - 72. Let j(u) = 6*d(u) + 427*s(u). Let n(c) = -c. Determine n(j(r)).\nAnswer: -488*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71737.5 milligrams to kilograms.\nAnswer: 0.0717375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = 0, -56 = 5*o - 0*o + 3*p. Let x(s) = 2*s**2 + 25*s + 6. Let r be x(o). Let t = -41 - r. Solve 0*i = t*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 4, r: 3, j: 5}. What is prob of picking 2 j and 2 p?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or -6163.3?\nAnswer: -6163.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 - 86. Find the second derivative of 2*q**3 - 47*q - 189*q**5 - 17*q + g*q**5 wrt q.\nAnswer: -1620*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssswwsss.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + -2*(-1*sqrt(120) - sqrt(120)))\/(sqrt(242)*2 - sqrt(242)))\/(-1*1*(sqrt(1452) - sqrt(1452)*2)).\nAnswer: 5*sqrt(5)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1245513.\nAnswer: 7\/1245513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onuly. Give prob of picking 1 n and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 2267932*n**3 - 1511956*n**2.\nAnswer: n**2*(n + 755978)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 6) + 7 + -2 + -13 + (8 - 28).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 20 - 23. Calculate the remainder when 136 is divided by 48 - (-10)\/(-15)*g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 4*r. Let d be ((-12)\/r - -4)\/1. Are 0.5 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -b + 5, s = 5 - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151099859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 260\/8*-22*(-54)\/3861.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/7)\/g)\/(g*g**(1\/7)*g*g))**(-23)\/((g\/(((g**1*g)\/g)\/g*g)*g)**(1\/7)\/(g**(-1\/5)*g**(3\/8))) assuming g is positive.\nAnswer: g**(30369\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**5\/7 - 18*n**4\/7 - 12*n**3 + 108*n**2\/7 + 78*n\/7 - 90\/7 = 0 for n.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*h + 109. Suppose h*b - 23*b - 140000 = 0. Round b to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-6)*2 - -3. Let d be -4 + p + (-1)\/(-1). Suppose 5*w = -d*n + 6599995, -5*w = 2*n - 3265911 - 1134084. Round n to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 102 + 28)*(5*r**2 - 6*r**2 + 2*r**2).\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.31, 0.04, 6, -5, -4, -16 in descending order.\nAnswer: 6, 2.31, 0.04, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + 1. Let k = -0.5 + d. Is k >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -598, -1428, -2712, -4678, -7554, -11568?\n\"Answer: -38*p**3 + p**2 - 567*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1, 6 in decreasing order.\nAnswer: 6, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 992 divide 2523792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5003376195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 172213 (base 8) to base 6\nAnswer: 1201455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 6*z**2 - 13*z + 16. Give i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -737*w**4\/12 + 1361*w**3\/6 + 1318*w. Find the second derivative of b(z) wrt z.\nAnswer: -1474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 3*q**2 + 1160*q - 3503. Calculate m(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8965 divided by -1793\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 48*a**3 - 40*a**3 + 0*a**2 - 38*a**3 + 103*a**3.\nAnswer: -23*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 500271773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13099 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -d6ea (base 15) to base 3\nAnswer: -2022100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -36, -78, -156, -282?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -38, -66, -96, -128, -162, -198?\n\"Answer: -q**2 - 23*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**7\/1680 - l**6\/480 - l**5\/480 + l**4\/96 - 8*l**2. Factor k(p).\nAnswer: p*(p - 2)*(p - 1)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*y - 11*y - 32*y - 3*y + 4*y + y + 4*y - 2*y - 3*y + (1 + 4 - 3)*(3*y - y - 4*y))*(-3 + 168*y + 148*y - 280*y).\nAnswer: -2412*y**2 + 201*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w*((w*w**(-1\/6))\/w)\/w)\/w))\/w*w*w\/((w*w*w\/(((w*w*w**25*w)\/w)\/w*w))\/w*w))\/(w**9*(w**1\/w)\/w))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {x: 4, k: 16}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3*-3)\/(((-521172)\/(-930))\/467)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3731*w = -1318*w + 232254 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 9*v - 6. Calculate t(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0051 and 0.0065 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 987383 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2348 - 6125. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 14) to base 15\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*s**2 + 96*s**2 + 78*s**2 + 94*s**2 - 362*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttgg. Give prob of picking 2 t and 1 g.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4047797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:02 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*s**3 - 32*s**3 - 118*s**3 + (-13 + 13 - 4*s)*(-2*s**2 + 0*s + 0*s))*(-3 + 3*s + 3).\nAnswer: -687*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*x - 424*x + 9963. Let q(m) be the first derivative of 0*m - x + 22\/3*m**3 - 41\/2*m**2. What is the second derivative of q(g) wrt g?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1397\/7 - -200. Which is the third smallest value? (a) 2\/3 (b) j (c) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28002 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*r**2 + 2*r**3 + 4*r - 2*r - 2450*r**2 - 617*r**2.\nAnswer: 2*r**3 - 2823*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62*((-37)\/(-11544)*52)\/((-1)\/3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-16)\/(-30)*(-6)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 - 18 = 0. Suppose -5*z + 0*p + 391 = 4*p, i*z - 312 = -3*p. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15312, 15314, 15316?\n\"Answer: 2*h + 15310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32 - -2)*(-1250084)\/8. Let v = 12511778534\/2355 + n. Let t = v - -1\/157. Put 2, 0, t in decreasing order.\nAnswer: 2, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-3))\/((-2)\/942) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*f**3 - 7*f**4 - 18*f**3)*(12*f + 42 - 42) + (-3*f + 4*f - 2*f)*(-3 - 2 + 7)*(3*f**4 - 2*f**4 + f**4) - f**4 + f**5 + f**4.\nAnswer: -87*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 308*a - 10 - 80*a - 73*a - 72*a - 78*a. Give o(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 761 = 3*f, 2*f + 5*p - 172 + 684 = 0. Let s = f + 1251\/5. Is s less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2245710097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 4*n**3 + n**3 + 2*n**3 - 5*n**3. Let s be g(3). Suppose y - s = -3*q + 4*y, -2*q - 4*y = -10. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13869057, 13869058, 13869059, 13869060, 13869061?\n\"Answer: j + 13869056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-16 + 1 - (-27 - -11)) + 74.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39412446 to the nearest integer?\nAnswer: 6278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51*-0.1496.\nAnswer: 0.076296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 - (-15 + 1 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -12*s + 3*n, 2*s - 45 = -5*n - 41 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.057 - 82.057. Let h = d + 80. Which is bigger: 188 or h?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = -0*w. What is the second derivative of 17*x**4 - 5*x + 12*x**2 - 2*x**w - 10*x**2 wrt x?\nAnswer: 204*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (297\/18)\/((-1)\/2). Let q = l + 35. What is the remainder when 150\/q - 8\/(-2) is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82503588, -82503557, -82503524, -82503489, -82503452?\nAnswer: -82503413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*y - 493*y - 745*y - 59670 = -149*y for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(-48)*(w*w**(1\/3))**(-3\/7) assuming w is positive.\nAnswer: w**(668\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1035159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(2\/13)*x)\/x)\/(x\/x**(-6)))**(-28))**6 assuming x is positive.\nAnswer: x**(12768\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkawmakmmwmamakkmmm. What is prob of sequence ma?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1145341*m**2 - 1862146*m wrt m.\nAnswer: 2290682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 7. Suppose -18 = -h + 3*i, h - 8 = -0*h + 5*i. Let w = h - m. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4\/8 + 235725*m**3\/8 - 6170411943*m**2\/8 + 53713103239743*m\/8 + 1241941149330267\/4 = 0 for m.\nAnswer: -46, 26207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - 3, -2*o + 3*t + 1339 = 0. Let p = o - 235. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/4 - 295*y**4\/4 + 21607*y**3\/4 + 22199*y**2\/4 - 5402*y - 5476 = 0.\nAnswer: -1, 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 62*a**2 - 224*a - 216.\nAnswer: -2*(a + 2)**2*(a + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1331 + 1331 - 51*n)*(-1 + 5 - 3).\nAnswer: -51*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-68)\/85)\/((-6)\/45) - -19. Solve 0 = -4*z + d - u, -z - 2*z = -2*d + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s. Let u(n) = n**2 - 52. Determine u(i(q)).\nAnswer: 144*q**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -155*h - 1605. What is s(-11)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 136*c - 92. Determine w(-27).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d3 - 69?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 189239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 - -117. Suppose 7*b + 63477 - 9045 = q. List the prime factors of (-2)\/(-10) + b\/(-45).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(26)\/sqrt(2))**2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/21)\/(h*h**(-2\/5)\/h) assuming h is positive.\nAnswer: h**(52\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 651 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7377 divided by 1.\nAnswer: -7377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, t: 6}. What is prob of sequence nt?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -0.74. Let w = h + -0.06. Let j be (-6)\/(-27) + (-8)\/(-45). Which is the nearest to w? (a) j (b) -4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1042 divided by 4.\nAnswer: 521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 11 = -5*p. Suppose p = 4*i - 6. Solve 3*n - 10 = j + i, -3*j = -4*n + 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwdc when four letters picked without replacement from {w: 1, d: 3, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -35303473 + 13?\nAnswer: -35303460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -532450 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 103. Give a(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 11:00 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 2*z + 1. Let m be x(-4). Let r = 11 + m. Let c(h) = 34*h - 3. Is c(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/24 + (-4)\/16. Let i = -12 - -18. Let v = i + -4. What is the nearest to o in v, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 12. Let g = -285 + 289. Factor -g*m + 3*m + 8*m**3 - 5*m + 2*m + o*m**2.\nAnswer: 4*m*(m + 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-8) + 351\/(-36). Is -1 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -62935.\nAnswer: 2\/62935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 4, -2\/9, 14, -135 in descending order.\nAnswer: 14, 4, 3, -2\/9, -0.3, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9577975 and -47\/6245200?\nAnswer: 1992218800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 68814, -0.3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (31*77\/(-4774))\/(-3*(-44)\/(-36)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = p - 4*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 + -4 + 5 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 18\/5*b**3 - 18\/5*b + 4\/5*b**2 - 4\/5 = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:27 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Suppose -5 = -t - p, -4*o = 3*t - 55. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11978*k. Let a(t) = -21*t**2. What is y(a(o))?\nAnswer: 251538*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v**2 - 10*v - 8*v**2 - 6 + 10*v wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 3, n: 1, v: 5, f: 1, r: 2}. Give prob of sequence frn.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {r: 5, j: 1, m: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**9*k)\/((k**(-6)*k)\/k))\/((k\/(k*k**(-10)*k))\/(k\/(k*k**8))) assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**3 - 3*x + 3. Let s(n) = -5*n**3 - 2*n + 2. Suppose -3*b = -i - 2*b, -b = 3. What is i*s(d) + 2*r(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 113362233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + (-20 - -35) + -30\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -170.7 times -0.41662\nAnswer: 71.117034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -99 + 50 - (2 + -8 - 69 - -5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1575033.34 and 101.\nAnswer: -1574932.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 - 133*w + 1 + 2.\nAnswer: -133*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2)\/(-4) + (-54)\/(-27)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 - 119 - (0 + 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 6. Let y = 111\/412 - 2\/103. Which is the third biggest value? (a) x (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/30*(-12)\/(-59199). Let i = 407190463\/394660 + g. Let y = 10269\/10 - i. Calculate the common denominator of y and -103\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4348*0.6187\nAnswer: 2690.1076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m**2 + 248*m - 1211. Determine q(7).\nAnswer: 1309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1921*j**2 - 119*j + 119. Let k(a) = -48*a**2 + 3*a - 3. Give 238*k(i) + 6*z(i).\nAnswer: 102*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i - 2*i**2 + 6*i**2 + 7*i**2.\nAnswer: 11*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24667454 to the nearest integer?\nAnswer: 4967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69824278?\nAnswer: 2, 19, 1837481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, d: 4}. What is prob of picking 4 d?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a. Let p(z) = -54*z**2 - z + 7011. Give p(h(u)).\nAnswer: -54*u**2 - u + 7011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 + a - 2. Let m be s(5). Suppose -m*j = -4*j + 13. Suppose 4 = r - j. Calculate the remainder when 82 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1374 (b) 2\/5 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29649 times 29981\nAnswer: -888906669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(-6) - (-2 - 35\/(-14)). Let b = -11\/5 + 12\/5. Put -5, b, x in increasing order.\nAnswer: -5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.5 - -44. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/174 + -691\/870. What is the biggest value in -0.3, 5, -4, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95470320 divided by 4785?\nAnswer: 19952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14.067*-3636\nAnswer: -51147.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 - 492784*i - 492780 = 0. What is i?\nAnswer: -123195, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1))**29*q\/(q**(2\/17)*q)*q**(1\/2)*(q\/(q\/(q\/q**(-2)*q)))\/((q\/(q*q**1))\/q)*q**(-4)*q*q**(-3\/5)*q assuming q is positive.\nAnswer: q**(643\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 11*c - 4284. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/166248 and -119\/429474.\nAnswer: 5153688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4 - 1643*g**3 - 6557*g**2 - 1633*g + 9834 = 0.\nAnswer: -1639, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 14994*m + 328416.\nAnswer: 3*(m - 4976)*(m - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let a(z) = -5*z + z + 2*z. Give a(u(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19096 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtt when three letters picked without replacement from ltwuuwwllttu.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 2*f + 11 = 46*x, x - 4*f - 5 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41907 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.12.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + x + 15. Suppose -11*w = -19 - 14. Suppose 2*j - h - 1041 = -w*j, x*h + 607 = 3*j. What is the greatest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1214*o + 2*i - 53 = -1207*o, 0 = 2*i - 21 - 67 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161.71 - 161. Let m = 2.59 + p. Round m to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1204, 4492, 9854, 17284, 26776, 38324, 51922?\n\"Answer: -s**3 + 1043*s**2 + 166*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2832 + 3530 = -4*s, 2*s - 9511 = -3*p. Is (-4 - (-8 - 4)) + p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose -5 = t - 2*g, 0*g = -f*t - g + 16. Suppose 0*d + t*d = 111. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Suppose -2*o + 10 = -t, -4*t = o - 9*t - 23. Suppose 8*i = o*i. Is i != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-57)\/(-15) - 1. Suppose -32 = 2*v - 3*k + 29, -2*k = 2*v + 46. Let p be (6\/9*(-4 + -2))\/v. Which is the closest to -1\/3? (a) p (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 + -56)\/(5\/(-65))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865*a + 426*a + 438*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 769360.6 milligrams to tonnes.\nAnswer: 0.0007693606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w + 10 = 0. Let x(p) = -p**3 + p - 1. Let t be x(w). Suppose 0 = t*r + 3*d - 85, 4*r - 65 = -2*d + 3. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 - 5*n**2 + 3*n + 9. Give j(-3).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -549, 675 in descending order.\nAnswer: 675, 1, 0, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 0. Suppose 1 = -h*t - t. Let r = -1 - -3. What is the closest to t in 0, -3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -389 + 27357?\nAnswer: 26968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 228618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/1350*675\/6*-4*2\/(-20).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 7*q + 5. Suppose -72 = -2*t + 4*a, -2*t = q*a - 102 + 30. Suppose 0*c + t = 3*c. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748352 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**4 + 10*u**3 + 5*u**2 - 10*u = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - u + 2248, 0 = 37*s - 40*s + 5*u + 2242. What are the prime factors of s?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21207 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*o**5 - 8*o**4 + 47*o**2 - 22613*o.\nAnswer: 280*o**3 - 96*o**2 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 4*u = -15*q + 8, -5*q = 3*u - 6. Solve -3*y + h - 7 = -2, 2*y - 4*h - 10 = q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 5, 51, 115, 197, 297?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - k**3 + 4*k**3 + (0*k - 2*k + 3*k)*(-6 + 3*k**2 + 6).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4704 + -1267. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 - 41268*r**2 + 109566684*r - 16006267820 = 0?\nAnswer: 155, 5081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -13237 - -22658. Let w = o + -6408. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i - 88. Calculate the greatest common factor of i and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*j - 30. Let f(r) = 2*r - 6. What is the remainder when 38 is divided by f(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g + 10*g + 0*g)*(2*g - g + g)*(2 - 3 + 3).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 2)\/(6\/60) + 392\/49. Which is the closest to 1? (a) -9\/5 (b) -0.4 (c) 1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/30 - 2*y**5\/5 + 3*y**4\/2 - 8*y**3\/3 + 12*y**2. Factor v(k).\nAnswer: 4*(k - 4)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 42*o**2 - 827*o + 413*o + 2 + 414*o as w*o + z*o**2 + m and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 514*h**2. Let i(z) = -30*z**2 + z + 14. Determine i(j(s)).\nAnswer: -7925880*s**4 + 514*s**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 977, 1942, 2891, 3818, 4717, 5582?\nAnswer: 6407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 415433713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252956479 - 29436501 = 22*t. Let u(o) = o**3 - o + 12700002. Let f be u(0). Suppose -4*v + t = -g, g - f = -5*v - g. Round v to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 5:23 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60749375\/524 + -115934. Find the common denominator of z and 67\/30.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -29900*i**3 - 6*i**2 - 2*i + 17. Is u(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*((-52)\/4)\/(-13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.0154\nAnswer: -0.00616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8178 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3 + 4*n**2 + 3*n - 8*n + 3 - 3*n**2. Let u be h(6). List the prime factors of u\/(-8)*(-87 + 5).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*w + 16, -w + 0*w + 2 = x. Which is greater: w or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 20*q**2 - 29*q - 58. List the prime factors of i(22).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -420, -629?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - r**3 - 5 - 5*r**3 - 164*r**2 + 71*r**2 + 93*r**2.\nAnswer: -6*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8855789177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439*g + 4*p = -434*g - 194, -164 = -5*g - p. Solve 14*f = g*f + 60 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.7844 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/80 - 5*x**4\/32 + 2*x**2. Let h(n) = 0. Calculate n.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 - x + 4*x**2 + 2)*(64 + 84 + 23) to the form m*x**2 + q*x + t and give m.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7999924s to nanoseconds.\nAnswer: 799992400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18*123\/164. Put i, 4, -3\/8 in descending order.\nAnswer: 4, i, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1799 + 5392. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218 a factor of 17963913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.973689ns in hours?\nAnswer: 0.0000000000036038025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5386792 is divided by 69061.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4002, 16007, 36016, 64029, 100046, 144067?\n\"Answer: 4002*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -311*g - 37*g - 138*g + (2 - 2 - 2*g)*(-3 - 1 + 3) + 2*g + g - 2*g.\nAnswer: -483*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 10:22 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, 519, -0.25, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -220, -511, -886, -1339, -1864, -2455, -3106?\n\"Answer: s**3 - 51*s**2 - 55*s + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 21853 + 27038 = 6859. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/180 - t**4\/72 + t**3\/9 - 11*t**2. Factor a(b).\nAnswer: -(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - 2*r**2 + 12*r**2 + (r**2 - 3*r**2 - 3*r**2)*(2 - 5 - 5) - 1 - r**2 + 1.\nAnswer: 53*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2586 * 4.\nAnswer: 10344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 26 = 8. What is the remainder when h\/15 - 318\/(-5) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94189 - -310308. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 w when four letters picked without replacement from tttwwtwwttt?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 6*o**2 + 5*o + 10. Let g be f(-4). Let v = 44 + g. Suppose 3*d + 0*q = -4*q - 2, 2*d = -v*q. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236513321119825.02000094 - 236513318226432. Let u = y - 2893395.52. Let m = -2.5 - u. Round m to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14032 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-9))\/((-9)\/(-81)). Suppose 0*q - x + 53 = q, 2*q - 4*x - 82 = 0. What is the common denominator of (-8)\/48*(-7)\/b and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 6. Let y = -10 + 14. Suppose 2*w + y = -6. Calculate b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 - 32)*(1 + 1 - 4)*(2*d - 3*d - 3*d).\nAnswer: -240*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 7:53 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 13. Solve 9 + u = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5868578215 to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535, 1075, 1621, 2173?\nAnswer: 2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**4*l - 2*k**3*l - 3792*k**2*l - k*l + 4565*k wrt k.\nAnswer: -36*k**2*l - 12*k*l - 7584*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26785 - -26864. Calculate the remainder when 938 is divided by b.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -31052\nAnswer: -1242.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 3 (c) -19586\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37630013 < 37630013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000622213 rounded to six decimal places?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -2\/9, 4\/3, -15572?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 26 = -3*f, 2*f - 25 = -f + 2*h. Suppose -5*k + 31 = -f. What is the tens digit of 2\/k - (-87)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4\/7 (c) 3712\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -29*a**2 - a - 1. Let m(s) = 34*s - 11*s - 5 + 6 - 8*s - 14*s. Give m(y) + p(y).\nAnswer: -29*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4\/7, 1482, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let o be (-3)\/5 - (-6)\/10. Let a be (o + -3 + 3)\/1. Which is bigger: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f**2 - f - 1. Let b(w) = 347*w**3 - 2*w**2 - 2*w - 2. What is -b(l) + 2*t(l)?\nAnswer: -349*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8202 + -5473. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - m + 1. Let u(x) = 5*x**3 - 5*x**2 + 24*x + 4. What is -4*p(i) + u(i)?\nAnswer: i**3 - i**2 + 28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/47)*((v\/(v\/(v\/(v*v\/((v\/((v\/(v\/v**(2\/7)))\/v))\/v)))))\/v*v)\/v)\/(v*v**(2\/17)*v\/(v*v\/v**(-14))) assuming v is positive.\nAnswer: v**(76284\/5593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3.2357 times -0.8\nAnswer: 2.58856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x*x\/((x**(-5\/6)*x)\/x*x)*x*x*x*x)\/x)*x*x\/x**(-1)*x*(x*x**0)**(-9\/7) assuming x is positive.\nAnswer: x**(-89\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/17 (b) 1.6 (c) 5 (d) 0.06 (e) -0.0163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, n: 2}. What is prob of picking 2 r?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 316 = -4*l, -29*v + 20*v + 53*l - 601 = -5*v for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 5*b**2\/2 + 1. Let y = -3135 - -3136. Let i(h) = h. What is y*f(o) - 6*i(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*l, 0*l = -5*t + 5*l - 15. Suppose 1745 = -122*u + 1623. Which is the third biggest value? (a) -3\/5 (b) u (c) 3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 239229 and 250344.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 101, -5, -7, -3 in descending order.\nAnswer: 101, -3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(2057) + 4)**2*-6 + ((sqrt(119) + -1*(sqrt(119) - sqrt(119)*3))\/(1*3*sqrt(7) + sqrt(7)))**2.\nAnswer: -198183\/16 - 396*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34504064?\nAnswer: 2, 7, 97, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 2779, 6302, 11193, 17428, 24983?\nAnswer: 33834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 11 + 5 + 101*x + 0 + 5 - 1 to s*x + p*x**2 + o*x**3 + q and give s.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -209, -375, -509, -599, -633, -599?\n\"Answer: 2*l**3 + 4*l**2 - 192*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(912)*-1)\/(sqrt(108)\/sqrt(9) - (sqrt(432) - sqrt(432)*-1)).\nAnswer: -2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -19142*i - 191424. Calculate s(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -15*f - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2183 and 1711?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35661729179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*q + 59*q - 2*b - 8, 4*b = -q - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159933456 divided by -72.\nAnswer: -2221298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7359*y - 703*y - 3165*y - 493988 = 0 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 5. Let v(x) = -3*x + 6*x - 2 - 2*x. Let g(l) = 2*d(l) - 5*v(l). Let p(r) = 3*r**2. Calculate p(g(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017169 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -260714.\nAnswer: 2\/130357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/7 (b) -0.5 (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.0521 + 0.0521. Which is the second biggest value? (a) -2\/7 (b) i (c) 262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 11. Let z = 13 - f. Solve -16 = -5*q + t + 12, 3*q - z*t = 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 3:59 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*n = 5*n + 1, 4*n = 2*u - 14. Suppose u = h, -2*h + 6*h - 8 = 4*g. Solve -4 + 1 - c - 5*c - g - 2*c**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, p: 2, u: 4, b: 1, j: 1}. Give prob of sequence jbu.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1. Let m(i) = i - 9. Let j(v) = -22*b(v) - 2*m(v). What are the prime factors of j(9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2608551?\nAnswer: 3, 11, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31\/124 - 10*190\/(-16) is divided by (35\/45 - 1) + 220\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 1001 + -996. Solve 2*a + 0 - 1 = n*t, -t = -a - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 260811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4089*v**3 - 2253*v**2 - 5920*v**2 + 4132*v**3 wrt v.\nAnswer: 49326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -375*d - 278. Determine a(-1).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 22*a = -27*a + 10, -4*s - 3*a + 29 = 0. Solve 3*y + 12 = 7*d - 4*d, -2*y - 5 = -s*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 + 62*v - 178*v + 58*v - 2 + 62*v to the form a*v**2 + p*v + k and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 288509 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.69 and -2024294216.\nAnswer: -2024294216.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29037, 58075, 87115, 116157, 145201?\n\"Answer: u**2 + 29035*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 42\/17225?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {z: 2, k: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -648026*q**2. Let a(m) = 46*m**2. Determine a(c(y)).\nAnswer: 19317134047096*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**8\/30240 + l**7\/3780 + l**6\/1080 - l**5\/20 - 2*l**2. Let y(o) be the third derivative of s(o). Factor y(d).\nAnswer: 2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4322 + -1717. Let z = -428 + j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/12 and -101\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21a7c90 - 5?\nAnswer: -21a7c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.219 times 15?\nAnswer: -3.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 936.2 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9132564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55233946*f**3 - 670804*f**2 - 14*f + 1.\nAnswer: -331403676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, j: 3, b: 2, s: 2, v: 1, y: 2}. What is prob of sequence sbs?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Let q be -24*(6\/(-4))\/c. What is the tens digit of 17\/(-102) - (-638)\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1268817 and 99?\nAnswer: 3806451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 12*p**2 + 11*p + 2. Calculate h(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6766069884?\nAnswer: 2, 3, 7, 80548451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103712990 and 3190?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-14) + 78\/154. Solve -6\/11*w**3 - 4\/11*w**2 + g + 6\/11*w = 0 for w.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 311 + -719. Let v = m + 407.9996466. Round v to five decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 33. Suppose 2*u + 4*r - 2*r = 78, 2*r + 230 = z*u. Let k = u + 14. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164629116?\nAnswer: 2, 3, 59, 77509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-249)\/(-125) + -2). Suppose -5*z = 2*v - 6*v + t, 109 = -4*z + 5*v. What is the common denominator of 3171\/(-2450) + 6\/z and 7\/22?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*a - 8, 2*c + 3 = -a + 5. Suppose -z - 4 + 15 = c. Suppose -z*p + 15*p - 4 = 0. Let o(d) = 16*d - 1. Determine o(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.42396km in centimeters?\nAnswer: 7342396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:47 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*z**2 - 3 + 3 - 20*z**2 to b*z**2 + g*z + c and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)\/((11 + -10)*2). Which is the closest to 0.1? (a) 4 (b) r (c) 3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55658*h**2 - 5*h - 27828*h**2 - 27826*h**2.\nAnswer: 4*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:02 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**13)\/b*b)\/b)\/(b\/(b\/((b*b*b**(-6)\/b)\/b*b))*b)*((b*b\/(b**(1\/7)\/b))\/b)\/b**(-16) assuming b is positive.\nAnswer: b**(244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*b - 98, -b = 4*x + 67 + 3. Let k = 5 - x. Calculate the remainder when k is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52547 or -52521?\nAnswer: -52547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/14 - 4\/14. Let b(k) = -k - 1. Let f be b(j). Suppose 0 = -f*h + 4 - 1. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -4 - 37 - (1 + -10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-9) - (-7165)\/15. Let c(g) = 2*g + 1. Let m be c(1). Suppose -k + m*k = 3*r + 176, -5*k = 2*r - o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 1. Let o be j(2). Suppose -o*x + 235 = -2*x. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49241828373558 - -1.5.\nAnswer: -49241828373556.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111525883 to the power of 1\/2, to the nearest integer?\nAnswer: 55781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1747 - 1682. Solve -12*s + 17 = x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 954 and 20.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/152 and 91\/850.\nAnswer: 64600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 11. Let g be j(5). Let l be 0\/(g + 3 + 0). Is l - 1 - (-87 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**2 - 2*x**2 + (2*x - 2*x - 2*x)*(-2 + 2 + x) - 12*x**2 + 15*x - 15*x.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1\/306, 2\/3, 1 in descending order.\nAnswer: 4, 1, 2\/3, 1\/306, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.43 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 29 = 157. Let m = b + -7. Suppose o + 10 = 4*n, -2*n + n - 6 = 4*o. Solve -m = -5*t, 0*c - 3*t = n*c - 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1 + -1) - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14*u**3 - 6*u**2 - 9*u - 8. Let z be v(-2). Which is the nearest to 3? (a) -5 (b) -3\/8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*b - 5*b - 24, 2 = -b - f. Let t(z) = z + 1. Calculate t(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a day in minutes?\nAnswer: 8352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*l**2 - 26 + 26 + 4113*l**3 - 380*l**2 + 189*l**2.\nAnswer: 4113*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwd when three letters picked without replacement from {d: 2, v: 8, w: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -97a (base 12) to base 14\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129407*k - 1034457*k - 209631*k.\nAnswer: -1114681*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/366 and -59\/6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h - 5. Let m(w) be the first derivative of -w**3\/3 + w**2\/2 + w - 823. What is 5*m(f) + y(f)?\nAnswer: -4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3660.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 11*m - 4. Suppose -8*p + 108 = 28. What is i(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.4 + -2.6. Let w = -6 - g. Let t = -25 - -101\/4. Which is the closest to 2\/5? (a) w (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 1. Suppose 50 = 67*p - 42 + 92. Put 2, -1, p, a in decreasing order.\nAnswer: a, 2, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.237592 rounded to 1 decimal place?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**2 + 253785*w - 17017062 = 0?\nAnswer: -84662, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r - 172. Let d be j(-46). Solve -14*x - 8 = -d*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.09 minus -9535738?\nAnswer: 9535752.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561204930.\nAnswer: 2, 3, 5, 11, 13, 130817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100201000 (base 5) to base 10\nAnswer: 397000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 534 and 22828144.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 159\/2*(-296)\/(-6). Suppose 3*b = 5018 + d. Suppose 0*z = -4*z + b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11683 and 55077.\nAnswer: 385539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 327164 - -120?\nAnswer: 327304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine thirds of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8121*u**2 + 39*u**3 - 17*u - 2 + 0 + 4 - 8120*u**2 to the form t*u + z*u**3 + l + m*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107 - (65 - 32)) + -42.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*z + 7, 5*r - 20 = -6*z + z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h + 32. Calculate the lowest common multiple of 10 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -623, -2573, -5845, -10433, -16331, -23533?\nAnswer: -32033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -361 - -201. Let h = 176 + x. Solve 0 = 4*t - 4*u - h, t + 3*t = -2*u + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5460 = -5*l, 0*l - 5505 = -5*z - 4*l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4845 and 1215.\nAnswer: 392445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*b**3*k**2*x + 2*b**3*k*x**2 + 2200550*b**2*k**3*x**2 + b*x + 12*k**3*x + 4582*k*x wrt x.\nAnswer: 4*b**3*k + 4401100*b**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -2*a**5\/5 - 53*a**4\/4 - 137*a**3 - 396*a**2 - 432*a - 144. Solve k(c) = 0 for c.\nAnswer: -12, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.32266 rounded to one dp?\nAnswer: -315.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9062165?\nAnswer: 5, 7, 258919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61811977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 864528 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: Put -1, 7, -5, 4, 2 in ascending order.\nAnswer: -5, -1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388137, -388136, -388135, -388134, -388133?\nAnswer: -388132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 263311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/15*20\/4. Suppose 153 = 2*o - 3*n, 0 = -o - 4*o - t*n + 435. What is the units digit of (-1)\/(-6) - (-2674)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 814*d**3*y**3*z + 4*d**2*y**3 + 4*d**2*y + 41*y**2*z wrt d?\nAnswer: 4884*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/10 of a millennium?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -540 - -540. What is the closest to 0.1 in -3\/4, 3, 6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 - p - 1. Let k be f(-1). Differentiate -2*j + k + 2*j + j**3 wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 845.85\nAnswer: 338.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/125 - -10891\/500. Suppose 0 = 6*x + 41 + 307. Calculate the common denominator of (4\/(-16))\/(6\/x) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.047 and 0.004.\nAnswer: 0.000188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/6 - (424\/(-24) + 18)\/((-5)\/(-105))?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 1298064968?\nAnswer: 1298064968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109559750 by -25250.\nAnswer: -4339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 4*z**2 + 0*z**2)*(-3 + 3 + 1)*(119 + 4*z - 1224 + 539).\nAnswer: -8*z**3 + 1132*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.35 + 0.65. Let r = v - 26.99999978. Round r to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 20*u**3 + 102956*u**2 + 2028784*u - 9763712 = 0.\nAnswer: -5128, -119\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.67 + -0.67. Which is the closest to -1? (a) 2 (b) 24 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:00 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and -294.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 7 - (0 - 31 - (2 - (-17 + 12))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 720 = -3*p. Let k = -75 + p. Does 13 divide k + (83 - 2\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 52*r**2 - 15*r - 11. Let c be i(9). Suppose -26*h + 1446 + c = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -136 + 53 + -80\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208676, -417416, -626156?\nAnswer: -834896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {y: 2, u: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -h - 27. Solve 3*u + 0 + h = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + ((-182)\/(-12))\/7. Let g = 100 - 123.8. Let b = 24 + g. What is the closest to -1 in r, -1\/7, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16226, 16236, 16226, 16196?\nAnswer: 16146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, -307, -1223, -2629, -4525, -6911?\nAnswer: -9787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1843.9 + 1844. What is the nearest to -8 in 2, -3, 2\/7, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, i: 3}. Give prob of sequence fifi.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/3))\/(b*(b*(b\/(b\/(b**(1\/2)\/b*b)))\/b)\/b)*b\/(b*b\/(b**(-2)*b)*b)*b*b**(-2\/5) assuming b is positive.\nAnswer: b**(-47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30935 is divided by 15466.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - (-16)\/(-30). Let y(j) = j**3 - j + 1. Let b be y(2). Let s = 8 - b. Is k less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 443 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 6. Let g(p) = p + 2. Let n be g(-2). Let x be z(n). Let d(r) = -r + 7. Is d(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 1\/6, 9, -0.9, -0.1, -13378?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/980*12\/30*-35)\/(4\/(-6)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -461.18 + 432. Let t = 0.18 + v. Let u = 46\/87 + 4\/29. Is t > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232165.\nAnswer: 5, 59, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 + 11581162*g\/13 + 11581164\/13.\nAnswer: -2*(g - 5790582)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 150*d**2 + 8*d - 95. Let h be w(75). Calculate the greatest common divisor of 15 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2. Let f(d) = 13*d**2 + 5*d. Let l(p) = 20*p**2 + 8*p. Let g(q) = -8*f(q) + 5*l(q). Calculate g(b(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**5 + 4700*z**4 - 243660*z**3 + 1710820*z**2 - 2709440*z + 1237584 = 0.\nAnswer: 1, 6, 46, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18318826*n + 18318826*n + 54*n**3.\nAnswer: 54*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 18, 28, 38?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.8, 0.02, 3, 2\/99 in ascending order.\nAnswer: -1, -0.8, 0.02, 2\/99, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:14 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13213454 (base 6) in base 8?\nAnswer: -1526512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7910455 divided by -1130065\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**5 - 8164*t**3 + 8159*t**3 - 258 - 3*t**2 - 3*t**5 wrt t.\nAnswer: 60*t**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 4, 3, -1, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 - -126. Suppose 79 = -0*o + 3*o + 2*g, 0 = -p*o + g + 149. Find the first derivative of -61 + 9*y**2 + o - 3*y**2 + 2*y wrt y.\nAnswer: 12*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11861, -23714, -35563, -47408?\nAnswer: -59249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2517534, 2517555, 2517606, 2517699, 2517846?\nAnswer: 2518059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 13. What is the third derivative of -9*v**l - 7*v**2 + 2*v**3 + 20*v**2 wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2525*j + 5253*j + 339*j + 5640*j.\nAnswer: 13757*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176)\/sqrt(8))\/sqrt(2) + -4)*2)**2.\nAnswer: -32*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)*v**19\/v*v*v assuming v is positive.\nAnswer: v**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -59*m**2 + 3*m + 2. Let o be k(-1). Let y = o - -42. Let t be (-23009998)\/13 + y\/117. Round t to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from astaaacamtazaamcs.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2395225ng in kilograms?\nAnswer: 0.0000000000002395225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 2*j**3\/3 - 5*j**2\/2 - 205*j. What is r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 200602*m*z - 160274*z wrt m.\nAnswer: 200602*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -58 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126269*k**2*m**2 - 683*k*m**2 - 52 wrt k.\nAnswer: 252538*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eefrfrfseefxrvf. Give prob of picking 3 f.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 74 - 32*j + 10*j - 59*j.\nAnswer: -81*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 16*p**2 + 57*p + 4. Let f be q(19). Suppose 3*x = c + 209, -f*x + 222 = 5*c - 44. Is x a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/4 - 4*r**3\/3 - r**2\/2 - 2*r + 442. Let z(m) = -m**3 + 5*m**2 + m + 2. Calculate 5*q(c) + 4*z(c).\nAnswer: c**3 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*g**2*r**2*s**2 - 21*g**2*s**2 - 3*g*r**2*s**2 + g*r*s + 2993*r*s**2 wrt g?\nAnswer: -56*r**2*s**2 - 42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 671610*g - 2686436.\nAnswer: -(g - 2686436)*(g - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 1 + -1 - 1. Suppose -3 + 121 = r*x. Let b = -28 + 48. What is the remainder when x is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 + 1)*(a + 1 - 1) + a + 0*a + a + 3 + 2*a - 3 + 2*a - 4*a + 0*a)*(4 - 1 - 6)*(-8 + 15 - 9) to the form g + c*a and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454 a factor of 71146368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -211119 and -1\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s - 2. Suppose -5*r + 36 = 26. Suppose -r*x - l + 16 = l, -28 = -3*x - 5*l. Let m(v) = v. Determine x*m(f) + h(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001 - 0?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2537 divided by 80761.\nAnswer: -2537\/80761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 977 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*n + 2. Let d = n + -2. Let w(b) = b**2 + 5*b + 2. Calculate w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 7*b - 5. Let m be c(8). Suppose -k + 234 = -2*d, -m*d + 434 = 3*k - 286. Let r = -148 + k. Is r a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/161981 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 16 = -3*q, 2 - 1 = v. Suppose 17*f - 481 = -20*f. Let u = q + f. What is the greatest common divisor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(8\/2 + -6). Find j such that -104*j**n - 26*j + 96*j**2 - 13*j**5 - 6 + 56*j**4 + j**5 - 18*j + 14 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14457 (base 9) to base 3\nAnswer: -111111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = l - 0*k + 3, 4*l = -5*k - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/846768 and 1\/7620912?\nAnswer: 7620912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3084*y. Let x(d) = 2*d - 1. Let n(q) = -15*q + 8. Let s(p) = n(p) + 8*x(p). What is w(s(u))?\nAnswer: 3084*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - r**2 - 8*r + 13. Suppose 0 = -j - 2*q + 9, 3*q - 4*q = 3*j - 7. Let x be (-9 + 1)*(0 + j). Is p(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 438320810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127727 = 5974*m + 356167 for m.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 - 7*w - 4. Let k = -361 - -359. Let j(r) = r**2 + 2*r + 1. Determine k*a(n) - 7*j(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 575.6874 and 6486.2836?\nAnswer: 5910.5962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2610071*f**2*m - 12945*f*m + 81*m wrt f.\nAnswer: -5220142*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*u**2 - 146 + 146.\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 6) to base 16.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/8 (b) 2\/9 (c) -1\/5 (d) -3\/166\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 + 156. What are the prime factors of (4 + -3)*c + -4?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.4, 0.22, 1.1, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 26. Let m(q) = 5*q - 42. Let v be m(10). Let t(c) = 19 - 22 + v. What is -2*o(b) - 11*t(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 46 = -3*w. Let a(o) = -o**3 + 33*o**2 - 98*o + 149. Let m be a(30). Let t = w - m. Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbqbbbbqbqbb. What is prob of picking 3 q and 1 b?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9572.98 + -9573. What is the closest to -14 in k, -0.6, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 102 = 2*j. Suppose -2*v + 100 - j = 2*m, -4*v - 148 = -4*m. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109388229 <= 109388229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 3*v - 243. What is m(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21383286 divided by 7127762.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 767*b + 11 - 5 - 1 - 1297*b in the form x*b + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1. Let i(f) = -7*f - 1. Let z(t) = -8*t - 1. Let u(g) = -6*i(g) + 5*z(g). Determine -4*j(c) - u(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (26 - 15) - (-8 - -30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z + 3. Let a(q) = -7*q - 5. Let c(g) = -4*a(g) - 3*j(g). Suppose 6*b - b = 15, 5*s - b = -43. Let f be c(s). Solve f*x - 4 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88711 - 2?\nAnswer: 8870c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**48*(m\/m**(2\/17))\/m**7*(m*m**3*m*m*m**8*m)\/((m*m**3)\/m**(-7)) assuming m is positive.\nAnswer: m**(-1668\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 541.1136 to 0 decimal places.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 14*b + 4. Let j be (-2)\/((-12)\/14 - -1). Calculate the lowest common multiple of k(j) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + f + 1. Let i be g(-2). Suppose -i*d = 5 - 26. Solve d = -v + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 6*a**2 + 10*a - 5. Let f(k) = -2*k - 3. Let n be f(-5). List the prime factors of x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11974 - 11926. What is the remainder when 409 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4419542?\nAnswer: 2, 23, 29, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/4 - 3*q**3 + q**2 + 12*q + 16. Let v be w(9). What is the greatest common factor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2127\/7 or -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.6, -3, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1720?\nAnswer: -1\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 22. Let c be n(15). Suppose 0 = -285*b + 283*b + 70. Calculate the greatest common divisor of c and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 761 in 1\/2, -0.4, -1.3, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w + 51*w = 11652. What are the prime factors of w?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m + 27. Let j be (-6)\/m - 2\/6. Let w = 0.16 + -1.16. Is j != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 224873, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522 divided by -6.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11))**(1\/9) assuming t is positive.\nAnswer: t**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 + -28 + 32.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101 + -11?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1495476.527 rounded to the nearest 1000?\nAnswer: -1495000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.076, -0.16102, -1.\nAnswer: -1, -0.16102, -0.076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03915 rounded to 3 dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10712477 is divided by 1417.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*c = 8051195, 0 = -8*c + 6*c - 2. Round y to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3872 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 16. Suppose -33 = -4*o + o. Let l = i + o. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Suppose -1 = -i - 5*o - r, -4*o + 79 = 5*i. Let u = 28 + -9. Calculate the highest common divisor of u and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-1 + 2 - 8). What is the common denominator of -83\/6 and ((-61)\/g)\/(0 + -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:07 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5498342446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 4*b - 8 - 5*b - 4*b to the form t*b + u and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.5089556 to 3 dps.\nAnswer: -9.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 8*d**2 - 7*d + 3. Suppose -a = 3*a + 3*l - 36, 0 = -5*l. Suppose 3*n - v = -26, -5*v + 60 = 4*n - a*n. Let z be h(n). Solve -m = 6 - z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12567, 25193, 37819, 50445?\nAnswer: 63071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzh. What is prob of sequence zyz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-6)*4*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23235, -23236, -23237, -23238, -23239, -23240?\nAnswer: -23241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*(1 + 1). Let l(q) = -z + 2*q - 1 + 1 - 1. Let u be 4\/((-12)\/18*-6) - 2. Let o(m) = -m. Determine u*l(a) - 3*o(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5550327449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fydd when four letters picked without replacement from {d: 2, y: 1, f: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 83, 100, 93, 56, -17, -132, -295?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by 2.\nAnswer: 133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:14 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let f(z) = 70*z**2 - 3*z - 81. Let m be (2\/(-6))\/(4\/12). Let a(n) = m*f(n) - 3*g(n). Differentiate a(b) with respect to b.\nAnswer: -140*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1859*p**4 - 3*p**3 + 36671*p**2 - 63483964*p - 1.\nAnswer: 22308*p**2 - 18*p + 73342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (4 - -8) + -9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 9*q - 5. Let g be s(9). Is g bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 11.546, -3, 290.\nAnswer: -5, -3, 1, 11.546, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 343929*m**2. Let y(d) = -d**2. What is y(w(n))?\nAnswer: -118287157041*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002334277 to five dps.\nAnswer: -0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2105 divided by -421\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22823729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/20)\/(-3))\/(18\/(-20))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 9*u**2 + 8*u + 5. Let k = 30 + -27. Suppose 3*o - 35 = -4*c, -k*c + 3*o = 2*o - 23. Determine s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13158306*t + 24458507 wrt t.\nAnswer: 13158306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 98, 2, 20.\nAnswer: 1, 2, 20, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**3 - u + 2. Let a be i(-2). Let x = a - -41. Let b = 26 - 7. What is the remainder when b is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + f**2 - 21*f**2 + 2*f**3.\nAnswer: 2*f**3 - 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 - -109. Suppose t - 4 = -3*d, d + 4 = a*t - t. Solve -g - 1 = d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -146251 at least -146333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1112202 (base 3) to base 4\nAnswer: -101213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2949 - 1970. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130855 + -89450. Does 245 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 5*v + 18, 2 = 5*d - 3*v + 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3*k + 19. Let h be w(-10). Suppose -u = h - 207. What is the highest common factor of u and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) 2\/435 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 4.11. Let f = -13 - -6. Let t = -3 - f. Which is the smallest value? (a) t (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/((-26)\/65). Solve -2*m + u*s = -11, 3*m + 5*s + 14 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*u + 387*u + 1317*u = 116580 for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 985.\nAnswer: 8865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9534.949kg?\nAnswer: 9534949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -26. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(-1\/4)*r)\/r)**(10\/3))**(-2\/111) assuming r is positive.\nAnswer: r**(-35\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -31. Suppose g + 0*i - i + 6 = 0, -3*i + 16 = -2*g. Let s be g*(-2)\/8*-6. Sort 1, s, u in increasing order.\nAnswer: s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 5 - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2424.2364+0.45\nAnswer: -2423.7864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 265 = 67. Suppose 94*s = h*s - 11045. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 - 16 = 24*w - 95 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10572933.19 to the nearest ten thousand.\nAnswer: -10570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19610 and 2590.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 51.1 and 97475936.\nAnswer: 97475987.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6750 or 2\/3341?\nAnswer: 6750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 131, 300, 555, 908, 1371, 1956?\nAnswer: 2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {a: 9, n: 2, e: 7, t: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*t - 39*t + 2168 + 25*t + 2268 - 1172*t**4 - 487*t**4 wrt t.\nAnswer: -6636*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 5*g. Let u be j(5). Suppose i + 0*i + 3 = u. What is the units digit of (-9)\/(i\/6 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 3*h**2 + 2*h - 4. Let v be r(3). Let a(u) = 36*u**3 + u**2 + 1. Is a(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(900\/(-24)) - 736\/6. Let r = c + 249. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 + 132. Let v be 24\/8 + g\/(-1 + 0). Let w be (4\/(-10))\/(2\/(-80)). Solve -l = -v*m + 3*m + w, -5*m = 5*l + 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y + 2. Let q = 8 - 10. Let h = y - q. Solve h*l - l = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6462 = 298*u + 211*u - 121*u - 2194 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.94 - -2.14. Let k = x + 24.4. Let l = -3.5 + 3. Sort k, l, 1\/6.\nAnswer: l, k, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11698272 = -49401728. Round m to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 8127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 11*r**2 - 8*r - 5. Calculate s(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926956281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 26520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095458729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6513563 and -3.\nAnswer: -6513566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 39 - 4. Suppose v*q - 89 = 86. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (9\/3 + 0). Solve 5*t = u*b - 12 + 2, -3 = -b + 2*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42)\/((-10)\/14).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 417*m**4 + 289*m**2 - 8*m. Let v(a) = -419*a**4 - 288*a**2 + 6*a. Let o(p) = -4*v(p) - 3*w(p). Find the third derivative of o(n) wrt n.\nAnswer: 10200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1474307 litres?\nAnswer: 147.4307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219 = -55*w - 18*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**4)\/j)\/(j**(-1\/8)\/j))\/(j*j**6*j**(-2\/9))*(j**(2\/7)\/(j*j**(5\/7)))**(-10) assuming j is positive.\nAnswer: j**(2839\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 960171398.\nAnswer: 8641542582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 174808305 divided by -2774735?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u\/(u*u**(1\/4)*u)*u*u))*u**(-4))\/((u\/(u*u**(7\/3)))\/(u\/(u\/(u*u\/(u\/(u\/u**(-2\/5)))*u*u)))))**(2\/123) assuming u is positive.\nAnswer: u**(269\/3690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3748)\/(-8) + 1)\/((-15)\/(-10)). Let x = n - 123. Calculate the remainder when x is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/306)\/(-6)*(-2)\/2?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2875983654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5743, 21549, 47915, 84841?\n\"Answer: 5280*q**2 - 34*q + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2*l\/(((l*l**(-5))\/l)\/l)*l*l**(-2\/3)*l**(-4) assuming l is positive.\nAnswer: l**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 7000 = 27470. Suppose 0 = 5*h + 4*s - 5735, -5*h + v = s + s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3)*2250\/32700*109.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 2*j**2 + 2. Let c be a(2). Suppose -c*k - 4*b + 8 = 0, -4*k + 0*b + 28 = 5*b. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(847) + -1 - (sqrt(847) + 1)*1) + (sqrt(3500)*1)\/(sqrt(45)*1).\nAnswer: 2 + 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 49, 70, 91?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(9)\/(sqrt(24)\/sqrt(8)) - sqrt(33)\/(sqrt(1980)\/sqrt(5)).\nAnswer: 5*sqrt(3)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-10) - -513*(-3)\/6. Let o = l - -505. Let p = -150 + o. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1 + 2*i**2 + 0*i**2 - 6*i - 4*i**2. Let o(b) = b**2 - 5*b - 4. Let v be o(6). Suppose v*r + 10 - 2 = 0. Determine x(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, -4\/5, -0.13, -4 in descending order.\nAnswer: -0.13, -0.22, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/2 - 2*n**2 - 35*n\/2 + 75 = 0.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 - 27*v**2 + 98*v - 8. What is the units digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.41 + 0.21. Let q = c + 1.62. What is q rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = j + 2055. Let c = j + -284. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auuuuuauuu. What is prob of sequence uuuu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -349*s**4 + 1225*s - 1 wrt s.\nAnswer: -4188*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 1:31 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 43.58, -0.69, -4, 2\/9?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110243.4 hours to minutes.\nAnswer: 6614604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85) - sqrt(85))\/sqrt(5) - ((sqrt(136) + sqrt(136)*3)\/sqrt(8))**2.\nAnswer: -272 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 8*c**2 + 0*c**2 + 4*c**2.\nAnswer: -4*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddudddduu. What is prob of picking 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*g - 6*g + 32 = 0, 5*g + 18 = t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6466 and -32\/477.\nAnswer: 58194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 1. Let w(i) = -i**2 + i - 4. Let r(o) = o**2 - 19*o - 18. Let p be r(-1). What is p*g(y) - w(y)?\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 9*x**2 + 6*x - 17. What is the tens digit of m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 4. Let j be c(-5). Suppose -70 + 70 = -2*h. Let p be (h\/(-1))\/(6\/j*4). Solve -3*v = -p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + 24*c - 9*c**2 - 24*c with respect to c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**3 - z**2 - z - 1. Let c be f(-1). Suppose 0 = c*w - 25 - 11. Solve -6*u = -2*u - 3*x - 15, 2*u = 3*x + w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 19, 29, 43, 61, 83?\n\"Answer: 2*p**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6*j - h + 17, 4*j - 24 = -2*h. Suppose 2*g - 3*x - 171 = 0, -3*g = -j*g + 2*x + 170. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 5*f - 14*f - 7 - 3 to the form y + r*f and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in 3, 0.1, -3\/2, -2\/65, 1\/7, 85?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (272*w**3 - 2361 + 2361)*(2 + 2 - 2) as z*w + i*w**3 + b*w**2 + q and give i.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8844 and 48.\nAnswer: 35376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 + 2*z**2 + z. Let v be m(-1). Suppose -v*b = b - 45. Calculate the remainder when 17 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**5 + 37263*i**4 - 37278*i**3 - 149052*i**2 + 149064*i = 0.\nAnswer: -12422, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -239 + 256 - (-189)\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(1\/2)*n**(-4\/7))**(-1\/23) assuming n is positive.\nAnswer: n**(-27\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 7*f**2 - 3*f - 2. What is i(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d. Let a(h) = -2*h - 52. Give q(a(j)).\nAnswer: 24*j + 624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-83)\/5 - 4\/10. Let u(y) = 359*y + 15. Let w(s) = 862*s + 38. Let x(t) = 12*u(t) - 5*w(t). Let o(b) = 6*b + 29. Give m*x(k) - 6*o(k).\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3773556 and 1332?\nAnswer: 3773556","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s**2 - s**2)*(-s**2 + s**2 - s**3 - 3*s**2).\nAnswer: 2*s**5 + 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j + 300. Let q be ((-1)\/(-2))\/(3\/j). Suppose 2*x - 6 = q. Calculate the highest common factor of 56 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpk. Give prob of sequence dpk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -264*-0.007\nAnswer: 1.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6522*f*p**5 + f*p**2 - 103*p**5 - 204*p**2 - 8278 wrt p?\nAnswer: 391320*f*p**2 - 6180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 325489963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/3 - q**4 + 2*q**3 + 26*q**2\/3 + 9*q + 3.\nAnswer: -(q - 3)*(q + 1)**3*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452607357.\nAnswer: 3, 150869119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1031276 and -123\/40.\nAnswer: 10312760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -837.3703253238 from -27.\nAnswer: 810.3703253238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/5 - 2693*t**2\/5 + 1745283*t\/5 + 92102409\/5 = 0.\nAnswer: -49, 1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 17*f**2 - 22*f - 9. What are the prime factors of h(-18)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (109 - 1)\/(18\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 - (-5 - (5 - (2 + 1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhgug. What is prob of sequence uh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*-2*(sqrt(2592) + 0))**2 - (1 + (sqrt(2592) + sqrt(2592)*5)*1)).\nAnswer: -216*sqrt(2) + 93314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-12)*k*k*(k*k**(11\/4)\/k)\/k*(k*k**(-7\/2)*k*k)\/(k*k*k**7\/k))**(-3\/41) assuming k is positive.\nAnswer: k**(189\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10855392 greater than 10855392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 215845 (base 11) to base 13\nAnswer: c09c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*-3)\/sqrt(10) + sqrt(33))\/(sqrt(11) - sqrt(11)*5*3).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-880)\/11 - 41\/((-328)\/160)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3136)\/35)\/(-8) - 1\/5. Calculate the greatest common divisor of x and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200 + 201. What is the biggest value in 0.4, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2537, 2538, 2539?\n\"Answer: v + 2536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 2 - 2 + (0*o**2 + 0*o**2 + o**2)*(-2 + 1 + 0) - o**2 + 2*o**2 + o**2 + (-2*o + 0*o + 5*o)*(-3*o + 4*o + 0*o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**2 + 35*l + 7. Let k(x) = 7*x**2 + 30*x + 6. Let z(n) = -7*k(n) + 6*y(n). Let d(g) = 1218*g**2. Determine z(d(w)).\nAnswer: -1483524*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 47716841 divided by 8329\nAnswer: 5729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11208 is divided by 1343?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*f - 142*f - 5*o = -150, 3*f + 28 = -o for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-5 - (-143)\/22). Let a(r) be the first derivative of 1\/3*r**3 + 0*r**2 + 11 + p*r. Give a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/8*(-20)\/(-6). Solve -3*p - g + 2*g = -10, -p = -2*g - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/76 and -53\/402.\nAnswer: 15276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -1.8416.\nAnswer: -0.128912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.22741 months to centuries.\nAnswer: 0.226856175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:42 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 10484*m**2 - 5244*m**2 - 5243*m**2 - 88 + 3*m**3 as c*m**2 + k + v*m**3 + n*m and give k.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, -51, 10, 6 in increasing order.\nAnswer: -51, 1, 6, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 43 - 7 = 0. Let s be 4\/(-6) - 222\/n. Suppose 0*r = -3*r + s. Solve -g = 3*g + r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-40) - -66*(-36)\/6336?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 8 + 7 + 3*n)*((0 + 4 - 2)*(-4*n + 4*n - 2*n) + 14*n - 51*n - 66*n) to b + g*n**2 + k*n and give g.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*m - 32 + 41, 10*b - 7*m = 6*b - 6*m - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 297540859.\nAnswer: 29754085.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 6176*z\/3 - 6178\/3.\nAnswer: 2*(z - 1)*(z + 3089)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 - p - 2. Let b be c(-2). Let x be 27\/b - 1\/4. Suppose 0*f - x*f + 2 = 0. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -0.5, -2\/17, -0.1, -47261, -5, -0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1126 and 53664034.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(((r\/(r\/r**(-1\/3)))\/r*r)\/r))**(-7\/3))**(-39) assuming r is positive.\nAnswer: r**(910\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -7*o + 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -67. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404 and 21603698.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.3 (c) 3 (d) -9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -169. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515 and 1751?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -530*z**2 - z + 1. Suppose -v = v - 2. Let c be j(v). Let w be (-4)\/12 - c\/6. What is the highest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 685 and 411.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395799398?\nAnswer: 2, 197, 1004567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 + 711*d - 2124 = 0. What is d?\nAnswer: 3, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(275)))**2 - (0 + 1 + sqrt(275))**2.\nAnswer: 350*sqrt(11) + 9660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:30 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 9. Let j = 2.97 + 0.03. Which is the biggest value? (a) j (b) m (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/22 - 160\/396. Is f less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18*(4 - (-39)\/(-9)). Let x(r) = -4*r**2 - 7*r + 1. Let s(z) = z**2 + 2*z. Let i(l) = p*x(l) + 21*s(l). What is the derivative of i(o) wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7384 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-156)*(-4)\/12*8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*u**2 + 16*u + 20*u - 36*u.\nAnswer: -74*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.32 - 0.08. Let o = g + 1. What is the third smallest value in 2\/11, -0.5, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*o - 3*c - 27, -2*c = -5*o + 22 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113447*u**3 + 35*u - 35*u + 112759*u**3.\nAnswer: -688*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438190 divided by -5?\nAnswer: -1287638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-64) + (-38 - -41) and 99\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-3) + (8 - 4). Let o = -183 + 1645\/9. Sort v, -0.04, o in ascending order.\nAnswer: v, o, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 - 2*r - 1. Let a(s) = -s**2 + 5*s - 6. Let u be a(4). Is t(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -3. Suppose -5*p + 3*j = -y, p - 4*j = -6*j + 11. Solve 25 = q - 4*u, 4*q - p*u = 3*q + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpm when three letters picked without replacement from {m: 5, f: 7, b: 2, p: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (952 - 413 - 337)*(-22 + 8 - w + 9).\nAnswer: -202*w - 1010","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2210?\nAnswer: -1\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 925 + 924 + w**2 + 0*w. Let z(f) = -21*f**2 + 28*f + 28. Let g(c) = 28*o(c) + z(c). Let n(q) = 8*q**2. Determine n(g(i)).\nAnswer: 392*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/3*-1*6\/20.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163602*h**5 + 2*h**4*j**2 - 7029*h**2*j**2 - 223*j**2 wrt h.\nAnswer: -9816120*h**2 + 48*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/((9\/(-2) - 0)*(-3982)\/23892)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30000*j**2 - 8808600*j + 646595283.\nAnswer: 3*(100*j - 14681)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 152*w**2 - 2*w + 6*w**3 + 142*w**2)*((-3*w + 4*w + 0*w)*(-3*w + 1 - 1) - w**2 - 2*w + 2*w).\nAnswer: -36*w**5 + 40*w**4 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - -8) + -26?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142.5 - 126. Let j = u + -4.4. Round j to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4749983 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127\/3 + 43. Let w(t) be the first derivative of i*t**3 - 4 - 4*t**2 + 6*t. Factor w(r).\nAnswer: 2*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261518740 divided by 1348\nAnswer: -194005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3281 + 3285. Sort 26, m, -12, 1.\nAnswer: -12, 1, m, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 7 - 28. Suppose -1 - q = -2*o. Find the second derivative of 0*u - 2*u**o - 2*u + u wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9 + (-75)\/(151875\/8730).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*y - 4*y = 15, -3*a + y + 13 = 0. What is the highest common factor of 100 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0 + 6. Suppose 2*p + 3 = 4*v - 9, -k*p + 33 = 5*v. Solve -t - 10 + v = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p**4 - 1068*p**3 - 3346*p**2 - 1992*p + 248 = 0.\nAnswer: -2, -1, 2\/19, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/22, -0.5, -0.132, -0.074 in decreasing order.\nAnswer: -1\/22, -0.074, -0.132, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 23*k**3 + 3*k - 2. Let p(s) = 137*s**3 + 17*s - 11. Determine -6*p(l) + 34*q(l).\nAnswer: -40*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 2. Let a(n) = -6*n + 11. Let t(v) = 6*a(v) + 34*s(v). Let d be t(-4). What is the common denominator of (-2)\/d + (-163)\/(-21) and -36\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -33.5. Let i = v - -1.65. Let q = -0.15 - i. Which is the closest to 0? (a) 0.4 (b) 1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 726*v - 74893. Determine r(-91).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g**3 - 3*g**2 + 13*g. Let h(d) = -12*d**3 - 4*d**2 + 14*d. Let y(n) = 3*h(n) - 4*u(n). Find the second derivative of y(k) wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70463814 by 277.\nAnswer: 254382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300 (base 4) to base 14.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3, 0 = -5*v - 4*f + 1 + 5. Solve v = r - 2*w + 9, 3*r + 3*w = 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 124 + r**3 + 3*r**2 - 7*r**3 - 31 + 3*r**3 to the form b*r + j + f*r**2 + p*r**3 and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77455735 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:40 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + ((-188)\/(-38) - 4). Let i = -1.159 - -0.159. Sort l, -0.1, i, -0.5 in ascending order.\nAnswer: i, -0.5, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**5 + 321*m**4 - 945*m**3 + 939*m**2 - 312*m = 0?\nAnswer: 0, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, t: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*d - 544, 435 - 10 = -4*n + 5*d. Let p = n + 196. List the prime factors of p.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 23*g + 12*g + 11*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -0.039272132.\nAnswer: 4.039272132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 7*m**3 + 5*m**3.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 14*u**2 + 29*u - 3. Give m(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 394686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1008) - (sqrt(1008)*2 - sqrt(1008))) + 1 + sqrt(1008))**2 - (5 + (sqrt(1008) + 1 - sqrt(1008)) + -4).\nAnswer: 72*sqrt(7) + 1015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-256)\/(-18) + (-68)\/306 and 5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 17. Let b = 18 + t. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1236201203 to the nearest integer?\nAnswer: 35160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -35. Let p = -127\/5 + m. What is the nearest to p in -1, -3, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 - 4*d - 1. Let o be b(-2). Suppose c + 0*c = 3*h + 2, -4 = -2*h + 2*c. Let q = 1 - h. Is q bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12498\/5 + -2499. Put 7, -4\/7, 9\/7, d in decreasing order.\nAnswer: 7, 9\/7, d, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 5\/24*f**4 + 0*f + 1\/3*f**3 + 0 + 1\/15*f**5 + 1\/120*f**6 + 12*f**2. Suppose n(a) = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4321102 (base 5) to base 15.\nAnswer: 16aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 91*d**2 + 2062*d - 97. Let l be a(-43). Let p(j) = -39 - 2*j + 0*j - j. Calculate p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:06 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 23*v - 857. Let i be q(-20). Solve -2*y - 8 - 17 = 5*h, i*h + 15 = 2*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58*-17673\nAnswer: 1025034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 46*r**2 - 45*r. Let g be z(-45). Solve -2*x + g = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963670415.\nAnswer: 5, 17, 11337299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.6, -2, 0.5, 56\/9, 8, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458596.2mg to micrograms.\nAnswer: 458596200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 91. Suppose 4*g + 1 = -5*d + 3, 2*d + 2*g = a. Let c(t) = 7*t - 842 + 837 - 4*t**d + 2*t**2. What is c(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*r + 260*r = 513*r - 54 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 6*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210507 is divided by 1786.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(129\/(-6) + 3). Let u = 42 + n. Solve 4*z = u*b, 18 = -0*b - 2*b - 2*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*o + 60288 + 28626 = 0. What is the smallest common multiple of o and 292?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:13 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*x + 173, -4*x + 79 = -3*t - 78. Which is the smallest value? (a) -19 (b) 4 (c) 3 (d) 5 (e) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 10 = 3*o. Let k = o - -5. Let g(h) = -3*h**2 - 5*h - 1. Let a(j) = -2*j**2 - 3*j - 1. Determine k*g(t) - 5*a(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = c + 4*c - 155, c + 4*d = 48. Let p(m) = 8*m + 36. Let s be p(13). Calculate the highest common divisor of c and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -19, -1\/5, 2\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -621, -1, 1, -5?\nAnswer: -621","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1271 (base 9) to base 11\nAnswer: -799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/4))**30*(r**1)**(3\/10) assuming r is positive.\nAnswer: r**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25 + -2963907427.\nAnswer: -2963907426.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 62. Let p(r) = -3*r**2 + 747784*r - 747784*r + 2*r**2. Give p(u(d)).\nAnswer: -d**4 + 124*d**2 - 3844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 898, 2025, 3584, 5563, 7950, 10733?\nAnswer: 13900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = -4. Let v = 0.42 - -0.68. Let b = v + -1.3. Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701, -962, -1223, -1484?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + b**2 + 5*b + 70. What is the units digit of i(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let x(n) = -148*n - 2. Give x(w(u)).\nAnswer: 296*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 11*v = -3956. Let m = v - -174. Which is greater: 9 or m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -299*w. Let o(v) be the third derivative of v**4\/8 - 15*v**2 + 18. What is j(o(n))?\nAnswer: -897*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.073508t in nanograms?\nAnswer: 3073508000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 129047 and -11\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63, -144, -279, -468?\n\"Answer: -27*j**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - 2.7. Let o = 23.2 + -17. Let u = -1.2 + o. Which is the closest to 0? (a) u (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:06 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -107 + (83 - (32 + -31))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 12. Suppose -3*w + a*j = -30, -j - 29 - 21 = -5*w. Calculate the remainder when 4*(-1)\/((-8)\/58) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/9, 2\/17, -151?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17653.88887 to the nearest 10.\nAnswer: 17650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-40)*(-40)\/(-32)*(-16)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2645796 - -1765796. Round u to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, 0.05, -4, 10, 0, -3 in decreasing order.\nAnswer: 10, 0.05, 0, -3, -3.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1921 divided by 938?\nAnswer: -1921\/938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1021\/70810 + 3\/730. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 78, 2\/9, 1\/5.\nAnswer: -1, 1\/5, 2\/9, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/(b*b**(5\/2)))\/(((b**7\/b)\/b)\/b*b*b*(b*b*(b**(4\/3)*b)\/b)\/b))\/(((b*b**0)\/b)**24*b**(-5\/6)\/b*b**(1\/2)) assuming b is positive.\nAnswer: b**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52\/7 + 229\/28. What is the biggest value in g, -0.3, 3, 0.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose 21 = -3*u, -3*u = -6*m - u + 2. Sort k, 0, -5, m in descending order.\nAnswer: k, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/25 + 3\/15. Put -3, v, 0 in decreasing order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5399 * 0.0665\nAnswer: -359.0335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Let d(r) = r**3 - 6*r**2 + 6*r - 3. Let p be d(s). Suppose -p*w = -h, 1 - 5 = 2*h. Put w, -2, -3 in descending order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (1 - -2))*(-2)\/(-4). Suppose z = -31*j + 37*j - 48. Suppose -5*a + j = -12. Calculate the least common multiple of 5 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1. Let f(z) = -z**3 - 4*z**2 - 2*z - 5. Let o be f(-4). Let w(a) = o*a + 2*a - 6*a + 4. Give 6*r(x) - 2*w(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3782730 divided by 10\nAnswer: 378273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7780528*g - 25 + 7780528*g + 273 + 5*g**2 + 41)*(0*g**2 + g**2 - 2*g**2).\nAnswer: -5*g**4 - 289*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/17)\/c)\/(c**9\/c)*(c\/(c**(-6)\/c)*c)\/(c*c**(-3\/4)*c) assuming c is positive.\nAnswer: c**(-77\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.1 (c) -11 (d) -2\/147 (e) 5 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/4, 3, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107071*n**2 + 211506*n**2 - 106313*n**2.\nAnswer: -1878*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1350450 divided by -2\nAnswer: 675225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 637 and 45717.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/192 and 23\/102?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l = -5817 - 12467. Let s = l + 656. Solve -2*b = r - 12, s*b - 1 = -2*r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11145\/2 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -577 and 1.\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**4 - 4*h**3 + 44*h**2 + 2*h. Let u(s) = -17*s**4 + 9*s**3 - 88*s**2 - 5*s. Let v(i) = -5*d(i) - 2*u(i). Find the third derivative of v(a) wrt a.\nAnswer: -144*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1974022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 - 1. Let w be b(1). Let m = -1031\/9 + 115. Determine h so that 2\/9*h**2 - 2\/9*h**w + m*h + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/9, -2, -0.5, -110?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2494643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/7)\/(((-30)\/20)\/((-252)\/(-48))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2)\/sqrt(6))\/sqrt(4).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*s + 4*v, -4*v = -2*s - 8. What is the smallest common multiple of s and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 n when three letters picked without replacement from {y: 3, e: 9, n: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 28*l - 27 - 21 = -12*l - 14*l, 2*z - 2*l + 88 = -6*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*76\/57. Suppose -r*d + 128 + 7 = g, -g = -4*d + 285. Let h = 80 - d. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -127034\nAnswer: 2413646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 47 = z, 3*y - y - 22 = -3*z. Suppose -10*g - 33 - y = 0. Let b be (-168)\/35 + (-4)\/g. What is the third biggest value in -0.5, b, 0.09?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 - 128084*b**3 + 4101121588*b**2 + 16406023392*b + 16406535744 = 0.\nAnswer: -2, 64044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -102, -52.\nAnswer: -102, -52, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2400\/11 + 218. Let t = 0.2132 - 0.0832. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l**3 - 7*l**2 - 7. Let r(g) = 9 + 4 - 2 + 19*g + g**2. Let x be r(-18). Let c(n) = -2*n**2 + 10*n**3 - n**3 - 3*n**2 - 5. What is x*c(t) + 5*p(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 + 71111*a + 497541. Give v(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 234*q**2 + 234*q**2.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*p = p + 18, p = -5*b + 24. Let z(j) = -j**3 + 6*j**2 - 6*j + 7. List the prime factors of z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 1114240131?\nAnswer: -1114240140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26199.\nAnswer: 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 7926?\nAnswer: 23778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x**3 + 27*x**2 + 12*x + 15. What is o(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 + 2. Let o be h(-2). Let m(y) = 7*y + 2. What are the prime factors of m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4\/13 - 1332*x**3\/13 + 221776*x**2\/13 + 1332*x\/13 - 221778\/13 = 0.\nAnswer: -1, 1, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 3*d + 1. Let v be j(-3). Solve -2 = i + v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(2) + 1 + -2)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -10, 3, 25, -4 in descending order.\nAnswer: 25, 3, -4, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/51544665 and -37\/51544665?\nAnswer: 51544665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -54*b**2 + 202*b - 245. Determine o(8).\nAnswer: -2085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -143.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528307326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83832 is divided by 41382?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45101 + 1?\nAnswer: 45102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/((-6)\/502))\/(10\/90) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27147 + -27154. Let m be ((-2)\/(2 + -3))\/(-17). Which is the second biggest value? (a) 0.1 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f + 44. Let t be g(11). Suppose t = 26*m - 202079 - 556991. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k**2 + 75*k - 68. Calculate x(8).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -611, -775, -1047, -1427, -1915, -2511, -3215?\n\"Answer: -54*a**2 - 2*a - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 146\/1168701 or 0?\nAnswer: 146\/1168701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 9*p**2 + 11*p + 17. Let s(x) = 2*x + 3. Let r be s(4). What is the units digit of u(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u**2 - 7 - 2*u**2 + 21 + 10*u**2 - 7*u wrt u.\nAnswer: 10*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54.6 + 23.4. Which is smaller: o or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j**2 + 3970*j - 11906. Determine s(3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 3*m**2 - 7*m**2 + (-89*m + 196*m - 94*m)*(35*m - 23*m + 35*m) in the form h*m + r*m**2 + x and give r.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50336 divided by -9208.\nAnswer: 6292\/1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - -0.1. Let x = 6\/955 - 973\/2865. Which is the closest to x? (a) -2\/5 (b) y (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -534 - -1534. What is the smallest common multiple of h and 14?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -3. Let q = m + 27. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/((-5)\/((-45)\/6)). Suppose 5*b - f = 4*k + 4, -b - 3 = -3*k. Let p = b - 3. What is the remainder when 15 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-18 - -30) + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/(-11) + (-8)\/(-132)*3. Which is the second smallest value? (a) j (b) 6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.99 + 0.01. Let x = 19\/5 + -18\/5. Which is the second biggest value? (a) t (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/24 + 2*f**3\/3 - 2*f**2. Let r(w) = -4. Let b(h) = -4*p(h) - 3*r(h). List the prime factors of b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/4 - (-2 - 4). Let c(f) = -f**2 + m*f**2 + 1 + 2*f + 3. What are the prime factors of c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + -2.9. Let l = 4.000032 + q. Round l to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-57)\/(3 + (-27)\/6). Let w = i - 12. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 184? (a) -0.5 (b) 0.2 (c) 2\/11 (d) 4 (e) -49\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:14 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -834.5569 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 685443937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 22*f - 5. Let c be a(-22). Let t be 17\/(c\/(-1 - 4)). Let r = 41 + t. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 39*v**3 - 26*v**2 - 26*v. Let g(x) = -8*x**3 + 5*x**2 + 5*x. Determine -26*g(w) - 5*k(w).\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3569*y - 883*y - 15941*y as j*y + s and give j.\nAnswer: -20393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*s - r, -3 = 3*s - 5*r + 7. Suppose 49 = 3*p + 4*a + 13, -p + s = -a. Suppose 0 = -15*d + 8*d + 56. What is the least common multiple of d and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.76767 millilitres in litres?\nAnswer: 0.07176767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-168)\/216) + (0 - 2).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31041 (base 5) to base 10.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 854814 to the power of 1\/2, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/21)\/(-2 + 16\/6). Suppose -f + 5*j - 1 + 4 = 0, z*f - 30 = 2*j. What is the units digit of (-3)\/(-9) + 1146\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111010921*s**3 - 108801507*s.\nAnswer: 666065526*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 409813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23813*b**2 - 103 + 39*b - 39*b + 103.\nAnswer: -23813*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 25*v**2 + 25*v**2 + 2 - 5*v**4 to the form k*v**4 + y + r*v**3 + g*v + o*v**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-27)\/15 - 2\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + ca90?\nAnswer: ca8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 66 = 4*p, -66 + 16 = -3*n - 5*p. What is the units digit of (8\/20 - (-6)\/n) + 319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/4 + z**3\/3 - 2*z**2 - z + 52. What is c(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 1056 = -0*f. Round f to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19010000 to the nearest 100000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 - 9*y**2 - 2*y - 5. Let z = -2 + -3. Let r be z\/((-5)\/3) + 1. What are the prime factors of d(r)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -96. Let p(y) = 33*y**2 - 3*y. Let u(z) = -65*z**2 + 7*z. Let n(s) = g*p(s) - 2*u(s). What is the second derivative of n(d) wrt d?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 36 = -3*u. What is the second derivative of 235*j - 198*j + u*j**2 + j**3 - 115*j wrt j?\nAnswer: 6*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a micrometer in nanometers?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 395 in 14\/13, 4, 0.1, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8528 + 2282 = 0. Let q be g\/(-230) + 4\/(-10). Solve 4*a = a + 2*m + q, 5*a = -5*m + 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 5, -20, -2\/3, -120\/23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -337, -334?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 1594\nAnswer: -1594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1518 + -1484. Put -4, -3, t, -1 in descending order.\nAnswer: t, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 226*m**3 + 11*m**2 + 13 - 358*m**3 + 133*m**3 - 2*m**2 + 14*m. What is w(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.77 + -0.8. Let r = -29 + 28.89. Let v = r - h. What is v rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6219815 is divided by 116.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by -5.\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*3)**2 + 2.\nAnswer: 11702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and 76\/303?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k + 17. Let p(n) = n - 4. Calculate 9*p(x) + 2*y(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182572 + 57086. Suppose 3*p - 905935 = 4*s, -5*s - 2*p - 1132433 = -p. Let n = b - s. What is n rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308117146 and 2.\nAnswer: 308117146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244754, 244647, 244540, 244433, 244326?\nAnswer: 244219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283461 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2861.6 and -5.\nAnswer: 14308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -435 + 104. Let w = -338 - j. Let x(s) = s**2 - 4*s + 2. Let c be x(3). What is the closest to c in 2\/7, -4, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000924847 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.13 (b) -1 (c) 0.5 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 - 14*v**2\/9 + 28*v\/9 + 80\/3.\nAnswer: -2*(v - 4)*(v + 5)*(v + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -521191250365 and -0.01.\nAnswer: -521191250365.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 3e?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 - 286. Suppose c - v = 8, -4*c + 4*v = r*v - 23. Calculate the highest common factor of 26 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -36.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -3081657?\nAnswer: 3081654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.208, 2, -2\/13 in descending order.\nAnswer: 3.208, 2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3146 - 75*l - 1609 - 1567 wrt l.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 24*s - 133. Calculate c(19).\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f + 9. Let p(y) = -y**2 - 8. Let a(l) = 5*p(l) + 4*r(l). Let b(v) = -5*v**2 - 25*v - 25. Determine -25*a(n) + 4*b(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-4))\/(-3))\/(5*1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -2. Let r be -54*26\/(-117) - (-4 + -1). Solve r = t*g + 41 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3351854188149.99839 + -3351869124822. Let j = 14937025 + k. Let a = j - 353. What is a rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 17*n**3 + 26*n**2 + 13*n - 9. Let v(y) = -8*y**3 - 13*y**2 - 6*y + 4. Calculate -13*v(f) - 6*w(f).\nAnswer: 2*f**3 + 13*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, v: 2, o: 3, d: 4}. What is prob of picking 2 o and 1 t?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1851.12 minutes?\nAnswer: 111067.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 2*n - 3 + 3 - 4 - n**4 to o*n**4 + g + t*n**2 + p*n**3 + i*n and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = 4*b. Find the third derivative of v**6 - 28*v**4 + b*v**2 + 28*v**4 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 33*p + 125. Let t be q(-4). Let s(d) = -9*d**2 + 2*d + 6. Let o(g) = 8*g**2 - 2*g - 5. Calculate t*o(a) - 6*s(a).\nAnswer: -2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120.3 + 120.3. What is the closest to y in -3, -3\/8, -7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.274 * -9\nAnswer: -191.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*n = -20, 0 = 2*b + 2*n - n - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19466 + -2.\nAnswer: 19464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60955331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5104*d**2*h*j - 3*d**2*h - 21*d*h + 76*d*j + h*j wrt d.\nAnswer: -10208*h*j - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.35 (b) -2\/221 (c) -0.3 (d) -0.4 (e) -241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 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: Solve 2*o = -2*h + 2, -139*h - 4*o = -143*h + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4 - 10*c**3\/3 + 4*c**2 - 5*c. Factor q(d).\nAnswer: 4*(d - 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042035 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34000 + 1300?\nAnswer: -32300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 68*f**2. Let a(n) = 185058*n. What is l(a(p))?\nAnswer: 2328759508752*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 9608592*x\/5 + 19217192\/5.\nAnswer: -2*(x - 2)*(x + 4804298)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51465 + -22?\nAnswer: -51520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1230 (b) 0.2 (c) 1.26 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 39\/52*-8*1\/(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 215 - 15?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8759 + 8763. What is the nearest to 0 in -4\/9, -2\/7, a, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**6\/((h**14*h)\/h**(-15)) assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (284921\/(-9393))\/(3 + 18)?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aca7a4 (base 14) to base 3.\nAnswer: 102001010122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 5:34 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1110011010111000?\nAnswer: -1110011010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4222656 and 55\/527832?\nAnswer: 4222656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f + 2*f - 3 - 3*f. Let s be j(-5). Suppose 4*n = s*n + 3*v + 11, 5*n + 3*v = 17. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -61421*a**4\/6 + 47*a**3\/6 - 19*a**2 + 2*a + 4. Let v be q(18). Round v to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + 37. Let r be -1 + -3*2\/(-3). Suppose 2*q - 20 = 3*n, q + 2*n = -n + r. Calculate the greatest common divisor of d and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 24\/3539819?\nAnswer: 24\/3539819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 - -80b7?\nAnswer: 808d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 3)\/25*-2. Let n = h - -229\/50. Let d = n - 85\/18. Which is the second biggest value? (a) 0.2 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 41 = -5*j - 81, -4*o - 34 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:41 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2659 divided by -13\nAnswer: 2659\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15450 and 450522.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4115085 and 34\/565175.\nAnswer: 761290725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 28*y**2 + 62*y + 32.\nAnswer: -2*(y - 16)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*i - 15*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 607543123 a multiple of 3744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18781546 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 25 = -4*z. Suppose o - 4*x = -55, 3*o - z*x + 94 = -71. What is the units digit of ((-3)\/(4 - 1))\/(1\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00116516 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v + 12 = -68 - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 20014*x - 16028*x + 1 as f + z*x and give z.\nAnswer: 3986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 364097, 728119, 1092079, 1455983, 1819837, 2183647, 2547419?\n\"Answer: q**3 - 37*q**2 + 364126*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**3 + 3*d**2 + 5*d - 11. Determine c(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (4 + -2 + 2). Is (279\/27)\/((-1 - s)\/6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 2*t**3 - t**3 - 2 - 8*t**3 + 8*t**3.\nAnswer: -3*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4745 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 13*p**5\/60 - p**4\/24 - p**3\/6 - 2*p**2. Suppose 4*c = -t - 7, -4*c - 4*t - 6 = -2*t. Is j(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*v - 10, -2*v + 3*v = -o - 10. Sort o, 2, 0 in descending order.\nAnswer: 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/((-25)\/375)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r\/(r*r*(r*(r\/r**(1\/9))\/r)\/r*r))\/r)*r**(-2\/3)*(r**1)**40 assuming r is positive.\nAnswer: r**(380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 96786 and -0.3.\nAnswer: -29035.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.93 + 43.57. Let y = -44 + u. Let q = -3 - -2.8. Which is the nearest to 1? (a) 0 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12950 divided by 2?\nAnswer: -6475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172599\/20 + -8632. Let b = -5819\/1824 + 62\/19. What is the common denominator of s and b?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2757.4 - 2757. Let u = -2.3 + -0.7. Which is the closest to 0? (a) p (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*h**3*l - 4*h**2*l + 3*l - 3 wrt h.\nAnswer: 918*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 5*t + 2. Let a be l(9). Let p = 122 - 85. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 42\/(-12))\/(((-15)\/2818598)\/5) 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 jjkjjokokoooojooojj. What is prob of sequence kk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzj when three letters picked without replacement from zzzjzqzjzzjq?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 1, y: 3, m: 1}. What is prob of picking 2 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7251200, 7251213, 7251240, 7251287, 7251360?\n\"Answer: n**3 + n**2 + 3*n + 7251195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 265 = 3*o. Let f = -36 - o. Let u = 99 - 51. What is the remainder when u is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 3, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118687 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 - 5*s**2 - 1. Let b(r) = -14*r**3 - 14*r**2 - 3. Let m be (-3)\/(-9)*33 - 1. Suppose m*u - 5*u - 20 = 0. Calculate u*b(n) - 11*i(n).\nAnswer: -n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -77 (c) -2\/81 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 3239289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + -53. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5390175 is divided by 101701?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8625, 8625, 8623, 8619, 8613, 8605, 8595?\nAnswer: 8583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 32*l**2 + 36 - 78.\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/9*-3*1. Let l = 12 - 6. Solve y*t + 8 = l*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 590*v**2 - 595*v.\nAnswer: 5*v*(v - 1)*(v + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(6\/420*7). Let h = 2 - -2. Put c, 1, h in ascending order.\nAnswer: 1, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/4*-5*(-270)\/(-75).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i. Let z(o) = 71*o**2 + 6025 - 6025. Give z(h(l)).\nAnswer: 284*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10011360 by -60.\nAnswer: -166856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/15 + 620536*h**2\/15 - 3207177590*h - 263266801500 = 0.\nAnswer: -82, 155175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, 31, -2\/13 in increasing order.\nAnswer: -2\/13, 1, 3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1897*b + 1. Let k(g) = 6*g**2. What is h(k(c))?\nAnswer: 11382*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (120*a + 352*a**2 - 120*a)*(0 + 0 - a)*(-3*a - 3*a + 0*a) to i*a**4 + w*a + r + c*a**3 + k*a**2 and give i.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2312 = 2*f - 6*y, 10 = -5*y. Round f to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 5*m. Let c(z) be the second derivative of -2*z + m - 1\/24*z**3 - 1\/4*z**2 + 1\/80*z**5 + 1\/24*z**4. Factor c(x).\nAnswer: (x - 1)*(x + 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -9 + 13 + 17 - (25 + (28 - 14))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3354300*s**3 + 3066804*s wrt s?\nAnswer: 20125800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227*b*r**3 - b*r - 396*b - 2*r**4 wrt r?\nAnswer: 1362*b*r - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*v + 183*v - 366*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 11. Let h(k) = -36 + 20*k - 10*k - 8*k. Let x be h(22). What is t(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (1 - -9*1). Let f(o) be the first derivative of -o**3\/3 + 5*o**2\/2 - o - 15. Let a be f(4). Solve x = 3*p - 2*w, 3*w = -5*p + 28 + a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-17)\/((-272)\/(-72)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*m - 27 - 32 + 59 + 36*m as i*m + o and give i.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439, 882, 1329, 1780, 2235, 2694?\nAnswer: 3157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 7*r**2 - 6*r + 4. Suppose -5*c - 43 = -13. Give u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j - 153*j**2 + 5*j + 5*j**2 in the form u*j + x*j**2 + k and give x.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 + 2*c - 4. Let x be v(-3). Suppose -218*h + 205*h + 832 = 0. Calculate the highest common factor of x and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/10))**(-13))**(-47) assuming d is positive.\nAnswer: d**(611\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 2*h**6\/45 - 2*h**5\/15 + 4*h**3\/9 - 2*h**2\/3 + 38*h. Factor d(k).\nAnswer: 4*(k - 1)**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - 4081\/(-833)) + -5)\/(((-2)\/7)\/1).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 11*c**2 - c + 58. What is the remainder when 740 is divided by y(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 939 + -444. Let u be s\/12 - 12\/48. Calculate the highest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 184078944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 937 in 2, 4\/7, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 72 = 3*t, -5*j = -187*t + 185*t - 148 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 28*z - 12. Let u be p(5). Solve 7 = u*q - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33\/101 + 11347\/202. Is t != 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(-3*(1 + (sqrt(539) - -1*sqrt(539)))*-1 + 3)**2.\nAnswer: 1512*sqrt(11) + 58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7457673136 rounded to the nearest 1000000?\nAnswer: 7458000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66685 - 1218429.3?\nAnswer: -1151744.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bne when three letters picked without replacement from {b: 2, n: 3, e: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.00096 hours in days?\nAnswer: 8.12504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3, -3*o - 366*f + 371*f = 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*y = 14, 2*h + 0 = -2*y + 6. Let r(n) = 78*n - 152. Let j be r(h). What is the highest common divisor of j and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z. Let k be q(0). Suppose -3*c + 4 + 5 = k. What is the smallest common multiple of -2 + (-1 - -5) + 11 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(768\/(-20))\/(-6). Let h be (-16)\/g*(-4)\/(-3). Let j be (3 + -4)\/((-17)\/2). What is the third biggest value in h, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*v - 3*h + 17, -h = 2*v - 7. Suppose 5*q + 10 = b, -5*q = 2*b - 7 + v. Let m = 6 + -2. Solve 4*z + b*t = -0*z - 1, -4*z - m*t = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 195 = v, 3*p - 589 = 56*v - 57*v. What is the least common multiple of 140 and p?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*c - 52. Put 5, -2, 1, c in ascending order.\nAnswer: c, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 7}. Give prob of picking 1 x and 1 n.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1216928 or -1\/2?\nAnswer: -1216928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + w - 3)*(-3*w**2 + 3*w**2 + w**2) + 22*w + 7*w**3 - 22*w to s + k*w + y*w**3 + q*w**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2104534 + 473?\nAnswer: -2104041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000050617012 to 7 dps.\nAnswer: 0.0000506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 932 - 931. Let q = 21.8 + -44.8. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h. Suppose 5*s - 3*b = -73, 19*b - 2 = 17*b. Let i(r) = r + 11. Let f be i(s). What is p(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {u: 2, s: 1, w: 1, d: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 0.2. Let k = 13\/2 - 8. Let w = 1 - 0.8. What is the second biggest value in k, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 7*s + 2. Let p be v(-8). Let q = -4 - p. Is 11 - ((q - 2) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/5 + 18*n**4\/5 - 14*n**3 + 6*n**2 + 68*n\/5 - 48\/5 = 0.\nAnswer: -12, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40595*i**2 - 59948*i.\nAnswer: 81190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10271167, 10271178, 10271191, 10271206?\nAnswer: 10271223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692573204.\nAnswer: 2, 3, 7, 431, 46751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -12 + 29 + (-1 - 15) - (1 + 42).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:50 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5 and -23\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -66044376?\nAnswer: -66044377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b. Let m(f) = 2*f - 2*f + 2*f. Let p(q) = 7*m(q) - 5*y(q). Let z(l) = -2*l**2. Give z(p(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 4*z**2 - 4*z - 48. Let j be y(6). Solve s = -j*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.17805 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 5*t + 7. Let p be b(-5). Suppose 0 = -5*w - 2*k + 5 + p, 0 = -4*w + 4*k + 32. Suppose -8*v = -w*v - 24. Solve 14 = -5*r - v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -341 + 357 - (-2 + -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (232\/45994)\/(6\/(-39))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3\/4 + 72111543*c**2\/4 - 36055773*c\/2 = 0.\nAnswer: -24037182, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + v**3 + 2*v**2 + 5*v**2 + 5 - 4*v. Let n be c(-4). Solve 2*u - n*p = -p + 12, 4*u - 3 = p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1035446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 1. Let j(o) = -4*o**2 - 6*o - 4. Calculate -j(m) + 3*x(m).\nAnswer: m**2 + 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(14)\/(sqrt(7) - sqrt(252)))*-3 + -5)*6.\nAnswer: -84 + 18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2\/7 + 802*o\/7 - 1620\/7 = 0. What is o?\nAnswer: -405\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.62167 months to years.\nAnswer: 24.2184725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 + 14*h + 8. Let t be c(4). Let v be (12\/20)\/((-12)\/(-480)). Solve t*x + 3*x = -4*i - v, -5*i = 5*x + 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 670*n**2 - 9*n - 692. Let u(y) = -167*y**2 + 2*y + 173. Let h(x) = -4*m(x) - 18*u(x). What is the derivative of h(c) wrt c?\nAnswer: 652*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -4*f + 142. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6753134 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 35 - 5. Let p(n) = -4*n**3 - 2*n**2 - 12*n + 17. Let o be p(g). Suppose 4*z = l + o, 4*z + l + 1971 = 6*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69930)\/1820)\/(-333)*-1*(-20)\/(-6)\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 5*n**2 + 5*n - 9. Let z(o) = o**3 + 3*o**2 - 3*o + 4. Let h(f) = 3*x(f) + 5*z(f). Find the first derivative of h(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-21)\/2)*(-2900)\/58.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-9))\/((-1218)\/1044)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**3\/3 - 13*y**2\/2 - 32*y + 49. Let o be k(19). Calculate the highest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = -2*v, c = 4*v + 4*c + 22. Let q = -30584\/7 + 30557\/7. Is v bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b6 (base 12) to base 3.\nAnswer: -1011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 7. Let s be 10*12\/20 - (9 - -4 - 0). Let t(f) = 2*f**2 - 10. Calculate s*x(w) + 5*t(w).\nAnswer: 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3189558630 to the power of 1\/3, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) 8 (d) -2\/13 (e) 21\/5 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 2*o**2 - 3*o + 2. Let x be y(-4). Let z be (-12)\/(-5) - (-7)\/((-210)\/x). Suppose -c + z + 65 = 0. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4726 - 3*z**3 + 4732 - 9458.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241093490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 282354 - 526354. What is i rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 31*f. Suppose 9*a - 110 = -2. Let r(y) = -28*y + a*y + 15*y. Give q(r(z)).\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2559 is divided by 214.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84378987065 - -84378987402.000000594. Let l = 275.4 + 61.6. Let i = l - t. What is i rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 3*a**3 + 13*a**2 - 1987*a + 1164. What is the first derivative of k(u) wrt u?\nAnswer: 18*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -420\/31 (b) 0.3 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 1.14 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 647172403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, -1\/6, -0.4, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78.424 - -78. Let i = z + -43.186. Let d = i + 44. What is d rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o + 5 = 0. Let q(v) = -10*v**2 + 3*v - 2. Let h(p) = -30*p**2 + 8*p - 5. Let t(b) = -3*h(b) + 8*q(b). Calculate t(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 2, 1, -54879, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/76461 and 74\/90363.\nAnswer: 993993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25250625.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33642\/(-267)*2\/(-3)*1\/15?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11117 or 1?\nAnswer: -2\/11117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 2*u)*(18*u**3 + 77*u - 77*u).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145)\/45 - ((-56)\/36)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3254981831.\nAnswer: 3254981831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79565.7 minutes in hours?\nAnswer: 1326.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.9878 days?\nAnswer: 776545920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*n**6 + n**5 - 473*n**2.\nAnswer: -4200*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*d - 212*d = 40*d + 11840 for d.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - -8 - (-51 - -48).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*j**2 + 145*j**2 - 51*j**2 - 75*j**2.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.30558 - 0.00558. Suppose -5*w = -10*w + 20. Let i = -1 + 1. Which is the closest to -1? (a) l (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 175?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1267 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 2:48 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-18))\/4*(-2454)\/(-2045)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*x + 2 = 2*x, 3*m - 5*x + 3 = 0. Let z be 0 - m\/(1\/2). Is z equal to 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 + 7. Let g(x) be the second derivative of -x**4\/4 - 3*x**2\/2 - 3*x. Let a(z) = 5*g(z) + 2*u(z). What is the derivative of a(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9360 + 9360. Is l less than 3\/2953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:44 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 48 = z. Suppose -2*g - z = -6*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -14 + (8 - -5 - 23)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29\/3 + -10. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45\/2 + 139\/6. Find d such that -l*d + 2\/3*d**3 + 1\/3 - 1\/3*d**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 17799 = 3*l, -5*l + 181*c - 176*c = -29665. What are the prime factors of l?\nAnswer: 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 455b0b + 267?\nAnswer: 456075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34471 is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let o(k) be the second derivative of 7*k**3\/3 - 2*k. Give w(o(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 + 61*a - 81\/4.\nAnswer: -(a - 81)*(3*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -192467.\nAnswer: 27\/192467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-783 + 753)*(-2)\/(-56)*1?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 9. Let b be a(7). Let v be -1 + -3 + (-2)\/b. Let d be 9\/v*(-1)\/6. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64430.73ng in tonnes?\nAnswer: 0.00000000006443073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 153360 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0687 * 3\nAnswer: -0.2061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 50?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -111*c**2 + 8*c**3 + 111*c**2. Let p(l) = -23*l**3. Determine 6*p(q) + 17*r(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 20480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**2 + 2 + 714*l - 714*l wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -1052 (c) -0.12 (d) 0.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -74.68 * 0.3\nAnswer: -22.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/95, -4, -5, 0.4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/48 and (488\/(-18) + 0)*36\/(-768)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-6 - (0 + -7))) + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -4. Let l = -191 + 186. Let a be (l\/8)\/(1\/(-8)). Sort t, a, 0.02 in decreasing order.\nAnswer: a, 0.02, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 1978\/3*a**2 - 146\/3*a + 2\/3*a**4 - 660 + 146\/3*a**3 = 0.\nAnswer: -55, -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 132018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + b)*(-9 - 27 + 10)*(0 + 0 + 9*b).\nAnswer: 468*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19965 and 200730.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10025 and 475?\nAnswer: 190475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 6*g + 9. Give v(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -10 - (11 + -3 + -6 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 679.8 - 680. Let g = 0.34 - -0.06. What is the closest to 1 in g, 1\/11, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0*d**2 + 34*d + 0 - 1\/2*d**3. Let y(q) = 10*q**2. Calculate b(y(l)).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {l: 6, b: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -31489?\nAnswer: 31489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-32 - -1) + -2. Let y = 51 + x. What is the remainder when 69 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*n - 109*n = 213. What are the prime factors of n?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2699308\/21 - -128494. Let u = i + 435\/7. Calculate the common denominator of u and -19\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {s: 1, z: 1, j: 1, a: 3, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 634421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by -1?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25896 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: Evaluate -50 - (-29 - (12 - 21)) - 5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6*y + 87. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76320 and 610560.\nAnswer: 610560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0*h + 5\/6*h**3 - 1\/120*h**6 + 0 + 1\/15*h**5 + 0*h**4 - 24*h**2. Give f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176628550 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/2 (b) -0.1 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -11 - (14 + -35 - (-18 - -18))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let a be (-2 - b)*(1 + -2). Let n be 1101\/2 + a\/(-2). What is n rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 10360, -797, -2 in descending order.\nAnswer: 10360, 3, -2, -3, -797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 96 = 4*o - 104, 19*o + 3*r - 25 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4179*w**3 + 15*w**2 - 9*w + 10. Let t be k(14). What is t rounded to the nearest one hundred thousand?\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.5? (a) -1 (b) -5 (c) -0.3 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 8*i - 456. Calculate u(16).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/53 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/4, 113, 2\/9, 5, 322, -0.6?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-8)\/6*15\/71870) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 97 = -2*k - 13, 4*i = -4*k + 144. Let r be -76*(-1 + 0 + 0). Calculate the greatest common factor of r and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-2))\/(5\/2*-3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 q, and 1 c when three letters picked without replacement from kmkkoomhkkhkcqkkcmmc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13306*h**4 + 84*h**3 + 507254*h**2 + 1 wrt h?\nAnswer: -319344*h + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 9*i**2 - 4517*i + 18001. What is h(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + 2.2. Let j = -0.06 - -2.06. Put 0.1, w, j in ascending order.\nAnswer: 0.1, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1488 and 7874.\nAnswer: 188976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*c + 6*b - 137 + 9, 4*c + 48 + 168 = 4*b for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/((-9)\/(18\/4)*-2*3645\/1944)?\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 20. Let i be -1*x\/(-4 + 1). What is the second derivative of -d**5 + 0*d**i + 0*d**3 - d wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*f**2 - 6 + 1 - 1 - 8*f + 15*f**2.\nAnswer: -2*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (4 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2. Let z(u) = -41*u + 46. Determine w(z(k)).\nAnswer: -3362*k**2 + 7544*k - 4232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 8. Let a be (p\/(-30))\/(2\/(-6)). Which is bigger: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1829 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(65565\/(-31))*3\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9635282.\nAnswer: 2, 47, 102503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - o - 3. Let i(h) = 5*h**2 - 2*h - 3. Let k(g) = -3*i(g) + 4*y(g). Is 16 a factor of k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q - 16. Suppose 0 = j - 2*l + q*l, -l = j - 2. Solve -4 = j*s + k - 25, -4*s - 5*k = -41 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 29, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67302104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**2. Let i(b) = 2*b**2. Let s(r) = -11*i(r) - 4*o(r). Let y(f) = 3*f**2. Determine s(y(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k + 25 = -5*r, 3 = k - r. Let p(l) = 7*l + 7. Let f be p(k). Solve 0 = -3*x - z + 6, 2 = x - 4*z - f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1662 + 1735 = 73*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6112526 and -29\/851920.\nAnswer: 244501040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 718 - 719. Let q = -0.5 + 0. Which is the third biggest value? (a) m (b) q (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135119156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-56))\/(11215\/8918168)\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4676473453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 31. Suppose -2*l - q = 2*i + i, i + 16 = -3*l. Let h = 9 + i. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 833 + -545. Calculate the remainder when m is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 1\/30*a**5 - a**2 + 0*a**3 + 0*a + 0 + 0*a**4. Let c(d) = 0 + 3*d**2 + 0. Determine c(o(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158968044?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*c = 294*c - 730876. List the prime factors of c.\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7925597279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 4*v**2 + 4*v + 3. Let r be t(-3). Suppose r = 5*y - 4*y + 2205. Is y\/(-33) + (-4)\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 a factor of 417243705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let j(m) = -4*m**2 - 133*m. Determine j(v(r)).\nAnswer: -16*r**2 - 266*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*z + 4*z + z)*(-z - 2 + 2) + (2*z + 0*z + z)*(2*z + z - 2*z).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*c + 101*c + 7 = 0, 0 = -3*o + c + 128521. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v - 67. Let x be k(11). Let t be 3*(3 + x - (-8136)\/108). What is the greatest common factor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 5) to base 16\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h - 11053 - 5444 = -410*h - 785*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**2\/2 + 13*n + 8. Let z(t) = 3*t + 8. Let b be z(-6). Let q be v(b). Solve s - 12 = -q*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56960 and 256.\nAnswer: 113920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21352292.\nAnswer: 2, 13, 410621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 15 = 4*u. Let d(n) = 2 + 33*n**3 + 5*n**2 - 58*n**3 + 26*n**3 + 2*n. Give d(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 + 2*v + 4. Let l(q) = -42*q**2 - 17*q - 34. Let x(s) = 51*k(s) + 6*l(s). Let i(y) = 2*y**2 + 19. Determine x(i(p)).\nAnswer: 12*p**4 + 228*p**2 + 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.35 times -655\nAnswer: -884.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 15 = 5*k, -1391*w + 1396*w + 29 = -k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8)*-130 + 0. Let z = -49 + o. Calculate the greatest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/719 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/126 and -3\/80374.\nAnswer: 723366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 52*t**3 - 2*t**2 - t - 2. Let i(z) = -261*z**3 + 11*z**2 + 6*z + 11. Let a(g) = 52*g - 1029. Let o be a(20). Calculate o*r(v) + 2*i(v).\nAnswer: 50*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504011741.\nAnswer: 504011741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808339 and 94017.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6647, -13540, -20679, -28064, -35695?\n\"Answer: -123*w**2 - 6524*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 31 = 5*p, 4*p - 573*g = -572*g + 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247068017?\nAnswer: 7, 35295431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1614966318 and -8.\nAnswer: -1614966326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111\/(-296))\/((-6)\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 at least -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l**2 + 58*l - 22. Determine i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {b: 3, i: 3, v: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/4 - 1 - 3. Suppose 4*d + 3 + 1 = 0. Is d >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-13)*g)\/g)\/g**10)\/(g**(2\/27)\/((g\/g**(2\/31))\/g)) assuming g is positive.\nAnswer: g**(-19367\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1575900 - -15.37.\nAnswer: 1575915.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148759*t**2 - 148768*t**2 - 148771*t**2 - 148767*t**2 + 595061*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5607 and 10?\nAnswer: 56070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**2. Let q(a) = -8 + a + 4 - 6*a. Let b(r) = 4*r + 3. Let g(x) = -4*b(x) - 3*q(x). Determine g(k(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.121674 to three dps.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.226166909 rounded to two dps?\nAnswer: 4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 102614, 101998, 100326, 97070, 91702, 83694, 72518?\n\"Answer: -88*r**3 + 102702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 413354?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 - 138 - 3*r**2 - 49*r**2 + 63*r**2.\nAnswer: -2*r**2 - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5872 = 3*o, -o + 16*h = 13*h - 1964. What are the prime factors of o?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 13*s**2 + 39*s + 8. Let y be q(-8). Let m(w) = -2*w**2 + 26*w + 151. Let i be m(y). What is the greatest common factor of i and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x + 51*x + 49*x + 53*x - 220*x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 21*w**2 + 139*w - 110. What is the units digit of q(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*-1)\/sqrt(7) - -4*sqrt(20)\/sqrt(2))\/(sqrt(80) + 1*sqrt(20) + sqrt(20)) + 4)**2.\nAnswer: 3*sqrt(2) + 521\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 16374009.\nAnswer: 5\/16374009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2061 = 4*i + 2062, 11 = 16*s - 5*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74038985.\nAnswer: 5, 14807797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 195353, 195360, 195401, 195476, 195585, 195728, 195905?\n\"Answer: 17*m**2 - 44*m + 195380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16148085 and 2510.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Let s be 6 - y - (-3 + 1). Suppose 4*h + 0*g = -s*g + 59, -h + 2*g = -1. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**2 + 60*w + 65*w + 23*w**2 - 67*w**2 - 72*w**2 - 3*w**5 wrt w?\nAnswer: -60*w**3 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9009)\/264264)\/(2\/(-32)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1159.42 millimeters?\nAnswer: 115.942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -598476, -598484, -598492, -598500, -598508?\n\"Answer: -8*u - 598468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -254028 divided by 84676?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7635, 3, 128 in decreasing order.\nAnswer: 128, 3, -7635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4133.66973752 and -0.1?\nAnswer: 4133.76973752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 116*j**2 + 108*j - 809. Determine i(-115).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Let r be -4*(-2)\/(-5) + z. Factor -r*o - 6\/5*o**2 + 0.\nAnswer: -2*o*(3*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568309 is divided by 294.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 785*g**2 + 3770*g + 142197. Determine o(790).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 9 = q, -5*q = -3*k - 21828 + 21830 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 9:04 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 126 + 122 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*y + 416 = 0, 2*m = -0*m + y + 214. What is the greatest common divisor of m and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/13))\/t**(-2\/17))**(-1\/18)*(t**(-4)*((t*(t\/(t**(2\/23)*t))\/t)\/t)\/t)**(-2\/31) assuming t is positive.\nAnswer: t**(320657\/945438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3383284*j**5 - 3*j**4 - 3*j**3 - 30047501*j**2 - 2*j - 3.\nAnswer: -202997040*j**2 - 72*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 279 = -399 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 266?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 130, 415, 970, 1885, 3250?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57904*v**2 - 494868*v wrt v?\nAnswer: -115808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/18 and -13\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/135 and 73\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 158?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -23*g + 12. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 1\/5 (b) -1 (c) 2 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 + 0 = -m, 4*h - 5 = 5*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 - p - 4. Determine v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238491, 954503, 2147855, 3818547, 5966579, 8591951, 11694663?\nAnswer: 15274715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-69)\/(-15) - 4\/(-10). Suppose 4*f - 2*m = 21 + z, 5*f - 22 = -m. Suppose 4*j - 4 = 0, f*j - 2*j = -2*p + 17. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c + 20 = 0. Let r be (-32)\/18 + c\/18. Let q = r + 9. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + 6*(sqrt(605) + sqrt(605) + 0) + (sqrt(605) - (sqrt(605) + -1 + -3)) + (-1 + sqrt(605) + -2*sqrt(605))*-4)**2.\nAnswer: 1056*sqrt(5) + 154889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = c. Sort 2, 5, c, -5 in ascending order.\nAnswer: -5, c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f - 32*f - 145*f + 126*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*n - 8 = 0, 2*w - 6*n = -n + 14. Suppose -5*k = w*s - 148, -s = -2*k - 3*s + 58. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12871 + 6488 + 6784 - 1329*l**4 - 698*l**4 wrt l?\nAnswer: -8108*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*p - 4*p. Let z(n) = n - 6 + 7 - 2*n**2 + 0*n. Let j be z(2). Sort p, j, 2.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 minutes before 5:29 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, f: 4}. What is prob of sequence fdf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Let s(b) = -b**2 + 7*b - 3. Let l be s(5). Let d(a) = 6 + 5*a - l - 3*a**2 - 2*a**2 + a**3. Calculate d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.83 - -0.778. Suppose -3*p - 12 = 0, -3*p = 2*y + p + 8. What is the third smallest value in -2, y, f, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*5\/(-45)*-3. Which is the nearest to o? (a) -4 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/6*(-1 + 3). Sort 1, m, 2 in decreasing order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 295?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*b - 20*b + 18027 = 84*b - 1944 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 1, d: 1, v: 7, o: 4}. What is prob of picking 1 q and 2 v?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*v + 97 = -320, -4*i + 1668 = 3*v. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/137947 and 131\/827682.\nAnswer: 827682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (287*f**2 - 281*f**2 - 33*f - 10*f)*(0*f + f + 0*f) in the form i*f + w*f**3 + g*f**2 + o and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -7. Let t = c + -8.1. Is 0.05 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 19*j - 320. Let i(a) = -285*a + 4864. Let h(f) = -5*i(f) - 76*x(f). Let l(m) = -174*m**2. Give h(l(z)).\nAnswer: 3306*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2 - 2. Let m = j + 9. Suppose m*u - 50 = 5*l, -5*u + 0*u = -l - 46. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + g)*(2*g - g + 0*g) + 5*g**2 - 5 + 5 + (2 - 3 - 1)*(-g + g + g**2) + 5*g + 4*g + 3*g**2 - 7*g.\nAnswer: 4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*c - c - 2*r, 5*c = -3*r + 18. Suppose 2*t + 53 = -2*y - 7, -90 = 3*y - 3*t. Let n = 30 + y. Sort c, 2, n in descending order.\nAnswer: c, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {k: 1, h: 7, y: 8, b: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97771109 to the power of 1\/2, to the nearest integer?\nAnswer: 9888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.33796 rounded to two decimal places?\nAnswer: -40.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11866.\nAnswer: 2, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/12*10\/15*0. Suppose q*c - c + 5*a = -20, -2*c - a = -7. Suppose 2*s + 3*l + 169 = 449, -719 = -c*s + 2*l. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011100100100011110 (base 2) in base 8?\nAnswer: -3344436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19695?\nAnswer: 3, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1392 - 1387) + (0 - 0 - (1 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 53 = 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10179815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/242 and -29\/308?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 2*i + 5. Give q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21989 or -571699\/26?\nAnswer: -571699\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1720 + ((-11)\/(-33) - 5\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*u = 2791*u - 38364 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 60 = 3*q - 45, -4*q = -2*s - 140. Let k be (5\/(-4) - -1) + 29\/4. What is the greatest common factor of k and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 6677 and 305 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Factor -2*j**o + j - 4*j + 4*j**2 + j.\nAnswer: -2*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 13. Let b be 4 + ((-9)\/(-2) - 2\/(-4)). What is the highest common divisor of z and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683676389 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - -109) + -67 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26475821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 38 - 370905\nAnswer: -370867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7208 - -10119. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 2, e: 1, s: 1, i: 1}. What is prob of sequence xx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, y: 2, s: 5, k: 2, h: 2, i: 1}. What is prob of picking 1 s, 1 y, and 1 c?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2562.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 268 + 8 = 0. Let a = h + 65. Let s(w) = -9*w**2 + 8*w**2 + a*w**2. Let r(t) = -4*t**2. Give s(r(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 88*u**2 + 11*u + 25. Let i be l(-3). Calculate the highest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 724.11*-30.\nAnswer: -21723.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 7*h + 26. Let l = 12 - -27. Let a = -48 + l. Does 11 divide k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*q**3 + 49*q - 49*q + (-2*q + 3*q + q + (1 - 2 - 1)*(-4*q + 2*q + 0*q) - q + 0*q + 0*q)*(q**2 + 0*q**2 + 0*q**2).\nAnswer: -33*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2. Let t(x) = 26*x. Give t(r(c)).\nAnswer: -130*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0863 + 0.0863. What is the closest to 0.126 in 5, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34989\/2289)\/(20\/(-105)*(-9)\/12)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f + 10. Suppose -g = -4*r + 21, -g - 3*r = r - 11. What are the prime factors of w(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4\/15 (b) -1\/5 (c) 11367\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49734002 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: What is the remainder when 5002 is divided by 456?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17703 - 2?\nAnswer: -17705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 436*c**3 - 13*c**2 + 36*c**2 - 8*c**2 - 8*c**2.\nAnswer: 436*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(12\/(-9) - 0). Let n be ((-1)\/(-2))\/(1\/(-6)). Put n, -1, t in decreasing order.\nAnswer: -1, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/19, -12\/5, -7, 4\/43 in increasing order.\nAnswer: -7, -12\/5, -0.5, 4\/43, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8024)\/90)\/(1*2\/(-4)). Let g = -876\/5 + b. Let m = g + -326\/99. What is the second smallest value in -0.1, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(396)*-1)\/(sqrt(20)\/sqrt(45)).\nAnswer: -9*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1251)\/27 - 1\/(-3). Let o = m + 51. Suppose -o*f + f = -48. Solve f = -5*b - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*j - 5*l + 2, -2*l + 6 = 2*j. Let a(y) = -y**2 + 14*y + 7. Let u be a(9). Suppose j*x = t - u, 5*t = -0*t - x + 260. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 366*p**2 - 1944*p + 33060. Calculate i(371).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13653542 is divided by 593631?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u. Let f(v) = -5*v + 3*v + v - 9*v. What is s(f(z))?\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1986073 litres in millilitres?\nAnswer: 198.6073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 36380630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k*t**3*y - 33520886*k*t**3 - 5988896*k*t**2*y wrt y.\nAnswer: -4*k*t**3 - 5988896*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 115b1 - 5?\nAnswer: 115a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6577, -13157, -19715, -26239, -32717?\n\"Answer: 2*v**3 - v**2 - 6591*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -1 - 204\/(-68). Solve g + d = 3*u + 2*g, 36 = 4*u - 5*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -124*z**2 + 741*z + 17. Calculate m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. Let b be ((-32)\/48)\/((-2)\/9). Sort b, g, 4 in decreasing order.\nAnswer: 4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43524221 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -159*((-7)\/(-3) + -2). Let p = 79 - g. Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*v - 5 = 0, -2*v + 2 - 12 = 0. Suppose 5*f + 3*q - 37 = 0, n*f = 2*f - 4*q + 31. Let c(h) = -9 - 6 - f - 11*h + 19. What is c(2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31574 is divided by 474.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:15 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5 + 9 - 3*x**3 + x + x**2 - 3. Let v be ((-17)\/17)\/((-2)\/(-2)). Let s be l(v). Calculate the greatest common factor of s and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10596*t - 6 = 10587*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -128. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14878, -14884, -14890?\nAnswer: -14896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131991.\nAnswer: 3, 43997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 (base 9) in base 4?\nAnswer: -10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508363453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 - 2 - 2 - (97 - 85).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 778101 and 61098?\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189360*l*t**3 - l*t - 16*l - 14*t**3 - t - 49634 wrt t?\nAnswer: 1136160*l*t - 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/12 - c**3\/6 - 23*c**2. Let y(p) = p + 5. Let r(i) = 1. Let j(u) = 5*r(u) - y(u). Let b(s) = d(s) - 6*j(s). Give b(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 175, -1.\nAnswer: -3, -1, 1, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.061 + -38.939. Let y = d + 55.5. Let t = 17 - y. Which is the nearest to 0.1? (a) t (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -992 > 254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010311176 to 4 decimal places.\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 799 by 273419.\nAnswer: 799\/273419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 341484 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/5 + 8*x**4\/5 - 11*x**3\/5 - 32*x**2\/5 + 12*x = 0. Calculate x.\nAnswer: -2, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 2*g - 5*g + 8*g**3 - 5*g**3 - 6*g**3. Let a(r) = -16*r**3 + 11*r. Let u(k) = k - 6. Let f be u(8). Give f*a(m) - 11*q(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**21)\/(p\/((p\/p**(1\/3)*p)\/p*p)*p) assuming p is positive.\nAnswer: p**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16854, -33273, -49606, -65853, -82014, -98089, -114078?\n\"Answer: 43*d**2 - 16548*d - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700)*5 - (sqrt(700) - (-1 + sqrt(700) + -5)))**2*4 - (4*(sqrt(700) + -1) + 5*3*sqrt(700)).\nAnswer: -4990*sqrt(7) + 280148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n, -5*p - 23*n + 97996 = -22*n. Is p a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 19*k**2 - 68883*k**3 - 5*k**2 - 14*k**2.\nAnswer: -68883*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11994?\nAnswer: 2, 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -53 + 18 + -1 + -17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-8)\/14*(-112)\/35*(-1260)\/96?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 504.358?\nAnswer: -2521.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f**(-1)\/f)))**18\/(f**(7\/4)\/f**(1\/4)))**(2\/89) assuming f is positive.\nAnswer: f**(-39\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 31*n**5\/60 - 17*n**3\/6 - n**2. Find the first derivative of w(t) wrt t.\nAnswer: 62*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -12 (c) 1\/24 (d) 0.4 (e) 363\/5 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -911, -1958, -3399?\nAnswer: -5234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 3*a + 3*a + a + a**3 - a**2 - 10 as r*a + i*a**2 + u + q*a**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 4*a = -2*f - 3*a - 77, 0 = 5*f - 4*a - 67 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l - 4. Let g(f) = -27*f + 143. What is g(h) - 2*k(h)?\nAnswer: -15*h + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a + 3. Suppose -12*d + 15*d = 6. Let w be g(d). Let z be 3\/(-2)*(-3 + w). Solve -3*l = 3*c + 9, 2*c + 9 = -z*l - 0*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106459157\/388 + 274379. Let t = m + 2\/97. Which is smaller: t or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313912214?\nAnswer: 2, 7, 11, 59, 34549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/((-104)\/348)*(-14)\/(-3). Let z = 318 + v. Calculate the remainder when z is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3491230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8082, -16169, -24256, -32343?\nAnswer: -40430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*k**3 - 1822*k**4 + 104*k**2 - 9*k**3 + 1844*k**4 wrt k?\nAnswer: 528*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(114)\/sqrt(3) + (sqrt(608) - (sqrt(608) + sqrt(608)*-2 + sqrt(608))))\/(1*sqrt(2)*1 - 2*(sqrt(2) - -1*sqrt(2))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from grrewvvow?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + -20)*(-4 + 1). Let r = v - 22. Sort -3, r, 12 in descending order.\nAnswer: 12, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + c + (7 + 0 - 3)*(7*c - 5*c - 6*c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8563 - 351. Let r(t) = 1082*t + 4. Let f be r(1). Let b = f - m. What is b rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 1908*m\/5 - 24466\/5.\nAnswer: -2*(m + 13)*(m + 941)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127122 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 1.07 in decreasing order.\nAnswer: 5, 1.07, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327629, -327663, -327697?\nAnswer: -327731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/24 - 8\/(-32). Let y(f) be the second derivative of 0*f**2 - 2*f + 0 - j*f**3. Let k(h) = -h. Give y(k(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -641441 + 10?\nAnswer: -641431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t + t**2 - 22*t - 3*t**2 + 17*t as j*t**2 + k*t + r and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8, -s + 2*s + l - 24 = 0. Solve 3*g + s = -7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 4*f + 4. Let o(b) be the first derivative of b**2\/2 + b + 29. Calculate n(m) - 4*o(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*y**3 - 391490*k*y**2*z + 7*k*y**2 + 2118*k + 2*y**3*z wrt z.\nAnswer: -391490*k*y**2 + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(54\/(-8) - 203\/(-29)). Solve 2*n + a = 0, -13 = -5*w - 2*n - n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y + 30528194 - 30528194.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**4\/8 + 15*s**3\/2 + 3*s**2 + 48*s. Calculate the remainder when j(-5) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 222 - 114 = 0. Does 17 divide (w + 0)*(6 + (-50)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -5 + sqrt(700) + -2)**2 - ((-4 + sqrt(35)\/sqrt(5))**2 + sqrt(56)\/sqrt(200)).\nAnswer: -1361*sqrt(7)\/5 + 2826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {k: 1, r: 3, l: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:30 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*r**2 + 23*r**2 - 115*r**2)*(-9 - r**3 + 14 - 10).\nAnswer: 171*r**5 + 855*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 n when three letters picked without replacement from tbffntdb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 554*a + 1. Let h(b) = 7*b. Determine h(u(s)).\nAnswer: -14*s**2 + 3878*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*i**3*p + 2*f**2*i**3 - f**2*i**2*p - f**2*i*q + 2*f*i**3 - 533*f*i + 1083*i**3*q + p*q with respect to q.\nAnswer: -f**2*i + 1083*i**3 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*g - 12 = 0, -23*g = 3*a - 19*g - 6. Let y be ((-43)\/a - -7)*-78. Solve 0 = 16*m - y*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/12 + (-7)\/(-3). Suppose o*z = -z. Let k = z - -8. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 2143 = 467. What is the smallest common multiple of k and 165?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -80*q**2 - 9*q - 9. Let o(r) = 7*r + 2. Let j be o(1). Let u(i) = 20*i**2 + 2*i + 2. Determine j*u(z) + 2*d(z).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, -35, -1 in descending order.\nAnswer: 4, 3, 0, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u - 28*u - u**2 + 3*u. Let j(s) = s**2 + 7*s. Let y = -23 - -30. Let z(g) = y*j(g) + 3*f(g). Suppose z(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8cd6 - 14827?\nAnswer: -9931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563017 is divided by 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*c + 3 = -3*c, 5*c = -4*y - 1. Suppose t = -8 - y. Calculate the common denominator of t\/(-48)*38\/3 and -83\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 115422361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 0*x + 3*x + 2*x + 5*x - 5*x + (0*x + 0*x + x)*(0 + 1 + 0) + 1 - 1 + x)*(0 - 19 - 1) to the form c + i*x and give i.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 12*g**4 - g**4 + 13*g**4 - 2*g**4 - 16*g**2 + 4*g**4 in the form n*g**2 + p + j*g**3 + h*g + a*g**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63638262639838 + -2?\nAnswer: 63638262639836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -776, -778, -782, -788, -796?\n\"Answer: -k**2 + k - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -155*s + 7716. Calculate m(50).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63760539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllllllllx. What is prob of picking 1 x and 2 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39.4352 * 53\nAnswer: -2090.0656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*m - 135*m - g - 25 = 0, 2*m - 160 = 5*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3237\/7 + -462. Which is the third biggest value? (a) -2\/21 (b) o (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4101\/9 + 16\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 9 = -q. Let z(b) = b + 8. Let x be z(q). What is the smallest value in -2, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -4\/3, -1\/3, -197762?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z - 1, i + 2*z - 4 = 0. Let j(v) = 87*v - 2955. Let s be j(34). Solve n + 4*p + s = 0, -i*p = 5*n + 3*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 2 r when four letters picked without replacement from smmprldrd.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1518 - 1517. Which is the nearest to q? (a) 4 (b) 3 (c) -0.371 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*y = 62 - 86, 3*u = 2*y - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c - 113. What is u(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 12*y - 4. Let o be l(4). Find the common denominator of -47\/27 and (o\/(-54)*3)\/((-2)\/(-76)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -4c?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35770)\/2044*8\/(-42) + (1 - (-1)\/1).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 42, 115, 260, 501, 862, 1367, 2040?\nAnswer: 2905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2316 and -71\/24.\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 49467*c + 8912*c - 20643*c.\nAnswer: -61198*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/3807 and 68\/651.\nAnswer: 826119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -142 + 14416121?\nAnswer: 14415646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329 - -328.7. Put y, -2\/5, 2 in ascending order.\nAnswer: -2\/5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.07, 4, -1, 0.3, 56?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/9)\/y**(-2\/13))**(3\/4))**8 assuming y is positive.\nAnswer: y**(62\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1015678, 2031306, 3046934, 4062562, 5078190?\nAnswer: 6093818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57\/11 - (-4)\/(-22). Suppose l*x - 2*x = 12. Factor 0*i**2 + 2\/7 + 4\/7*i**3 - 2\/7*i**x - 4\/7*i.\nAnswer: -2*(i - 1)**3*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 26*u + 54. Let i be k(24). Let m be 74\/(-6) - (-2)\/i. Let x(j) = j**2 + 10*j - 14. Give x(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131869\/8662 at most 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skdwsdrrskwdkrdswks. Give prob of picking 3 d and 1 r.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2691 + 1347 + a**2 - 2*a**2 + 1332)*(-3 + 3 + 5*a).\nAnswer: -5*a**3 - 60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 112\/5, 2\/15, 0, -0.1 in decreasing order.\nAnswer: 112\/5, 2\/15, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-715)\/(-1001))\/((-2)\/(-14))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 > 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3 + 3)*(4 - 3 + 2)*(81399 + 206*q**4 - 81399).\nAnswer: -1854*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(65) - ((sqrt(65)*3 - sqrt(65)) + sqrt(65))))\/(sqrt(15)\/sqrt(3)*5).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 49)*(13 + -12). Calculate the least common multiple of 2\/12 - (-424)\/g and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830291533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.19, 3, 0.619, -5, -2\/285?\nAnswer: -2\/285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519, -2071, -4655, -8271, -12919, -18599, -25311?\nAnswer: -33055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3276*n + 19658. Calculate i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 249 - -2339. What are the prime factors of i?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -33. Let v = 11 - -53. What is the remainder when v is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9157 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/4 - 595*l + 2379\/4 = 0. What is l?\nAnswer: 1, 2379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 10. Let i be u(4). Let z = 19 + -6. Let s = z + i. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/11992955 and -121\/3070.\nAnswer: 23985910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from {u: 3, i: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.092449, 14, 0.4.\nAnswer: 0.092449, 0.4, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38557\/7 + -5517. Let b(c) = c + 13. Let p be b(-21). Is x != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.422 times -2.45?\nAnswer: 1.0339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (20 + 111\/(-6) + (-1 - 3))*-4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 + 7*x**2 + 209 - 422 - 29*x**2.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000167017 to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202*b**2 + 214.\nAnswer: -404*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.24079 micrometers to centimeters.\nAnswer: 0.007724079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2408252?\nAnswer: 2, 7, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 5*y + 15. Let b be x(-7). Suppose 0 = 4*d - i - 9, -i + b = 2. Let v be 10\/(-18)*d - 6\/(-9). What is the closest to -1 in -5, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(4608) - (2*sqrt(4608) + 0) - -5*sqrt(4608)*-3) + 2)**2.\nAnswer: -6144*sqrt(2) + 1179664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-8)*(z*(z*z\/(z*z**(-4\/7)))\/z)\/z)\/(z**5)**22)**(-48) assuming z is positive.\nAnswer: z**(33408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -8\/3631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 5*m**2 + 3*m - 3. Let c be s(-3). What is the remainder when (-6)\/c + 47\/7 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*q - 0 + 8, 4*q + 2*j = 8. Suppose 5 = 2*h - 3*o, 0 = -q*h - 4*h - 4*o. Suppose -9 = i + 5*a, a = -5*i - h + 4. Solve -f + 0 = i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11582 - -11670. Let u be 6\/(-6) + -1 + 30. Let r = 3 + u. What is the remainder when a is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1237 - 0.4.\nAnswer: -0.2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -31, 3, -2 in ascending order.\nAnswer: -31, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.917 * -0.3.\nAnswer: 11.3751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 0*m. Suppose 2*z - 5*y = -21, 27 - 2 = 5*z + 3*y. Suppose c + p + 8 = -z*p, m*p = c - 20. Solve -5*g - c*q + 25 = 0, -3*q + 5 = -2*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1020991 millennia in years?\nAnswer: 102.0991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + -1 + (sqrt(75) - (sqrt(75) + -1)) - (2 + (sqrt(75) + 0 - sqrt(75)) + -3 + (0 + sqrt(75) - sqrt(75)))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 209890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(957\/(-88))*5\/40.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 37*v**3 - 137*v**2 - 167*v - 66.\nAnswer: -(v + 1)**2*(v + 2)*(v + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 - 84. Suppose 0 = i - j - 25, 10 + c = 2*i + 4*j. Let d = 48 + -34. Calculate the remainder when i is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61130381449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyj when three letters picked without replacement from {y: 2, n: 2, m: 1, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**(2\/31)*n**(4\/5)*n\/(n*n**(1\/7)*n*n*n)*n assuming n is positive.\nAnswer: n**(-4441\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15428 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5159 + 2919 = -163*i - 187*i - 10472 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -2623*x**3 + 87*x**2\/2 - 21*x + 16090. Find the second derivative of m(l) wrt l.\nAnswer: -15738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1106*j + 3. Let s(z) = -302*z**2. What is l(s(u))?\nAnswer: -334012*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4) - (-3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + u + 1. Suppose -13*y - 126 = -139. Let f(w) = -17*w**2 + 4*w + 4. Determine y*f(h) - 4*q(h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757097806 to the nearest integer?\nAnswer: 27515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8484 = 12*s - 12204. What are the prime factors of s?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + -64 + (-1 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 bigger than -95695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50.148 + 1.021\nAnswer: 51.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 197029.24 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -4. Calculate the remainder when 51 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2934*m**2 + 1511*m**2 + 1331*m**2.\nAnswer: 5776*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 4, 104, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428 is divided by 46?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3864, 0.02?\nAnswer: -3864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1911\/(-6))\/91*(-156)\/21?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -953796, -953797, -953798, -953799, -953800?\n\"Answer: -r - 953795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 6*k = 10. Solve -2*n - p - k = 0, 0*p - 12 = -4*n + 2*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (2 - (-12)\/(-8))*64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 7*z = -252. Let o = 31 - z. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195667 is divided by 1501?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*k**2 - 39*k**2 - 6*k**3 - 30*k**2 + 17*k**2.\nAnswer: -6*k**3 - 174*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 14*s**2 + 31*s + s**3 + s**2 - 36*s + 21. List the prime factors of l(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 915 = 3*z - 264. Suppose d - 5*v = -190, 0 = -2*d - 4*v + 13 - z. Calculate the common denominator of (-7)\/14 - d\/24 and -55\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10816*u**2 + 8*u + 88298?\nAnswer: -21632*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -288, -783, -1598, -2733, -4188, -5963?\n\"Answer: -160*g**2 - 15*g - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllmkfkslkmlxml. Give prob of picking 1 f, 1 l, and 2 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117858 divided by 6?\nAnswer: 19643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - 1\/(-2). Suppose -4*x = -m - 85, 4*x + 5*m - 103 = -p*m. Let f = 24 - x. Solve -q + 3 - f = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emmehmmommoomom. Give prob of picking 2 e and 2 m.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 32. Let n = -37.2 - q. Let i = n + -4.1. Which is the closest to -1? (a) 4 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 3*m**2 - m - 7. Let a(l) = l**3 + l + 1. Let p(s) = 4*a(s) + j(s). Let t be p(2). Let g = t - 2. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1489 or 90835?\nAnswer: 90835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 2*v**2 + v + 4. Let j be y(-2). What is the common denominator of (-66)\/8*(-22)\/(-9) and -3*6\/(-81) - 16\/j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 119, -2\/13, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296415 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16622 - 24\/(-40)*-5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (60 - 24) - 13?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 483747, 483752, 483759, 483768, 483779, 483792?\nAnswer: 483807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/302 and 93\/302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 0*u**3 + 0*u**2 + 3\/4*u**4 - 16*u - 17. Differentiate m(q) with respect to q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12644*b**4 + 72533 wrt b.\nAnswer: 50576*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1844729286 to the nearest integer?\nAnswer: 42950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20033 - -20035. Let l(b) = b**3 - 2*b**2 - b - 4. Let p be l(3). Solve -p*x + 1 = 3*o + 12, -9 = -m*x + o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/14*7\/2. Put d, -4, 4, 11 in increasing order.\nAnswer: -4, 4, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 6 - (-1 - 0) - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -141\/7. Let x(j) = -j - 6. Let f be x(0). Which is the second biggest value? (a) w (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -3*p - b, -4*p + 2*b + 14 = 0. What is the biggest value in -5, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h + 18. Suppose 0 = -h*f + 536 - 218. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:57 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -45 + 153. Suppose 7*v - 4*v = h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 - 2*o**2)*(o - 3 + 3) + 20747*o - 20747*o + 1587*o**3 - 3*o**3 + 2*o**2 - 2*o**2.\nAnswer: 1582*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8782 and 0.3?\nAnswer: -2634.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9197 is divided by 1149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433 - -511. Let y be (i + -89)\/(1*(-1)\/128). What is the highest common factor of y and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w + 18*w - 18 = 477 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 196.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2611 + 2611 + 926*w**2 + (w**2 + 2*w - 2*w)*(4 - 1 + 1).\nAnswer: 930*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 7*x = 2*p - 35, x - 5 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9378)\/(-2084))\/(2\/4*1). What is the nearest to -5 in 5, -3, 2, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + 461183?\nAnswer: 461222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(187) - 3*sqrt(187) - sqrt(187)) + sqrt(187) + sqrt(187))\/(sqrt(99)\/(sqrt(99)\/sqrt(11)) + sqrt(11))*-6.\nAnswer: 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -851.9996607 + 852. Round o to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 241*m - 2721 + 2721 + (5*m - 4*m + 0*m)*(-3 + 0 + 5).\nAnswer: 243*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50848 = -20*m + 13*m. Let r = -5183 + m. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, i: 1}. Give prob of picking 4 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**5 + 23*g**3 - 4660*g**2 - 68*g + 4126.\nAnswer: 20*g**3 + 138*g - 9320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 26547210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90991 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -18*m**2. Let g(u) be the third derivative of 28*u**2 + 0*u + 1\/24*u**4 + 0*u**3 + 0. What is g(f(y))?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.03 (b) 0.5 (c) -3 (d) 1 (e) -1242\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 475.036662 rounded to 1 decimal place?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 2*u + 1. Let h(k) = k**2 - 4*k + 96. Let l(d) = h(d) + 2*p(d). Let r be l(9). Solve -r*f - 3 = -14*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d3cc + -7b?\nAnswer: d351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v*v**(3\/11))*v)\/v*v)\/(v*v**36*v*v)*(v\/v**(3\/8)*v)\/v**27)**31 assuming v is positive.\nAnswer: v**(-170903\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634633770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, b: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-16)*y*y*y)\/y**31*(y*y**(2\/79))**47 assuming y is positive.\nAnswer: y**(331\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -16, -11, 1, -4 in descending order.\nAnswer: 18, 1, -4, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 37*a**2 + 2*a - 1. Let d(t) = 8*t**2. Let o be d(1). Suppose 3*l = -l - o. Is i(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-24)*45\/2. Suppose -2*s - 3*m - b = -4*m, 5*s - 5*m = -35. Let f = s - -24. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-18))**(-13)*(g*g**(-5)*g**(-2\/5))\/g**(-10) assuming g is positive.\nAnswer: g**(1198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c. Let h(x) = 758642*x. What is z(h(b))?\nAnswer: -2275926*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**4 + f**3 + f - 1. Suppose -1 = -i - 4. Let m(o) = 4*o**4 - 3*o**3 - 3*o + 5. Let b(z) = i*d(z) - m(z). Find the first derivative of b(s) wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, u: 3, s: 2, e: 2}. Give prob of sequence ue.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(2 + (-8)\/5). Let j be (-15)\/(-4) - s\/(-40). Suppose -291 = k - j*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 171 - -3?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 4*m + 4. Let b be a(-4). Suppose 26 = -2*x + b*x. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4101*q**2 + 6*q**3 - 4101*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61926, 62625, 63324?\nAnswer: 64023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -29 (c) 0.429\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -531 and -32251090.4903.\nAnswer: -32251621.4903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10420\/(5 + -3)*(-4)\/(-10). Let i = y + -6316\/3. Find the common denominator of i and -29\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/9 - 8788*n**2\/9 - 17558*n\/3 - 8776 = 0. What is n?\nAnswer: -4388, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlxfxlx. What is prob of picking 1 x and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 41. Sort p, -1\/3, 45 in decreasing order.\nAnswer: 45, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -239*k*s - 47*k*z**2 + 33*k + 4*s*z**2 wrt s?\nAnswer: -239*k + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*h - 44 - 46, -2*n = -3*h + 59. Suppose 0 = h*r - 33*r + 98. Let q(x) = x. Let v be q(3). Solve r*z + 12 = v*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 1. Suppose 4*f - u*t = -f + 191, 3*f + 3*t - 105 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 209, 4, 1891, -5 in descending order.\nAnswer: 1891, 209, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 17500*h**2 - h + 2. Let y be r(2). Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**6*w**2 - u**3*w**3 + 16*u**3*w - 270*u**2*w**3 wrt u.\nAnswer: 240*u**3*w**2 - 6*w**3 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 24*i + 10*i - 5*x - 75 = 0, i + 61 = 5*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 397 + -52. Is (192\/5)\/(46\/z) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2 + 6 + 0 - 5 + 1 - m**3. Let f(l) = 3*l**3 + 11*l**2 - 6. What is -3*f(q) - 8*x(q)?\nAnswer: -q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60621 - 60619. Factor -24\/5*s + 0 - 3\/5*s**l.\nAnswer: -3*s*(s + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:58 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 21*q - 9266 = -25*q, o - 4*q - 4615 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35898 = -11*q + 36107 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1161, -4547, -9991, -17325, -26381, -36991?\n\"Answer: 28*u**3 - 1197*u**2 + 9*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -130 + 194a909?\nAnswer: 194a789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*p = -184*p + 2. Which is smaller: 7\/22 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4151900 divided by 100?\nAnswer: -41519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i - 20. Let x(g) = -8. Let d(v) = -f(v) + 3*x(v). Let p(r) = 615*r + 165. Determine -165*d(u) - 4*p(u).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-522)\/7308)\/((-4)\/42)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 550*f**3*n + 14*f**3 - 2*f*n + 367*f - 17*n wrt n?\nAnswer: 550*f**3 - 2*f - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (15 - 23) + (7 - (1 + 0)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2796.405 kilometers to millimeters.\nAnswer: 2796405000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89916 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -137*b**2 + 613*b + 59. What is the first derivative of i(r) wrt r?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + w**2 + w. Let b(c) = 5*c**3 + 15*c**2 - 25*c - 29. Let o(u) = b(u) + 6*p(u). Let y be o(20). Is (y\/(-18))\/(2\/4328) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2\/5 - 52701*o\/5 - 1901124\/5 = 0?\nAnswer: -36, 17603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4\/3*p**2 + 0 - 4\/3*p**4 - 2\/3*p**5 + 0*p**3 + 2\/3*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 + 27 + 252)*(-1 - 3 - 8)*(2*n**2 + 5*n - 5*n).\nAnswer: -9216*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 3*c - 2*c)*(4*c**2 + 12*c**2 - 14*c**2 - 15*c) to the form n*c**3 + b*c**2 + v*c + r and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24983 and 1344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10166, 10146, 10100, 10016, 9882, 9686, 9416?\nAnswer: 9060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 28 = 3*w, -5*w - b = 4*b - 40. Suppose -4*d + 24 + 12 = 0. Suppose r - w*r = -d. Solve -7 + r = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/((-9)\/27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20239?\nAnswer: 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/11, -1601 in ascending order.\nAnswer: -1601, -2\/11, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*o - 3*o - 35 = 0, -3*g + o + 13 = 0. Suppose 15 + 138 = g*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 10*u - 7. Let x be r(5). Let c be (1\/3)\/(33\/x). What is the closest to -0.1 in 0.4, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 144665180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*l = 98, -5*u - 159 = -u + 3*l. Let v be u\/(-10) - 2 - 2. Let i(a) = a**2 + 3*a + 2. Let p be i(-2). Which is greater: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by 1.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2. Let t(k) be the first derivative of -4\/3*k**3 + 0*k**2 + 0*k - 1. Calculate t(j(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 491 = -194. What is the remainder when q is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(75) + sqrt(75) - (sqrt(48) + 2).\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 16*q**2 + 10*q + 12. Let t be y(15). Let z be 1\/3 - (-22)\/t. Is -1 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -4004?\nAnswer: -41\/4004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 1 - 1)*(181 - 511 - 207 - 958 - 966).\nAnswer: 2461*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4069004?\nAnswer: 2, 41, 43, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 1201 - 97. What is the remainder when y is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 88\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/2)\/(-3) + 29610\/(-940)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w - 14*w + 6*w + 4*w**2 + 5. Let q be b(8). Suppose 3*h + q = 6*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*h - 551*h + 60 = z - 1086*h, 4*h = 3*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u + 59*u = 113*u + 16 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 7*s + 10. Let m be z(-8). Let b = -23 + m. Let j(f) = f**2 - f + 9. Does 14 divide j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1.7, 0.4, -5\/2, 72, 0.2, 6 in descending order.\nAnswer: 72, 6, 1.7, 0.4, 0.2, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69033\/5 or 13807?\nAnswer: 13807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = 3*u + 95, 3*p = 3*u + 87. Let i = u - -43. What is the highest common factor of 12 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653*w**3 - 824*w**2 + 210*w**2 + 204*w**2 + 204*w**2 + 206*w**2.\nAnswer: 653*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:13 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 5*k**3\/3 - k**2\/2 - 2. Let b(y) = -y + 422 - 4*y + 6*y - 423 - 9*y**2. Suppose h + 5 + 0 = 0. Calculate h*c(d) - 3*b(d).\nAnswer: 2*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-3)\/1*(-21)\/9. Let z(v) be the third derivative of 0*v**3 + 1\/105*v**7 - 1\/10*v**5 + 0 + 0*v + 0*v**6 + 6*v**2 - 1\/6*v**f. Factor z(l).\nAnswer: 2*l*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 26 = 4*h, -7*s + 3*s + 4*h = -32. Find the second derivative of -t - s*t**4 + t**4 - t wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 69*f**2 + 3*f - 87. Is s(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11111 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-159)\/371 + (-6)\/(-63)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 106979673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.243 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5302759, 10605514, 15908269, 21211024, 26513779, 31816534?\n\"Answer: 5302755*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-332)*(2 + 0). Let z be 1\/(((-104)\/(-13) - 2)*(-1)\/6). Which is greater: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + i - 1387 = 898, 3*q - 6851 = -2*i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/4)\/(54\/(-72))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858331772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21 - (-451)\/(-22))\/((-2)\/(8\/(-3))). Put 83, n, 1\/2 in ascending order.\nAnswer: 1\/2, n, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 21. Let x be z(14). Let w(c) = -10*c**2 + 4*c - 4 + 26*c**2 + x*c**2. What are the prime factors of w(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*27\/(-6) + -1. Let i = f - -15. Solve 0 = i*x - u + 20, -x + 2*x - u + 8 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 8*k + 5. Calculate m(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**2 + 14*c + 3. Let h be u(-9). What is h rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4924 = 47881. Let k = d - 5522. Suppose 3*g = 4*r - k, 2*r + 0*g - 4*g - 2522 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p. Suppose 5*b = p, t - 5*b = 5*t + 120. Round t to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + g - 4, 3 = -5*c + 4*g + 13. Solve c*x - 4*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9b93 (base 12) to base 10\nAnswer: -17247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 50. Let n(y) = -3*y - 199. Let x(k) = 2*n(k) + 9*p(k). Let c be x(-16). Solve -3*g = -c*u - 7, 4*g - 5 = -u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -73, -91, -127, -187, -277?\n\"Answer: -c**3 + c - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 - (-11050)\/51. What is the highest common factor of 48 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150292.0067377 + 150292. What is w rounded to 4 decimal places?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 6*i**3 - 4*i**3 + 2*i - i**4 + 3*i**4 in the form q + m*i + d*i**3 + l*i**4 + v*i**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3382216865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-10) + 2\/(-4). Solve 3*o + 2*x = -17 + f, 2*o - 4*x = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 5. Determine d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91236.99 millilitres in litres?\nAnswer: 91.23699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-70)\/15 - 4\/(-6). Let r = -5 - o. Let b(s) = -s. Let x(t) = 7*t - 17*t + 4 - 2. What is r*x(q) + 12*b(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-25)*r\/((r\/(r*r**(-1\/10)))\/r*r)*r*r**15*r*r\/r**(-2\/3))**(-13) assuming r is positive.\nAnswer: r**(-17771\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5151.\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 12, 23, 38, 57, 80, 107?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144237 + 237920. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.961864 minus 1?\nAnswer: -14.961864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 - -2.19987. What is d rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*l - 20, 35 = l + l - 5*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*k + 4*u, -5*k + 4*u = -53 - 34. Let f = k - -45. What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2922304 divided by -98.\nAnswer: -208736\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47145 and 42.\nAnswer: 94290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0 - 3*k)*(-1 + 284 + 17).\nAnswer: -900*k + 600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*f + 28, 59*f - 98 = 5*s + 61*f. Suppose 9 = 3*g + 2*m, -g - 4*g - 4*m = -13. Put s, -1, g, 1 in ascending order.\nAnswer: s, -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-924)\/8778 + 2*82\/114. Suppose -r*s**2 + 0 + 4\/3*s = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/5)\/((-24)\/(-240)). Let k be (-2)\/3 - 105\/(-9). Let a = k + -9. Solve -a*m - 2*b + 7*b = r, -3*b = -5*m - 31 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1367883 * -5\nAnswer: 6839415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in 3\/23, -0.04, -0.8, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 45697516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-21))\/(8976\/(-3366))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h - 3. Suppose w - 2 = -w + 2*z, 0 = -3*z + 9. Suppose 5*r = w*u - 17, -2 = -2*u + r + 5. Calculate the remainder when i(u) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-16)*-6)\/(9\/24). Suppose -4*r + 0*r = -20, -5*w + 5*r - 5 = 0. Suppose 0 = d*m - w*m + 8. Solve -h + m = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -52. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.5 - 1.5. Let d = -3 + o. Let u = d + 0. What is the closest to -1\/4 in -1\/2, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49686 and 218010?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*k + 0*k - 20 = 0, -5*a + 12 = -3*k. Calculate the greatest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451892?\nAnswer: 2, 7, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2 + 87484*u + 956681282 = 0. Calculate u.\nAnswer: -21871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 + 2*t**2 + 2*t. Let c = -42 - -45. Suppose 4*u - 5*r = -1 + c, 7 = -u + 5*r. Is z(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -1026.137\nAnswer: 1025.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 3 + 0*y**2 - 4*y + y)*(27 + 2*y - 27).\nAnswer: -2*y**3 - 6*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51781 or 51635?\nAnswer: 51781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 + -2 + 18 + 0 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/4 + 36*b**3 + 941*b**2\/4 - 1233*b\/2 = 0 for b.\nAnswer: -137, -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -185*v - 175*v + 5 + 366*v. Let i(j) be the first derivative of 17*j**2\/2 + 14*j - 3. Give -4*i(k) + 11*t(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 50, 72, 74, 50, -6, -100?\n\"Answer: -g**3 - g**2 + 46*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-70)*448\/560?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (20 - 5 - 25).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**3 - 3*b**2 - 4912849 - b**2 - 2*b + 4912850 in the form z*b**3 + s*b**2 + k + h*b and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 265*g - 30 = 2*m + 268*g, -4*g + 0*g + 3 = -m + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15*b**2 + b. Let q(k) = 8*k**2 - 24*k + 25. Let a(l) = q(l) + w(l). Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 168699, 337395, 506091?\n\"Answer: 168696*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -443\nAnswer: -5\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65839, -65834, -65829, -65824?\nAnswer: -65819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153858 is divided by 95?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*n**3*p**3 - i*n - 34*i*p**3 - 3*n**4*p**3 - 189*n**3 - 8*n**2*p**2 + 2*n**2*p wrt n.\nAnswer: -12*i*p**3 - 72*n*p**3 - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pws when three letters picked without replacement from {p: 1, s: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 237278 (base 11) to base 4\nAnswer: 1123231311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*y - 217*y - 135*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 16, -3\/5, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*q + 4, -3*q - d = -0*d - 1. Solve 3*x - x - 4 = q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -22001221?\nAnswer: -22002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 12078\/40871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2139926, 2139977, 2140062, 2140181, 2140334, 2140521?\n\"Answer: 17*a**2 + 2139909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 664, 25, -1078, -2645, -4676, -7171?\n\"Answer: -232*s**2 + 57*s + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 - 5 = -4*y, d = -y. Suppose r + 0*r - 2 = 0. Let n(h) = 4*h + 15. Let x(s) = -s - 5. Let q(t) = r*n(t) + 7*x(t). Give q(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l. Let g(f) = -30*f. Let k(o) = -6*g(o) + 13*n(o). Suppose -5*t - 4*v + 18 = 52, 0 = 2*t - v + 24. Let x = 7 + t. Give k(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-3 + -3 - 1) + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 942*c**4 - c**3\/3 - 304*c**2 + 7*c + 11172. Find the third derivative of w(r) wrt r.\nAnswer: 22608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t - 26. Let h be r(5). Calculate the greatest common divisor of h and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*f + 33, -7*m - 3*f = -2*m - 21. Suppose -4*j + 2*l + m = -l, 3*j - 7 = l. Let p = -1 + j. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 342 + -220. What is the second derivative of -a*d**2 - 3*d - 43 + 2*d - 53*d**2 + 0*d wrt d?\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12174*o**3 + 2*o**2 - 4900.\nAnswer: 73044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43858944 - -0.119?\nAnswer: -43858943.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 + 3 + -3 - 2 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*f**4 + 43 - 27*f**4 + 13 - 19 wrt f?\nAnswer: -188*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {t: 1, r: 1, f: 1, a: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6438257298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9929, -40226, -90883, -161900?\nAnswer: -253277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -485*j - 1139. Let q be c(-3). What is the greatest common factor of 1106 and q?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3136 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-18) - (-212)\/6. Suppose -6*c + c = k. Let r(o) = 6 - 419*o - 423*o + 840*o. Let j(h) = -2*h + 5. What is c*j(l) + 6*r(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {t: 1, l: 1, i: 2, z: 2, w: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*u**2 + 5 - 62*u**2 + 5)*(u - 9*u - 3*u) to the form r + h*u**2 + o*u + m*u**3 and give m.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = 4*v - v + 5*t, 5*v + 860 = -3*t. Let p = v + 193. Solve -5*n - 26 = s - 4*s, 3*n + p = 3*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5990249*j**2 - 3918412 wrt j?\nAnswer: 11980498*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccc. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 - 9*z**2\/5 + 3*z - 7\/5.\nAnswer: (z - 7)*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 4*c + c**3)*(5 + 3 - 1)*(1 - 1 + 1) in the form x*c + v*c**3 + w*c**2 + s and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7005, 7047, 7133, 7275, 7485, 7775, 8157?\n\"Answer: 2*q**3 + 10*q**2 - 2*q + 6995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17754 - 16928. Calculate the greatest common factor of z and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182.3 - 182. Suppose 0 = 3*y + 9. What is the second smallest value in y, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*sqrt(153).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/8 + t**3\/6 + 7*t**2 - 15*t. Let g(r) be the first derivative of y(r). What is g(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Let u(r) = 28 - 13*r + 19*r - 9*r - 26. Calculate u(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g = 73*g - 24. Is -3 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-219*g**3 - 451*g**3 + 2015*g**3)*(-5*g - 3*g - 4*g) to r*g + w*g**2 + z*g**4 + m + l*g**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noooovovnvnnnsvvo. Give prob of sequence vv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -1 (b) 0.0139 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - -5. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5318927 != -5318909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41792, -167118, -376010, -668468, -1044492, -1504082?\nAnswer: -2047238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/7 - 343006*c\/7 - 343005\/7 = 0 for c.\nAnswer: -343005, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 535943 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3 = 8. Solve 4*j + j - h = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -5*y**4\/4 - 8*y**2 + 17. What is the second derivative of u(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -29. Let b be (1 - 1) + -29 - -1. Let k be (35\/b)\/(2\/8). What is the smallest value in -1\/10, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*m + 12 = 0, -j + 25*m = 30*m + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3823*s**3 + 6*s**2 + 9*s - 13. Let o be y(-13). Suppose -q = -t + 4*t - o, 4*t = q - 8399980. Round q to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*z - 42822 = -111*z. List the prime factors of z.\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + q = -0*c - 1, 3*c - 2 = q. Is (c\/(-3))\/(6\/6786) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101110000001011001 (base 2) to base 3.\nAnswer: -211220011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 8*w**2 + 225*w - 316. Determine x(19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 32. Calculate the common denominator of (-1)\/r*369\/6 and 9\/2 - (-1)\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -416 + 235. Let s = r + 181.2. What is the third smallest value in 2\/13, 5\/3, s, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -72*t**3 + 227*t**2 + 457*t - 10. Determine o(-2).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322817659?\nAnswer: 322817659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30441 (base 14) in base 7?\nAnswer: 662311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeezizeiiiizjiz. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 399 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8575 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.508 - 0.508. Let m = 78 - 75. What is the nearest to u in -5, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/12 - 7\/(-42). Suppose 4*c + 4 = -s*c, -2*c + 54 = 4*z. What is the remainder when 25 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*t = -33, 4*c + 7*t - 2*t + 63 = 0. Let n be (c\/9)\/((-3)\/9). Solve -5 + 1 = -n*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.0388?\nAnswer: 0.0388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3725109.6 - 0.212\nAnswer: 3725109.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d**(-3)*d))**(-44)*(d**(2\/3)\/d**(1\/3))**(-2\/51) assuming d is positive.\nAnswer: d**(-53858\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239808 - 239813. Let a(u) = -3*u - 2*u - u. Let m(d) = 13*d. Calculate n*a(j) - 2*m(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 1 (c) 524\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/4 - 51*q**2\/4 - 45*q\/2.\nAnswer: -3*q*(q + 2)*(q + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 787*w**4\/4 + w**3 - 19*w**2\/2 + 14*w + 7. Let r be f(6). Round r to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109855 - -192612. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4.075223*-0.058\nAnswer: 0.236362934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 + -60. Let x = -325.999999172 - c. What is x rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16356430, 32712861, 49069292?\n\"Answer: 16356431*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Let f = -21.5 - -22. Let z = 2 + -3. What is the third smallest value in z, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72707587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (1 - -29) + (-47 - -1 - -46).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3827 by -3.\nAnswer: 3827\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 2*b - 6*b**2 + 2*b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4566*v + 13664*v - 4546*v - 4553*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 + 5 + 5 - 10 - 3*x**3 - 14*x**2 - x to m*x**3 + q*x**4 + r*x**2 + c*x + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 1172\/7. Which is bigger: l or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Suppose -4*g = -3*m + 674, -m + g + 222 = -p*g. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 7*l - 4*l)*(-4407*l + l**4 + 4412*l - 7*l**4).\nAnswer: -12*l**5 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -35 - (5 - -3) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:51 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, z: 5, v: 1, o: 2, y: 2, a: 4}. Give prob of sequence ovyy.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + s + (-4*s + s + 5*s)*(0 + 4 - 6) - 30*s + 52 - 52 + 3*s - 4*s - s + (-2*s + 3*s - 4*s)*(-1 - 1 + 0).\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 10 + (-9 + 9 - 8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -16718?\nAnswer: -16716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o + 43. Let z be 0 + (-3 - (-8 + -3)). Is w(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-134 - (-1 + -25) - -13).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 + 0 = 0. Let l = -1 + 1. Let w be 10 + -2 - l\/(-2). Solve -5*v - s - p = w, 16 = -2*v + 2*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Let d = g + -2. List the prime factors of 1 + -3 - (-12 - d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.120050782 take away -4?\nAnswer: -12.120050782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228082194?\nAnswer: 2, 3, 19, 251, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -0.361108.\nAnswer: -0.261108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from zrvrvzrvrrvrfvfvvr.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/21)\/(33\/77)*81\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i = -19*i - 6480. Let p = i + -371. Is p a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p - 45*p - 46 = -x, -5*x - 5*p = -230. What is the remainder when x is divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Suppose -k*a = 12, v - 133 = a - 42. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2. Let a(j) = 3*j + 319. What is a(f(n))?\nAnswer: -15*n**2 + 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 1. Let p(g) = -7*g - 45. Calculate 3*b(d) - p(d).\nAnswer: d + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3, 4, -3 in increasing order.\nAnswer: -3, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/2309, -2\/15, -3, -1\/2?\nAnswer: 4\/2309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 217*w**4\/24 + 3*w**2\/2 + 5*w + 2. Let u(q) be the first derivative of n(q). Let k(g) = -9*g. Calculate 49*k(r) + 2*u(r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 114969 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.1. Suppose -522*t + 930*t - 30192 = 0. What is the smallest value in 2\/9, 1\/2, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 199, -0.2, -1\/4, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1736 - 1741. Which is the third smallest value? (a) 97 (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 + 0*b**4 + 0*b**2 + 1\/6*b**3 - 1\/20*b**5 - 2*b. Factor y(v).\nAnswer: -v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-4 - -7 - (2 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -5, 7\/3, 0.034?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 10) + -11 + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + (-2 - -1))*1. Suppose -u = -3*w, 0*w + 2*w + u = 0. Suppose -3*t = -q - 6, w*q + q + 4 = 2*t. Solve 3 = h + 3*p - t*p, p - 6 = -g*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055 a factor of 70657234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, d: 1, k: 4, z: 3, f: 1, q: 3}. What is prob of picking 3 i?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7099290 divided by 2222?\nAnswer: 3195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2455, -9754, -21897, -38866, -60643, -87210, -118549, -154642?\nAnswer: -195471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 24*u**2 - 290*u + 12. Let p be k(14). Calculate the highest common divisor of 112 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -154. Let a = -4 + 0. Let y(h) = -h**2 + 6*h + 2. Let l(p) = -p**2 + 5*p + 2. Let z(s) = a*l(s) + 3*y(s). Determine z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Solve -7*y = 13*y - 40 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.907 - 0.093. Let h = t + 8.0117. What is h rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 14 = 2. Let r be f\/(-7)*(-70)\/(-4). Suppose 0 = -2*y - 5*c + 49, -3*c + 17 = y - r. Calculate the highest common factor of y and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177 and 3472032.\nAnswer: 3472032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*r - 0*v + 3*v, -2*r = 3*v + 11. Let m(j) = j**3 - 3*j + 2. Let c be (6\/(-4))\/(6\/(-8)). Let h be m(c). Solve -r = -h*n - 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -20*f - 117. Let s be n(-6). Suppose -4*a + 5*q = -25 + 4, 0 = s*a - 3*q - 15. Let -1\/2*g**2 + g**3 + 0 + 1\/2*g**a - g = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 18 = 0. Is n bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/163, 144993, 0.1 in decreasing order.\nAnswer: 144993, 0.1, -4\/163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4790 and 1533758.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:26 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24*((-184)\/276)\/((-4)\/(-3)). Let t(o) be the first derivative of o**4\/4 + 4*o**3 - 4*o**2 - 10*o - 1. Is 19 a factor of t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 1929?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 200, 330, 496, 710, 984, 1330?\n\"Answer: 2*y**3 + 92*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 q when three letters picked without replacement from {u: 3, i: 5, q: 11, e: 1}?\nAnswer: 55\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5013751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - -3*sqrt(68)*-2) - sqrt(68))\/(sqrt(4) - 2*sqrt(64)) + 1*sqrt(51)\/((sqrt(960) - sqrt(15))\/sqrt(5)).\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-42))\/((-2)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.2 - -26.638. Let x = -0.083 - -0.045. Let u = f + x. Put -1, 0.3, u, 2 in increasing order.\nAnswer: -1, 0.3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 20 = -4*x + 49*q, -3*x + 15 = 4*q. Let i = 2 - -2. Solve -i = -x*w - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111113689?\nAnswer: 111113689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 314099558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/13))**3*j*j\/j**(1\/44)*j**(-21))**(7\/4) assuming j is positive.\nAnswer: j**(-78015\/2288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/3 + (-135)\/81. Solve 2\/7*u**4 - 2\/7*u - 2\/7*u**2 + f + 2\/7*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7759 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734585943 divided by 1643369.\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((108\/(-2997))\/(-4))\/(2\/(-3)))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/23, 4, -120, 0.2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 0)\/(3\/(-3)). Suppose -4*n - l = n. Let v be (-1)\/(-2)*1*8. Which is the third smallest value? (a) v (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 4)\/(-1 + -1). Factor b*a + 8 + 3*a**2 - 8.\nAnswer: 3*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 8:30 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - 231*w**2 - 237*w - 674. Let m be o(-76). Suppose 0 = 3*v - 123 - 357. What is the greatest common factor of m and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*b**2*k + 17093*b*k**2 + b*k - k**2 - 4987*k + 13 wrt b.\nAnswer: 24*b*k + 17093*k**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1812187 - 3*a + 1812187.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - ((sqrt(121)*1 - sqrt(121)) + sqrt(121)))\/sqrt(11) - 1*(sqrt(11) + sqrt(176) + sqrt(11)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 2, j: 3, y: 3, n: 1}. What is prob of sequence yyjh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/14 and 1\/566410?\nAnswer: 3964870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578 divided by -7415?\nAnswer: -1578\/7415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5962 and 12914.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*t + 16*a = 406*t - 14, -2*t + 4*a = -20 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26267 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19962630 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1011\/5 + 202. Is c at most as big as -1.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.3, 0.235, -0.5 in decreasing order.\nAnswer: 0.235, 1\/5, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-4) + (-125)\/(-25).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 10 = -10*t. Let f(z) = -4*z - z**2 - t*z + 3*z + 0*z. Let p be f(-5). Is p < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1301823 divided by -7\nAnswer: 1301823\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**2 + 18*s + 35. Determine h(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-36))\/(60\/550*5).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*c + 77. What is the remainder when 335 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2 - 222*s - 1404 = 0?\nAnswer: -6, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 5*c + 4. Let r be z(-5). Let n = 148 - 145. Suppose 3*a - 3*k + 7 = 1, -n*a + 5*k - 10 = 0. Put r, a, 7 in increasing order.\nAnswer: a, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 1233060*u.\nAnswer: 3*u*(u - 411020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 213*u**2 + 2*u. Let d(b) = 77*b**2. Give g(d(k)).\nAnswer: 1262877*k**4 + 154*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19151?\nAnswer: 11, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/600 - 59*k**5\/50 + 47*k**4\/8 - 176*k**3\/15 + 204*k**2. Factor h(u).\nAnswer: (u - 352)*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**2 + 2*n**4 + 0*n**2 - 6*n**2 wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 347, 1, -1, -380, 3 in ascending order.\nAnswer: -380, -1, 1, 3, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 275, -2, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*q = -26, 272637*z - 34*q = 272635*z - 372 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*(-18)\/(-45).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 15*t**2 - 2*t + 740. Determine n(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/5 - 19651142*k\/5 + 39302288\/5 = 0. Calculate k.\nAnswer: -19651144, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxssszsuzzszzszobzbz. What is prob of sequence sz?\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 76.62496cm?\nAnswer: 0.7662496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001 (base 2) to base 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 25*u - 11. Is 7 a factor of d(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c**(4\/7)\/c*c)\/c)**21*(c\/c**(-7))\/(c*c*c\/c**(-16)) assuming c is positive.\nAnswer: c**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -3, 9 in increasing order.\nAnswer: -4, -3, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*s = -4*u, -4*u + 1 = -5*s. Sort 0.136, -2\/9, u in descending order.\nAnswer: 0.136, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -92. Let w be l\/30*6\/(-20). Let y = -0.5252 - -0.0252. What is the closest to -0.1 in w, y, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 + 17*k**2 + 10*k**2 + 19*k**2 - 68*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 - 3*l - 2. Let c be x(4). Let h be (-1)\/(-1 + c\/4). Solve 3*p + 4 = -h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57390 + -57389.8. Let q(w) = 18*w + 2*w - 6*w. Let x be q(-1). Sort 2\/9, v, x.\nAnswer: x, v, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/30*126\/(-28)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 217*z + 10484. What is j(-49)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3732420 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 916 = 3*m, 90*m - 89*m = 0. What are the prime factors of f?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 2113*b**2 - 144551*b\/2 + 615570.\nAnswer: (b - 17)**2*(b + 4260)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 714 - 34*n - 714 - 68*n**2 wrt n?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 329*n**2*s**3 + 5*n**2 + 663*s**5 - 3*s**4 - 3*s**2 - 6*s + 9182 wrt s.\nAnswer: 1974*n**2 + 39780*s**2 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4066.\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 9*n**2 + 9*n - 10. Let j be k(8). Let f be (-3 - -3)\/(2\/j). Suppose -3*b - m + 26 = -0*m, -2*b + 5*m + 23 = f. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 14*t - 99. Calculate z(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - f + 11. Let d(m) = -2*m**3 + m**2 + m. Let s be d(-1). Suppose 6*r - s*r + 20 = 0. What is the hundreds digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 43 = -29. Let p be (-45)\/k*4\/(-10). Let l be 15 - (p + (-6)\/(-3)). Solve -2*q + l = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40*(-4)\/48)\/(4\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83051603?\nAnswer: 19, 4371137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 138 in descending order.\nAnswer: 138, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3475 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2367572962.14 - 240.\nAnswer: -2367573202.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*v + 4*v - 16, -4*t + 3*v + 10 = 0. Suppose t*u - 160 = -12. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -13) + 0 + (15 - (10 - 10))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -142*w**2\/23 + 1428*w\/23 - 80\/23.\nAnswer: -2*(w - 10)*(71*w - 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -74, 1, -3 in ascending order.\nAnswer: -74, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 83*o + 1250. Give g(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/252 and -37\/1524.\nAnswer: 32004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 0. Let m(p) = 49*p**2 + 3*p + 2. Is m(o) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4 - a**3*h**2 + 82*a**3 - 161*a**2 + a*h - 22*h**2 wrt a.\nAnswer: 48*a - 6*h**2 + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -18, -54, -126, -246, -426, -678?\n\"Answer: -2*h**3 + 2*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**2 + 11*a**2 + 2*a**2 - 2*a**2 - 3*a**2 + 3*a**2 + (-4 + 2*a + 4)*(-5*a + 3 - 3).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*j**3 + 1115*j**2 - 10008*j - 324.\nAnswer: -(j - 18)**2*(31*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -20 + (-15 - -14) + -2 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Suppose 0 = -n*j + s + 20, j = -0*j - 4*s - 8. Suppose -18 = -2*d + j. 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 the next term in 429, 2716, 6533, 11880, 18757, 27164?\nAnswer: 37101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11067)\/(-1302))\/((-9)\/(45\/(-10))).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2400 is divided by 220?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 93 = 3*v, -w = 3*w + 5*v - 197. Let h = 67 - w. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2046 - 2045. Suppose 0 = -2*u - 3*u + 5*l + 10, -5*u + 2 = -3*l. Let w be u\/(-2)*1*-1. Sort w, -4, m in increasing order.\nAnswer: -4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1914528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 30 = 17*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -90*s - 2. What is the units digit of o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {i: 13, k: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158816400 to the nearest integer?\nAnswer: 12602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (25\/(-10))\/((-6)\/12). Let f be ((-100)\/30)\/(2\/(-3)). Let r = f + -5. Solve -2*k - 2*i + 0 - 6 = r, 0 = -n*k - 4*i - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938883811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1518 and -41\/264.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4466, 4475, 4492, 4517, 4550?\nAnswer: 4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -20*b**4 + 132*b**3 + 336*b**2 - 848*b - 384 = 0?\nAnswer: -3, -2\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221223 (base 4) to base 2.\nAnswer: 1101001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9760 in -0.2, -12, -3, -2\/25?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.2 - -33.78. What is the second smallest value in 2, j, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 18463*g + 479869\/2.\nAnswer: (g - 36913)*(g - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + k - 3. Calculate x(-5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -0.097453929, 1, 0.4, 2\/21?\nAnswer: -0.097453929","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 440.765444 to the nearest integer.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84441 is divided by 3123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 + 2 = 0. What is the biggest value in z, 0.3, -0.4, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93102.\nAnswer: 2, 3, 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(8670\/(-221)))\/((-16)\/960)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480100 rounded to the nearest 10000?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*b - b + 224, 0 = 5*w - 3*b - 273. Let j = -135 + -15. Calculate the remainder when w is divided by -2*1*j\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4590111.00129 - 4589948. Let k = 163 - y. Round k to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -j + 63476, 315*z + 21154 = 316*z - 2*j. List the prime factors of z.\nAnswer: 2, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 12:18 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12795, -51181, -115161, -204735, -319903?\nAnswer: -460665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**10\/75600 + x**8\/3360 - x**7\/1260 + x**5\/30 - 7*x**2. Let b(k) be the third derivative of r(k). Factor b(i).\nAnswer: -2*i*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 1)*69\/12. Let t = 16 - p. Let n(d) = -d**2 - 6*d + 8. Let f be n(t). What is the third biggest value in -3, -4\/3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76149 is divided by 146.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (8 + -4) - -5) + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 100. Suppose -11*z = -6*z + b. What is the units digit of 5\/(z\/3) + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 390 = 6*u. Let z = u + -15. Let v = z - -191. What is the highest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417 a factor of 112535306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 4 + (4 - 6 + 4)*(-1 + 3 - 1))*(-1793 + 24*k**2 + 989 - 23*k**2) in the form a + y*k**2 + o*k and give a.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3501647 (base 9) to base 6.\nAnswer: 104305454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -10*k + 41. Suppose 42 = 4*b + 2*u, -b + 2*u + 5 = -3*u. Solve 2*f = -4*q - 0*q + b, 4*q + k = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q**3 + 4*q**2 - 5*q + 13. Is x(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -391 (b) -86\/5 (c) -13 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose -6*l + v*l = 15. What is the common denominator of ((-66)\/l)\/(16\/30) and 79\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 - 2*k - 4. Let u be p(-5). Let a(y) = 4*y - 48. Let o be a(12). Suppose o = 2*n - u*n. Let x(t) = t**2 + 4. Calculate x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**13)**(-35)\/(d**(-2)\/d**(-2\/3)))**(2\/103) assuming d is positive.\nAnswer: d**(-2722\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140.087 - 5466.613. Round a to the nearest ten.\nAnswer: -5610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (11 - (-7 + 18) - (3 - 1))) + -62.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/35*1\/(-5)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -340 + 272. Let p = f + 135\/2. Which is smaller: -7\/4 or p?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -4\/5, -2, -10 in decreasing order.\nAnswer: 3, -4\/5, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7299 and 2558930.\nAnswer: 2551631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 79509400, 79509402, 79509404, 79509406?\n\"Answer: 2*z + 79509398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 2. Let v(t) = t + 4. Suppose 4*x + 68 = -4*l, 0 = -4*l + 3*x - 4*x - 71. Let k = -24 - l. Let p be v(k). Give f(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 5*i + 3*k - 2, 3*k = -3*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**8\/14 + 11*f**4\/12 - 10*f. Find the third derivative of d(b) wrt b.\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 13*d**2 - 22*d - 12. Let n be f(-15). Let o = -922\/7 - n. Which is the nearest to 0.3? (a) 2\/9 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/5 - 178*h**4\/5 - 928*h**3 - 5760*h**2.\nAnswer: -2*h**2*(h + 9)*(h + 40)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, u: 3}. Give prob of picking 1 u and 3 w.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 + 42*v**2 - 41*v + 46. Let x be d(20). Let q be -1 + (-369)\/(-3)*1. Suppose q = -x*m + 27*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5 = n, -r + n + 2 = -6*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 12*n**2 - 11*n - 14. Let a = -172 - -166. What is the remainder when b(a) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 18 + 2)*(-o + 0 + 0) - 3 + 3 + o + 5*o - o - 5*o.\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxxq when four letters picked without replacement from {x: 5, g: 4, m: 9, q: 1, s: 1}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 + 396 = -5*s - 3*a, -5*s - 255 = 5*a. Let r = 124 + s. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322769*l**2 - 517 + 517.\nAnswer: 322769*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -4, 2, 51 in increasing order.\nAnswer: -4, 4\/7, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191752487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6868 and 39046.\nAnswer: 32178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 369 and 6030.\nAnswer: 247230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -0.13321\nAnswer: -0.23321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*i - 22, -8*i + 3*i = -u - 11. Let q be (-1 + 2)*(-44)\/u. Which is smaller: -12 or q?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 22. Suppose -x*c = -u + 11, -c = -2*u - 2 - 1. What are the prime factors of (u - (-3)\/6)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18486 and -0.6?\nAnswer: 11091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 4. Let s = 0.1 - 0.2. Let w = -5.185457 + 0.185457. What is the nearest to s in -1\/6, b, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 12. Suppose j*y = -0 + 2. Which is smaller: y or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1100, -4264, -9520, -16850, -26236, -37660, -51104?\nAnswer: -66550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-38))\/((-28)\/((-1680)\/(-120)))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjicitjyitttt. Give prob of picking 2 t.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -714)*((-42)\/(-12) + -3)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-3)*(-45)\/12. Suppose w - 16 = s. Suppose -s*z + 273 = -2*z. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*w + 10 = 0, -2*p - 14 = 4*w + 2. What is the tens digit of ((-112)\/(-21))\/p*-702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 less than 359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 9*w**2 + 13*w - 9. Let x be y(-7). Let l be (1\/(-2))\/(64\/512). Which is the nearest to x? (a) -1 (b) l (c) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31697 divided by 1.\nAnswer: 31697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**3 - 2*n**2 + 3*n + 3. Let w be l(3). Let a = w - 97. Let y = 17 + a. What is the greatest common divisor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16001 - 4640. Calculate the greatest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717955329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 3*m**2 + m - 1. Let o be w(2). Let h(g) be the third derivative of g**6\/120 - g**5\/15 - g**4\/4 + g**3\/3 - 4*g**2. Determine h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2 - 2)*(5 - 3 + 1).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 314477.1 micrometers?\nAnswer: 314.4771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2949*t - 1020*t - 1170 = 912*t + 900*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 3 = -7*d. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -506 less than or equal to -507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/194? (a) -0.7 (b) 3 (c) 4\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.5, 4, 0, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 20*a + 18. Let u be i(-14). Put 5, u, -0.1, -2 in increasing order.\nAnswer: u, -2, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/48, -5, -0.4?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 5*l**2 - 6*l - 6. Let k be -1 + 0 - 0 - 3. Let m be a(k). Differentiate 3 + 2 - v**m - 6 + 2 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d = -44*d + 11120. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.90784 minutes in days?\nAnswer: 0.024936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*(-1*sqrt(99) - sqrt(99)))\/((sqrt(72) - sqrt(72)*-2)\/sqrt(8)) + ((sqrt(264)\/sqrt(300))\/sqrt(2) + 5)**2).\nAnswer: -1908\/25 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596317 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 134 times -0.34\nAnswer: -45.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010110101 (base 2) to base 16.\nAnswer: -ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k**(-3))**(-7\/13) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 622 + -633 - (-21 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -73108425 < -73108423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698*v**2 + 349*v**2 + 335*v + 339*v**2.\nAnswer: -10*v**2 + 335*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**3 + 4576*h**2 + 1155348*h - 90175032 = 0?\nAnswer: -603, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.7 + -5. Let w = 3\/54452 - -163341\/272260. Which is the closest to 4\/7? (a) f (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 1843?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6657, 8383, 10107, 11829, 13549, 15267?\n\"Answer: -y**2 + 1729*y + 4929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2743 - -2755. Let g = 23 + -22.5. What is the nearest to 0.1 in 2, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.15 and -4?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s. Let c(p) be the third derivative of p**6\/40 - p**4\/8 - p**3\/6 - 8*p**2. Calculate -2*c(r) + 5*n(r).\nAnswer: -r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.99 - 0.01. Let y = r + 3. What is the closest to 1 in -0.4, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sksscccycucysy. Give prob of sequence kucy.\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 26. Let s = l - 9. Which is the nearest to 1? (a) 0 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28919193?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - k + 49018585 = 0, 0 = -4*a + 4*k - 10593620 - 54764504. Let i = 23439527 + a. What is i rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) - 1*48\/21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.366 + 0.3660031644. Round v to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w**2 - 68899*w - 19686.\nAnswer: (w - 9843)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 487121 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2658962?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 >= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 83 = n + c, 0 = 4*n - c - 317. Suppose 0*k + n = 10*k. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -220 - 5?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72.5 + 65. Let x = h + 10.5. Sort 1\/6, x, 0.2.\nAnswer: 1\/6, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5736*f**6 + f**2 + 2*f - 739?\nAnswer: -688320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4014 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 335*-0.4\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5498 - 4*c - 5498 + 6*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - -1 - (-170 + 168).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-2)\/(-1)) + 7. Solve 0 = -n - y*r - 3, 2*n + 3*r = 2 - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -0.32711\nAnswer: 0.17289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*t + 15012 + 9692, 0 = 4*t - 3*b - 19757. Is 38 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(((-18)\/(-90))\/(12\/(-100))))\/(315\/(-3850)).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j*j**1\/j)\/j)**(-20))**(-24) assuming j is positive.\nAnswer: j**960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78706754 + -78706414.999847. Let v = -339 + k. Round v to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -15. Let o = -20 - q. Suppose -2*c - 101 = -o*c. List the prime factors of c.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -12 + (1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 48. Suppose -9 = 2*t - 3. What is the closest to -0.1 in 0.2, t, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/7)\/(52*(-28)\/(-1274))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrmmishmmzimzmms. What is prob of picking 2 z and 1 i?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/2))**33*((x**(1\/2)*x)\/x)**(-17\/3) assuming x is positive.\nAnswer: x**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 - 2?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9320142806.4 + 9320143265.726819135. Let p = 0.327096135 - l. Let n = -459 - p. Round n to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*j + 24646 = 8518. What is the greatest common divisor of 2832 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 3*d + 5*d - 3. Suppose 0 = 6*y + 3*y - 36. Give f(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 273*h - 1932. Let t(n) = -3*n + 23. Let g(j) = -84*t(j) - x(j). Let c(z) be the second derivative of -3*z**3\/2 + z. Give g(c(r)).\nAnswer: 189*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -17*k + 6. Determine i(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 303857 - -763?\nAnswer: 304731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q - 212. Let a(u) = 4*u - 107. Determine -5*a(o) + 3*c(o).\nAnswer: 4*o - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3790)\/3)\/((-156)\/234). Let q = w + -1120. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, 2, -3 in ascending order.\nAnswer: -3, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1271196, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264550463 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 997.85847756 plus 2?\nAnswer: 999.85847756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117*z + 80654 = -54503 for z.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcdcdgzqqhqh. What is prob of sequence ghdh?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 116*c**3 - c. Let i be x(1). Suppose 3*g = -2*g + i. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-10))\/((-6)\/2536) - 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1552660114168 and 0.44.\nAnswer: -1552660114167.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -175335 or -175340?\nAnswer: -175335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - -13) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybboyobb. What is prob of picking 2 o and 2 y?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 7*i**2 - 5. Let l be v(-7). Let f be (l\/15)\/((-3)\/(-18)). Let x be f\/((4\/(-18))\/2). What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v**5\/11 + 3720*v**4\/11 + 54554*v**3\/11 + 65220*v**2\/11 - 54856*v\/11 + 720 = 0 for v.\nAnswer: -55, -18, -2, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56336 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 9 = -t, -2*g = 3*t + 10. Let p(v) = 5 - 1 + 9*v + g - 4. Determine p(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 29*q**2 + 416*q - 8957. What is r(26)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.108433*0.1\nAnswer: -0.0108433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 9630*x**3 + 4636840*x**2 - 9630*x - 4636845.\nAnswer: 5*(x - 1)*(x + 1)*(x + 963)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 24*i**2 - 937*i - 1897. Determine q(41).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 385 and 2409519.\nAnswer: 2409904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 + -2.1. Let d = -2 + 1.8. What is the nearest to -4 in d, t, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6080)\/192*3 - -66?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1472649 is divided by 245432.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:22 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66 - 65*s**5 + 155*s**4 + 2*s - 155*s**4 + 167 wrt s.\nAnswer: -1300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2870093, -2870098, -2870105, -2870114, -2870125, -2870138, -2870153?\n\"Answer: -x**2 - 2*x - 2870090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 188408381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16793900 divided by -116?\nAnswer: -144775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(2\/(-6)*189\/210)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 4793437.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - w)*(1 + 2*w - 1) - 38*w**2 + 35*w**2 + 28*w**2 + 4*w + w**2 - 4*w.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**3 + 7*c**3 + 2*c**3 - 12*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28227 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - r = 3*h - 284, 0 = 3*h - r - 206. Let l = -74 + h. What are the prime factors of (2\/(l\/414))\/(0 + -1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*764692.\nAnswer: -1529384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o + 152*g = 155*g - 42, 2 = -2*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115847467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/99)\/(108\/486). Suppose -4 = -0*m - m. Which is the second biggest value? (a) m (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4\/4 - 5*f**2\/2 - f + 14. What is the tens digit of g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11. Suppose c = -2*o - 8, -10*d + 224 = -8*d + 5*o. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.2, -1, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79049779554659\/127488987127670616 - -26\/26757272967. Let a = 1\/5688 + d. Let t = a + 268871\/25130. Calculate the common denominator of t and -43\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/5 + 396*a**4\/5 - 7614*a**3\/5 + 34992*a**2\/5.\nAnswer: 2*a**2*(a - 9)**2*(a + 216)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-10) + 504\/40 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 i, and 1 n when four letters picked without replacement from {o: 1, a: 1, i: 2, n: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(141\/(-752)*2\/3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v + 5. What is the remainder when w(5) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/((-8)\/24). Let o(i) = -4*i + 1. Let w be o(g). Suppose -z = -w*f - 4 - 12, -2*f - 16 = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2844641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 - 1030124111?\nAnswer: -1030124313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 3. Let m(f) = 4*f - 2. Give 2*m(y) + 3*o(y).\nAnswer: -y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10\/11 (b) 29 (c) 4\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a**3 + 9*a**3 - 4*a**3 - 3*a**2 + 3*a - 2*a**3 - 2. What is the units digit of p(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 + 11)*8\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*j*z**2 + 329*f*j - 9*f*z**2 + f*z - 5*j*z**2 - 96711*j - 12719*z**2 wrt z.\nAnswer: 2*f*j - 18*f - 10*j - 25438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 3, o: 5, k: 3}. Give prob of picking 1 r and 1 k.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, x: 2, r: 1, p: 6}. What is prob of sequence rphh?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p - 4. Suppose -2*s = 4*v + 22, 4*s + v = 3*v + 6. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 2:40 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*o - 8 = 0, 2*o = -3*q - 0*o. Is -4 + (756\/q - (-11 + 14)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 14)*5\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446984017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a - 2. Let i(o) = 367*o**3 - 2*o + 4. What is -i(y) - 2*p(y)?\nAnswer: -365*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l**(1\/6))\/l))\/l**(-2\/5))\/(l**2)**(-6\/23)*(l*l**2)**(-4)*l*l\/(l\/(l*l**(2\/9)*l))*l**(-2\/3) assuming l is positive.\nAnswer: l**(-17987\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191712\/7, 2, -1\/59, 1\/6 in decreasing order.\nAnswer: 191712\/7, 2, 1\/6, -1\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (14 - 67 - (30 - 31))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1322680\/24608*8\/(-5).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777554931?\nAnswer: 23, 77284997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 3. Let m = 175 + -181. Let t be g(m). Is -95\/3 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose 4*f + 18 = c, -5*c + c - f = -4. Solve -q = -g + c*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from wwwxoiokwowwwkkkw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10193873 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/27 - 846\/81\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {l: 3, y: 17}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-151)\/453 - (-7696)\/3. Calculate the greatest common divisor of t and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31091b + 7?\nAnswer: -310914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k**2 - k. Let c(f) = -19*f**3 - 10*f. Let v(u) = -2*c(u) + 2*n(u). Find the third derivative of v(y) wrt y.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 5*w - 16. Determine j(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 53\/2*c**3 - 14*c**4 - 17*c**2 + 4 - 2*c + 5\/2*c**5 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q. Let o(m) = -55*m. Let v(x) = -x**3 - 6*x**2 - 4*x - 9. Let c be v(-4). Let n(y) = c*u(y) + 4*o(y). Let f(l) = 15*l. Give 2*f(i) - 7*n(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -74867554 divided by 37433777?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004616966724 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518 = -17*q + 535 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32170 and 57906.\nAnswer: 289530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -169 in -3, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0224755 and 5.\nAnswer: 5.0224755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:55 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316513?\nAnswer: 11, 29, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*b**2 + 41243 - 5*b - 41243)*(-6*b + 3*b + 2*b) in the form x*b**3 + u*b + h + v*b**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/35)*x**(3\/2))\/(x**2)**(4\/3) assuming x is positive.\nAnswer: x**(-257\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 8*w**2 + 17*w + 70. Suppose -61*r = -64*r - 21. Let g be l(r). Factor g*h**2 + 0*h - 3\/4*h**4 + 0*h**3 + 0.\nAnswer: -3*h**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11010?\nAnswer: 2, 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*b - 85*b + 178*b - 162*b**3.\nAnswer: -162*b**3 + 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 854252858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545616 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1121\/10 + 112. Which is the closest to -1? (a) p (b) -4 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 l when four letters picked without replacement from {w: 2, l: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Suppose -r*q = 2*t, 3*q + 27 = 2*t + 6. Let v(j) = 2*j - 44. Let l be v(23). Solve 0 = -4*w + t*w - l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134887*o**2 + 0*o + 0*o - 4278*o**2 - 14234*o**2 + (-o**2 + 0*o**2 + 0*o**2)*(0 - 2 + 3).\nAnswer: 116374*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)\/(x*x**(-1\/3)\/x)*(((x*x*x**(2\/9)*x)\/x)\/x)\/x*x**(-2\/5)*x assuming x is positive.\nAnswer: x**(-218\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -5, 11, 5, 10 in descending order.\nAnswer: 11, 10, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:10 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*g**2 - 31*g**2 + 3*g**2)*(1 - g - 1) + (3*g - 3*g + g**3)*(-2 + 5 - 2) in the form s*g**3 + a + t*g**2 + f*g and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) + 26\/6. Let w be (n\/6)\/((-66)\/31). Let p = -2\/99 + w. Which is the third smallest value? (a) 0.5 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*u - 13*u + 74*u - 16*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 55, 79, 101, 121?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 2\/13, -9\/5, -3\/4 in increasing order.\nAnswer: -9\/5, -3\/4, 2\/13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*h = -6*h - 48, -2*c - 4*h = -46. Solve -369*m + c = -374*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - (-62 - -29)) + (8 - -1) - (1 + 119)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -986 (base 10) in base 2?\nAnswer: -1111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4859.8 to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y**2 + y - 3. Let a(z) = 9*z**2 - z + 4. Let m(s) = 6*a(s) + 7*r(s). Let t(d) = 3*d**2 - d - 4. What is -4*m(g) - 3*t(g)?\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 4, u: 1, g: 6}. What is prob of sequence ggi?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 1283b25?\nAnswer: 1283b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/6 - 4757*x**4\/2 + 50965283*x**3\/6 - 356214877*x**2\/6 + 93265164*x - 127163560\/3 = 0 for x.\nAnswer: 1, 5, 7132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341982*q**2 + 2178 - 2178.\nAnswer: 341982*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21922923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 1774, 2526, 3208, 3820, 4362, 4834?\nAnswer: 5236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 34 + 5)*(4*w**2 - 4*w**3 - 4*w**2).\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*y + 23 = 0, -4*i + 5*y = -0*y + 32. Is (46 - i) + (1 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47133.\nAnswer: 3, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*q = -11 - 121, q = 3*i - 224. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2650 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -555 - -554.9496. Let x = i + 0.4504. What is the nearest to 0 in 5, 0, x, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/4, 3, 0.536 in increasing order.\nAnswer: -9\/4, 0.536, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a millennium in centuries?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -4. Let l(h) = k*h + 6*h + h + 4. Is l(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75898, 75786, 75674, 75562, 75450?\n\"Answer: -112*j + 76010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 19 - 3*o**3 - 263935*o + 263935*o - 2*o**2.\nAnswer: -3*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*h**3 + 581*h**2 - 103072 wrt h.\nAnswer: -63*h**2 + 1162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002022122 + 11?\nAnswer: 1002022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 2*x - 2. Let i(v) = 3*v**2 + 3*v + 4. Let d(t) = -i(t) - 2*r(t). Suppose p - 2*p = -6*p. Give d(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 4:27 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*l = 180, 2*j - 17 - 89 = -5*l. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 + 1100110?\nAnswer: 10100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 96\/20*(2 + (-188)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 83. Suppose -5*g - 6 = -1, 2*p - 3*g - t = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525141.1 litres to millilitres.\nAnswer: 525141100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 87. Is 8\/11 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.126 + -0.274. Suppose 0*h + 3*h = -9. Sort h, -4, r in descending order.\nAnswer: r, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 + 833395*q - 45851850 = 0. What is q?\nAnswer: -166734, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:35 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*2 + sqrt(216))\/sqrt(12))**2 + 4 + (-2 + sqrt(8)\/sqrt(36) + 3)**2.\nAnswer: 2*sqrt(2)\/3 + 1505\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x**3 + 21*x**2 + 323*x + 181. Determine s(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22123 + -10?\nAnswer: 22113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - z**2 - 113*z**3 + 120*z**3 + z**2.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -23*n + 69. Let i be r(3). Sort 1, 4, i, -4.\nAnswer: -4, i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1751 + 5*y + 6*y + 2109 - 12*y - 6*y + 9*y.\nAnswer: 2*y + 358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/4)\/((u*u**4*u)\/u)*u*u*u**(-6)*(u\/(u**(6\/11)\/u*u))\/u assuming u is positive.\nAnswer: u**(-409\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7216 = -4*u - 5*w, -3*u - 3*w - 1821 = -4*u. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-6)*(-3)\/(-2). Let z(t) = t**3 + 16*t**2 + 14*t - 2 + 3 - 4. Calculate the lowest common multiple of 12 and z(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26900 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 988345563 rounded to the nearest 100000?\nAnswer: 988300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, 1615, 2\/7, -0.4, -26, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 544 and 85408.\nAnswer: 85408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 100, 254, 480, 784?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0714 minus 1065.2448?\nAnswer: -1065.3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-14)\/(-87))\/((-1520)\/72 - -21) and -9\/40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 484 or -28\/15?\nAnswer: -28\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493 and 5831?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 26*n + 123. Let k be w(6). Suppose 3*j - 4*l = 31, 4*l + k = -2*j - 3. Solve -4*v = -9 + j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-4 + -68) - (-15 + 21 - 2120\/(-36))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 9 - 6)*(-27 + 17 + 10 - 342*j) as h*j + i and give h.\nAnswer: 7524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.15 - 1.25. Let u = 28 + l. Let m = 0.6 - u. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530013302 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-3)\/12)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -6*g**3 + 6*g + 13. Differentiate f(t) wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/(-18) - (-6)\/(-9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 1166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765151357.\nAnswer: 765151357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = 4*a, 4*r - r = 5*a - 2. Suppose -6 = 2*w - 4*w. Let q be 4\/w + 10\/15. Solve 0 = -3*g - a - q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1 = -2*s, 0 = -4*b + 4. Let c(p) = -p**3 + 18*p**2 - 24*p + 1283. Let g be c(20). Solve -s - g = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 44. Let l be 4\/k - 39\/33. Is 0 - (l - 1*20) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 8.3664?\nAnswer: -3.3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5937 - 922. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27016976 divided by 241223?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 16, 25, 14, -23, -92?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*v**3 + 45*v**3 + 8*v + 2*v**2 - 2*v**2 to the form r*v + p + h*v**3 + z*v**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15559 or 15560?\nAnswer: 15560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-31 + 1)*12\/(-15). Suppose -3*r + l - 3 = 4*q, r = 2*q - 13. Solve -2*c = c - q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2 (c) 157 (d) -3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - f**2 + 6*f + 7. Let l be y(-6). Suppose g - 278 - l = 0. Suppose -3*h = -0*h - g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 y when four letters picked without replacement from {z: 7, y: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 5. Let t(k) = -5*k - 4. Let d(g) = 5*t(g) + 4*v(g). Let z(c) be the second derivative of -2*c**4\/3 - 39*c. Calculate d(z(p)).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 250.4249 hours?\nAnswer: 901529.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/271 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 14098.2 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) -0.3 (c) -19.8 (d) -5 (e) 349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5698014 is divided by 148.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 9 + (-13 - (11 - 8 - 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/12 + z**3\/2 + 2*z**2 - 140*z. What is x(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 6\/7, 0.025, -1.\nAnswer: -1, 0.025, 6\/7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 30 + (-69 - -55).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -55 + 992 + -956?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34193 is divided by 1743.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 3*d - 7, 142*d - 3 - 1 = -7*l + 140*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuyj when four letters picked without replacement from {z: 8, u: 1, x: 2, y: 6, s: 1, j: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1413*l + 4976*l - 337022 = -489*l for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211211 or 12\/5?\nAnswer: -211211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2675862*1.1.\nAnswer: 2943448.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 155921?\nAnswer: 155911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50\/21 + -12\/7. Let t be (0 + -1)\/((-1)\/(-2)). Let m be -1 - t - (-2)\/(-6). Is m >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 3. Let w be g(6). Is w smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8611 is divided by 58.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16861533, -16861556, -16861579, -16861602?\n\"Answer: -23*c - 16861510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10818\/34019?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 5*s)*((3 - 3 - 4*s)*(3 + 1 - 2) + 2*s - 3 + 3).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = -3*r + 1764. What are the prime factors of r?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 14*f + 5. Let r(j) = -3*j - 27. What is the remainder when h(10) is divided by r(-17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32808037 rounded to three dps?\nAnswer: -0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1*2 - sqrt(77)) + -3*sqrt(77)*-2)\/(sqrt(176) + -1*sqrt(176) + sqrt(176) - sqrt(176) - sqrt(11) - sqrt(704)).\nAnswer: -7*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.247 - 0.053. Suppose -3*w = -14 - 43. What is the smallest value in b, 0.3, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 30*c - 208. Let y be d(7). What is w in 82*w**3 - 6*w**4 + 79*w**3 - 173*w**3 - w**5 - 3*w - 10*w**y + 0*w = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -93*o**3 + 6*o**2 - 26*o + 34. What is m(2)?\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 14*j. Let p(z) = z**2 - 5*z. Let a(w) = -8*p(w) - 3*v(w). Let a(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -9 + 3 - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14431 + -14429. Which is the fifth smallest value? (a) o (b) 4 (c) -1\/4 (d) 5 (e) 146\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/44 + -2 + (-97)\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - y = -8*p + 1, 0 = 3*p - y + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (118 - 128)\/((-30)\/87)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 97. Suppose -5*o + 14 - x = 0. Let g = -12 - -13. What is the biggest value in o, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/75438 and -28\/101?\nAnswer: 7619238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:18 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kssssssssssss. Give prob of picking 3 s.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4592 (b) 0.4 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 966 or 967?\nAnswer: 966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfdddfd. Give prob of sequence fdd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + j**4 - 4*j**4 + (-3 + 3 + j)*(0*j - 2*j**3 + 0*j) + 6*j**4 + 0*j**4 + j**4)*((2 + 0 - 3)*(4 - 2 - 1) + (-3 + 1 + 0)*(-3 + 1 + 0)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 368, 3, 0.4, -5 in decreasing order.\nAnswer: 368, 3, 0.4, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 28 = 5*h. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16351999?\nAnswer: 487, 33577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67\/15 + 19\/5. Suppose -1 = 2*s + 3. Let m be (-13)\/(-9) + 1 + s. What is the third biggest value in 0, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/60 - 1\/20. Let m = 4.0286 - 3.37. Let v = 0.1586 - m. Which is the closest to 1\/5? (a) v (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130699*h + h**3 + 130699*h - 2*h**3 + 4*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 98. Solve -3*h = 5*c - z, -2*h - 3*c = c - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d + 114*d - 695 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*a + 3000 = -41*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 54 = 12*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25710\/450 + (2\/15)\/(-1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*b = 2 - 7, -3*p + 2*b = 13. Let q be 2\/4 + p\/(-2). Let o be (-10)\/(-25) + (-1)\/10*-16. Solve v - q*a = 1, -v - 2*a - o*a = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 17*n**2 - 13*n - 9. Let f = 57 - 36. What is the remainder when g(16) is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 z when four letters picked without replacement from llzqqzqqlzlzzqqqq.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817\/3884 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-17 - -10 - (-6 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(-3\/2))\/b)**(-40))**20\/((b**(1\/5)*b)**(-11)\/(b**(-6)*b**(-5))) assuming b is positive.\nAnswer: b**(2011\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(4\/(-30))\/(6\/(-9)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-5)\/(-10)) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -22*m**5\/7 - 92*m**4\/7 + 248*m**3\/7 + 752*m**2\/7 - 1280*m\/7 - 256\/7 = 0?\nAnswer: -4, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 655096 by 5.\nAnswer: 655096\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70947979127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37770 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Let t(f) = f**3 - 4*f**2 - 4*f - 2. Let o be t(5). Let c(l) = -2*l + 2. Let j(k) = 2*k + 12 - 9 - 5. Calculate g*c(u) + o*j(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 22*s**2 - 1886*s - 528. Let y be h(86). Let j = -0.1 + 0.3. What is the nearest to j in y, 2, 0.1, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3790*r + 1178537. Calculate z(-311).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -45. Suppose g = 6*y - 60 - 36. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -137747*c - 1. Let f(n) = 35*n**2. Give x(f(k)).\nAnswer: -4821145*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 4. Let q(n) = -3*n + 7. Let m(l) = -16*l + 36. Let b(s) = 2*m(s) - 11*q(s). Let y(w) = -3*b(w) + 4*p(w). What is y(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*p - 5 = -2*a, 4*p = -a + 30. Suppose 0 = 2*m + a, 2*g + 2*m = 3*m + 47. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d + d + d - 3*d. Let y(t) = -1. Determine -y(f) + z(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6253057.379 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 - 4*p**2 + 7*p + 15. Calculate the remainder when 529 is divided by y(-4).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14969, 14972, 14975, 14978, 14981?\nAnswer: 14984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1917151*v**3 - 1916808*v**3 - 1916988*v**3 + 5751384*v**3.\nAnswer: 437*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/60 + b**5\/30 + 19*b**3\/3 + 3*b**2 + 2. Differentiate h(v) with respect to v.\nAnswer: -6*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 145*r + 8. Is 65 a factor of k(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*x - 251*x - 254*x + 2251*x**2 - 2075*x**2.\nAnswer: 176*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-198)\/42. Let y = n - 6. Is y less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15284478, -30568965, -45853452?\nAnswer: -61137939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4175.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkkkdfdodmkmkqkkqqf. Give prob of picking 2 m and 1 f.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25554769 rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/9 + 36752*b**3\/9 + 36746*b**2\/9 - 24500*b\/3 = 0.\nAnswer: -18375, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76))\/sqrt(4))**2 - (sqrt(19) + (sqrt(19) + 1)**2 + 3).\nAnswer: -3*sqrt(19) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 0 + 2*p + 8*p + 5. Let c(x) = -2*x - 1. Let g be 0\/(3\/3 + -4). Suppose 3*o = -g*o + 6. Calculate o*q(w) + 11*c(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7868 - -8498. Calculate the highest common factor of 4473 and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 - 45*d**2 - 105*d + 1225 = 0.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1838.898 + 1838. Round i to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 + 7671*f - 114390 = 0 for f.\nAnswer: 15, 2542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + 0. Let z be (-70)\/(-72) + (-6)\/27. Let d = -6 + 3. Which is the nearest to -1? (a) d (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -17.9. Let n = -6 + 4. What is the third smallest value in 3, d, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88469549.2 to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(77)*-6*6)\/(((sqrt(99)*-2 - sqrt(99)) + sqrt(99) + sqrt(11) + sqrt(88)\/(sqrt(16)\/sqrt(2)))*3).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61443 - 61446. Suppose -4*d - 5*i + 29 = -0*i, -15 = 5*d - 4*i. Sort q, -73\/2, d in ascending order.\nAnswer: -73\/2, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 + 31*r**2 - 4*r**2 + 43*r**3 - 2 wrt r?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1107147*q**2 + 114*q - 1107158*q**2 + 41*q in the form u*q + c + d*q**2 and give u.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120339 is divided by 166?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + -43 + 34?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*h)*(-4*h - 38 + 38) - 176*h**2 - 265*h**2 - 108*h**2 in the form g + q*h**2 + l*h and give q.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n + 162*n**2 - 2*n**3 - 466*n**2 - 15*n - 9*n.\nAnswer: -2*n**3 - 304*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2762.9 times -36\nAnswer: 99464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20565194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckk when three letters picked without replacement from {c: 2, x: 2, k: 3, u: 2, b: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/(((-14014)\/(-12740))\/((-418)\/(-10))).\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/191927 and -41\/682630.\nAnswer: 2220595390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**7\/35 + 7*q**4\/24 + 6*q**2. Find the second derivative of s(d) wrt d.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/2 - 5*t**2\/2 - 2*t. Let r be a(-6). Suppose 2*z + 3 = -k + r, -5*z = 4*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: Let m = -953 + 1063. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2*(2 + 19\/(-9)). Let o = -270 + 268. Which is the closest to o? (a) -9 (b) -0.5 (c) q (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 16*j - 331. List the prime factors of n(-29).\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 9. Let c(l) = 1. Let k = 124 - 118. Give k*c(d) - q(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2 - 2. Suppose -5 = -a*w + 3*w. Suppose -3*h + w*h = 122. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -176, -351, -526, -701, -876?\n\"Answer: -175*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383614 at most as big as 1383616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s - 554 = -154 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 575?\nAnswer: 574.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 9. Let p be n(-8). Suppose a + 12 = 5*a. Let i be -2 - (p\/a + -3). Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645.587 millilitres in litres?\nAnswer: 5.645587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*b**2*d**2 + 485*b**2*d - b**2 - 1021*b - 11 with respect to d.\nAnswer: 94*b**2*d + 485*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13486 = 1604992\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13 + -35 + 20 + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 38*i - 4. Let x be r(0). Put x, 7, 2 in increasing order.\nAnswer: x, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392, -787, -1180, -1571?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*n + 10 + 6, 3 = -3*w. Suppose 2*m = 7*m + 5*r - 140, n*m - 100 = r. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1189*l**3*v + l**3*z + l*v*z**3 + 1212*l*z**3 wrt v?\nAnswer: 1189*l**3 + l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 106 - 3*r - 54 - 51. Determine f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -452 + 733. Let i = l - 282. What is the biggest value in i, -0.3, -6, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 8:55 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 1\/4*g**4 - 11*g + 0*g**2 + 17\/3*g**3 + 75. Let t = -3 - -7. Let w(m) = -6*m**2 + 4. Determine t*r(b) + 11*w(b).\nAnswer: 4*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 451394\/9 + -50154. Factor -4\/9*y**2 + w*y - 4\/9.\nAnswer: -4*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**4 + 24 + 2*c**2 - c**3 - 3*c**2 - c**2 - 31 to m*c**3 + z*c**4 + y*c + k*c**2 + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 448106646.\nAnswer: 1344319938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - -2)*1305\/20.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6262, 13598, 20934?\nAnswer: 28270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*56 - (31 - 25). Let q = 82 - s. What is the greatest common divisor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*k + 11675 = -77*k. Suppose -w + k = 4*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 28*p + 19. Let r be l(-5). Let y = r + 126. Which is the closest to 4? (a) y (b) -0.3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69946 is divided by 235.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**3\/6 + f**2 - 7*f. Let l be m(1). Suppose l*p + 3*r + 0*r - 42 = 0, 0 = -5*p - 4*r + 75. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2929, -11048, -24349, -42820, -66449?\nAnswer: -95224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.45033 and 0.1?\nAnswer: 0.045033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2. Factor o*f + 2*f + 2*f**2 - 2*f.\nAnswer: 2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnononooionnnnninoo. What is prob of sequence oi?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/21)\/(4\/6). Let s be (0\/(-2))\/(i\/1). Suppose 2*b - 22 - 8 = s. What is the remainder when b is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258 plus 26.421?\nAnswer: 3284.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32.23 and 0.09993.\nAnswer: -32.13007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 333501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2 - d + 0 - 12*d. List the prime factors of s(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 3. Let d be r(3). Solve z + d = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 2 - 2 - 353*k + 361*k. Let r be d(-7). Let h = 464 + r. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-3)\/(-68)) + 0\/(-5) + 0. Is k less than or equal to -1402\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*a, 5 = -0*z - z - 3*a. Let k = z + -7. Is (6\/4)\/(k\/(-28)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 + 59.12665?\nAnswer: 59.18665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(2 + 595 + 2). Let m be n\/(-2) - (-2)\/4. What is m rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 266299232*m. Let g(a) = -2*a**2. What is q(g(w))?\nAnswer: -532598464*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 31 + 21. Let w be 4 + (-41 - -43)*5\/(-3). Which is the nearest to -0.1? (a) 0 (b) w (c) v (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v - 7\/24*v**4 + 0 - 1\/6*v**3 + 8*v**2 + 1\/60*v**5. Suppose -18 = -3*j + 3. Give u(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -2845?\nAnswer: -2844.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.729 - -94.271. Let o = 198.635 - 103.549. Let y = j - o. Round y to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49, 75, 101, 127, 153, 179?\n\"Answer: 26*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(847)*-3 + 2 - sqrt(847)) - (-1 + sqrt(847)*-1 + 1)) + 2)**2.\nAnswer: -7084*sqrt(7) + 448259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6238 is divided by 250.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*k**3 + 8*k**3 - 75*k**3 + 5*k**3.\nAnswer: -115*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a second in milliseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.7 - -2?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -403 + -1471?\nAnswer: -1874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 20 - 0. Solve 2*q - 16 = 2*w, 20 = -i*w + q + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/522 - (-3)\/((-135)\/13).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9544.138 + -9555. Let o = u - 0.138. Which is the smallest value? (a) o (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*r + 266 = 459*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {d: 1, b: 1, r: 2, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*l = 7047, 0 = -19*v + 17*v - 5*l + 14105. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 486 + -484. Does 30 divide n - (-146 + 1 + -5) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.46 * -123.\nAnswer: 179.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -81737.\nAnswer: 980844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 15 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 782, 1533, 2282, 3029, 3774, 4517, 5258?\n\"Answer: -z**2 + 754*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55\/133 + 3\/19. Factor 0*c**3 + 0 + 2\/7*c**5 - 2\/7*c + o*c**4 - 4\/7*c**2.\nAnswer: 2*c*(c - 1)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575*q - 68836 - 202690 = 3478*q - 13823 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) + sqrt(486))\/sqrt(3) - sqrt(18)\/(sqrt(729) + sqrt(729)*-1 + sqrt(729)))**2.\nAnswer: 22898\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 7830 = 14570. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 4*j - 93. Let v = 71 - j. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(19) + sqrt(171) - (sqrt(19) - (sqrt(19) + (sqrt(684) + 1)**2))) + (4*(-2 + sqrt(57)\/sqrt(3)))**2.\nAnswer: -48*sqrt(19) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.682361 centuries to years.\nAnswer: 168.2361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3532 + 5.3532. Which is the closest to -1? (a) m (b) -0.04 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 2*a**2 + 0*a**2 + (-8224 + 8224 + 98*a)*(192 + 7*a - 192).\nAnswer: 684*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w = 8*w - 504. Suppose 6*x - w*x = -30. Solve 3*v + 26 = 4*c, 3*v = -2*c + x - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 6*t - 7. Suppose u = -u + 5*a - 27, -5*u - 5*a = 15. What is c(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*y**2 + 1\/3*y**3 + 0 + 0*y = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 5:08 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:08 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**2 - 1\/360*x**6 + 0 - 2\/3*x**3 + 2\/9*x**4 - 1\/60*x**5 - 40*x. Determine f, given that i(f) = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1 - 3 + 1 + 9*u + 2. Give i(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Let l = -5 + 10. Let b(d) = 5*d - l*d - d. Calculate t(b(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/4)*b)\/b**3*(b*b\/b**(1\/2))**33)**(-28) assuming b is positive.\nAnswer: b**(-1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561515583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38198?\nAnswer: 2, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -410.157 at least -312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 1. Let h(k) = -14*k - 19. Give -3*b(y) - h(y).\nAnswer: -y + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3559048, 14236232, 32031548, 56944996, 88976576, 128126288?\nAnswer: 174394132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*z + 3 - 2 - 60*z)*(386*z + 96*z + 235*z + 176*z).\nAnswer: 3572*z**2 + 893*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1477627 or 1477626?\nAnswer: 1477626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45577.83us?\nAnswer: 0.0007596305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 144482 - -1b?\nAnswer: 1444a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31216392 divided by -76?\nAnswer: -410742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729115 - 737748 = -97*l for l.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 196.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/10 + 459*a**5\/10 - 24013*a**4\/4 + 46206*a**3 - 136806*a**2 - 204*a. Factor i(w).\nAnswer: -3*(w - 151)**2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*s**4 + 75*s - 78 wrt s?\nAnswer: -16*s**3 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.128 + -0.428. Which is the second biggest value? (a) 121 (b) n (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1305 = 22*r + 807. Let k be (-4)\/(4 + r\/20). Solve 2*g - 3*p = 2*p - 3, -5*g - k*p - 25 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19012 + 20272. What is the highest common factor of 7812 and l?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d**6)**(-2\/73)*((d*d\/(d\/d**(-3)*d))\/(d*d**(-1\/12)))\/(d**(-3\/5)*d*d**(-7)*d) assuming d is positive.\nAnswer: d**(7853\/4380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v = -3*g - 6, 0 = 5*v. Calculate the remainder when (0 + -1)\/(g\/180) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-913 + 439 - 5530*h + 476)*(-6*h + 2*h + 2*h).\nAnswer: 11060*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*s - s + j, -5*s + 2*j + 51 = 0. Let o(p) = 4*p - 30. Let d be o(s). Is 331\/((d\/(-3))\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 2, k: 2, a: 1, w: 1}. What is prob of sequence shha?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + 0.3. Let o = a + -6.3. What is o rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -3, -5 in descending order.\nAnswer: 9, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111010111111010 (base 2) in base 8?\nAnswer: 1172772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 = 3*z - o, 4*z - 13*o - 816 = -16*o. Let r be (-264)\/6*(-1)\/2. Calculate the highest common divisor of z and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74512053, 74512055, 74512059, 74512065?\n\"Answer: c**2 - c + 74512053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/14*(-18)\/75?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llee when four letters picked without replacement from iiielleleiiilllill?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 204, 704, 1692, 3336?\n\"Answer: 28*m**3 - 8*m**2 + 8*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*y**4 - 292262180*y**3 - 375765606*y**2 - 1127296764*y\/7 - 161042391\/7.\nAnswer: -(y + 5964533)*(7*y + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 85*j - 151613. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1992 + 572 = 275*i + 366*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 3, i: 10, k: 1}. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -691219, -1, 4, -4, -0.4?\nAnswer: -691219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/(g\/(g**1*g))*g**(-34)*g**(-3) assuming g is positive.\nAnswer: g**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47865 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b719 (base 13) to base 16.\nAnswer: -83b4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 3*g - 24 + 24. Calculate the lowest common multiple of z(-3) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + l - 2. Let s be o(3). Let t be 4\/10 - 4\/s. Let f(v) = 0 + v**2 - 3 + t. What is f(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - 1. Suppose -35*i + 32*i + 6 = 0. Let j be -1 + ((-74)\/(-26) - 2). Which is the biggest value? (a) j (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*q**2 - 3*q**2 + 0*q**2 + (-1 + 1 + 2*q**2)*(2 + 2 - 3) + 2*q - q**2 - 2*q + (2*q**2 - 5*q**2 + 2*q**2)*(0 + 5 - 3).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31739 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(140))\/sqrt(10))\/sqrt(7).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 6) + 6 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(66*(-22)\/(-16940)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 22, -10, 5, 10, 2, 1.\nAnswer: -68, -10, 1, 2, 5, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-5*2 - 3). Let f be ((-30)\/20)\/((-6)\/l). Let k(m) = m**2 + 10*m - 8. Let x be k(-11). Sort x, f, 5 in ascending order.\nAnswer: x, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and -0.3.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -55. Let r = 63 - n. What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13797 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 706688 (base 11) in base 13?\nAnswer: 30a1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -16*o + 2. Suppose 2565*a - 2548*a = -17. Give q(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 9 = -2*f - 4, -s - 2 = f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*u + 7*u. Is -3 + (-3 - (4 + u)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from srmsssrmrsssmmsssw.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -29*o + 8*o + 33744. What are the prime factors of o?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-776)\/2460 + (-32)\/(-656)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 111 = 2*b, 0 = -b + 3*b + 5*v - 135. Is b a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(9)\/(sqrt(3) + sqrt(12)\/sqrt(4)) - (-1*sqrt(15)*2)\/sqrt(5).\nAnswer: -1 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8*(4 + -16). What is the remainder when (-133)\/w + 12\/54 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -45\/2*b**4 + 17*b**2 + 33\/2*b**3 + 4 - 18*b = 0.\nAnswer: -1, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:04 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4863*t**3 - t**2 + 5*t - 4. Let r be h(1). Suppose q + i = -0*q + r, 0 = 2*q - 5*i - 9712. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y + 8. Let a be (-8)\/(-4) - (y - -1). Suppose -i = 4*t - 20, a = -3*t - 4*i + 5. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43.31 and -0.4?\nAnswer: 43.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 1. Let q(a) = -1. Let b(l) = l**3 + 11*l**2 + 6. Let k be b(-11). Let t(g) = k*c(g) - 6*q(g). Let s(j) = -2*j**2. Determine t(s(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**3 - 2*m**3 - 6*m**3)*(-23*m + 2 + 0 + 26*m) as n*m**3 + j + b*m**4 + z*m + d*m**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*o - 7, -2 = -5*o - 4*g + 4. Suppose o*j = 4 + 4. Suppose -12 = j*i - 5*i. What is the smallest common multiple of i and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/10 - 13*p**2\/2 - 18*p. Let k(v) be the first derivative of c(v). Let h(x) = x**2. What is k(h(s))?\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*l**6 + 14796*l**3 - 26989*l**2 + 18*l + 2 wrt l?\nAnswer: 3840*l**3 + 88776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2034829.7 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + 5 - (-82 + 84)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 10*p**2 + 1 - 3*p**3 + 20*p - 20*p. Let v be d(-10). Is (-1 - v) + (21 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -9\/197 (b) -0.3 (c) 1\/3 (d) 5\/3 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 26 = -266. Suppose 4*y - 12 = -4, -4*y - 92 = -k. Calculate the highest common factor of o and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g. Let d(o) = -o. Let p(b) = 5*b. Let x(r) = -6*d(r) - p(r). Calculate 4*a(l) + 4*x(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -69 - (-16 - (-35 - -6)) - -28\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393\/21 - 12\/(-42).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*f = 62 + 17, -73 = -4*c - 3*f. Let p = c - 7. What is the greatest common factor of p and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*r - 13222363 - 35881237 = 0. What is r rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16500190 divided by -14.\nAnswer: -1178585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 7, 78, 177, 304, 459?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/522 and -59\/783.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -4 - 9 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, v: 3, n: 4}. Give prob of sequence vmvn.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 1 + 4. Let p(o) = 7*o - 5. Let v(a) = -1. Let z(w) = q*v(w) + p(w). Let n(s) = 2*s. What is z(n(c))?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**3 - 29*p**3 + 7*p**3.\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11775 and 995175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 - 1 = 0. Let g(k) = k**2 - 4*k - 1. Let q be g(0). Sort -2, q, t in decreasing order.\nAnswer: t, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -115*r - 25. Is q(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 659*q + 615*q - 1135*q. Suppose -z + 3*z = -6, 0 = -t - z + 10. Suppose -3*g - 2*g + 25 = 0. Solve -3*s - 9 = 0, -g*i + q*i - t = -4*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 6:14 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*o - 8*o - 5 + 9 - 3*o**3 + 2*o**2 wrt o.\nAnswer: -18*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3718188 and 2148.\nAnswer: 3718188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 1, h: 2, g: 3, s: 6}. Give prob of sequence ghds.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646151 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - -3.01. Let f = -70 - -69. Let p = g + f. Which is the second smallest value? (a) 4\/3 (b) p (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 57. What is the nearest to b in -3\/2, 0, -1\/67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + r + 10 - r.\nAnswer: r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50467539937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 2, g: 1}. What is prob of sequence vg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -117*j + 15. Let f(z) = -29*z + 4. Let c(m) = 21*f(m) - 5*r(m). Does 32 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 558*s - 40 = -561*s - 46, 3*a - 3*s + 14 = -4 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120617\/15 + 25510\/3. Let f = h - 462. Let -f - 3\/10*w - 1\/10*w**2 = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(63\/14 + -5). Sort a, -3.9, -4\/3 in decreasing order.\nAnswer: a, -4\/3, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3)*m)**(-38)\/((m\/m**(-11\/5))\/m**(2\/21)) assuming m is positive.\nAnswer: m**(-552\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4115 (b) 0.695 (c) -1\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/6 (b) -18 (c) 18 (d) 59.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (143126*1)\/(43 - (66 + -25)) 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 {f: 4, u: 6}. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) -68 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 74283.51kg?\nAnswer: 74283510000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 + 18*v**2 - 7*v + 84. Calculate j(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 523136*i - 3. Determine b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2971*w - 89670 + 268764 = -330*w + 159*w for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - q)*(4 - 5 + 2)*(406 + 191 - 96).\nAnswer: -501*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 l when three letters picked without replacement from {l: 3, z: 2, f: 8, b: 3}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1924 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-140)\/(-12)*(-24)\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72 in -2, -4, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(36)\/(sqrt(16)\/sqrt(4)))\/(sqrt(33)\/(sqrt(11) - (sqrt(33)\/sqrt(3) + sqrt(11)))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 2444 = 2769 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3751 + 2472. Let n = u + -3444. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -247*m. What is the remainder when f(-1) is divided by ((-35)\/(-7))\/(176\/880)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1843.645 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331981446?\nAnswer: 2, 3, 2647, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (5 - 8 - -4) - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s - 10. Let y(a) = -a - 1. Let z(n) = x(n) - 8*y(n). Let b be z(-2). Suppose -39000000 = -d + b*d. What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*n**2 + 4*n**3 - 147*n**2 - 4*n**4 + 20*n**3.\nAnswer: -4*n**2*(n - 4)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/108 and -163\/84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139\/3, 1, -9511, -10 in ascending order.\nAnswer: -9511, -139\/3, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*v = 45, 2*v + 75 = 5*l + 50 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2477, -4422, -6159, -7688, -9009, -10122?\nAnswer: -11027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y - 0*y - 3*o, 0 = -3*y + 5*o + 9. Let i be ((-6)\/y - 32\/12)*3. Which is greater: 1\/21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)\/(a\/(a**6\/a)))\/((a*a**2)\/a*a)**(-8))**(-21) assuming a is positive.\nAnswer: a**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 97.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 29*l**2 - 38*l - 833. Give b(25).\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2455*z - 5261*z = -2503*z - 6060 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 22. Let k be i(6). Is (-4 + 5 - k) + 952 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81, 248, 415, 582, 749, 916?\n\"Answer: 167*w - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 + 11*h**4 + (-5*h**4 + 0*h**4 + 3*h**4)*(1 - 1 - 1).\nAnswer: 13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 6:31 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*j - 55*j + 32 - 4*j**2 wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20217 (base 8) to base 11\nAnswer: 6298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2732, 0.3, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 3\/(-2)*2. Suppose -2*z - 3*c - 12 = 0, v*z - 5*c + 4 = -8. What is the units digit of (-3)\/z*(3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m - 2*v, -4*m + 20 = m + v. Suppose -175 = 96*x + 305. Let z(d) = d**2 + d - 1. Let r be z(0). Sort m, r, x in increasing order.\nAnswer: x, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1408*b**3\/5 + 8454*b**2\/5 + 12708*b\/5 + 54\/5.\nAnswer: 2*(b + 3)**2*(704*b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*(-6)\/(22 + -19). Sort -5, 24, c in descending order.\nAnswer: 24, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 228618.3184?\nAnswer: -228620.3184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260532 and 202636.\nAnswer: 1823724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 304, 486, 684, 904, 1152?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.3 (c) -2\/5 (d) -3 (e) -4\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 4 + 4)*(-216*p + 216*p - 33*p**2)*(-p + 2*p + 0*p) - 17*p**4 + 3*p**4 + 32*p**4 in the form q*p**3 + l*p**2 + y + n*p**4 + z*p and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20440 (base 5) in base 8?\nAnswer: -2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -536 greater than or equal to -536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19228199.\nAnswer: 1987, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-180)\/(-162)*(-9)\/5. Solve 98 = -p*i + 62 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -13) + -1 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1232\/(-121) + 10 + 46\/11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:26 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8326982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-10)*(-2)\/10. Which is the second smallest value? (a) 5 (b) r (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) -3 (c) -2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - 190\/570.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 15*o + 4. Let j(y) = -75*y - 21. Let i(r) = -2*j(r) - 11*z(r). Give i(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*m - 67, 5*m - 42 = 2*f + 9*m. Sort -1, 4, 3, -2, f.\nAnswer: f, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12015*i + 15*i**2 + 3 - 17*i**2 - 2.\nAnswer: -2*i**2 + 12015*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 1410457*k\/2.\nAnswer: k*(k + 1410457)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/5 - 340884*a\/5 - 9543184\/5 = 0.\nAnswer: -170414, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*k - 1499 + 1485, 3*k - a = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -808, -4, 464, -0.2 in decreasing order.\nAnswer: 464, -0.2, -0.7, -4, -808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3 - 5152*v**2 + 112618*v - 618068 = 0.\nAnswer: 11, 2554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*z + 82*z**4 - 18*z**3 - 176*z + 16*z**3 - 20*z**4 wrt z.\nAnswer: 744*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 37. Calculate the remainder when 103 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*x + u - 8, 2*u + 7 = -5*x. Let t be (-7)\/((-56)\/(-64)) - (-189)\/24. Which is the smallest value? (a) 1\/3 (b) x (c) t (d) 2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-5) + 6\/(-15). Suppose -y*s - 6*b + 2*b = 16, 2*s - 5*b = 20. Let m(u) = -u**3 - u. Determine m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(5))*-3*6.\nAnswer: -90*sqrt(5) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/16 and 181\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4360 = -o, -o = -5*v - 5*o + 21798. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000180534371 rounded to 6 dps?\nAnswer: -0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -220*l + 2123. What is w(10)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.112467.\nAnswer: -0.0449868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -676\/993 - -14\/993. Which is the smallest value? (a) 1 (b) 12 (c) -2 (d) x (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 332773434 and 84?\nAnswer: 665546868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 87*t**2\/5 - 102*t\/5 - 24\/5.\nAnswer: -3*(t - 4)*(t - 2)*(5*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kttd when four letters picked without replacement from {m: 9, k: 1, d: 4, t: 2}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6192 = -7*n + 4*n. Suppose 22*m = 2050 + n. What is the greatest common divisor of m and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-25)\/(-1000))\/((-2)\/(-16)). Let i be ((-6)\/8)\/(33\/24). Sort -3\/4, i, q in descending order.\nAnswer: q, i, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) 34 (c) 0 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -20, -48, -96, -170, -276, -420, -608?\n\"Answer: -n**3 - n**2 - 4*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 6*a**2 - 5*a + 5. Let y(s) = -2*s**3 - 6*s**2 - 6*s + 5. Let v(d) = 3*m(d) - 2*y(d). Is v(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.144 - 13259.463767?\nAnswer: -13259.319767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2548)\/322 + (-2)\/23. Let h(j) = j + 7. Let z(d) = -d. Let k(a) = h(a) + 2*z(a). Let v be k(y). Solve 0 = 5*n + q - v, 2*q - q - 7 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 4*x. Let m = -541 + 545. Give b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 249 + -79. Suppose 0 = 5*o - 0*o - z. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59.234 - 8.43. Let o = -24155 - -24104. Let g = k + o. What is g rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -2, 0.6 in decreasing order.\nAnswer: 0.6, 0.22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/4 - 10\/40. Suppose 5*m + 21 = j, -7*m + 6*m - a = 0. Let y = 20 - 12. What is the least common multiple of j and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 27783*v + 108. Let q(h) = -2137*h - 8. Calculate -2*k(s) - 27*q(s).\nAnswer: 2133*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 716 + -492. Calculate the greatest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 2*q - 2. Let x(y) = y**3 + 5*y**2 - 8*y - 9. Let o be x(-6). Let r(b) = -b**2 + b - 1. What is o*a(m) - 5*r(m)?\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40935 to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1485 and 3245.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1324\/(-31114) + (-609)\/47.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.136132kg?\nAnswer: 136132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 846659622 to the power of 1\/3, to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286*a**5 + 18*a**2 + 3.\nAnswer: -17160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 4*c**2 - 4*c**2 + c - 4*c**2. Suppose 36 = 3*q - 3*w, -2*q + 37 = -5*w + 7. Suppose -6*p + p = -q. What is d(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z**2 + 5*z**2 - 2*z**2)*(-z + 26*z + 10*z)*(1 - 5 + 3)*(3*z - 2*z + z)*(13 - 3 + 0) to j*z**2 + f*z**3 + s*z + q + m*z**4 and give m.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-3 + sqrt(98) + -2)**2 - sqrt(98)) + ((-2*sqrt(140) - sqrt(140))\/sqrt(7))\/sqrt(10))*5.\nAnswer: -400*sqrt(2) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/7, -3\/4, 17, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from evkpx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*w + 1. Put w, -4, 19 in descending order.\nAnswer: 19, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 261395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6501764317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -93900 (base 12) to base 8\nAnswer: -571120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2283092*c - 4409431 wrt c.\nAnswer: 2283092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 1 + 2*i**3 - 2*i**4 + 2*i**3 - i**3 to the form d*i + g*i**3 + v + c*i**2 + l*i**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31482 and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4110 and 1424937.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493.1 plus -100892251466?\nAnswer: -100892249972.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 6*d**2 - 2*d + 4. Give j(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - 82. Let l be g(0). Let h = l - -146. Suppose -z = 3*z - h. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -262, -2\/229 in ascending order.\nAnswer: -262, -0.1, -2\/229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 13) in base 2?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234 a factor of 12045730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2377 + -1293. What are the prime factors of a?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11721, 11685, 11649, 11613, 11577?\nAnswer: 11541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -3*x**6\/2 - 5*x**3\/3 + 6*x**2 - 3*x + 60. Find the second derivative of q(g) wrt g.\nAnswer: -180*g**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 2*h**2 + 0*h + (-5*h + 2*h + h)*(0*h - 6*h + 4*h) + 60*h**2 + 25 + 10*h - 9*h - 15.\nAnswer: 62*h**2 + h + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -28*a**3 + 2*a**2 - 1. Calculate u(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/153958348 and 63\/1109210.\nAnswer: 769791740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13239 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 46, 158, 376, 736, 1274, 2026, 3028?\nAnswer: 4316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 u when four letters picked without replacement from uffuf.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 265652 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n + 2*p - p, -3*n + 2*p = 4. Solve 4*f + 3*u = 12, 5*u = -n*f - 5*f + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-2))\/(25\/(-10)). Solve -2*m + x*l = -10, m - 4*l = 3*m + 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 466\/4 + (-2)\/(-4). Let r = t - 65. Let h = 4 + 14. What is the remainder when r is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {y: 2, u: 3, p: 1, g: 3, e: 1, v: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -744430, -1488854, -2233306, -2977792, -3722318, -4466890?\n\"Answer: -v**3 - 8*v**2 - 744393*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + 0)*3 - sqrt(288)) + sqrt(288)*1 + -5 - (-5 + (sqrt(288) + -2 - sqrt(288)) + 1 + 1))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.013887 - 0.113887. Let j = -19 - -17.2. What is the nearest to q in 0.3, 1\/3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x + 1. Let f(b) = -2*b**2 - 26*b + 61. Let v(z) = f(z) - 5*y(z). What are the prime factors of v(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 11*s**2 + 11*s. Let b(o) = -4*o**2. Let i(d) = -3*d**2 - d. Let a(q) = 2*b(q) - 2*i(q). Calculate 22*a(t) - 4*f(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755497 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.4 - -0.95.\nAnswer: 10.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.309 + -4.691. Let q = j - -5.00000273. What is q rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21783 is divided by 4159.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -927, -928, -929?\n\"Answer: -a - 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/6 (c) 2\/13 (d) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = -5. Suppose -h*u + 4*p + 0*p = -2, 5*p - 10 = 0. Let n = u - -10. Solve -m + 4*m = -n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 5 (c) -434 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-138)\/(-184)*8\/45*3. Let b = 18 - 16.04. Let l = -0.04 - b. Sort l, 2\/11, y, -32 in increasing order.\nAnswer: -32, l, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 23 + -25 - -7 - (-2 - -65).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13015832 divided by -3253958\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 + 65. Let l = -130204934.3999961 + 130204858.4. Let a = b - l. What is a rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 42. Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-16))\/(c**20*c)*(c*c**26*c)\/(c\/(c*c**(-30))*c*c) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2990 times 3\nAnswer: 8970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*p, -w = -0*w - p. Suppose -4*f - i + 2 - 140 = w, -f - 37 = -i. Let q = -21 - f. What is the highest common divisor of 98 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 33*s**2 + 10*s - 99. Let o be n(-16). Is 3\/14 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + 0 + sqrt(637) + -1)**2 - (-1 + sqrt(637) + 3 + -2))*-2.\nAnswer: -14*sqrt(13) + 1274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 19*p + 50 = 0. What is the remainder when 47 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 - 838\/5. Let p = 366 + -365.7. Which is the closest to -1? (a) k (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -216330024\/11 or -19666366?\nAnswer: -216330024\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*k + 15 = 0, -3*r = -3*k - 20 - 13. Let s = r - 1. Calculate the smallest common multiple of s and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**5\/30 - 5*p**2 - 23. Let c(s) be the second derivative of h(s). Let q(x) = -42*x. Determine q(c(m)).\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*f - 13152, 3*f - 3582 = 3*b + 16164. Round b to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -298.5*-0.1\nAnswer: 29.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 - -295. What is s in s - h*s**2 - 2*s - 4*s + 15*s**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4201573866.\nAnswer: 2, 3, 7, 100037473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 15, p: 3}. What is prob of sequence ppa?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -16 + 31 + 5 + -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 13. Suppose -3*u - u + 232 = -2*c, 4*u - 212 = -q*c. Calculate the remainder when u is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 = 3*k + 73, 5*a + 4*k = 55. Let c = a + -13. Suppose -c*p = -3*i + 40, -p - 14 = -4*i + 3*i. Solve 5*r + i + 13 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*b - 4*b - 2*b**2 + (-4*b**2 - 2*b**2 + 5*b**2)*(6 - 4 - 4) - 3 + 3 + b**2 - 9*b + 9*b - 24*b**2 - 3 + 3 - 5*b**2.\nAnswer: -28*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*k - 52*k - 270. Solve k*c + 24 = 22*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - 4*g)*(1 + 63*g - 821*g - 273*g) + (3*g + 2*g - 6*g)*(2*g - 2*g + 2*g).\nAnswer: 1029*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 423263 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjph when four letters picked without replacement from pphjjhhpvvjpphhvjtt.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/14 + 6\/(-21). Suppose -z*p + 46 = -90. Suppose 3*q - p = 5. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.37272?\nAnswer: 0.37272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:38 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7121*x**3 - 5*x + 65948.\nAnswer: 21363*x**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-6)*0)\/(-6). Suppose p*n + n + 0*n = 0. Solve 0 = -4*z + 4*s - 9*s + 41, n = -s + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 7) to base 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:14 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 1\/4*y**4 - 4*y - 18 + 0*y**3 + 1\/2*y**2. Calculate j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 11*w - 1. Let f = 12 + -4. Let k(q) = f*q**2 + 1 + q**2 - 8*q**2 + q. Let c(y) = 6*k(y) - 2*v(y). Factor c(x).\nAnswer: 4*(x + 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7866 is divided by 571.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvssvvvs. What is prob of sequence vsv?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2673) - sqrt(99)\/sqrt(3)*-5)\/((sqrt(24) + sqrt(288)\/(sqrt(24)\/sqrt(2)))\/((sqrt(72) + sqrt(72)*2 + sqrt(72))\/sqrt(9)))*3.\nAnswer: 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 24 = 8*i. Let a(u) = 141*u + 13. Is a(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16815 + -15984. Calculate the remainder when a is divided by 378.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 - 4*z**2 + 3*z**2)*(-2 + z + 2)*(3 - 3*z - 3).\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*w = 531*w + 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, 12.\nAnswer: 2\/9, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olooloo. What is prob of sequence looo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*j - 41. Let n be (-517)\/(-99) - j\/18. Suppose -4*s + 216 = 4*x, 67 + 198 = n*s + 4*x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117988 is divided by 23502.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28915366?\nAnswer: 2, 14457683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558580.\nAnswer: 2, 5, 11, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**2. Let p(c) = -9*c + 7. Let y(f) = -4*f + 3. Let k(r) = 3*p(r) - 7*y(r). Give k(u(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.1 - 3.9. Let g = -2.8 + i. Let t = 162 + -1780\/11. What is the closest to -2\/3 in g, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -30*6\/(-36)*3\/5. Let o(v) = 6*v**3 + 5*v**2. Let h(a) = -5*a**3 - 5*a**2. Calculate q*o(i) + 4*h(i).\nAnswer: -2*i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 13*i - 3*w + 80, -5*w + 20 = 0. What is the remainder when 232 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 9 - 4) + (0 - 0) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 11*c - 6*c = 2239, -4*n + 2*c + 2246 = 0. Suppose -n = -19*g + 579. What is the greatest common divisor of g and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/7 - 94*x**4\/7 - 178*x**3\/7 + 94*x**2\/7 + 180*x\/7 = 0.\nAnswer: -45, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 5*q - 22770, q + 15180 = 2*y. Suppose a - y = -21*a. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4 - (-4100)\/(-550)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.58*103\nAnswer: -265.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v)\/(v\/v**(-14\/9))*v**6\/v**(-13) assuming v is positive.\nAnswer: v**(121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - (-1 - -3)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4\/3, -5, 0.16, 65, 20, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (5 + -3)*46\/4. Let i(t) = 61317*t**2 - 3*t - 12. Let z be i(c). What is z rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4512 + -4512.7. What is the nearest to 0.1 in -4, v, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -4344200114?\nAnswer: 4344200124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26452229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w - 11. Let g be z(6). Let q = 55 - g. List the prime factors of 931\/63 - (8\/q)\/(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3615*s*x**2 - 2*s*x + 1744*x wrt x.\nAnswer: 7230*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 97. Is 728\/24 - (-2)\/x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011101100000111110011 (base 2) to base 8.\nAnswer: -13540763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75286 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x. Let c(l) = -227224*l. Give c(f(g)).\nAnswer: -2045016*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w + 73. Suppose k + 4*j + 21 = 0, 2*k = -3*j - 45 + 8. Let y be n(k). Solve 3*b + 2 = y*d - 1, -2*b = -d + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:59 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -258629 (base 13) in base 11?\nAnswer: -568223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*q - 99*q + 105*q.\nAnswer: 352*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-99)\/(-27) + 7*(-4)\/(-42). Let l be 64\/36 + (-2)\/(-9). Put a, 8, -5, l in ascending order.\nAnswer: -5, a, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8698 <= 8256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14270 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*b - 40, 2367 = 5*i + 2397. Solve 5*g + 167*h = 172*h - 25, h + b = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897788937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11, -386, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/289, 5, 4, 3?\nAnswer: 1\/289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1891 + 4500. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 1365, 3108, 5561, 8724?\nAnswer: 12597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 1909*n - 885870.\nAnswer: (n - 2295)*(n + 386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -10*y + 4*h, y - 7*h = -9*h + 3. Let v be -2*(385\/(-14))\/y. Solve -31\/7*w + 12*w**4 + 9\/7*w**v - 20\/7*w**2 + 94\/7*w**3 + 8\/7 = 0.\nAnswer: -8, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929.32 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20472.52ml?\nAnswer: 20.47252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*f + 19266 = 98*f. What are the prime factors of f?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/18*(-192)\/128\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2125 * 2.\nAnswer: -4250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3571371?\nAnswer: 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50263 + -13?\nAnswer: 50250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*c - 5*y, -y - 2*y - 9 = 3*c. Suppose -3*o - 10 = -2*b, 0*o - 2*o = c*b. Let l be (4 - b) + (5 - 3). Solve -n + l = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**6\/15 - 889*m**4\/12 - 121*m**2\/2 + 2*m - 1163. What is the first derivative of h(p) wrt p?\nAnswer: -8*p**3 - 1778*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.0407588 days?\nAnswer: 0.9782112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 383868008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**3 + 2*y**2 - 2*y. Let a be m(2). Suppose 0 = p + 2, 608 = 4*r + r + p. Let c = r + -80. What is the greatest common factor of c and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 4*s + 1. Let j(o) = o - 3. Let g be j(0). Let y be c(g). What is the first derivative of -12*n**y - 4*n**2 + 18 + 3*n**2 + n**2 wrt n?\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 143454003 (base 6) to base 14.\nAnswer: 5772a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*u**2 - 10661201*h**2*u + 21*h*u + h + 3*u**2 + 880*u - 58 wrt h.\nAnswer: 6*u**2 - 21322402*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a factor of 13247370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2\/13, 0.34, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 62 = 4*u - 223, -5*q = -2*u + 85. Calculate the smallest common multiple of u and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 6*c + 4. Let t be w(-5). Let u = 16 - t. Let m = 3128 + -3113. Solve -5*b - 3*l = -u*l + m, -16 = -b - 3*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 + 0.03. Let q = 0.3 - x. Which is the smallest value? (a) q (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:04 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 52*z + 339. Let j be w(-7). Which is the second biggest value? (a) -0.2 (b) j (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80625352 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 5*n**2 + 4*n - 3. Let j(v) = v**3 + 4*v**2 + 5*v - 4. Let p(q) = -4*c(q) + 3*j(q). Let o be p(-8). Solve 2*i + 11 = -5*g, 0*i + o = 4*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 - h + 2. Let m be d(0). Suppose -31*u + 162 + 4 = -671. Calculate the remainder when (m\/6)\/((-2)\/(-474)) is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 19. Suppose 4*s + j = 24. Solve 0*p = 5*p - t + 16, 5*p = -s*t - 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 27*r + 52857. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1690)\/624*363\/(-1573)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {k: 10, z: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, r: 12, w: 4, h: 1}. What is prob of sequence kwwh?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 21. Let n be w(-19). Suppose 2*i + 8 = 4*i. Suppose r + 5*o = -i*r + 6010, -4*r + 4806 = n*o. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.81 + 0.02. Let b = -0.17 - n. Let l = -4 - -9. What is the third biggest value in 5\/4, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 40*f. Let v(y) = 5*y - 239. Determine v(o(i)).\nAnswer: 200*i - 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -121235596.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -143, -163, -181, -197?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-336)\/(-20))\/3. Suppose 13*q = 14*q - n. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 468209*f**4 - 53*f**2 + 135016605*f wrt f?\nAnswer: 5618508*f**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (-4)\/((-28)\/(-7))*2517.\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 4, e: 5, u: 1, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4071\/1855 - -2\/371. What is the common denominator of d and 1 + -1 + (-178)\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535834929 to the nearest integer?\nAnswer: 23148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 1615721037.\nAnswer: 1615721037.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -11*l + 12. Let j(f) = f**2 + 2*f + 2. Let x(k) = k**2 + 3*k + 3. Determine l*x(r) - 3*j(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8204 is divided by 1367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h*h**(-2\/3)*h*h)\/h)*h**(-12\/17))\/((h*h*h**26)\/h*h*h\/h**(-12)) assuming h is positive.\nAnswer: h**(-2195\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -1\/27 (c) -0.00861 (d) 0.3 (e) -2.4 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + sqrt(2) + 0)**2 - sqrt(288)\/sqrt(9))*-5.\nAnswer: -30 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143221 - 3?\nAnswer: 143215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - h + 105 = v, 2 = 2*h. What is the units digit of (-772)\/2*(-7 - v\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9823613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -6, 9607, -2\/7, -4, -113?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/5))**36\/(((c*c**5)\/c*c)\/c**(-1\/11)) assuming c is positive.\nAnswer: c**(853\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*g = -2*z + 200, -5*z - 2*g = -200. Let b = z - 39. Suppose b = 2*i - 5. Solve -2*w = i*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135783 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = -a - 0*a, -3*a = -5*m + 3. Suppose -a*y + 5 = -3*y. Solve -t + 12 = -y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ittitiiiti. Give prob of picking 2 t and 2 i.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 817261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2107250, 4214502, 6321754?\n\"Answer: 2107252*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 8, u: 5}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*d**3 + d**2 + 58*d**3 - 27*d**3 + (2*d - 4 + 4)*(3*d**2 - 2*d**2 - 3*d**2) + d - d**3 - d to x*d**3 + h*d + a + c*d**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o - 7*o + 8*o)*(0*o**4 + o**4 + o**4).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 5177 - 67855 = -9*t. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2618290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -16*w - 80. Let m be a(-5). Solve 13*g - 10*g - 15 = m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 8:56 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + 194 + -161?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 147 (b) 6.2 (c) 0 (d) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*u = -6*i + 12305, -3*i + 12293 = 2*u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33237 and 661047.\nAnswer: 5949423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -111. Let g be ((-24)\/5)\/(18\/s). Let t be (20\/g)\/(3\/(-12)). Solve 11 = -t*w + 3*y, 4*w + 12 = 2*y + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a08 (base 14) in base 3?\nAnswer: 2200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18610 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + 0)*68\/(-12). What is the units digit of b\/(-2) + (5 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8927 and 0.3.\nAnswer: 8927.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - c7e5?\nAnswer: -c7e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -302*i**3 + 2*i + 45 wrt i?\nAnswer: -906*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*f**4 - 30557102*f**3 + 3112455145842*f**2 - 105675156096069994*f + 2113501876939586 = 0 for f.\nAnswer: 1\/50, 101857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2300001.087395937 + -5931.772611163. Let g = h + 2305933. Let b = -0.14 + g. What is b rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**(2\/17))**(2\/91)\/((i**5\/(i**(-1\/7)*i))\/((i**(-3\/7)*i)\/(i\/i**1))) assuming i is positive.\nAnswer: i**(-5517\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*n - 5*f, -2099*f = 8*n + n - 2102*f + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x**2 + 26813*x + 5745 = 0. Calculate x.\nAnswer: -1915, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305167 and 81089.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/(-2))\/(9\/(-12)). Let y = s - 40\/3. Let k = 0.2 + 0.1. What is the third smallest value in -2, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*i**4 - 37*i**4 - 4*i - 11*i wrt i.\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -45. Let j = 36 - f. Let x be (-2 - -8) + 10\/(-10). Put j, x, -1 in ascending order.\nAnswer: j, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281 - 293. Let o be (-10)\/t - (-364)\/168. Solve -5*y + 2 = -o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1124\/(-3))\/((-132)\/2673)?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -0.14.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*l - 30*l - 882 = 414 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 = 198*n - 186*n - 106 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 46*o + 168. Calculate y(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 601122.\nAnswer: 6612342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -5, 0, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 466715 or 466772?\nAnswer: 466715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4 + 19. Does 2 divide (-14)\/(-4) - r\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -13*w - 1182. Let g(d) = -15*d - 1180. Calculate 6*g(t) - 7*n(t).\nAnswer: t + 1194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1386 + -1391. Let w = -1\/12 - 1\/6. Let u = 16\/3 + -41\/6. What is the nearest to w in 0.3, u, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * -420.31.\nAnswer: 798.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 45\/8 (b) 3 (c) 32\/5 (d) -1\/9 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 36*i + 39*i - 19 + 58 - 10*i. Is a(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*h - 334*h = 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/8585060 and -93\/2.\nAnswer: 8585060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14579, -29206, -43831, -58454, -73075, -87694?\nAnswer: -102311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.89 + -4723036?\nAnswer: -4722907.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 4*r**2 + 5*r - 3. Suppose -q = 3*m - 13, -4*q - q = -20. Let t be o(m). Solve 6 = 6*b - t*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/7 - 3786*j\/7 - 7568\/7 = 0.\nAnswer: -3784, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g + 0 - 8\/3*g**2 = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3033.3 + 3033. Suppose 3*i + 3*u = 63, 0*i + 3*i + 2*u = 64. Which is the third biggest value? (a) i (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*z + 3 = -299*z + 183*z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 14. Let r be b(-5). Suppose 3*q + 171 = -3*n, 3*q + 149 = 4*n - r. Let j = 71 + q. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*s + s - 4 - 25 - s**2 as l + p*s**2 + r*s and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + -0.05. Let d = 4.9 + y. Let a = -0.3 - 0.2. What is the nearest to -1 in d, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*b, 0 = k - 5*b - 757 + 237. Let s = k - 266. Suppose 5*q - s = -4. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -26049\nAnswer: 7814.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874672994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13969920 divided by 340\nAnswer: 41088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/7 - 156*h\/7 - 280.\nAnswer: 4*(h - 49)*(h + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Simplify (n**(-4\/11)\/(n**5\/n))**(6\/13)\/(((n\/n**(-4\/3))\/n)\/n*n**(-6\/7))**(-19) assuming n is positive.\nAnswer: n**(-35935\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 13*b**3\/3 + 3*b**2 + 9*b + 4. Is f(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/6, -4, 0, 1?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -600939758 to the nearest one hundred thousand.\nAnswer: -600900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 93*k**2 + 63*k**2 + 15 - 14)*(6*k + 6*k + 26*k).\nAnswer: -1140*k**3 - 38*k**2 + 38*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wln when three letters picked without replacement from awnwaggnanjgnwngln?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -267418, -267417, -267416, -267415, -267414?\n\"Answer: h - 267419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {i: 2, d: 5, q: 9}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1505 and (-94)\/(-12) + 288\/1728.\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -145\/153?\nAnswer: -145\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*68\/(-8) - (-31 - (-15228)\/1053)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 7*o**2 - 14*o + 1. Let i(r) = -9*r + 9. Suppose 0 = p + 3*p + 3*w - 47, 0 = -2*p - 5*w + 41. Determine p*i(h) + 5*z(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -0.42, 2.5, -708 in descending order.\nAnswer: 2.5, 0, -0.42, -1, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -17. Let w = -6 - -9. Suppose u*i = -w*y + 18, -16 = i + i - 5*y. Solve -3*j + 5 = i*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -393, -789, -1187, -1587, -1989, -2393, -2799?\n\"Answer: -r**2 - 393*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1*w**30 assuming w is positive.\nAnswer: w**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 + 4*t + 1. Let m = -994 + 988. Let v(r) = 11*r - 2 - 4*r**2 - 6*r + 0 + 3. Give m*v(s) + 7*x(s).\nAnswer: 3*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 4. Let j = -6 + 0. Let l be t(j). Suppose -r + 8 = y, 3*y - 2*r - 24 = l*r. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -12 - 0, 0 = 2*x - k - 111. Let r = -215\/4 + x. Let h = -0.54 - 1.46. What is the nearest to r in h, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -21*w**5\/20 + 17*w**3\/2 + 16*w**2. Find the first derivative of q(x) wrt x.\nAnswer: -126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22.44411ml?\nAnswer: 0.02244411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:15 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9875*n. Let i(u) = 27*u. What is q(i(m))?\nAnswer: -266625*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.167078km?\nAnswer: 167078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:45 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*12\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -49. Suppose 0 = -k*w - 23 - 1. Is 656\/12*w\/(-2) - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 + 2*s + 4. Let u be m(3). Suppose -u = 2*w + 3*w. What is the nearest to 2 in w, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szfuhhh. What is prob of picking 2 h and 1 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1683 and 1113959?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 308?\nAnswer: 1\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 10*q - 9. Let d(w) = -2*w. Let l be d(-2). Suppose -l*i - k + 16 + 14 = 0, 0 = -5*i + 2*k + 31. Does 6 divide o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/6, 1, 509, -111.91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113901 = -5*v - 5*w + 186094, 5*v - w = 300001. What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/20*-22*2. Let k(u) = -4*u - 42. Calculate k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l + 43. What is x(16)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*g - 950, -3*c + g = 2*c - 2429. Suppose -4*v + c = -j, -v + 0*v = 5*j - 116. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 39727675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 - 11. Let x(f) = 313. Let p(v) = 57. Let r(l) = -11*p(l) + 2*x(l). Determine c(h) - 6*r(h).\nAnswer: -4*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5794009436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-8 - -7) - -1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -35022256 equal to -35022225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/134 - 149\/670. Put 3, 0.2, m in descending order.\nAnswer: 3, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwddsd. What is prob of sequence sd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35578564?\nAnswer: 2, 7, 19, 66877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 40. Let k be 1*(-2 - p)*16\/128. Which is the closest to k? (a) -1\/5 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 8:15 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -p + 100 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526962?\nAnswer: 2, 3, 71, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkf. What is prob of picking 1 k and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 25 = -33. Let k(o) = 11*o**2 + 3*o - 3. Give k(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.58 in -0.5, -21, 24, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(19) + 0 + 0 - (sqrt(114)\/sqrt(2))\/sqrt(3)) + -4)**2 + 1 + sqrt(19) + 1 + sqrt(2299) + -1*sqrt(1539)*5.\nAnswer: -33*sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85783 or 85789?\nAnswer: 85783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -265.95, 49 in descending order.\nAnswer: 49, 3, -265.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388, -780, -1172, -1564, -1956, -2348?\nAnswer: -2740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-13)\/(k**(-2\/15)*k))**(2\/93))**25 assuming k is positive.\nAnswer: k**(-2080\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97864 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 14*h**2 + 13*h + 13. Suppose -15 = -5*q + 2*q. Suppose q*u = -4*c + 12 - 64, 3*u = 2*c + 26. What is the remainder when 24 is divided by s(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 5*t**2 - 6*t - 6. Let q be u(-5). Calculate the greatest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*f**2 + 38286*f + 14235535 wrt f?\nAnswer: -112*f + 38286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 4, o: 1, e: 3, x: 1}. Give prob of sequence xi.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {g: 1, z: 6, w: 5, l: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, -0.05, -1 in descending order.\nAnswer: -0.05, -1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 272516\/59 - 4619. Is -0.3 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f - 5 = -24*f. Suppose 0 = -3*i + f*d + 37, i - 18 = -i + 2*d. Find the common denominator of ((-128)\/(-18))\/i + (-14 - -14) and -27\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/127352 and 67\/159190.\nAnswer: 636760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 18*y**2 - 2*y + 0*y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -29*m**5 - m**4\/4 + 1135*m**3\/6 + 1214*m. What is the second derivative of n(r) wrt r?\nAnswer: -3480*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/(sqrt(24)*-3) - ((sqrt(50) - (sqrt(7200) - (sqrt(7200) + 0) - sqrt(7200))) + sqrt(150)\/(sqrt(3) + sqrt(12)))) + -2)**2.\nAnswer: 270*sqrt(2) + 18233\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 507675332 - -0.16.\nAnswer: 507675332.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 15*u - 300. Let v be l(21). Which is bigger: v or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((-3 - -3) + 3\/2). Let j(i) = -2*i**2 + 3*i + 5. Determine j(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.37.\nAnswer: 0.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 - 9 = 2*t, -3*t - 21 = -3*b. Solve r + 1 = -b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361027.\nAnswer: 19, 71633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -5477*k**6\/60 + 11*k**4\/8 - 14*k**3\/3 - 1995*k**2 + 2. Find the second derivative of u(d) wrt d.\nAnswer: -65724*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4\/7 + 1564*j**3\/7 + 186684*j**2\/7 + 6319924*j\/7 + 3198832 = 0. Calculate j.\nAnswer: -169, -49, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 22*r**2 - 3 - 2.\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -688145?\nAnswer: -1\/137629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2760)\/27 + -3 - (-12)\/54. Let r = b - -106. Solve y + p = -y + r, 2*y + 4*p = 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Suppose 3*f - 2 = -z + t, 0 = -3*f - 5*z - 4. Let b(v) = 6*v + 4 - 1 + 2*v**f - 3*v. Calculate b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1946977272 and 2148.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 132 = -26*y - 91 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -531 - -533. Determine r so that -2\/5*r + 4\/15*r**i - 2\/5*r**4 + 2\/15 + 2\/15*r**5 + 4\/15*r**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 18*o**2 + 41*o - 26. Determine j(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-104)\/(-56) + (4 - 81\/21). Let d be ((-30)\/(-40))\/(r\/4). Factor 0 + d*o**4 - 3\/2*o**2 - 3\/2*o**3 + 3\/2*o.\nAnswer: 3*o*(o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2535 times -12\nAnswer: -3.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -240c (base 16) in base 6?\nAnswer: -110420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7752*380.\nAnswer: -294.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 4\/3963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 3, f: 6, i: 2, k: 1}. What is prob of sequence fczz?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -5*f + 20, 0 = 4*f - 8*f - 2*t - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3808 and 44268.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-1\/3)))**(-2\/107)*(p*p**(-1\/7))\/p**(-3)*(p**(-3)*p**2*p)\/(p**(2\/5))**(-43) assuming p is positive.\nAnswer: p**(236647\/11235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -114 + -1?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 0 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76444169 rounded to the nearest one hundred thousand?\nAnswer: 76400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*m**3 - 4*m**2 - 363*m - 1.\nAnswer: 1788*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -327 + 472. Let o = g + -97. What is the smallest common multiple of 8 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18521869?\nAnswer: 233, 79493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 10 + 5 + (4 - 4 - 2)*(-1 + 2 - 2) + 0 + 2 + 0)*(44*f - 75*f + 36*f + 2).\nAnswer: 130*f + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(30\/8))\/((-2)\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 38 = 2*t - 6*t, -4*s - 2*t = -14. Suppose s*r = 2*r + 16. What is the greatest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6241 and 9638.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from trrttt?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -49073\nAnswer: 9\/49073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 2*z**2 - 7*z + 11. What is d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23\/3)*d*d*d**(-2\/7)\/d*d*(d**(-13)*d)**42)**(-2\/35) assuming d is positive.\nAnswer: d**(21418\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 4.04. Let l = 4.00003 - n. Round l to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 5*t + 1. Let u(d) = -d**2 + d. Let n(m) = k(m) - u(m). Let j be n(3). Differentiate -2*q**4 - 3*q**4 + j*q**4 + 2 wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(208)*2 + -1 + 4) + 1)**2.\nAnswer: 704*sqrt(13) + 13433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 6:21 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2512 (base 8) in base 7?\nAnswer: -3643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5670395.\nAnswer: -2\/5670395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1609 times -179.6?\nAnswer: 288976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*d + 42*d - 21. Solve -h - 15 = -5*m, h - d = m - 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 19*m**6\/120 + m**5\/15 + m**4\/24 - 5*m**3\/6 + 36*m**2. Let j be k(2). Is 2\/(-11) - (-49860)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-1166) - 54120\/(-1590)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-29 - -3 - -4) + 8\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-120)\/(-23 + 3) - 2. Solve 9*f + 3*v - 5 = 5*f, -5*f + o*v + 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2016)*-2*3*-4)\/((3*sqrt(7)*1 - sqrt(7)) + sqrt(14)\/sqrt(18) + sqrt(7)) + 2.\nAnswer: 2 + 2592*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/4))**3)**17\/((u*u\/(u**6*u))\/(u*u**(-1)*u)*(u**(-1)*u)\/u*u**0) assuming u is positive.\nAnswer: u**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -24. Suppose -57 = 3*z - 9. What is the units digit of (x\/z)\/((-6)\/92)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3547, -16125, -37599, -67975, -107259, -155457?\nAnswer: -212575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/4)\/q)*(q**2\/q)\/q)\/(q**(-1)\/(q**6*q)) assuming q is positive.\nAnswer: q**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 78. Let i be (1164348\/99)\/(-6) - (-4)\/q. Round i to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32 = -4. Let v(w) = -w**2 + 7*w - 5. Give v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.75776 decades in months?\nAnswer: 6210.9312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13728170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-13)))\/m)\/(m*m\/((m\/m**9)\/m)*m))**(-14\/11) assuming m is positive.\nAnswer: m**(364\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b + 4*b + 12*b - 22*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*z + 473*z**2 + 597*z**2 + 609*z**2 - 48*z - 3 in the form f*z**2 + k + h*z and give f.\nAnswer: 1679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1189 and 123.\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2029 divide 4766353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 39*h - 334. Calculate the lowest common multiple of x(-47) and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, -3, -124, -353, -726?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:50 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r*r*r)\/r*r**(-10)\/r*r**(2\/19)*(r\/r**3)\/r assuming r is positive.\nAnswer: r**(-340\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11653630 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -10. Suppose 2586 = v*x - 906. Suppose 57 = -7*i + x. Calculate the remainder when i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.7\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1568 and 99\/128.\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 19*f**4\/12 - 4382*f. Let t(d) = 25*d**2 - 3*d. Give t(z(r)).\nAnswer: 9025*r**4 - 57*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3 = -h, -38 = 5*r + h + 3*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4, 0*o = o + 3*k. Let g(u) = u + o - 3 + 2 - 4. Let c be g(6). Solve c*q = -t + 25, 2*q - t = -2*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.0038 * -2\nAnswer: 2.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 206252 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/14522058 and -103\/4840686.\nAnswer: 14522058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11731451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 225753.75 months in millennia?\nAnswer: 18.8128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5861, -246.\nAnswer: -5861, -246, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 106 = 2*t, -8*d - 167 = -4*t - 3*d. Let v = t + -7. Suppose 0 = 4*r - 63 - v. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**2 + 22 + 16*j**3 + 100*j - 2*j**2 - 48 - 99*j - 45 wrt j.\nAnswer: 96*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1006198 divided by -6\nAnswer: 503099\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddjdddadaajddawwdd. What is prob of picking 1 j and 1 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493*c + 23820 + 12567 = -25238. Solve 28*h - c = -41 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.708 + 19.708. What is the third biggest value in 4\/5, w, 0.4, 25.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60267 - -578922\nAnswer: 639189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -9*b - 5*b. Solve 4*x - b*x + 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126611264 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 + 9 = 0. Find the first derivative of -v + 3 + b**2 + 3 + 2*b**2 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**4 + 15887*n**3 + 5*n**2 + n - 161?\nAnswer: -24*n + 95322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*s - 10, 0 = 14*w - 9*w + 2*s + 2. What is the fourth smallest value in w, -1\/6, -3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -1, -31, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -7*v**5\/10 - 8*v**4 + 145*v**3\/6 + 11*v**2\/2 - 10. Find m, given that o(m) = 0.\nAnswer: -11, -1\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*r + 101*r + 80 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 286 (c) 2 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1678.68 - -1680. What is w rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-350)\/(-20)*32\/56*1\/2. Solve -2 = 2*i - 2*z, -1 - 13 = -4*i - y*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1043*p - 1043*p - 1 + 2 - 3 + 105*p**2.\nAnswer: 105*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 353 - 1?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a. Let l(p) be the third derivative of -4*p**2 + 2\/3*p**3 - 1\/60*p**5 + 0*p + 0 + 0*p**4. Let m(b) be the first derivative of l(b). Give f(m(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331 - (-4)\/(((-8)\/(-40))\/((-5)\/(-20)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15*p**2 + p - 1. Let o be x(1). Let f = o - 7. Let b(h) = -h - h**2 + 1 + 3*h - f*h. What is b(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. What is the tens digit of 0 - ((k - 3) + -37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let l(s) = -3*s - 1. Calculate -3*l(x) - 12*p(x).\nAnswer: -3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -2984.\nAnswer: -26856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 + 6615*r**4 + 296350*r**3 + 3371050*r**2 - 296355*r - 3377665 = 0 for r.\nAnswer: -1277, -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12974332 and 13769?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -4 + -5 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from ffdhqhffddfqffdfh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 70.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258 (base 9) to base 6.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 10 - 0. What is the second smallest value in n, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1467 + -0.193. Let c = -473.0463 - p. Let i = 472.733 + c. Round i to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k - 1. Let w(d) = d**2 - 27*d + 4. Let s(m) = -4*h(m) - w(m). Let x(v) = -36*v**2 - 10*v. Give 10*s(i) - x(i).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjkjjgjk. Give prob of sequence kjkg.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15701 = 12881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - (-4 + 16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2684 = 2702. Let u be (5\/(-90))\/(2\/3). What is the smallest value in v, 2\/11, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 5*k + 2. Let f be x(5). List the prime factors of 30\/(-4)*(f + -4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 836*w**2 + 785*w**2 - w.\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0)**(2\/7)*((y**1*y*y)\/y*y)**(1\/13) assuming y is positive.\nAnswer: y**(47\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -7 + 8*n + 4*n**4 - 5*n**4 - 3*n**4 + 5*n**4. What is the first derivative of d(p) wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 27*l - 27 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330673.\nAnswer: 7, 97, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 3*v. Let i be n(-2). Solve 18 = -4*u + i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 66*g - 1073. Let k be c(-30). Let p(n) = -2*n**2 + 12*n - 2. Determine p(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46.58 - 47. Let v = b + 0.02. Let q = -0.07 + -4.93. What is the second smallest value in v, 0, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232906?\nAnswer: 2, 101, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 3 + (-1)\/2)*(-24)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 4:47 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1627313771121.1 - -1627323529333.30000016. Let m = 9758213 - q. Let r = -0.8 + m. What is r rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 1. Let z(o) = 4*o + 2. Suppose 3*g = 5*j + 32, 5*g = -3*j + 10*g - 32. Let d be 12\/(((-30)\/(-4))\/5). Determine d*n(b) + j*z(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 7*f**2 - 6*f + 2. Let r be g(-5). Let b = -8618 + 8601. Is r >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/4 + 730*v**4\/3 + 213160*v**3\/3 + 7483*v. Factor p(f).\nAnswer: 5*f*(f + 292)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -3*l**5\/100 + 7*l**4\/20 + 28*l**3\/5 + 72*l**2\/5 + 3*l + 79. Factor y(o).\nAnswer: -3*(o - 12)*(o + 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612.3654 months to decades.\nAnswer: 5.103045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*k**5 + 32*k**4 + 2*k**3 - 46215*k**2 wrt k.\nAnswer: -1140*k**2 + 768*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -79*v - 226 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1583 (base 15) in base 12?\nAnswer: -2813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 92. What is the tens digit of n(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 2. Suppose -24*j = -8*j - 9*j + 65*j. Solve 10 = -j*l - q*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1.5, 6, -21\/2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68544 and 127296?\nAnswer: 891072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -14*u + 121. Calculate the smallest common multiple of u and 11 - (-9 + 17) - (0 + 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s\/(s**(-26)\/s))\/s))\/(s*s**(-40)))\/(s*s**(-1\/9)*s*s**(-28\/9)) assuming s is positive.\nAnswer: s**(137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 58 - 10*n - 32 to the form u + t*n and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.46701115 rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/15 + 2702*t\/15 - 267852\/5 = 0.\nAnswer: 442, 909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Suppose 7 = l*m - 3. Let f(v) = -3*v**2 + 2 - v**3 - 4*v**2 + 3*v + 4*v**m. What is f(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3338564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/99 and 29\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.7 less than 0.5?\nAnswer: -293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t*t**(1\/4))))**(-5\/11)\/(t**(2\/11)\/t**(-3\/5)) assuming t is positive.\nAnswer: t**(-397\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**16*l*l*l\/(l**(2\/5)*l) assuming l is positive.\nAnswer: l**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -0.01. Let o = 0.04 + g. Round o to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670175?\nAnswer: 5, 11, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1175*j + 261*j + 1802*j + 1728*j + 1153*j as x*j + m and give x.\nAnswer: 3769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1717344 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -1082*r**3 - 927*r**2 - 1522*r**2 + 1078*r**3 - 511*r**2 = 0.\nAnswer: -740, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3184 and 6567.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 - (46 + 73) - -29?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 - k. Let x be 43\/(-3 + 2*(-3 - -4)). Let i = x + 44. Determine r(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181382 - 106382. Let f be (w\/14)\/((-2)\/(-28)). Round f to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 71*t - 4486 + 970 = 602, 3*t - 3 = -o - 177 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + 682879796994.\nAnswer: 682879797002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3665*m**2 - 1422060*m + 15520 = 0. Calculate m.\nAnswer: 8\/733, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 81, 162, 247, 336?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 8:46 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a - 16*a + 58399*a**3 - 17*a.\nAnswer: 58399*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 443\/4 - 111. Which is the smallest value? (a) i (b) -0.1 (c) -3\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsstssssissstsss. What is prob of picking 2 s?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/4, 0.7, -2, -2\/13, 608?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - 25. Suppose -5*c + 35 = 4*x - 0*x, 0 = -2*c - s*x - 3. What is the smallest common multiple of c and 2\/5 - (-16)\/10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 3:46 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/120 - z**5\/12 + z**4\/8 + 5*z**3\/3 - 18*z**2. Let q be y(-6). What is the highest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 2, 4\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 52273\/3252?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84, 330, 752, 1356, 2148, 3134?\n\"Answer: y**3 + 82*y**2 - 7*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + 2. Suppose 48 = 3*z + c - p*c, -4*z = c - 71. Calculate the remainder when z is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*(-52)\/6. Let d = z - 8. Suppose d*w - 2*w = -9. Which is smaller: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 110*s**2 + 235*s + 120.\nAnswer: -5*(s - 24)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 1787*f + 12346. Determine d(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2234\/9 - 248. Suppose 527*s - 531*s - 28 = 0. Which is the nearest to s? (a) l (b) -5 (c) -1\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -157 + m + 51*m**3 - 1\/2*m**2. What is the derivative of y(b) wrt b?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5621484 divided by 6.\nAnswer: -936914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.002 + -0.075. Let d = -185.523 + a. Let y = -206 - d. What is y rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7826, 16009, 24194, 32381?\n\"Answer: u**2 + 8180*u - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -u. Let d = u - 3. Let x = 13 - d. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y + 2*m, -4*y + 5 = -m + 4*m. Sort -2, y, 3.\nAnswer: -2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15515 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 4191537.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(4\/11)*i*i**(-5\/3))\/(i**(2\/13)*i*i**15*i))**7 assuming i is positive.\nAnswer: i**(-49420\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 0.0824 (c) -1 (d) 137 (e) 4 (f) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000132246268 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.82664ml in litres?\nAnswer: 0.07782664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 4:45 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 - 5*g**2 + 2. Let r be c(-2). Suppose -r*v = -11*v + 15055. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259984, -259992, -260000, -260008?\nAnswer: -260016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 4.065, -3, 0, -0.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 457 = 5*s, 0 = 4*u + 5*s - s - 620. Suppose -k + u = 3*f - 11, 0 = -2*f + 4*k + 90. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*-1*6. Let q(c) = 7*c**2 + 3*c + 14. Let g be q(9). Let x = 624 - g. What is the greatest common divisor of m and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -1\/40*o**6 + 0*o - 1\/60*o**5 - 1\/105*o**7 + 0 + 0*o**3 - 4*o**2 + 0*o**4. Factor s(y).\nAnswer: -y**2*(y + 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 less than -200?\nAnswer: -199.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1904, -2197, -2488, -2777, -3064, -3349?\n\"Answer: l**2 - 296*l - 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/1 - 6\/6. List the prime factors of -1 - (-113 - (-4 - s)).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 5)*(-4)\/(-8). Suppose u*n = -g + 4, 4*n - 10 - 12 = 5*g. Sort n, -5, -0.4 in descending order.\nAnswer: n, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 6, e: 2, a: 4, r: 2, p: 3}. Give prob of picking 1 e, 1 p, and 1 a.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/30 - d**4\/12 - 5*d**3\/6 - 63*d**2 + d. Let h(y) = 1. Give 4*h(q) + i(q).\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -15*i**2 - 12748*i - 32. Let h(a) = 2*a. What is c(h(d))?\nAnswer: -60*d**2 - 25496*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = 2, 2*t - 495 = -m. Let y = 2339 + -2335. Calculate the least common multiple of y and t.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = -5*x, -2*l - 2*l - 5 = -5*x. Suppose -5*j + 10*d = 8*d - 5, 5*d - 16 = 3*j. Solve l*f + 0 - 2 = -j*n, 3*n = -4*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 - -295. Suppose -n - 123 = -2*t, -19*t + 16*t + 191 = 5*n. Let w = t - z. Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 + 5*j - 7. Let v(a) = a**2 + 1. Let t(w) = -3*w**2 - w - 1. Let g(b) = t(b) + 2*v(b). Let n be 64\/10 + (-2)\/5. Give n*g(z) + l(z).\nAnswer: 2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128687 = 77*t - 96*t. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 + 4*y**3 + 590*y**2 + 682?\nAnswer: -8*y**3 + 12*y**2 + 1180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4421504?\nAnswer: 2, 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i - 230 + 184 = 184 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 285\/154 + -4\/231. Let f be (-17)\/(340\/(-30))*(-19)\/(-18). Let j = f - w. What is the second smallest value in j, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((-8)\/4)\/1. Suppose -i + 2*i - 3*d - 6 = o, 0 = 4*i + 5*d - 7. Solve j + i*v = 0, -4*v = 2*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -61604*c + 61610*c. Put 8, c, 4, 1, 7 in decreasing order.\nAnswer: 8, 7, 4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 21*s + 32 = 0. Let x = -61 + 66. Let l = -31\/2 + 16. Which is the nearest to -1\/3? (a) l (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457529 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m - 324 - 275 + 169 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -188557 - -3788?\nAnswer: -184769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191*w**5 + 294*w**2 wrt w.\nAnswer: 11460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -395\/516 + 2\/129. What is the third biggest value in -4, -1, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41658348 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1 (b) -2\/7 (c) -0.5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232774 >= 231406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2. Let l(k) = -7650*k. Give l(o(n)).\nAnswer: 15300*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*m - 6 - 44, -4*b = 5*m + 5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * 0.09.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8586, -8556, -8506, -8436, -8346?\nAnswer: -8236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ffoafggaafagafagff.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 501429?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 43*r + 217, -3*y = 5*r + 34 - 167 + 18 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15 = 2*x - 3*r, 5*r = 4*x + 32. Let f be (7\/(-2) + 4)*3\/x. What is the nearest to -0.1 in -46, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 27*y**3 + 160 - 10*y - 483 + 161.\nAnswer: -27*y**3 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000101010 - 1?\nAnswer: -1010000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -371, -760, -1155, -1556, -1963?\n\"Answer: -3*s**2 - 380*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*0\/12*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 j when three letters picked without replacement from iippjpprimp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b + 15 = 45*b. Let g(n) = -2 + 3*n - 6*n**2 - n**2 + 3*n**2 + 2*n**b. Calculate g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8266, -8804, -9342, -9880, -10418?\nAnswer: -10956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -115174486.43 to the nearest one thousand.\nAnswer: -115174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1037 in 14\/5, 5, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/3 + 2\/(-6). Let f(o) = 9*o + 99. Let w be f(-6). What is the greatest common factor of w and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78966 divided by 1095.\nAnswer: -26322\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 892, 2001, 3554, 5551, 7992, 10877?\nAnswer: 14206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3357747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h - 25. Let n be -2*1\/4*(2 - -76). Let i = n - -44. Let t be o(i). Calculate the greatest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1428464 or -1428540?\nAnswer: -1428464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -29*v + 175. Let h be o(6). Which is the fourth smallest value? (a) -0.3 (b) -1\/4 (c) -2.2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + 13. Determine o(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1310 = -2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*t + 2*t. List the prime factors of (-2)\/t - (-278)\/6.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**3 - 22*t**2 + 18*t - 16. Let z be j(-16). Suppose 0 = 3*a + z - 318634. Let b be (a - -4) + -1 - 1. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 + 7*q**2 + 11*q - 11. Suppose 19 - 1 = 3*l. Let j(n) = -2*n**3 + 4*n**2 + 6*n - 6. Determine l*i(t) - 11*j(t).\nAnswer: -2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11807682235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/24)\/(2\/3). Let n be -1 + 8 + -3 + x. Find the second derivative of -4*s**5 + 12*s - s + 6*s**n wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + w. Let n(s) = 3*s**2 + 4*s - 2. Let q(k) = 4*b(k) - n(k). Let i = 3 - 3. What is q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f - 34. Let s be t(5). Put 2, 5, 14, s in descending order.\nAnswer: 14, 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10439 - 10660 = 14*v + b, 5*v - 10*b + 110 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/7 - 4420*b\/7 - 57122\/7 = 0 for b.\nAnswer: -2197, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -16, -4 in descending order.\nAnswer: 1, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pip when three letters picked without replacement from {i: 4, p: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1619*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3247 + 3255 - 6549 - 42*g - g**2 + 6*g to the form q*g + m + n*g**2 and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*g, -6*p + 11 = -p + 3*g. Let q(x) = 19*x**2 - 6*x + 24. What is the units digit of q(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 11\/12*n**4 + 0*n + 25*n**2 + 10\/3*n**3 + 0 - 5\/24*n**5. Let u(a) be the first derivative of z(a). Differentiate u(m) wrt m.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 19*d = -3 - 97 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 0, 3\/2, -8, -0.2, 132 in decreasing order.\nAnswer: 132, 3\/2, 0, -0.2, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/28 + 1)*-295. Let j = b - 15755\/126. Find the common denominator of j and -41\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.1? (a) -0.3 (b) 0.3 (c) -98\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 13\nAnswer: 49\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -182, -500, -1014, -1760, -2774, -4092, -5750?\n\"Answer: -6*n**3 - 44*n**2 + 16*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11028*t**4 - t**3 + 5*t**2 + 386081*t + 1 wrt t?\nAnswer: 132336*t**2 - 6*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(11)*-2*1.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 3. Let n = 79 + -75. Calculate c(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*g**4 - 70*g**4 + 32*g**4)*(-30*g + 13*g + 27*g).\nAnswer: -110*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84137041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5212 (base 14) in base 6?\nAnswer: -145224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-4392.55.\nAnswer: -1757.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -137001\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a day in minutes?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/8)\/(20\/4)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7.1. What is the third biggest value in 1, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93985?\nAnswer: 5, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = -93053 + 1245203. Is y a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -244636104 - 5?\nAnswer: -244636112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 19*j**2 + 115*j + 727. Give k(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 9:17 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, -42, -312, -686?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2604*w**3 + 6*w. Let j be v(6). Let t be ((-124)\/5)\/(9\/j). Round t to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10*d**2 - d + 14. Let x(p) be the first derivative of 6*p**3 - p**2\/2 + 25*p - 99. Let c(j) = -7*r(j) + 4*x(j). Determine c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111110011 (base 2) to base 14\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 79633.52us?\nAnswer: 0.07963352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -0.09725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150 - 154 - (-6 - (-3 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 3*i - i)*(7 - 7 + 4*i**3) + (-46 - 22 - 57)*(i**4 + 6*i**4 - 9*i**4) as b*i + r + k*i**3 + s*i**4 + o*i**2 and give s.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, w: 6}. What is prob of sequence ppww?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/83306 and 89\/170234.\nAnswer: 3915382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (4\/2 + -26). Find the second derivative of c*w**5 + 7*w + 5*w**5 - 15*w wrt w.\nAnswer: 500*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1053) + -2 + -1 - sqrt(156)\/(4*sqrt(96)\/sqrt(8))))**2.\nAnswer: -210*sqrt(13) + 16069\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21508103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 9 + 41. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 13, 82, 169, 268, 373?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73.000599 - 73. Round b to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239620619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1206 + 107615262\nAnswer: 107616468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60036 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {h: 2, s: 4, l: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -668 (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 3. Let t be l(4). Is 9\/10 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 17*j = 10. Suppose k = -0*w + 2*w - 26, -w + 3*k = -3. Let i be w - 2\/4*-2. Solve 0 = -j*o + o + i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(3*4\/(-18)). Let s(g) = -2*g**2 - 4*g**3 - 3*g + 1 + o*g**3 + 3*g. Calculate s(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f + 2 = 3*x, 5*x - 3*f = 5. Let u be ((-18)\/15)\/(x\/(-10)). Suppose 0*d + 3 = -d + 4*y, -u*y - 53 = -5*d. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 20*l**2 + 31*l - 14. What is the tens digit of c(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 + 2831*s**3 + 45040*s**2 = 0. What is s?\nAnswer: -2815, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/33))**24\/((n*n**(-2)*n)\/((n*n*(n*n**16*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20142 (base 5) to base 10\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-7 - -3)) + -3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-64)*-4*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b49c7 (base 13) to base 10.\nAnswer: 695936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 214, 221, 228, 235?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 6*m. Let k(g) = -6*g**2 - 13*g. Determine -2*k(t) + 5*y(t).\nAnswer: -3*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22270420 - 14365568. Suppose -3*m = -7125148 - b. What is m rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at most as big as 7712\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 38*b - 129. Calculate j(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6140243918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/27 + 17\/27. Let l = 347\/14 - 184\/7. What is the nearest to a in 0.01, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -429*c + 1 + 568*c - 1 to the form m + s*c and give s.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541.042578 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 400319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 59723*l**2\/3 + 298634*l\/3 + 119456.\nAnswer: -(l - 59728)*(l + 2)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15783, 15752, 15687, 15576, 15407, 15168, 14847, 14432?\n\"Answer: -2*r**3 - 5*r**2 - 2*r + 15792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 32, 4, 1\/3, -2, 20?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 11) to base 3\nAnswer: -10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2035502 (base 6) to base 13\nAnswer: 35a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 260200 = 2*y, 3*y = 7*y + 2*r - 520382. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5320925 is divided by 1330226.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.6928674 + -541.3093626. Let x = 545 + z. What is x rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/691? (a) 1\/18 (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/5, 1\/4, -1\/4, -37\/3, -0.2 in descending order.\nAnswer: 1, 2\/5, 1\/4, -0.2, -1\/4, -37\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4663516*n + 3456160 wrt n?\nAnswer: 4663516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7238 - -14475\/2. Let x = 9.82 - -0.18. Let n = -6 + x. Which is the biggest value? (a) n (b) g (c) 1\/4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from ztlalhwah.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23300838568 - 4045072177484509\/173602. Let k = b + 6\/7891. Calculate the common denominator of -41\/20 and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*f + 96 = 0, 1661*f - 39 = a + 1666*f for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7 = p, 4*h + h = 4*p - 2. Let r = -54 - -57. Suppose -2*i = 4*k - 20, -2*i - r*k + 26 = -k. Solve 4 = -4*n, -2*n - i = -h*s - 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 915*m**3*v + 10*m**2*v - 119*m**2 + 27*m*v + 3*m + 22*v - 142 wrt m.\nAnswer: 5490*m*v + 20*v - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4204*g**2 + 8410*g**2 + g**3 - 4206*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -992 - -2262. List the prime factors of k.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62.65689 - -2.\nAnswer: -60.65689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -21*s + 30. Let w be v(-5). Calculate the greatest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 1, a: 5, d: 9}. Give prob of sequence aa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 5*(5 + sqrt(275)*-2)*2)*3)**2.\nAnswer: -91800*sqrt(11) + 1013409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -208479?\nAnswer: 208476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33030, -66075, -99120, -132165, -165210, -198255?\nAnswer: -231300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2310, 4612, 6930, 9270, 11638, 14040, 16482, 18970?\nAnswer: 21510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2)\/((-3)\/57). Let j be (-66)\/(-4) + ((-33)\/(-6) - 6). Let w be j\/(-8) + m\/(-8). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*h - 8653 - 3240 - 8828 + 2415 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47916*h + 381*h**3 + 47916*h.\nAnswer: 381*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1972)\/(-13804))\/(4\/(-88))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, -3, -53, -5, 30 in ascending order.\nAnswer: -53, -5, -3, -1, 15, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 17. Suppose 2*o - q = 12. Suppose 368 = c + o*c. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1428077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 11. Let p be r(-8). Put 1, 2, p in descending order.\nAnswer: p, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -157*z**2. Let t(i) = i. Give j(t(o)).\nAnswer: -157*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23617729054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 64.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 12*g**2 + 31*g. Let o be q(-8). Solve 2*s - o*s = -24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(s + 3*s - 14*s)*(-3 + 1 + 1).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (0\/5)\/2. Suppose -9 = 5*y - 24. Suppose f = -5*j, -s = j + y*j + 1. Which is smaller: s or 39?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -38*b**2 - 67261 + 67259 - 86*b**2 + 13*b**2. What is l(-1)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 71981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5\/2 - 9*c**3\/2 + 3*c**2.\nAnswer: 3*c**2*(c - 1)**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6810 - -708148.327.\nAnswer: 714958.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219, 2397, 3575, 4753, 5931?\nAnswer: 7109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose 5*y + 2*m = 651 + 74, 2*m + 745 = 5*y. Suppose 5*j = -q*j + y. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255 - -381. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 0*f**3 + 7*f**3 + (3*f + 2*f - 6*f)*(-80*f**2 - 15*f**2 + 7*f**2).\nAnswer: 92*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**3 - 50*m**2 - m + 142. Calculate q(-6).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(2\/7)*p*p))**(-47)\/(p\/(p**(3\/10)*p)*p\/(p*p**4*p))*((p**(-3))**(-1\/33))**(-26) assuming p is positive.\nAnswer: p**(48791\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/37771454 and 45\/4?\nAnswer: 75542908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40334110 (base 5) to base 14.\nAnswer: 8626c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 7:51 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5801039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 5*w + 3. Let r be a(6). Suppose 4*h = 20, 1 = -2*i - 14*h + 11*h. Put 2, r, -2, i in descending order.\nAnswer: 2, -2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553412 is divided by 244?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 5*w**2 + 26. Let f(l) = -6*l + 1. Let q be f(1). Let g(x) = 3*x**3 - 8*x**2 - 39. Let a(y) = q*g(y) - 8*r(y). Differentiate a(d) wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1179)\/(-15) + (-2)\/(-5) is divided by (-86)\/(-1763) - 4420\/(-164)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 554 and 30.\nAnswer: 8310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 - (-30 + 9 - -15). Let c be 1\/(-3 - (-597)\/198). Calculate the highest common factor of c and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 985 = -5*k, 2*w - k - 288 - 197 = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1\/((-3)\/(-889)) - (-24)\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u\/u**19)\/u)\/u)\/u**(-17))\/(u*u\/(u\/u**(-17)))**(-1\/45))**(13\/3) assuming u is positive.\nAnswer: u**(-1963\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 660293705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/68181543 or -1?\nAnswer: -2\/68181543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 3 + 3 + 93*k**2.\nAnswer: 93*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -8\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-28))\/(16\/112).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -259 + 259. Which is the biggest value? (a) w (b) 3 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -13*c**4\/12 - 7*c**3\/6 - 3*c**2 - 22*c. Let u(d) = 6*d**2 + 3*d + 3. Calculate 4*g(p) + 9*u(p).\nAnswer: 2*p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 8*n**2 + 7*n + 3. Let l be x(7). Suppose c = -l*c. Factor c*w**2 + 0*w**2 + w**3 - 4*w**4.\nAnswer: -w**3*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3724760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*d = -1547, -226*d - 1549 = -3*r - 227*d. What is the remainder when r is divided by (0 - (3 + 23))*-1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(189\/243)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -264 + 268. Suppose 7*l - 7852 = -3*w + 2*l, 3*w + y*l = 7847. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -832 or -667?\nAnswer: -667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 19. Give b(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6518, -26600, -60072, -106934?\n\"Answer: -6695*w**2 + 3*w + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) 1\/3 (c) 0.1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491766463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3705)\/(-11609))\/(150\/40).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 605113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1031 or 0?\nAnswer: 1031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20404 (base 5) to base 15\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2034562190 to the nearest integer?\nAnswer: 45106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9968*g + 3867587. Give w(-388).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 15847*q**2\/4 - 31691*q\/4 - 15845\/4.\nAnswer: -(q + 1)**2*(q + 15845)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27903 + 38*p**2 - 13953 - 13950.\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2522)\/2328*448\/(-156)\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260449*l**3 + 2*l**2 - 1807*l - 7.\nAnswer: 1562694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73184 * 51.19.\nAnswer: 3746288.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 612758, 612760, 612762?\n\"Answer: 2*j + 612756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16223.7731 rounded to 1 dp?\nAnswer: 16223.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 456147 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = -9*a + 4*a. Let h = a - -144. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avan. What is prob of sequence na?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.06 - 9.1. Let z be 10\/95 + (-336)\/665. What is the closest to -0.2 in u, z, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-2)*(-12)\/65. Let q = -120\/31 - -7676\/2015. Let i = q + f. Which is the biggest value? (a) -4 (b) 4\/3 (c) i (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1478066 = 1581934. What is u rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11504 + 6146 = -177*x + 4929 - 3917 for x.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 267120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 95139*-1\nAnswer: -95139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 303, 316, 329, 336, 331, 308?\n\"Answer: -m**3 + 6*m**2 + 2*m + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 29 = -q, -5 = -q + o + 8. What is the smallest common multiple of q and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38171133 divided by 63?\nAnswer: -605891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 102 - 0. Solve 0 = -5*u + w + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - k + 1. Let c be 2 + -4 + (0 - -3). Let n be g(c). What is the units digit of 42*((-6)\/n + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 421 + -418. Let k(z) be the second derivative of z + 0 + 1\/6*z**o - 1\/2*z**2 - 1\/2*z**4. Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5 - ((1 - 0) + (10 + -1 - 18371))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/(-32))\/((-3)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100487837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -1212.5.\nAnswer: -60.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 372317 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109.8 + 102.8. What is the third smallest value in 0.1, k, 0.019?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304756 and 840.\nAnswer: 63998760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116 - 105?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.66766 + 6646536.4.\nAnswer: 6646532.73234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1064 + 0.0226. Let z = 0.004 + b. Round z to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 13*b**2 + 10*b. Let l be d(-5). Let f be (-212)\/(-20) + (-115)\/l + 5. Factor 121\/2 + 1\/2*h**2 - f*h.\nAnswer: (h - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(6 + 10 - 10)*(-2 + 3 - 4)*(-1 + 3 + 0)*(-413 - 56*n + 413).\nAnswer: -2016*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 37*a + 27*a + 12*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + t**3 - t**3 + (1 - t - 1)*(2*t**2 - 2*t**2 + t**2) + (-3248*t**3 + 1152*t**3 + 1562*t**3)*(0 - 2 - 3).\nAnswer: 2667*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -667 (b) 1 (c) 0.14 (d) -1446\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81167.487266 minus -0.7?\nAnswer: 81168.187266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 21) + 7 + 6 + 1 + -12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001077821845 rounded to 5 dps?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 + s**4 + 2*s**2 + 3*s**2 + s**3 - 2*s**3 - 2*s to the form k*s**2 + h*s**4 + y + g*s**3 + w*s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1584343.8 months?\nAnswer: 132028.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -3)*(-3)\/6. Let c(r) = -191*r + 13. Let s(p) = -32*p + 2. Let h(f) = 6*c(f) - 34*s(f). List the prime factors of h(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93.61 times -0.78\nAnswer: 73.0158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + 3*r - 4. Let g be x(3). Let h be g\/8 - 61\/(-2). Let o = 45 - h. What is the highest common divisor of 10 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.01 (c) 0.043 (d) 5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*v - 11864 = -10480 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a - 2*a)*(2 - 2 - 1) - 15*a + 70 - 68 + 50*a + (1 - a - 1)*(2 + 2 - 3) - 2*a - 2*a + 3*a in the form x + o*a and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79527806409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-230)\/((3\/(-24))\/(34\/(-16))). Let k = -70435\/18 - q. Do -2 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2440 + 0?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-84)\/6 + 13). Which is bigger: m or -9\/518?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2888*q**4 - 6*q**3 + 2445. Let j(n) = 8664*n**4 + 17*n**3 - 7334. Let b(c) = 17*i(c) + 6*j(c). What is the first derivative of b(p) wrt p?\nAnswer: 11552*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v + 29. What is w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 516?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 543 + -883. What is the units digit of o\/8*12\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595704997 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 25*g**2. Let z(d) = 922*d + 1. What is j(z(t))?\nAnswer: 21252100*t**2 + 46100*t + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = v + 5*i, 14*i - 13*i = -2*v - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s*s*s\/s**(-8)*s*s*s**(-4\/5)\/s*s**(1\/5))\/((s\/(s**(1\/12)*s))\/s**(-5))**(-12) assuming s is positive.\nAnswer: s**(347\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**2*p**3 - 79*a**2*p + a**2 + 50*a*p**3 + a*p + 11*p**3 + 25 wrt p.\nAnswer: 54*a**2*p + 300*a*p + 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r - 36. Is (-3)\/(-2)*462\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0122247 times -4?\nAnswer: 0.0488988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.35 + 3.25. Let r = -3.8 + q. What is the fourth biggest value in r, 1\/3, 3, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2214 - -18?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 56 = -16*j. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-24) - (-12 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 71*h + 324*h)*(-7 + 5 + 1) in the form o + n*h and give n.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/3830 and -107\/15320.\nAnswer: 15320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/2 + 943*l**2\/2 + 237055*l\/2 + 6831825\/2 = 0.\nAnswer: -455, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 32. Calculate the greatest common factor of y and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 359216289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -6 - 27768\/(-356)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -237140433508.1.\nAnswer: -237140433508.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 3) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-9)\/27)*208\/(-117).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/118536 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 10430004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -886 and 0.1038?\nAnswer: -91.9668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 66699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1356605708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 8*m - 22. Give h(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 51 in ascending order.\nAnswer: -6, -3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16*1*((-8)\/(-24))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010111101000001100001011100 - -10?\nAnswer: 100010111101000001100001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 11*x + 11. Let a be d(-6). Suppose -y + a = -0. Suppose -n + y*t + 300 = 0, -2*n + 232 + 361 = -3*t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:22 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3325 - -3237. Let l = -186 - -122. Let x = l - t. Solve 3*p - 1 = 4*g - x, -4*g - p = -19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2846776 divided by 4\nAnswer: 711694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569*g**3 + 606*g**3 + 1871*g**3 + 1934*g**3.\nAnswer: 4980*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 16 (c) 2\/9 (d) 31 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 7*c + c**3 - 43 - 22 + 0*c**2 + 35. Is x(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from fffhhfhfhfffffffhh.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -10. Suppose -i - 2 = -r. Differentiate 3*b**4 - 2 - 2*b**4 + b**i wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k - 748*k**3 + 11*k + 546*k**3 - 586*k**3.\nAnswer: -788*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 288\/54*(-6)\/(-8). Suppose -9*n + g*n = -300. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**3 + y**3 + 2503*y**2 - 5*y**3 - 6 - 2511*y**2 + 17*y. Let x be m(5). Solve x = -2*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 10 + 4. Let p = a + -2. Let f(b) = -b**2 - 9*b + 1. What is the units digit of f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74441 - 3?\nAnswer: 7443d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v = 119 + 432 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7200000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (73 - -1)\/(-16 + 18). Let f = -38 + x. Is f + 5 - 24\/(-8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6440 is divided by 1904.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:00 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 4293071699*m**2 + 22 - 4293071699*m**2 + m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -53*f + 25. Let k(y) = 13*y - 6. Let d(h) = 9*k(h) + 2*p(h). Let a(o) = 21*o - 7. Let g(z) = 3*a(z) - 5*d(z). Calculate g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -19. Let u be 12 - 1 - (a + (-2 - -4)). Suppose 5*g + u = 3*g. Sort 2, -8, g, 5.\nAnswer: -8, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, -492\/49 in decreasing order.\nAnswer: -3, -4, -5, -492\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 4*v**2 - v - 1. Let o be y(3). Solve 13 = o*s + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -616?\nAnswer: -14784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(198) + -2*sqrt(198)))\/(sqrt(11) + sqrt(275) + sqrt(275) + sqrt(275)*-3 + sqrt(275)))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 2*d + 2. Suppose -2*q = -3*c + 3*q - 8, 3*q - 12 = 0. Let v be s(c). Calculate the greatest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 4)\/(3\/3). Let j = 7 + k. Suppose 0*m - 2*m + 4*o = 6, -3*o + 10 = 4*m. What is the remainder when j is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = 18*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343613 + -171616. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/((9 - -1)\/10). Solve z*o = j + 6*o + 4, 3*o = 4*j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 114 - 44. Let k be (-21)\/f + 1\/2. What is the third derivative of 4*h**2 + 7*h**4 + 3*h**2 - h**k - 4*h**4 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 7*i + 8. Let v be w(-8). Let c = 5 - v. Suppose -a - c = 2. Is a greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-2 - -1)) + 20 + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2\/11*k**3 + 0 + 6\/11*k**2 + 0*k = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -58 - 65 - 2*h + 123 + 4*h. Let g(k) = 2*k**2 - 42*k. Give r(g(x)).\nAnswer: 4*x**2 - 84*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**5 + 75*n**4 + 18576*n**3 + 36828*n**2 = 0.\nAnswer: -66, -2, 0, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 18. Let n(c) = -c**3 + 13*c**2 - 11*c - 9. Let h be n(v). Suppose 0 = h*r + 3*r - 192. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**7\/28 - 3*h**6\/20 + 3*h**5\/20 + h**4\/4 - 3*h**3\/4 + 3*h**2\/4 - 5*h. Determine t so that k(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 652 and -0.18.\nAnswer: -117.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 5*g + 80 - 2*g - 80.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p + 153 + 357 = 0. Let t(u) = 11*u + 4. Let w(v) = 32*v + 11. Give p*t(c) + 6*w(c).\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*t = -116*t + 10, h + 3*t = 6. Factor -2 - 16\/3*d + h*d**3 + 2\/3*d**4 - 4*d**2.\nAnswer: 2*(d - 3)*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21110 - 1300321?\nAnswer: -1322031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30811.\nAnswer: 11, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 5 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(3\/2)*g))\/g**7*(g\/(g\/((g*g*g**(-1)\/g)\/g)*g))\/g**(6\/11) assuming g is positive.\nAnswer: g**(-243\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 654673193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 361202209 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: Let l be 0\/1 - (-2 + 0). Let h be l + -6700 + (-2 - -4). Let z = h - -53491\/8. What is the common denominator of -29\/6 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2157 - 337. Suppose 420 = -68*p + 65*p. Let o = d + p. What is o rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 1. Let k(l) = -8*l - 135. What is the remainder when k(-17) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*v + 18, 3 = 2*v + 5*o + 9. Suppose -2*p - 949 = -s - 4*p, v*p = -4*s + 3796. List the prime factors of s.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8723966?\nAnswer: 2, 4361983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-6)*114\/95. Let d = q - -3\/2. What is the nearest to -2\/7 in -1\/2, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p + 38*p - 27*p**3 - 66*p.\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 265. Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72692 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 12*t - 380. List the prime factors of t.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 d when three letters picked without replacement from {d: 2, e: 1, v: 1, z: 6, i: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, b: 1, k: 2, u: 3, o: 7}. What is prob of sequence buu?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 2*h + 3*l - 12, -3*l = 3*h - 186. Let y be (-1)\/(-8) + 68058\/2736. Calculate the highest common factor of y and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/117*(-4)\/(-10). Which is the closest to 2? (a) 1\/5 (b) -1\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70*164.8604\nAnswer: 11540.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 361*z**8\/336 - z**7\/105 + z**4\/24 - 50*z**3\/3 - z**2 + 51*z. What is the second derivative of t(h) wrt h?\nAnswer: 7220*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -59. Let c = q + 67\/2. Let m = 2.6 - 0.6. Put -0.2, -1\/2, m, c in decreasing order.\nAnswer: m, c, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25295?\nAnswer: 5, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12777 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(252\/(-9))*2\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56914\/3 - 18974. What is the biggest value in j, -5, -4\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6151810 divided by -35.\nAnswer: 175766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 1654*p**2 + 5 - 7 + 787*p**2.\nAnswer: 2441*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (-19 - 45) - -67?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18149376?\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*x + 22 - 7, f = -2*x + 6. Let q(u) = -2*u + 411. Is q(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4957\/1542 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*m + 85, -2*m - 5*k = m - 81. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150214 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, -2, 23 in decreasing order.\nAnswer: 23, -2, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/(sqrt(28)\/sqrt(4)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593 at most 2593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 11*s + 15. Calculate the remainder when z(5) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.7184 - 0.2816. What is the nearest to 0.2 in 0.3, y, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 109 (c) 4\/7 (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212\/(-216)*50 - 76\/(-49248)*48.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 56, 81?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 <= 8.5303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -54. Let r = 0 - b. Suppose -r*f + 7*f = 284. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36827028 divided by 97426?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7*r = 4*j - 25, -3*r = 4*j - 15. Suppose -7*v - 10*v + 85 = 0. Solve j + 4\/5*d**4 - 6\/5*d**3 - 1\/5*d + 4\/5*d**2 - 1\/5*d**v = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -4249*b + 4286*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 50*p**4 + 14690*p**3 - 1711772*p**2 - 1376456*p - 275760 = 0.\nAnswer: -383, -2\/5, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2 = 0, -4*i - p - 3 = -13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -124325 (base 10) to base 6\nAnswer: -2355325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 19. Suppose -6*u + 29 = -31. What is the tens digit of x(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 49030.\nAnswer: 147090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (183\/6)\/(2\/(-4)). Let q be (-1 + 16)\/(-5)*12. Let f = q - i. Solve 4*g - f = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 3. Let u(w) = -1. Give m(x) + 5*u(x).\nAnswer: -7*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/1*31*(-78)\/1209.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8239285543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/13))\/(x**2\/x))\/((x\/(x*x**(2\/5))*x)\/x)**50 assuming x is positive.\nAnswer: x**(258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -867*j + 10353. Give t(12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2*(16\/(-8) + -489). Let k = a + -491. Which is bigger: -2\/203 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) 0.3 (b) 0.6 (c) -0.4 (d) 7 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1269\/33277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5282 is divided by 405?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154 - -1384\/9. Put -7, o, -5 in descending order.\nAnswer: o, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*v + 75*v = -4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78215933 a multiple of 2611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k + 1. Let j(o) = 30*o + 18. Let q(t) = -j(t) - l(t). Let w(d) = d**3 - 4*d**2 - 4*d - 5. Let p be w(4). What is the units digit of q(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1403244 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2642062801*a**2\/5 - 16242716*a\/5 - 24964\/5.\nAnswer: -(51401*a + 158)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7019152187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3197842 + 3197694.3249. Let l = d - 0.1249. What is l rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -916, -1804, -3036, -4726, -6988?\nAnswer: -9936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.077 and 3738.\nAnswer: -287.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 11\/3. Let z = 6.97 + -7. Let r = z + 2.03. Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Suppose -5*y = n*c + 45, 21 = -3*y + 5*c - 6. Let q = y - -18. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1291*s**2 + 742*s**2 - 1022*s**2 in the form l*s**2 + m + y*s and give l.\nAnswer: -1571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5713589728686.\nAnswer: -5713589728684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 65*u**6\/6 - 64*u**3\/3 - 18. Find the third derivative of p(h) wrt h.\nAnswer: 3900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/3)\/(3\/(88443\/2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 5*y**4 - 4*y**4 + 3 + y**2 - 3*y**2 - 3*y - y as f*y**2 + a*y + w*y**4 + q + d*y**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 9*l**2 + 7*l - 6. Let p be u(9). Let d = 64 - p. What is the smallest common multiple of 3 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 91*l + 560 = 0. Solve -21*q - l*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(9072) + (sqrt(9072) - (sqrt(9072) + 1 - sqrt(9072)))))**2 + ((sqrt(343)*2 + sqrt(343))*-2 + 1)*1.\nAnswer: -90042*sqrt(7) + 22680626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyqqqqknnzznyk. Give prob of sequence nnqy.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 24.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 518 - -1989?\nAnswer: 23a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6 - 23*l**2 + 22*l**2 - 6. Let v(p) = -172*p. Let o(i) = 9462*i. Let s(c) = -3*o(c) - 166*v(c). What is b(s(k))?\nAnswer: -27556*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 50. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23? (a) 0.26 (b) -0.09 (c) -71 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511 (base 9) to base 4.\nAnswer: 12133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2. Let m(a) = a**3 - 2*a**2 - 2*a - 4. Let z be m(3). Calculate the remainder when f(4) is divided by 17 - (3 + -1 + -3 - z).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1885*q + 6 = -4*f + 1890*q, -4*f + q = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 6:51 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/18)\/(300\/45)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(8)\/((sqrt(4) - -3*sqrt(4)) + sqrt(4))))\/((sqrt(20) + sqrt(100)\/sqrt(5)*6)\/sqrt(5)))**2*-2.\nAnswer: -550\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -224588 and -0.045?\nAnswer: 10106.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*w**3 + 20*w**2 - 22*w**2 + 13*w**3 - 56*w**3.\nAnswer: -104*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*z**2 + 265*z**2 + 6*z + 14*z - 130*z**2 as c + t*z**2 + h*z and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1047*v**3 + 9403219*v + 2*v**4 - 9403219*v in the form y*v + l + k*v**2 + o*v**4 + m*v**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29763 divided by 2032\nAnswer: -29763\/2032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -501*k**3 - 8*k - 504*k**3 - 3 + 7*k + 992*k**3 in the form h*k**2 + d*k + m + q*k**3 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -70038 (base 13) to base 5\nAnswer: -22344344","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5.9. Which is the smallest value? (a) w (b) 2\/3 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 197, 322, 465, 632, 829?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 833 + 1068. Is 36 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 5*j - 7. Let p be h(7). What is the highest common divisor of p and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o + o - 1 - 4. Let h be q(-4). Suppose -h*j + 4*w + 137 = 0, -5*j + 5*w + 116 + 104 = 0. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31020000 = -255*u + 253*u. What is u rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -6945473.\nAnswer: 20836419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 5*m**2 - 5*m**2 + (m**2 - 23*m + 3 - 3)*(-2 + 5 - 4).\nAnswer: -2*m**2 + 23*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41\/3 + -329\/30. Calculate the common denominator of 67\/12 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 66. Which is bigger: -17\/4 or z?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 19368*c**2. Let q(v) = -12*v + 1360. Let w(p) = p - 120. Let d(l) = 3*q(l) + 34*w(l). Give d(i(n)).\nAnswer: -38736*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.069\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 7065752\nAnswer: 7\/3532876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 985 + 48 = 143. Calculate the smallest common multiple of x and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 108*x + 113*x + 17, 4*y - 3*x - 47 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 165, 173, 185?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3adc - -10?\nAnswer: -3acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, h: 1, b: 3, g: 5, m: 1}. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 135, 205, 217, 165, 43, -155?\n\"Answer: -o**3 - 23*o**2 + 146*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*1831 - -1*(-9 - -14)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*s + 52 + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10665 - -10681. Solve -d - y = -l - 4*l, -5*l = 4*d + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146 + 2?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 11*m + 34. Let l be u(8). Suppose l*y - 44012 = -12502. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0 + 3\/8*r**4 + 0*r + 1\/30*r**5 + 31\/6*r**3 - 7*r**2 + 1\/120*r**6. Is k(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16377+57959.5\nAnswer: 74336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-3) + 2\/6. Differentiate 3*g**2 - 3 + 0*g**u - 2*g**2 - 4*g**2 with respect to g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 3. Let z(p) = -p**3 + 2*p + 1. Let w be z(g). Suppose -j - 3 = -4*c, -j + 7 = -w*c + c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2548 and -151\/2418.\nAnswer: 236964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4\/3 + 787738*b**3\/3 - 787739*b**2\/3 = 0.\nAnswer: -787739, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2030 + 2029.8. Which is the nearest to 0.2? (a) z (b) 4 (c) 0.05 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -5*t, -3*i = t - 11 - 1. Suppose -10 + 26 = -i*f. Let p be (-3)\/(1 + f)*0. Is p at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8991 divided by -2997\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2) + 88 + (-4 - 0). Suppose 5*d - 63 = -2*i + q, 0 = -5*i - 3*d + 341. Calculate the least common multiple of i and 1.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Let p = -32 + 27. Which is the nearest to -1? (a) -2\/7 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -1\/3, -0.2, 108?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17355\/650 + -27 - 243\/(-60)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1 - 2 + 4 - 1 + (5 - 4 - 3)*(3 - 7 + 2) - 4 + 2 + 4)*(0*x + 8*x + 0*x)*(-4*x**2 - 7*x**2 - 13*x**2).\nAnswer: -1920*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2. Let v(x) = 48*x + 10. Let y(r) = -157*r - 27. Let m(t) = -8*v(t) - 3*y(t). Give m(w(a)).\nAnswer: -348*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + b + b = 335, 3*b - 80 = -y. Suppose 0 = 63*w - y*w + 6. Solve a = -5*n + w*a - 35, -a + 25 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 9*j**2 + 19*j + 41. Determine r(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 2. Let i(h) = 3*h + 4. Let y(r) = 2*d(r) + i(r). Let l(p) = -36*p. Give y(l(t)).\nAnswer: 108*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let g(w) = -2*w. Suppose -2*y - 5*c - 17 = 0, 2*c - 20 = 6*c. Let z(x) = 22*x - 4 + y. Let i(p) = -68*g(p) - 6*z(p). Determine i(d(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 4*d**2 - 9*d + 9. Give m(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3381*v**3 + 50*v**2 - 11538 with respect to v.\nAnswer: 10143*v**2 + 100*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 321.5052 centuries?\nAnswer: 32.15052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -1152*s**4 - 1230321*s**3 + 3715092*s**2 - 2515749*s + 32130 = 0.\nAnswer: -1071, 5\/384, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6566.483 years?\nAnswer: 6.566483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 30 = m + m, t = -m + 28. Let x = t - 13. Calculate the remainder when 49 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from ichvx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36592, -36932, -37272, -37612, -37952?\n\"Answer: -340*u - 36252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/175 - 96\/675. What is the fourth smallest value in n, 0, -8, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.5 + 11. Let p = -30.5 + n. Let a = p + 29.99977. Round a to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**5 + k**4 + k**3 + k**2. Let u(x) = 4*x**4 + 4*x**3 + 6*x**2. Let l(d) = -4*o(d) + u(d). What is the third derivative of l(t) wrt t?\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 13*k**2 - 337*k + 18. Calculate the remainder when v(26) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000386926 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*s - s. Suppose -2*j + j = -3*i + 94, i + j - s = 0. Suppose -i = -5*t + 150. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8431407 + -4751307. What is x rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56 - 0\/(-4) - 1. Let a = v - 55. Factor -4\/5*i**2 - 2\/5*i**3 - 2\/5*i + a.\nAnswer: -2*i*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192794452 and 2152?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.2 (c) 1\/528\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*h = 45, -2*u + 2*h = 2*u - 46. What is the third derivative of -u*i**4 + 8*i**2 - 10*i**4 + 5*i**4 wrt i?\nAnswer: -432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.856814061 to 2 dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.638 + -0.438. What is the closest to 4 in 0.3, -0.06, -1\/2, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296715.\nAnswer: 3, 5, 131, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 3. Let b be z(-2). What is the third derivative of 0*k**5 - k**5 - b*k**2 - 3*k**2 + 4*k**2 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -22*g - 30. Let t be j(-5). Suppose 3*h - t = 484. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 2689*c**6\/120 - 254*c**5\/15 + 3*c**2 + 394*c. What is the third derivative of i(a) wrt a?\nAnswer: 16134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 305 + 305. Let p(h) = -10*h**2. Determine u(p(q)).\nAnswer: -100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1202760 and 154200?\nAnswer: 6013800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 338 - 354. Let y(x) = -x**3 - 17*x**2 - 14*x + 36. Let r be y(c). Solve -2*w = 2 - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from bnnnnbqbnqnnnb.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3. Let u = 6 - h. Let m(l) = 3*l + 7. Is 14 a factor of m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*o = 110*o + 168. What is the remainder when 335 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -2 (c) 0.5 (d) 4 (e) 28 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/35*7 - 21\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75851670209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2252398306 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - 179*n**2 + 61*n + 167. Determine r(-60).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3526 = -3*g + 165, -a + 671 = -g. Is 52 a factor of 6\/48*0 + a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4 = -16. Suppose a*j - 3 = 2*u + 27, 0 = 4*j - u - 40. Suppose -3*r + 27 + 8 = -2*q, -5*r + 80 = q. Solve j*h - 5*h = -r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000134824 rounded to seven decimal places?\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(3 - (-1 - -1)). Suppose -12*u = 16 + 20. Let h be 3*(2*u\/18)\/1. Which is the nearest to 0.2? (a) -0.6 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**3 + 7*y**2 - 9*y + 7. Let l(v) = -14*v**3 + 21*v**2 - 26*v + 20. Let n(p) = -11*c(p) + 4*l(p). Let w be n(6). Solve 4*d - d = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4816724468.\nAnswer: 2, 22469, 53593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*o**2*y - 1169*g**2*o**2 - g**2*o*y + 3*g**2*o - 2*g**2*y - 8*g**2 + g*o**2*y - o wrt o?\nAnswer: -2*g**2*y - 2338*g**2 + 2*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3021054 divided by -1619.\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116\/4596709 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19404)\/(-27) - 16\/(-12). Suppose -3*h + i = 13*h. Let o(g) = g**2 + 2*g - 6. Let c be o(-6). Calculate the greatest common divisor of h and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-21) - 8\/14. Is ((-1)\/g*-1)\/((-2)\/492) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 3:55 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2*6\/4452) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50893, -101788, -152683, -203578, -254473, -305368?\n\"Answer: -50895*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 140?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363 - 2886*s**2 + 156 + 2*s + 207)*(4*s**3 - 4*s**3 - 2*s**3).\nAnswer: 5772*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -15*y + 94. Solve 5*n = -4*d + n + 8, y = 3*d + n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/27 + 1 + 8039\/(-9). Let h = 1912 + a. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*3\/(-27) + (-525)\/1323. Is -668 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - k + 1)*(2*k - 2 + 2) + 0*k**2 + 3*k**2 - 4*k**2 + 10645*k - 42*k**2 - 10645*k to z*k + h*k**2 + v and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + (2 - 5) + -1. Suppose -4*a = -0*c - 3*c - 99, -f*a + c = -110. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 21 = 2*p. Let g = p + 15. Suppose g = n + 2*m, 4*n - 8 = m + 3*m. Solve 0*x + n = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -17\/56 (b) -0.3 (c) 25 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7418098 to 3 dps.\nAnswer: 2.742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98638\/27 + 3654. What is the common denominator of -32\/21 and j?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/4 + m**3\/6 - 2*m**2. Suppose 19*d - 10 - 9 = 0. What is l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45261 (base 7) to base 15.\nAnswer: -35e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125752*n + 64 = 125748*n, -3*m - 19 = n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -111*b**6\/10 - b**4\/4 + 101*b**2\/2 - 290*b. What is the third derivative of y(i) wrt i?\nAnswer: -7992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5366\/27 != -2214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 2*v - 1. Let d be j(-3). Let n be (-3)\/6 + 415\/d. Let i = -58 + n. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b4b2b - 3?\nAnswer: 2b4b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -2*l + 102, -4*a - 6958*l + 6960*l = -78 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 15. Suppose 0 = 4*q + 5*s - 244, 3*q + 0*q - 160 = 2*s. Suppose 4*p = 8*p - q. Let m be c(p). Are 2\/17 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2 - 3*j + 5*j + j - 13*j**2 + 14*j**2. Give x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320383 * -0.27\nAnswer: -86503.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 7*y + 13*y**3 - 3*y**3 - 4*y + 10*y.\nAnswer: 13*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -7*h**4\/3 - 19*h**3\/6 - 10*h**2 - 1. Differentiate j(s) wrt s.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 0.3, -0.5 in descending order.\nAnswer: 72, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 5)*(7*w**4 - 5*w**4 - 3*w**4) + (3 - 3 + 8*w)*(-w**2 + w**2 - 2*w**3) - 2*w**4 + 0*w**4 + 3*w**4.\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - a19?\nAnswer: -a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2820235 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -3 + 2 - -9. Suppose 4*w = 29 - h. Suppose 0*t = 5*t - 4*m - 12, 0 = -4*t - 3*m + 22. Solve t*d - w*b - 4 = 0, -3*d - 16 = 2*d - b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0719*-16757.\nAnswer: -1204.8283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7.6, -5, -36?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Let a(c) be the first derivative of -69*c**2 + 294. Give a(f(i)).\nAnswer: -138*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2935.7 - -2935.2. Which is the second smallest value? (a) 1\/4 (b) 2 (c) -7\/9 (d) w (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -18. Let a = 0 + m. Calculate the least common multiple of a and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75\/4, -0.09, 0.1, -1\/6, 2\/13 in decreasing order.\nAnswer: 75\/4, 2\/13, 0.1, -0.09, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -d850 (base 14) to base 4\nAnswer: -21012332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*h - 8, 3*x - 5 = -3*h - 38. Let q(b) = b**2 + 12*b - 5. Determine q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 603305, 603349, 603421, 603521?\n\"Answer: 14*m**2 + 2*m + 603289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 9:00 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*w - 23*w**2 + 21*w**2 + 11*w)*(-4*w - w + 3*w)*(-2*w**2 + 4*w**2 - 3*w**2).\nAnswer: -4*w**5 - 120*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4262872464 and 1719?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2 - 31. Let l(d) = -d**2 + 11*d + 12. Let i be l(c). Suppose i = -4*w + 32. Solve 0 = -w*y - 9 + 29 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128505 - 124605 = 260*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-1896700)\/112 - -5. Let b = f - -16929. Calculate the common denominator of -75\/2 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 830603721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52.71 + -53. Round d to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 3 - 3*h + h**2 - h + h. Let d be q(3). Solve 0*z - 5*z = -d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 26*q + 561. Let v(a) = -18*a + 76. Is 27 a factor of v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - -58*(-28)\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*710\/6*1. Suppose -21*t = -16*t - b. Suppose -2*r + 199 = -t. What is the greatest common divisor of r and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkjkkjjkjk. Give prob of sequence jkj.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.925 + -0.075. Let z = 37 + r. Put 0.4, -1, z, 0.09 in decreasing order.\nAnswer: 0.4, 0.09, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -103\/3, 0.5, -5, 3, 1, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32922 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.68 - -2.885. Let k = i - 1.206077. What is k rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 3*i - 119. Suppose -4*x = -g + i - 2, -5*g + 21 = -2*x. Let k = 1 + 2. Which is the nearest to -1\/2? (a) x (b) 2\/15 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260231 (base 7) in base 10?\nAnswer: -165789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 97, 394, 889, 1582, 2473?\n\"Answer: 99*q**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -4, -0.2, -3, 1\/4 in descending order.\nAnswer: 3, 0.5, 1\/4, -0.2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2260480 divided by -226048.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.657\nAnswer: -0.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -12\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11305145, -45220586, -101746321, -180882350?\n\"Answer: -11305147*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.0279ug to kilograms.\nAnswer: 0.0000003780279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 55. Let a(t) = -t + 28. What is the remainder when 99 is divided by a(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.3. Let f be (32\/(-1800))\/(76\/(-430)). Let m = f + 1\/95. Which is the second biggest value? (a) m (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrvrnvvrrv. What is prob of picking 1 z and 1 v?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2099844 divided by 6.\nAnswer: 349974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 6:02 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 5*s**2 + 20*s - 23*s + s**2 in the form c*s + h*s**2 + n and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655328256 divided by -1312.\nAnswer: 499488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 361.6878 centuries?\nAnswer: 36168.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 1221110011111?\nAnswer: 1221110012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 6)*(g**3 - g**3 + 2*g**4).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 386711 and 13772861.\nAnswer: 179047193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.682 - 0.018. Let k = 27.6 + d. Which is the nearest to -1? (a) -2 (b) -6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 49. Let v be r(-15). Let m be (3\/(-6))\/(v - (0 - 6)). What is the closest to -1 in 0, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14407, -15783, -19513, -26773, -38739, -56587?\nAnswer: -81493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -228*n**2 + 388*n - 111*n - 276*n in the form a*n + y*n**2 + s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12461540 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 111. Suppose -11*t - 7 = 15. What is the remainder when k is divided by (134\/11 - t) + (-2)\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*o - 0*o - 7, 30 = 3*i + o. Suppose -2*g = 5*u - 16 - i, -u = 5*g - 10. Suppose -x = g - 2. What is the highest common divisor of x and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(-8*y - 10 + 10) - 5 - 2*y + 5)*(-2*y + 2*y**3 - y + y).\nAnswer: 12*y**4 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 329, 1\/2, -1\/4 in increasing order.\nAnswer: -1\/4, 1\/2, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 895 - -1225. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/516 and -39\/8?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*l + 4*d, 3*l + 2*d - 9 - 5 = 0. Let z(n) be the second derivative of 0 + l*n - n**2 - 1\/6*n**3. What is z(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -17244, 5\/4 in ascending order.\nAnswer: -17244, 3\/7, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 858661514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - m**2 - 3)*(1193*m - 2312*m - 7 + 1158*m) - 15*m**3 - 42*m**3 + 18*m**3.\nAnswer: -78*m**3 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 263354 and 59059.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3002179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 9*c - 1. What is j(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**2 - 247434*d + 5101965363 = 0.\nAnswer: 41239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {n: 2, e: 1, u: 1, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -259? (a) 0.68 (b) -3 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 7. Determine t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10890)\/294 - 10\/(-245). Let y(v) = 2*v**2 + 77*v + 88. Determine y(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n - 2. Let l be s(3). Let g = l - 13. Let o = g + -12. Let i(t) = 2*t**3. Let w(u) = 2*u**3. Calculate o*i(c) + 5*w(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8345501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 25*x**2 - 365*x + 10089. What is v(26)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4590 - 2297. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/(-8))\/((((-12)\/12)\/(-40))\/((-46)\/230))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - 6*p. Let s be b(-5). Suppose -4*f - 19 = -c, -27*c + s*f + 23 = -26*c. Solve 2*k - 3*k = c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 294192483*f**5 - 2*f**2 + 121312138 wrt f?\nAnswer: 17651548980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyx when three letters picked without replacement from yyxyyxxyyaay.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4.61. Let h = -0.01 - r. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60689, -121317, -181959, -242621, -303309?\n\"Answer: -b**3 - b**2 - 60618*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 861328*m**2 - 1722644*m + 861320.\nAnswer: -4*(m - 215330)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 12*z**5\/5 + 17*z**4 + 124*z**3\/3 + 46*z**2 + 24*z + 28. Determine b so that n(b) = 0.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 4*w**2 - 6*w**2 + (5*w - 2*w - 4*w)*(10*w - 11*w - 6*w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435231 (base 7) in base 9?\nAnswer: 325001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 2\/((-2)\/(-3)). Suppose 0 = -3*d + b*c + 245, 0*d + 4*d + 4*c = 308. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62\/43 - 2011\/172. Let o be ((-47820)\/(-27))\/(-4) - 3. Let d = 451 + o. Calculate the common denominator of m and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 11*w**3\/2 - 37*w**2\/2 - 18*w. Let b(d) = 35*d - 36. Let s(r) = -4*b(r) + 3*k(r). Differentiate s(m) wrt m.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63921729\/1709 + -37403. Let d = v - -6802\/29053. Factor -d + 2\/17*q - 2\/17*q**3 + 4\/17*q**2.\nAnswer: -2*(q - 2)*(q - 1)*(q + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 4:03 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 518*l**6 - 1076*l**3 + 8271*l**2 - 12*l - 4 wrt l.\nAnswer: 62160*l**3 - 6456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20728451 a multiple of 989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161233111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 4*o + 5*o)*(515*o**2 - 281*o**2 - 274*o**2 - 12*o**3 - 1) in the form f*o**4 + y + g*o**3 + t*o**2 + d*o and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2247, 2, -12, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/441 - (-360482)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 149*k + 120755. Is v(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 620.212g?\nAnswer: 620212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 27 - 51 - z + 46. Let j be s(13). What is the common denominator of 61\/5 and (-591)\/(-378) + 2\/j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 8*u - 2*u. Let m be (2 - u)\/(-2 + (-32)\/(-14)). Let n = m - 5. Solve -4*z = n + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1729 divide 65266385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*3\/(-4)*1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1))**(-2\/9))**15)**27)**38 assuming x is positive.\nAnswer: x**3420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**7\/21 + 22*s**6\/45 + 2*s**5\/3 - 4*s**4\/3 - 119*s. Let y(c) = 0. Calculate c.\nAnswer: -6, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*y + 215 + 137. Let k(n) = -3*n - 5. What is k(y)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:32 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 65996.\nAnswer: 197988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/280 and 109\/24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) 1\/231 (d) 5 (e) -0.1 (f) 0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 + z**2. Let b be t(1). Suppose 19 = b*g - 9. Suppose -5*o + y = g - 41, 4*o = -2*y + 30. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 80. Let m(o) = o**2 + 6*o + 29. What is the tens digit of m(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 4. Let k be p(3). Let t(c) = -16*c**3 + c**2 + 2*c + 1. Let w be t(k). What are the prime factors of (7\/(-2))\/((-8)\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -1, -5, 0, 1870, 3 in decreasing order.\nAnswer: 1870, 53, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbtt. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 61979 = -23407. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(30\/(-8))\/1. Let z = -62 + 62. Suppose 2*d + 37 = 5*a, -5*d + 5*a + z*a = 85. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2748941 is divided by 2522?\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + ((-1)\/1)\/((-10)\/160*(-45)\/90)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/20 + -4 + 196\/10. Which is the fourth biggest value? (a) r (b) 0.2 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267\/8 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 3*b**7\/245 - 4*b**6\/105 - 4*b**5\/21 + 16*b**4\/21 + 16*b**3\/21 - 961*b**2 + 6*b - 1. Determine m so that q(m) = 0.\nAnswer: -2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + sqrt(72) + -1 + 3 + sqrt(72))**2 - (4 + 4 + 2*sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72))**2).\nAnswer: 1080*sqrt(2) + 4653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 6*h - 5. Let y be l(1). Suppose 2*u = -2*r - 2, 5*r + 0*u - 11 = 3*u. Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 - 30924*p**2\/7 + 121037592*p\/7 - 1652367472.\nAnswer: 2*(p - 7682)**2*(p - 98)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2138 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 57765620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 25*y - 10. What is d(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406873 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/306 and -22\/17.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 + 10*j**3 - 17*j**2 - 7*j**3.\nAnswer: 3*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10670, -10672, -10674?\n\"Answer: -2*g - 10668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 338 + -429. Let i = 18.528 + -109.45. Let b = s - i. What is b rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72222 or -71272?\nAnswer: -72222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1315*q**2 + 1315*q**2 - 2*q**3 - 5*q - q**3 to a*q**2 + t*q + x*q**3 + p and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, c: 5}. Give prob of sequence uuu.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -4*g + 6*g. Suppose 2*a - 81 = -7*w + 107, a - 5*w = 60. Is a greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 231*c**3 - 105*c**2 - 24*c + 4041. Let w(z) = 46*z**3 - 22*z**2 - 5*z + 808. Let a(t) = 5*d(t) - 24*w(t). What is the derivative of a(o) wrt o?\nAnswer: 153*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.90282 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c5143 - 0?\nAnswer: -1c5143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*t + 69, 0 = 3*l - 2*t - 62 + 23. Let a be 75\/6*(-108)\/(-30). Let u be 1\/(3\/a + 0). Calculate the highest common divisor of u and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111661.\nAnswer: 11, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r - 10*r = 1560. Let c(k) = k**2 - 7*k + 6. Let b be c(4). Calculate the remainder when 95 is divided by 8\/r - 146\/b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-1*6 - sqrt(190)) + -1*sqrt(190)*3)\/((sqrt(10) - 5*(sqrt(10) - sqrt(10)*-2)) + -3*sqrt(90)).\nAnswer: 10*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let c(d) be the third derivative of 667*d**4\/6 + 451*d**2. Determine c(v(p)).\nAnswer: -5336*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6293, 6493, 6827, 7295, 7897, 8633?\n\"Answer: 67*i**2 - i + 6227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by -5\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*j + 4*h, j - 3*h - 8 = 7. Let a be 15 + -18 + 4 + j. What is the third smallest value in 1\/3, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 183*q + 18102. Calculate b(-99).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 164\/13*z**3 - 110\/13*z - 4*z**4 - 54\/13*z**5 + 4\/13 + 48\/13*z**2 = 0. Calculate z.\nAnswer: -2, -1, 1\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 75 = -5*j, -a - 29 = 2*a + j. Let z = a - -11. Let m be (-10)\/75 - 32\/(-15). Sort m, z, 5 in increasing order.\nAnswer: z, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -15. Solve -6 = w - k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384\/44 + 36 + (-36 - 10)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 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: What is the hundreds digit of (-780)\/2*(-87 - -85)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from jjjbbjjbabbbabbbj?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (-14574 - 2)*1. Suppose -17*v + z = -2486. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21*y**3 - 227*y + 226. Determine o(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -0.360528?\nAnswer: -16.639472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + j + 17 = 0, 2*j = 27*y - 29*y + 14. Let b(t) = -t - 2. Let l(o) = 3*o + 3. Let i(v) = 7*b(v) + 3*l(v). Let s(f) = f - 2. What is y*i(h) - 7*s(h)?\nAnswer: h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 188.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5.988, 0.05, 1, 0.4 in descending order.\nAnswer: 5.988, 1, 0.5, 0.4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - 3. Let u = 17 + w. Put -3\/7, u, 0.09 in descending order.\nAnswer: u, 0.09, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -22876005.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/474995 + -474986\/4274955. Let j = -8 + 31. Put 2, 0, f, j in descending order.\nAnswer: j, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4625.261151 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 5*b + 600 = 0. Let q be (-167 - 0)\/((-56)\/b + -2). Round q to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3*b + 138, 3*n + 9*b - 4*b = 122. Solve 10*d - n = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 + 288*x**2 - 597*x - 882 = 0. What is x?\nAnswer: -98, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-27)*6\/18)\/(22\/(-396))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q**4 + 5*q - 12*q + 8*q)*(1 - 3 + 4)*(-4 + 2 + 5).\nAnswer: -48*q**4 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33855 and 15.\nAnswer: 33855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**4\/6 + w**3\/6 + 14*w**2. Give l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41.9999988 + -42. What is b rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13536.5962 to the nearest integer.\nAnswer: -13537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-69)\/(-162) - 3*(-4)\/(-24). Let u = -3 + 0. Let b be (-3)\/1*(-1)\/u. Is b at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/28 and 26\/18639537.\nAnswer: 74558148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(3*56\/24)*-56.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3872)*2 - sqrt(3872).\nAnswer: 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 491 + 446 = 0. What is the smallest value in b, 209, -1\/3, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 12*y**2 - 13. What is f(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (1 - (-2 + 1)). Solve 12 = 5*m + 4*c, 5*c + z*c - 15 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (-6*-1*sqrt(136) + sqrt(136)) - sqrt(136)) + 6*sqrt(136)*2)\/(-6*sqrt(800)*-4).\nAnswer: sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 11*m - 77. Solve -5*z - 2*c - 2*c - m = 0, 2 = -z - c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 137*i - 1378. Let t be a(11). Solve -21*r + 3 = t for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 11*f**2 - 8*f - 16. Let g = 86 - 60. Let o = g + -14. Calculate the remainder when b(o) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*d = -16, -d = 3*f - 9 + 1. Let g be 66\/18 + (-4)\/6. Solve 2\/13*k**g + 0*k**f - 6\/13*k + 4\/13 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -96, -1507 in decreasing order.\nAnswer: 1, -1, -96, -1507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 12*u - 40. Let n be a(-6). Let f be (-1)\/(1\/((-2)\/n)). What is the third smallest value in -4, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or -191920?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -815, -538, -75, 574, 1409, 2430?\n\"Answer: 93*d**2 - 2*d - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqqqlqllqlqbqqwblw. What is prob of picking 3 b and 1 l?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 2\/5 (c) -19 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -956 by 105.\nAnswer: -956\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766 - 142 = 2392*t - 2366*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 46*g**2 + 95*g + 364. Give l(-48).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -111011101110100?\nAnswer: -111011101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 10 - (-1 - 1)) + 12 + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(68)*-1.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1179 - 1160. Sort -1, 0, y, -12 in decreasing order.\nAnswer: y, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z = 182 - 2328. Let k(y) be the first derivative of -z + 0*y**3 - 3\/13*y**2 + 1\/26*y**4 + 4\/13*y. Let k(h) = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -12, 4, 268, 8, -2 in descending order.\nAnswer: 268, 8, 4, -2, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = -0*v - 3*t, 14 = -5*v - t. Sort v, -3, -1.\nAnswer: -3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199073?\nAnswer: 7, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264856 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((-52 - -6) + -18)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 44 = 5*h. What is the highest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**3 - v. Let s be q(-1). Let i be s + 7 - (0 - 41). Suppose 0 = -u - u + i. Calculate the remainder when 86 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 9:03 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 26*v - 4. Let f be w(-4). Suppose -s - 4*u = 215, -3*s = 6*u - 3*u + 609. Let y = f - s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520, 513, 500, 481, 456?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -134, 161, 458, 757?\n\"Answer: h**2 + 292*h - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-52)*(-2182739)\/159066.\nAnswer: -19\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -194, -251, -308, -365, -422?\n\"Answer: -57*l - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 3*j**2 - 3*j**2 - 24*j**2.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**3 + 25*s**2 + 12*s - 4.\nAnswer: (s + 1)*(s + 2)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.11 (b) -2\/3 (c) 0.2 (d) 5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, w: 1, s: 4, z: 1, f: 1}. What is prob of picking 1 f and 1 i?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13429724 - 13429788.957668. Let l = -22.042104 + b. Let j = -87 - l. What is j rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1869 = 5*l + 1824 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 36015.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -331 - -330. Which is the third biggest value? (a) 3 (b) 1 (c) p (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 1 + 0 + 0 + 1 + 14*j**2.\nAnswer: 15*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5\/8, -1\/3, -15, 3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.4 + 27. Let s = z + -1.6. Put s, -4, 0.06 in increasing order.\nAnswer: -4, s, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*b - 10 = -6*b, 15 = -5*b. Solve 3*d + 15 = z*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/20, -1\/2, 10?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - (13 + (14 - (7 + -5)) + -20) - 7?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-33 - -41) + 0 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56812*q + 56918*q - 2120 = 0 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004754 to four decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262121868 to the nearest integer?\nAnswer: 16190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*n - 263, 0 = 2*n - 4*b - 41 + 139. Let o be (36\/(-10))\/(22\/n). What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/14364 and 10\/9261.\nAnswer: 703836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 352887647 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 392 + -388. What is the highest common divisor of i and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2042 + -252?\nAnswer: -2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 735548568 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/4 (b) 1\/2 (c) -72 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96232977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(26)\/(sqrt(2) + sqrt(2) + sqrt(6)\/sqrt(3)) - sqrt(13) - 3*sqrt(208)))**2 + sqrt(130)\/(-2*(sqrt(10)*2 - sqrt(10)) + sqrt(10)) + -5 + 5.\nAnswer: -sqrt(13) + 18772\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u**2 - 5*u**2 + 3*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -26*h - 130. Let n(g) = -35*g - 163. Give -9*n(a) + 11*w(a).\nAnswer: 29*a + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 153*l - 161*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*g - 2 = 0, 16 = 1274*a - 1277*a + 5*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5643 and 1026?\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 27, 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6196, -5053, -23804, -50057, -83812, -125069, -173828?\nAnswer: -230089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102))\/sqrt(6) - (sqrt(17) - (5 + -3*sqrt(17)))) + 2.\nAnswer: -6*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 + 6 - (0 + 1 + -2 + -1538 + 1539).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*w - 603*w + 2598*w - 628*w - 613*w.\nAnswer: 29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 2. Let s(g) = -2*g - 6. Suppose f = 2*f + 9. Let q(w) = w + 5. Let o be q(f). Let u be s(o). Let t(p) = -2. Calculate u*d(k) - 3*t(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -9*i - 88 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7921106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g + 5*w + 10 = 0, 4*w - 9 = -5*g. Suppose -g*p + 111 = 91. Let y be (-10)\/(-4)*(14 - 4). Solve -p*r - y = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 30*u + 105. Let s be k(-26). Let r = -5 + 10. Let y be (r\/(-3))\/((-4)\/3). Is y not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 939\/1015 - 26\/29. Which is bigger: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 240.3 and 0.289266.\nAnswer: 240.589266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161361 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 2*r + 1. Let p be x(-1). Solve 6*j - 5*s + 33 = 4*j, 8 = 3*j + p*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.37 - 9.24. Let t = -0.13 - 0.25. Let y = g - t. What is y rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 1616?\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -36. Let a = 30 + t. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -81*d. Let c(j) = -2. Let n(s) = 2*s + 2. Let v(u) = c(u) + n(u). What is r(v(m))?\nAnswer: -162*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h**2 - 48*h - 76. Determine a(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 632*(175\/28 - (-1 + 7)) and 2054.\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -10*l**3\/3 + 256*l**2\/3 - 1586*l\/3 - 676\/3 = 0?\nAnswer: -2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**4\/3 + 10*l. Let s(v) = -v. Let a(j) = -j. Let k(h) = -2*a(h) + s(h). Calculate y(k(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -211, 9, 0.92, -1\/2 in ascending order.\nAnswer: -211, -4, -1\/2, 0.92, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -0.013 (c) 0.27 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1597a848?\nAnswer: 1597a84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*l - 71*c + 76*c, -5*c - 9 = l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1781 and 10\/143.\nAnswer: 19591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - f - 5779 = -5749, 0 = w + 65*f + 247 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/42 - 0) + (-2)\/(-2). Find j, given that 10\/7*j**4 - 2\/7*j**5 - 2\/7*j**2 + 16\/7*j - 2*j**3 - t = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + o**3 - o**3)*(15*o**2 + 4*o**2 + 0*o**2) - 2*o**5 + 12*o**4 - 3*o**2 - 12*o**4.\nAnswer: 17*o**5 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2549*v - 3 - 508*v + 380*v + 3)*(-2*v - 3*v + 3*v) as l*v + b + n*v**2 and give n.\nAnswer: 5354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -42425, 10, -1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-30) - -2)\/(8\/180). Let i be 106\/(-795) - 116\/f. Let k = 0 - -0.1. Which is the nearest to k? (a) i (b) 0.06 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -5 (c) -2\/3 (d) -199 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 7*b - 1. Give a(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**2*x**5 + 10*h**2*x - 158148*h*x**5 - 5*h*x**2 + 2071*h wrt x?\nAnswer: 180*h**2*x**2 - 9488880*h*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 + -94. Let k(o) = 2*o**2 - 7*o + 11. Does 39 divide k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -3*9660\/180?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-20)*(-8)\/(-2). Let p(x) = -x**2 - 2*x + 4. Let l be p(k). Let u(s) = s**2 - 5*s - 6. Let a be u(6). Solve a = 4*r + 19 + l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let x(a) = a**3 + 2*a**2 + a + 1. Let o be x(3). Let d = 59 - o. Let u(l) = -d + 5*l + 10 + 3*l. Determine u(z(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-634)\/(-14) + 2\/(-7). Suppose -g = -3*s - 0*s. Let l = s + -2. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -60, 10, 1, 1\/11, 3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:34 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, d: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*v + 103*v + 2049*v**3.\nAnswer: 2049*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/3, -10\/11, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -35*c. Let u(x) = 20*x. Give f(u(r)).\nAnswer: -700*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 363706841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - -6 - (8 + (-1799)\/350) and -7\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 25 = 4*y. Let f = 78 + -78. Solve f = -y*z + 7 + 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:28 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -115, -255, -451, -703, -1011?\nAnswer: -1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 76.3 (b) 8.2 (c) 0.055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12\/k**(4\/3) assuming k is positive.\nAnswer: k**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 1. Let n(b) = 3*b**2 - b + 1. Let r(z) = 4*a(z) - 4*n(z). Let x(t) = 2*t + 6. Let o(w) = 6*w + 16. Let d(i) = 3*o(i) - 8*x(i). What is d(r(p))?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29586, 60279, 90972, 121665?\nAnswer: 152358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376035733?\nAnswer: 17, 59, 83, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 28531 = -41*d + 37*d, -1 = h. What are the prime factors of d?\nAnswer: 2, 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28577 + 28577 + 149*p as a*p + v and give a.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-3 - -2) + 2. Suppose 4*h - 20 = 0, 3*h - 15 = i + g*i. What is the second derivative of 2*p**2 + p + 8 - 8 + i*p wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7420533?\nAnswer: 3, 2473511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -13.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i + 4*i**2 + 0*i**3 + 0 + 3\/20*i**5 + 0*i**4. Let r(l) = -4*l**2. Calculate r(w(n)).\nAnswer: -324*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 21*b + 62. Let j be i(-3). Is -2\/209 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3126 - 3123. Let r(f) be the second derivative of -3\/10*f**6 + 0 - 1\/4*f**4 - 3\/5*f**5 + 0*f**2 - 11*f + 0*f**w. Factor r(m).\nAnswer: -3*m**2*(m + 1)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5*q = -45, 0*q = -5*g + 2*q - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11346.6 rounded to the nearest one hundred?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/30 + w**2\/5 + 4*w\/15 + 13. Factor n(g).\nAnswer: -2*(g - 2)*(g + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 155 - 145. Suppose -a = -2*h + 294. Is 74 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)*-1)\/sqrt(4))\/((1*(sqrt(7)*2 - sqrt(7)) - sqrt(7)) + sqrt(7)) + -2.\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2533\/65 + 196\/5. Let b be ((-3)\/4)\/(6\/(-4)). What is the third smallest value in b, o, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.03 plus 169304.311?\nAnswer: 169320.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -396 or -506?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -784*s**3 - 210*s**2 + 4*s.\nAnswer: -2*s*(7*s + 2)*(56*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.516106 rounded to 1 decimal place?\nAnswer: -32.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b + 784 = 25*b. Let k = -49 - b. Suppose -7*q + 14*q - k = 0. Solve 2*o + 2 = -3*n - n, 3*n + q = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Suppose -3*x = -f*w - 57, -w = -x - 6*w + 19. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 40, -1\/9, -1\/3, -2\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 7:37 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u = -19*u - 26*u. Solve -3*q - 4*g + 19 = u, -5*q - g - 5 = -14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-9) - (-6)\/27. Suppose 3*k - 122 = -2*m, -b*m + 6*k + 106 = 5*k. Calculate the remainder when m is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c - 1. Let a(r) = 6*r**2 - 38*r - 5. Determine a(p) - 4*l(p).\nAnswer: 2*p**2 - 34*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s. Let y(f) = f - 6. Let t be y(8). Suppose 3*a = t*a + 4. Solve s*l = a*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 1 - 5 + 8*x**2 - 8*x - 3 + x**3. Let v be i(-9). Let m(t) = -t**3 + t - 3. Determine m(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.34 + 1.14. What is the closest to j in 0.1, -4, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.12, 4, 5, 2, 2\/23, 61?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159439 or -159299?\nAnswer: -159439","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1357 (b) 1\/15 (c) -2\/5191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*g - 1077, -3*h + 0*g = -g - 3259. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1337 = -133*x - 140. What is the remainder when 145 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-8))\/(70\/(-280))*(-12)\/95.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let q(n) be the first derivative of 44*n**3\/3 - 22. What is x(q(r))?\nAnswer: -88*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 48, 42, 34, 24, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 8:57 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.091\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from fwwwwwutw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**3\/3 + 7*z**2\/2 + 35*z + 2. Let y be c(17). What is y rounded to the nearest 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 + 0*n**2 - 2*n**2 + 2*n + n**2 + n**2 - 4*n**2 + (1 + 4 - 4)*(-n + n - n**2) to the form g*n**2 + v*n + f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11686901831 take away 0.0219?\nAnswer: 11686901830.9781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/(2\/10). Suppose v + 40 = 6*v. Suppose 5*l - 29 = -2*n, n + v = o*l + 3*n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -474 at most -12820\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277\/1841 + -2\/263. Let i = 4.1 - 4. Sort u, i, 0.2, 5.\nAnswer: i, u, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -5. Let j be v + (-1 + 2)\/1. Let n be j\/(-9) - 6\/(-27). Which is smaller: n or 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(152) + sqrt(152)*-1)*-3 - (sqrt(152)*1*6 + sqrt(152)))\/(3*sqrt(32)*-3))**2.\nAnswer: 607\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878 equal to 3879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149660216 to the nearest integer?\nAnswer: 12234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 79*p - 79*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a + 194*a**3 + 11 - 7*a - 153*a**3)*(5*a - 3*a + 2*a).\nAnswer: 164*a**4 + 8*a**2 + 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8*o + 1782 = 0. What is the highest common factor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -577120 - -20?\nAnswer: -577100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15762152, -15762140, -15762128, -15762116, -15762104, -15762092?\nAnswer: -15762080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = -4. What is the remainder when 70 is divided by 4 - -12 - 2 - p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 3. Let i be l(-3). Let q(b) be the first derivative of b**2\/2 + 10*b + 49. Let z be q(i). Solve 8*r = 3*r - z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let r = 2 - i. Is (10\/(-6) + r)*-24 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = -8*d - 4*d + 5*t - 29*t + 195, 11*t - 73 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*d + 6*d. Suppose 2*o = 3*o - 2, -3*l - 3*o + 18 = 0. Suppose -l*f + 26 = -d*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = 0, 20*c - 343 = -4*j + 25*c. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:18 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v**2 + 4*v - 6. Let a(t) = t**2 + 3 - t - 2 + 0*t**2. Determine -6*a(x) - o(x).\nAnswer: 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*z - g, -2*z - 16 = -4*g + 2*g. Sort -0.3, -1.1, 0.3, z in ascending order.\nAnswer: z, -1.1, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 55*o**3\/3 - 109*o**2 - 80*o - 1. Differentiate j(c) with respect to c.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 2*f = 3*m + 14, -4*f = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209399 is divided by 756.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 15.1. Let w = 0 - g. Suppose -4*x = 5*v - 22, 4*v - 17 = -2*x - x. Which is the closest to w? (a) v (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262610 (base 7) to base 5.\nAnswer: 3032012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2676 + -22421?\nAnswer: -17523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/198 and -69\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.9 + 5. Let d = -0.3 - a. Let k = d - -0.31. Round k to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 6*h - 7. Let t be l(-9). Suppose -2*r + 60 = t. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16511176 and 21206?\nAnswer: 379757048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 11, -4, 2\/7, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10072*l + 1558*l + 2765*l to k + h*l and give h.\nAnswer: 14395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shhjjjhshsjjsshhhh. What is prob of sequence hjhj?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -5*f. Let z = -1.2 + 0.2. Let s = -0.7 - z. Which is the second smallest value? (a) -2 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -4. Let x be ((-3)\/2)\/(a\/4). Let m = 10 - x. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 (base 13) in base 5?\nAnswer: 40210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30419 + 30497 = -6*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 - 4*z**4 - 2*z**4)*(7*z + 12*z - 6*z) + (8*z**2 + z**2 - 2*z**2)*(2*z**3 + z**3 - 5*z**3) + 2*z**4 - 2*z**4 + 2*z**5.\nAnswer: -25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from doqihkh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(-14))\/(1\/2) - -4. Suppose 4*m + 2*x - 35 = -9, -z*m + 3*x + 49 = 0. Suppose -10 + 330 = m*l. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Suppose 4*f = 3*f + 4. Suppose -f*p - p = 45. Let y be 6\/p - (-28)\/6. Let a(w) = 3*w + 1. Calculate y*s(q) - a(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*j + 4*o, 5*j + 9 = -2*o - 6. Let m = 3 - j. What is the greatest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/141 (b) -2\/15 (c) 0.18769\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 + 1.9. Let l = v - 8.68. Let z = -6.82 + l. Which is smaller: -2\/11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 5*q + 5000. What is q rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9846.839mm to micrometers.\nAnswer: 9846839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 - 53*i**2 - 22*i - 34. What is s(-1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74.0161 - 74. Round n to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10442 (base 7) in base 3?\nAnswer: -10121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 v when three letters picked without replacement from vxvlxxxlxxxxxxx.\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96492852?\nAnswer: 2, 3, 2680357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r. Let l(v) = -v + 18. Let s be l(17). Let o be s\/(-2) - 30\/(-12). Let b(g) = 2 - o*g - 2 + 0*g. Determine f(b(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:44 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 5*i + 15*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2058 + 2055. Let a(z) = -49*z**3 - 3*z + 3. Let f(o) = 588*o**3 + 35*o - 35. Determine n*f(y) - 35*a(y).\nAnswer: -49*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204711 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**5\/2 + 33805134*k**4 - 38092956913428*k**3 + 121897143002688*k**2 - 30474170813304*k - 121897115958624 = 0. Calculate k.\nAnswer: -4\/5, 2, 2253674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -50*p**3 - 15*p**2 + 11*p. Let z(s) = -22*s**3 + 14*s + 12*s**3 - 3*s**2 + 2*s - 14*s. Calculate 2*k(t) - 11*z(t).\nAnswer: 10*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 58 - 32 - 41 - (2 - 18)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 m when three letters picked without replacement from xxmhsmmmxmmfsmmmh?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/24 + 2*b**3 + 6*b**2. Let s be q(-9). Solve -2*r + 1 = -s*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/72 + 4106\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 96. Solve 4*z - 5*l = -4*l - 10, z - p = -4*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 2 - 6*1\/((-3)\/(-2)). Let z(f) = -5*f + 9. Let y(d) = d - 1. Let q(v) = 4*y(v) + z(v). Determine q(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -267717641\/31 + 8636907. Let m = 854 - d. Is m > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48.8 + -43. Let r = q + -0.8. Are r and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3358156357.\nAnswer: 1049, 3201293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114723101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*14\/(-63).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(5) - (-3 + sqrt(5) + -4)**2) + 4 + 1 + sqrt(20) + sqrt(100)\/sqrt(5).\nAnswer: -51 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b + 7. Let f be z(-3). Let k be ((-1)\/(-1) - f) + 2. Find the third derivative of -13*m**5 + 13*m**k - 5*m**2 - 2*m**6 + 9*m**6 wrt m.\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - b**2 - b. Let g(v) = 124*v**3 - 4*v**2 - 2*v - 13. Let s = -263 - -265. Let n(p) = s*c(p) - g(p). Find the third derivative of n(o) wrt o.\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 337363, 4\/5, -4, 3, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-11 + 16 + -34).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6104 a factor of 764179739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35886599807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -9, -480 in descending order.\nAnswer: 4, -9, -13, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 217 in -2, -1.2871, -2\/9, -16?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u. Let j(s) = -5 + s - 5 + u. Let q be j(12). What is the highest common divisor of q and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.88 times 6\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 28. Let w = g + -9. Let k(b) = 7*b**2 + 2*b - 2. Let y(x) = 3*x**2 + x - 1. Let c(o) = w*k(o) - 5*y(o). What is c(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 716820 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5418*z**3 - 7*z - 1803*z**3 - 1805*z**3 - 1806*z**3.\nAnswer: 4*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273022?\nAnswer: 2, 37, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*u - 7400 - 23*u + 7391 + 3*u**2 to d*u + l*u**2 + r and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 58 = 8. Solve -3*p - 4*v = 2*p + 5, 2*v = -c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4182\/11 + -380. What is the closest to -8 in t, -2\/13, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14419614 and 396.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o**3 - 20*o**2 - 11*o - 2. Does 40 divide t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 398 + m**2 + m - 39 - 197 + (0*m**2 - m**2 - m**2)*(-2 + 1 - 1) in the form g + k*m**2 + b*m and give g.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 e, and 1 u when four letters picked without replacement from yekkkkykuskskkkskkkk?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 616108 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*u - 28 = -68*u. Suppose 5*n - 6 = 7*n. Put n, u, 3, 8 in descending order.\nAnswer: 8, 3, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = 3*l, l = -4*h + 20 - 2. Find the second derivative of -7*f + 20*f**2 - l*f + 5*f - 24*f**2 - 3 wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = 5*i, -3*b = 3*i - 12. Suppose -b = a + 2*s + 9, -4*a - 33 = 5*s. What is the closest to 1 in 2, a, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 10*o. Suppose -a - 3*a + 20 = o. Factor -m**5 - 4*m**5 + a*m**4 + 43 - 43.\nAnswer: -5*m**4*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h**2 + 2*h**2 + 0*h + 0*h + h**2 + (0*h + 0*h - h**2)*(-1 + 2 - 2) - 3*h**2 + 3*h**2 + h**2)*(25 + 8*h**3 - 25).\nAnswer: 32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415675 is divided by 1219.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.18788 kilometers in micrometers?\nAnswer: 33187880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, l: 2, g: 1, d: 4, e: 3}. What is prob of sequence ld?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 2. Let j be d(-1). Suppose 179 = 3*k - 5*w, -j*k + 2*w + 327 = 93. Is k a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 47. Let k be (-7)\/z + (-30)\/75. Sort k, 3, -5 in increasing order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77578272359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/5, -44, -0.3, -9\/37, -8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4098, -8191, -12284, -16377, -20470, -24563?\n\"Answer: -4093*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121023 + -1?\nAnswer: -2121030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4) + 1\/1. Find the third derivative of y**4 + 2*y**4 - 2*y**2 + 2*y**2 - 4*y**t wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/12)*w**1*(w**(2\/3)*w)\/(w\/(w\/w**(-3\/4)*w)))**(1\/5) assuming w is positive.\nAnswer: w**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -91 and -7.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*h - 100*h + 194*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633156 is divided by 1548?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + a + 2*a)*(-3 - 2 + 3)*(3 - 1 - 1)*(-3 + 0 - 2)*(0 - 5 + 3) as w + i*a and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 0*d**3 - d**2 - 5*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22171, 22170, 22169, 22168?\nAnswer: 22167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -18*j + 36, 11*r - 15*r = -3*j + 27 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -516 + 258 + i + 257. Determine y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 0, -7*o + 8*o - 4*d = 5. Let u = -0.9 - -1. Let z = 0.3 - u. Which is the third biggest value? (a) -1\/3 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 7 + 1. Let k = 4 + q. Calculate the lowest common multiple of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2766416 divided by 148\nAnswer: -18692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/27 - (3 + (-65)\/9). Suppose -h = -2*h + c. Solve 0 = l - h*a + 3, 2*l - 20 = -3*a - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.3 times -5\nAnswer: 136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -0.04028\nAnswer: -4.04028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33578800 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151513.5 millimeters to meters.\nAnswer: 151.5135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.699196 millimeters?\nAnswer: 9699.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5287*x - 9655. Let v(d) = -1322*d + 2413. Let t(i) = -2*p(i) - 9*v(i). Find the first derivative of t(o) wrt o.\nAnswer: 1324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(3\/(-3) - -3). Suppose -m*p + 9 = -2*l, -2*l + 21 = -p + 6*p. Solve 0*s = 5*s + l*b + 2, -2 = s - b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from pvvvpvpvvvppvpppvvp?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1481 - 25179\/17. Is a at most 3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285 - -499. Let u = -137 + t. Let o be (-26)\/(-7) + 22\/u. Solve -a - o*a = 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(180) + (2*sqrt(180) + -4 - sqrt(180))).\nAnswer: -16 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1100 - 1096 - 1113 + 3309 - 9*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -c + 8. Let h = -31 - c. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1702 + 30842. What are the prime factors of h?\nAnswer: 2, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/8 - 3*g\/8 + 27\/2 = 0. What is g?\nAnswer: -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**6 - 23\/3*w**4 + 6\/5*w**5 + 0 - 4\/21*w**7 - 9*w**2 - 16*w**3 + 23*w. Suppose j(b) = 0. What is b?\nAnswer: -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 22)*(-2)\/(-4) - -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n + 0 - 3 - 2 - 4*n**3. Let j(l) = l**2 - 1. Let g(b) = 5*b**3 + 6*b**2 - 6*b. Let d(h) = g(h) - 6*j(h). Let m(x) = -5*d(x) - 6*k(x). Factor m(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/98 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -22*v**3 + 5*v**2 + 7*v - 2. Let n be w(6). List the prime factors of n\/(-77) - (-1)\/7.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*x**2 - 2*x**2 + 28*x**2)*(-2*x + 0*x + 4*x) to t + h*x**2 + v*x + k*x**3 and give k.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13648993 and 1373.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -4, -24, -62, -124, -216, -344, -514?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21764643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1595\/440 - (-33)\/(-9).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-8))\/(1\/(-12)). Let s(u) = 2*u**3 + 3*u**2 - 9*u - 14. Let v be s(-3). Is v != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655583513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -452695041.77 and 3.\nAnswer: -452695038.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - f, 0 = -h - 4*f - 1 + 24. Let x = h - 3. What is the third derivative of 3*o**5 + o**2 + o**2 + x*o**2 wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 19*r - 51. What is u(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90 + 112 - 22)*(-4*k + 0*k + 3*k)*(-3 + 2 + 3) to p*k + t and give p.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 1\/3, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Suppose f*a + 6 = 22. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -63, -4, -45 in descending order.\nAnswer: -2, -4, -45, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*l + 1 - 1 - 34*l.\nAnswer: -75*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-1029 + 1056).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*x**2 - 8*x**2 + 7*x**2 as p*x + f*x**2 + o and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = 18. Suppose 2*b - 3*k = 3, -5*k + 4*k + 3 = -2*b. Let c = b + 7. Solve 0*x = -l*x - c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)\/((-2)\/4). Let i be 636\/36 - v\/3 - -3. Calculate the greatest common divisor of i and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3750 + 1917. Which is greater: s or -3665\/2?\nAnswer: -3665\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 14 - 2)*(2*f + 0 + 0)*(0 + 3 - 4) as t*f + z and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 28*u**2 - 32*u + 164. What are the prime factors of j(13)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/21 + 922*a\/3 - 6452\/21 = 0 for a.\nAnswer: 1, 3226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2.6, 2\/7, -3350, 4 in decreasing order.\nAnswer: 4, 2.6, 2\/7, -1\/2, -3350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14891818 and 2012.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**5 - 2*g**4 + 1601261*g**3 - 219954*g**2 - 2*g - 3?\nAnswer: -240*g**2 - 48*g + 9607566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + -110000?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2020991 - 9*g**2 + 2020991.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-11) + 212\/44. Suppose -t*l + 2*d = d - 238, 0 = 2*l + 4*d - 104. 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: Simplify ((s**(1\/7)\/(s\/(s\/(s\/(s\/(s**(-2\/11)\/s)))*s)*s))**(2\/5))**36 assuming s is positive.\nAnswer: s**(7344\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/(-5 + -1). Let a = 103 + -617\/6. Let y = 127\/4 + -31. What is the closest to z in -0.3, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 3*s + 4*s)*(16896 + 17671 - 35553).\nAnswer: 1972*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 10*s - 1. Let r(z) = 29*z + 5. Let j(q) = -10*a(q) - 2*r(q). Let n(y) = -9*y - 6. Let l(k) = k + 1. Let b(x) = -6*l(x) - n(x). Determine b(j(c)).\nAnswer: -474*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 4*x - 4*x)*(-173*x**2 + 1555*x - 1555*x).\nAnswer: -173*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -102*i - 8 - 106*i + 207*i. Give g(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 + 4*x**3 - 11*x**3 + (5*x + 2*x - 5*x)*(x**2 - x**2 + 2*x**2) + 2*x**3 - 6*x**3 + 8*x**3 in the form y*x + n*x**2 + z*x**3 + b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, r: 1, t: 3}. Give prob of sequence ft.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6438804594.\nAnswer: 2, 3, 31, 3067, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - 4*sqrt(1008))*3 + sqrt(1008))\/(-1*4*sqrt(576)) + 1.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930701?\nAnswer: 3, 643567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-40))\/(2\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.25 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o - 3. Suppose -3*l = 2*l + 10*l. Give p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*u + 166, 2*h - 4*u = 4*h - 68. Let b = -29 + h. What is the third derivative of 38*j**3 - b*j**2 - 38*j**3 - 14*j**2 + 10*j**6 wrt j?\nAnswer: 1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00848389 to 5 dps.\nAnswer: 0.00848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 f when four letters picked without replacement from {b: 3, f: 3, q: 2, h: 6, c: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - -8. Calculate the remainder when d is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 32 + 561 + -596 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 898070931 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7277480291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 234917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -3*sqrt(300) + 3 + (sqrt(300) - (2 + sqrt(300)*-2)) - ((sqrt(300) - (sqrt(300) + 1 + sqrt(300) + 3) - (-3 + sqrt(300) + 0)) + -2))**2.\nAnswer: 240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b. Let w be n(-3). Let a be (-2)\/w - (2 - 2). Put -0.4, 1\/5, a in decreasing order.\nAnswer: 1\/5, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 6. Suppose 4*m + 3*l + 31 = -0*l, 2*m = -2*l - 16. What is the tens digit of z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-3 - (26 + -11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmmddzmm. Give prob of picking 3 d and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q - 14*q - 10. Let v(c) = -3 - q + c + 1. Let k = 957 + -951. Calculate v(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jnjneajujjan.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*-1*4)\/((sqrt(847)*2 - sqrt(7)) + sqrt(7) + (sqrt(7) - sqrt(28)\/sqrt(4))*3).\nAnswer: -2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 11*y**2 + 45*y + 40. What is d(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20177325.\nAnswer: 3, 5, 7, 23, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8*n = -1278. Let v = n + -136. Solve 7*r - v - 22 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59648110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000991072 to 6 dps.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 310 = -155*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/10 - 1211191*m\/10 - 605596\/5 = 0.\nAnswer: -1, 1211192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -158, 3.\nAnswer: -158, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859*f**3 + 92*f**3 + 213*f**3.\nAnswer: -554*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(7)*-1) - sqrt(21)\/sqrt(3)*2) + sqrt(448) + (2 + (sqrt(448) - (sqrt(448) + -1)))**2.\nAnswer: 9 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:49 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -565 - -568. Suppose -17 = -3*a - 32, 0 = 5*w + f*a - 4955. What are the prime factors of w?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28640 and 240.\nAnswer: 85920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 - -133. What is the remainder when 186 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150) + sqrt(150) + sqrt(150)*1 + sqrt(150))\/sqrt(3) + sqrt(50) + -3 - (-1 + ((sqrt(36)\/sqrt(9))\/sqrt(2))**2 + -4).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*c - 16 - 188*c + 60*c + 63*c as r*c + v and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Put 4, 3, -17843, -1, 5 in decreasing order.\nAnswer: 5, 4, 3, -1, -17843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8904840?\nAnswer: 2, 3, 5, 7, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 - 170. Suppose -s*f - 32 = -26*f. Let z(y) = -y**3 + 7*y**2 + 8*y - 8. Determine z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -1\/2 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 32. Let w be n(13). Find the first derivative of 18*b**2 - 32*b**2 + 6*b**2 - w wrt b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1896*j - 923*j - 1533*j = -43*j - 64635 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 + 2*d**4 - 2*d**3 - 7*d**4 - 3*d**2 + 0*d**3 - 3*d - 3 as s + o*d**2 + m*d + t*d**3 + h*d**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 79*u**2 - 51*u**2 - 33*u**2 to s*u**2 + g + q*u and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 0.3, 714 in descending order.\nAnswer: 714, 21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 11205*b**4 + 2264895*b**3 + 4494235205*b**2 + 807334479600*b + 802842520500 = 0.\nAnswer: -285, -1, 1406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 5. Suppose -14*l = -13*l + 2. Is d*(-3)\/(-3)*l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1532*u - u**2 + 3072*u + u**3 - 1539*u + 3. What is x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/3*63\/6. Let m(v) = -v**2 - 8*v + 8. Let h be m(-7). Suppose -2*t = t + 3*y, y + h = 4*t. Is t at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147, 316, 497, 696, 919, 1172, 1461?\n\"Answer: m**3 + 162*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000011011010 + -100?\nAnswer: -101000011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1531, 10390, 34351, 80938, 157675?\nAnswer: 272086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 39*t**2 + 333*t - 122. Determine w(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/9 - 0)*3. Sort q, 0, 2 in descending order.\nAnswer: 2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) + 1434\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -11 + (-3 - (1 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 168, 594, 1732, 3942, 7584?\n\"Answer: 60*m**3 - 4*m**2 + 18*m + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/129082 + -148869\/2554145534. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80851953 a multiple of 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3050 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 22*u**2 - 15*u**2 - 8*u**3 + 18*u**2 + u + 0*u**2.\nAnswer: -8*u**3 + 25*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303424 (base 5) to base 2.\nAnswer: -10011010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**3 - 17*d**2 - 92*d - 75. Give b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*m + 2365 - 238 + 3435 = 0 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (81\/18)\/((-8)\/6). Let t = l - -143\/40. Let u = 0.53 + -3.53. What is the second biggest value in u, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o*q**3 + 1175484*o*y**2 - 3*o*y + 309526*q**4*y**2 wrt q.\nAnswer: -6*o*q**2 + 1238104*q**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n = 2*r - 6, -3*n = r - 7. Solve -31 = -5*b - 2*j, -2*b - n*j + 21 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -154*w**3 + 4458*w**2 - 4080*w - 224 = 0?\nAnswer: -4\/77, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 506 and 176?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 12:30 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -25. Let i(f) = -f**3 - 2*f**2 + f + 19. What is the remainder when t is divided by i(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = 3. Let y be 2\/1*(k + 3). Suppose -c + 4*c + h = y, -c + 8 = -3*h. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-1 + 0 + 6)*(d + 3*d - d)*(0*d**2 - 2*d**2 + 0*d**2).\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d = -65*d + 4*k - 25, -5*d = 7*k - 43 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iizz when four letters picked without replacement from {z: 4, i: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -2*t - z - 1, 4*t + 4 = -4*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 2*r - 21, -15*r + 16 + 13 = 3*h + 20 - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12096.6 and -7.\nAnswer: 12089.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2401403 and 493.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17405 - 313181\/18. Calculate the common denominator of c and (-188)\/12 + 1 - -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392773 is divided by 64930.\nAnswer: 3193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*b + 8 - 20 = 0, b = -4*d - 15. Which is smaller: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -591, -52, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7.5 (b) 4 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h + 26 = 2*l, 2*h - l - 3 = 0. Determine f so that 6*f**3 + 6*f**2 + 6*f**h - 3*f**4 - 3*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*r = 2*r - 12, 4*r + 8 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8))**10)**(11\/6) assuming q is positive.\nAnswer: q**(-440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, b: 13}. What is prob of sequence bb?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 26 = -5*a + 6, 3*a + 20 = 4*p. Suppose 5*f - 3*t + 8*t - 1000 = a, t = 5*f - 988. Calculate the remainder when f is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*s**2 + 3*s + 166 - 71 + 772 wrt s.\nAnswer: -256*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72530?\nAnswer: 2, 5, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/59553 and 80\/59553?\nAnswer: 59553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (-5 + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -217 + 47, 0 = -4*f - 12*z + 21*z - 159 - 147 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*(f**(-4\/5)\/f)\/f*f)**(-19))**(-4\/15))**2)**24 assuming f is positive.\nAnswer: f**(1216\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 964203576 a multiple of 1281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -14. Suppose -4*u + 75 = -21. Let t be a - 38\/u*-2. Sort t, -1, 0.2 in descending order.\nAnswer: 0.2, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/10)\/(45\/2540). Let n = 85 - p. What is the closest to 1 in -4, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s - 14. Suppose -g = 7*g - 48. Let i(v) = v + 2. Let q(u) = g*i(u) + l(u). Give q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 + 8*r - 6. Let u(v) = -4*v**2 - 7*v + 7. Let j(t) = -3*b(t) - 4*u(t). What is the least common multiple of 22 and j(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 + -78. Calculate the greatest common factor of 49 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. Let r(g) = 5*g**2 + 3*g + 2. Let o be (-6*(-6)\/9)\/(-2). What is the remainder when r(o) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*a - 32*a + 45*a in the form f*a + v and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 558359 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 4, w: 3, d: 2}. Give prob of sequence wa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10118139 + 11626861. Round i to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 184 + 551\/3*r - 1\/3*r**2.\nAnswer: -(r - 552)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0 - 2) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -91, -97.2, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 9, 4 in decreasing order.\nAnswer: 9, 4, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 7*o**2 + 2*o + 3. Calculate c(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 15 (c) -4\/7 (d) 261.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 0 (b) 2\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-3\/4)*a)*a*(a\/a**(3\/5))\/a*a)**(-3)\/((a*(a\/a**(-2\/15))\/a*a**(3\/5))\/(a\/(a**0*a))**(-8)) assuming a is positive.\nAnswer: a**(-491\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19362, 38708, 58054, 77400, 96746, 116092?\nAnswer: 135438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9540, 9542, 9544?\n\"Answer: 2*a + 9538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 9*p**2 + 8*p + 2. Let q be x(8). What is the third derivative of b**3 + 0*b**3 - 2*b**2 - b**2 + 4*b**q wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.7 - 57.6. What is the closest to 2\/43 in 2, 1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 383 by 9.\nAnswer: 383\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -20.2. Put -1\/5, k, -3 in descending order.\nAnswer: k, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 22 + 2*d**2 - 9*d**2 + 9 - 3*d**3 + 5*d**2 as x*d**2 + r*d + z*d**3 + q and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -683?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 0) + (-2 - -2). Suppose 4*g - a*c = 2*c + 40, -c = -g + 9. Suppose g*v - 3 - 12 = 0. Solve -3*s + 4*h - 20 = 0, -s - v*s + 3*h - 15 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 110*p - 376*p - 8930 = 201*p for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((1 - -3) + -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/1)\/(-9 + 8). Solve 3*l - 4*j - 15 = h, 4*j + 13 - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 715*w**7\/42 - w**4\/6 + 169*w**3\/6 - 74*w + 3. Find the third derivative of d(l) wrt l.\nAnswer: 42900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 137 - (-119 + 180)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002555144354 to six dps.\nAnswer: -0.000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.1258 millennia in decades?\nAnswer: 83112.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 920*d**2 + 2*d + 14 - 11 - d**3 - 918*d**2 as n*d + m + s*d**3 + q*d**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 16*k + 172 - 2*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -24699808 greater than or equal to -24699805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(1\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y + 247797 = 246847 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 14503468?\nAnswer: -14503462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 20*f + 26. Determine p(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 54*g - 178. Give b(-23).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -194 - -765. Let i = -2787406 - -55736687\/20. Let b = w + i. What is the common denominator of b and 57\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5235, 20874, 47057, 83784, 131055, 188870, 257229?\n\"Answer: 5272*s**2 - 177*s + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-216)*27\/90.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 464.16 + -0.5?\nAnswer: 463.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u. Suppose u = -2*i - i + 33. Let l = 17 - i. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 36, 33, 124, 363, 804, 1501, 2508?\n\"Answer: 9*o**3 - 34*o**2 - 4*o + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, 0.2, -5, 6.75 in descending order.\nAnswer: 6.75, 5, 0.2, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263797 - -71776. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -959 + 929.28. Let x = -29 - m. What is x rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r**(-12))\/((r*r**(-6))\/((r**(4\/7)\/r*r)\/r)) assuming r is positive.\nAnswer: r**(-111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 2*s + 2. Suppose 7 + 1 = 4*g. Suppose 0 = -x - 2, 0*x + 12 = -g*y - 3*x. What is p(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60462900*a*r**3 - 2*a*r**2 + 74*a + 337348 wrt r?\nAnswer: 181388700*a*r**2 - 4*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23809 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4001.\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, 0.5, -1\/11, -0.119, -301?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3112*u + 77512 = -93648 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 3*d + 1. What are the prime factors of k(8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -86.524. Round s to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 794 + -789. What is the fourth smallest value in s, 10, 2, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 20083 = -7*i + 20114, 4*i = 3*p - 61 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -497567 and -497566 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -468345, -936686, -1405027, -1873368?\n\"Answer: -468341*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a96a3 (base 11) to base 3.\nAnswer: -22002102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(5*(sqrt(171) + -2))**2 - (sqrt(38) + sqrt(5472) + sqrt(5472)*2 + sqrt(5472))\/(sqrt(8)*-1)).\nAnswer: -13127 + 1849*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2525 = 6*v - 2*v, -f = -5*v + 505. Are -505 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.2 (b) -0.29 (c) 12587\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -28 (b) -3 (c) -7 (d) -4\/13 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.8646 + -14.8235987. Let d = -0.0996 - -0.0586. Let b = r + d. Round b to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57905.9766 and 5.\nAnswer: 289529.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-20 - -25) - (-78 + 12 + -11)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -350, -528, -732, -974, -1266, -1620, -2048?\n\"Answer: -2*b**3 - b**2 - 161*b - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-120) - 57\/(-95). What is the third biggest value in 1, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 907761 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/7 - 240*c**2\/7 + 7379*c\/7 - 1020.\nAnswer: (c - 204)*(c - 35)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 3*n - 34 - 4*n + 2*n + 4*n + 0*n - 3*n + 2*n + (1 + 2 - 2)*(0*n - 2*n + n) - n - 4*n + 3*n)*(-2 - 2 + 6).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 5*g + 2. Suppose 3*o = 4*o - 3. Suppose -5*w + 21 = -4. Suppose 17 = o*i + w. Calculate y(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s, -5*s - 126 = -l - l. Let n = -64 + l. What is the highest common divisor of n and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z + 5*l = -110, -2*l = -z - 13. Let o(u) = u**3 + 19*u**2 - 3*u - 4. Let h be o(z). What is the greatest common divisor of h and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-11 + 693)\/(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -14 - 6. Suppose 1 = s - m. Suppose 0 = -27*t - 122*t + 9*t. Solve -4 = l - 3*j + 3, 5*l - 3*j + s = t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -3*x**4\/2 + 4*x**3 + 1. What is the third derivative of g(w) wrt w?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**6\/360 - n**3 + 3. Let c(b) be the third derivative of w(b). Let t(z) = -5*z**2. Determine c(t(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 5*h + 5. Let b(s) = 3*s**2 - 7*s - 7. Let o be (-1 + 22)\/3 - 2. Suppose -38 + 13 = o*u, 5*y = u - 20. What is y*b(z) - 7*p(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 41 - 49, -5*c = -3*w + 53. Solve -w*p - 15 = -6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33\/4 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c*c*c\/((c\/(c*(c\/(c\/c**(-2\/9)))\/c*c))\/c)*c*c*c)**40*((c\/((c**0*c)\/c))**(-2\/43))**(3\/26) assuming c is positive.\nAnswer: c**(9145051\/35217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -0.4 (b) -90 (c) -0.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1049*p**2*w - 33*p**2 + p*w**2 - 2*p - 1240977*w**2 - w wrt p.\nAnswer: -2098*p*w - 66*p + w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -26. Put y, -5, 0 in descending order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*s - 0 - 3, -s = 3*n + 3. Let h(k) = -1. Let f(u) = 3*u**2 + 6. Let w(q) = n*f(q) - 6*h(q). Let m(o) = -17*o**2. What is m(w(x))?\nAnswer: -153*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78)\/(-48) - (-15)\/40. Let d be ((2*10)\/(-2))\/(-2). Find the third derivative of 3*p**5 - 11*p**w - 12*p**2 - 8*p**2 + 7*p**d wrt p.\nAnswer: 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-2 + 1 - -66). Suppose 3*x - 5*c - 31 = 0, 2*c = 5*x + 4*c - b. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73.643 + -604.\nAnswer: -530.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -407193\/28 - -14541. Let p = -6\/7 - q. Factor 3\/2*h + 0*h**2 - p*h**4 + 3\/4 - 3\/2*h**3.\nAnswer: -3*(h - 1)*(h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 49*s**3 - 3*s + 6. Give m(2).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -43195.6 + -927.74\nAnswer: -44123.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1428\/5 + 286. Sort 0, 2, 0.02, l.\nAnswer: 0, 0.02, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -13\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270557117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 750*i**4 - i**2 - 90*i - 3?\nAnswer: 9000*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 58577?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1296\/32)\/27)\/(3*2\/(-56))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2963384 by 2963384.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 108631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -18243664 to the nearest ten thousand.\nAnswer: -18240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/704 and -32*10*10\/12100?\nAnswer: 7744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2420 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 23*p - 11. Let l(j) = -2. Let m(y) = -6*l(y) + w(y). What is m(2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/(-2)*29986\/47.\nAnswer: 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 1 + w**3 - w**3 - w. Suppose 92 = 4*f + 4*y, 0 = -4*f - y + 12 + 77. Let p(q) = -12*q**3 + 11*q - 11. What is f*k(g) + 2*p(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210211010032310 - 2?\nAnswer: -210211010032312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-707)\/21 + ((-4)\/4)\/(34\/476)\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 570399.2g to kilograms.\nAnswer: 570.3992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32594 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47208719 + -5?\nAnswer: -47208724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9530 + 3?\nAnswer: -9527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13427 + -4130. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 148*u. Let s(y) = 5*y - 8. Let t(p) = 304*p - 448. Let n(d) = 56*s(d) - t(d). Determine n(b(j)).\nAnswer: -3552*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 15*h - 32. Let y be o(12). Suppose -4*v = 4*k - 1008, 4*v + y*k - 5*k - 988 = 0. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyvpvypj. Give prob of sequence pdyd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10620369 divided by -9\nAnswer: -1180041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 1. Let l(f) = -2*f**2 + 55. Give 4*i(h) + l(h).\nAnswer: -2*h**2 - 4*h + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -517*p**2 - 15*p. Suppose 4*k - z = 11 + 7, -k + 2*z + 1 = 0. Let u be a(k). Round u to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 3) to base 12.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 4. Let b be m(-3). Let a be (0 + 1)*(6 + -4). Suppose i = b + a. Solve r = -i*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4794592 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llr when three letters picked without replacement from {l: 2, r: 8, v: 5}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12440*u**3*x**3 - 2*u**3*x**2 + 7*u*x**2 - 628*x wrt x?\nAnswer: -74640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24634 to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71147796 to the nearest integer?\nAnswer: 8435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 3*g + 2*g + (-96 + 226 + 148)*(-3*g + 2*g + 3*g).\nAnswer: 558*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o + o. Let l be 2*(4 + -3*2). Calculate the remainder when 2 + 9 + (-4 - l) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/56)\/(-3))\/(221\/442)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s**4*w + 62349249*s**2*w**2 - s*w**2 - 173835*s*w - 9*s + w**2 wrt s?\nAnswer: -48*s**2*w + 124698498*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + 5*o**2 - 2*o**2)*(-18 + 18 + 199*o + 136*o) to x + k*o + j*o**2 + a*o**3 and give a.\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13097184 by -818574.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-270)*-9)\/(63\/135)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*b - 5*k, -2*b - 54 = -5*b + 2*k. Let i = b + -16. Solve -g - 3 = 0, -2*s - i*s - 2*g = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2624, 10881, 24636, 43883, 68616?\nAnswer: 98829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - 2 - (2 + 0). Suppose -3*c + s - 18 = c, 0 = -5*c - 2*s - 29. Let v = c - x. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 6*c + 40. Give y(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = -5*d. Let g(j) = j**2 - 4*j + 3. Let b(y) = y**2 + y - 1. Let x(u) = -4*u**2 + 7*u - 5. Let z(r) = -2*b(r) - x(r). Calculate d*z(m) - 9*g(m).\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 divided by 8?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 39 - 49)*(0*b - b + 0*b).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213801576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 2. Let z(t) = -t + 10. Let r be z(14). Let a = -5 - r. What is the closest to -1\/2 in a, 0.2, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3*z + 3, -325*z + 324*z + n + 11 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3958 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (0 - 0) + -5. Let h(v) = -v + 15. Let m(r) = 7. Let k(j) = 2*h(j) - 5*m(j). Is 5 a factor of k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*v + 2, 14 = -0*l - 2*l - 2*v. Let n(a) be the first derivative of a**3 - 3*a**2\/2 - 2*a + 10. Is n(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-145)\/(-232)*(-6)\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + (1 - (1 - (-6 + 12)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b39 + 0?\nAnswer: -b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:49 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1517752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.836 and 1.\nAnswer: 10.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2440 + 11?\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1380 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 305?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -108*r**3 - 21*r**2 - 9*r + 9. Let h(n) = 27*n**3 + 5*n**2 + 2*n - 2. What is 9*h(g) + 2*q(g)?\nAnswer: 27*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 3322037.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*f*q**2*t*y**2 - 109*f*q**2*t + f*q*y**2 - 2*f*q*y - 6*f*t*y**2 - f*y + 2*q*t*y wrt y?\nAnswer: -30*f*q**2*t + 2*f*q - 12*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -118868 (base 11) in base 8?\nAnswer: -555766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -9*h + 322. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -227*j - 5680. Let k be o(-25). Sort 3, k, 573.\nAnswer: k, 3, 573","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) -5 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 13. Calculate the remainder when 40 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmmmeydemmyye. What is prob of sequence yyym?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + (sqrt(272) + -1 + -4 - -2*(sqrt(272) + 0)))**2 + 5.\nAnswer: -216*sqrt(17) + 2538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9513*p**3 + 120*p**2 - 7*p + 1536. Let o(x) = 4757*x**3 - 72*x**2 + 4*x - 768. Let q(v) = 3*h(v) + 5*o(v). Find the second derivative of q(m) wrt m.\nAnswer: -28524*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let d = -10826\/12159 - -2\/1351. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811808 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4079 + -4076. Suppose -4*i = -15 + 3. Solve -6 = -i*u - z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, and 1 p when three letters picked without replacement from {p: 3, n: 3, a: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, i: 15, r: 2}. Give prob of sequence rp.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 271\/7. Let x(s) = s**3 + 5. Let m be x(-2). Let a(l) = -11*l - 32. Let n be a(m). Are n and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -8\/9, 1, -0.2, 5929\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 11:36 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49550575 is divided by 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 10, -4*u + 3*w - 34 = w. Let a(m) = m**3 + 7*m**2 + 4*m - 1. Calculate the lowest common multiple of 3 and a(u).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.42 + -0.42. Sort -5, 2, n, 3 in descending order.\nAnswer: n, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/20 + 13*j**4\/12 + 11*j**3\/6 + 5*j**2 + 2*j. Let d = -31 + 19. List the prime factors of v(d).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9628 - 3819 - 26489 = -384*t for t.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 131\/3. Suppose -f - f = 12. Let y be (f\/5 - -1)*-2. Which is the second biggest value? (a) o (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -1077, -1631, -2205, -2805, -3437, -4107, -4821?\nAnswer: -5585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-126)\/27 + 5)\/((-1)\/(-24)). Suppose -b - q = -22, -4*q - 35 - 12 = -b. What is the smallest common multiple of b and (-396)\/48*k\/(-2)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 6*d - 3. Let g(c) = c**2 - 1. Let v(r) = -4*g(r) + h(r). Calculate v(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 42 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/5 - 3428*f**2\/5 + 1079928*f\/5 + 353125008\/5 = 0. What is f?\nAnswer: -194, 954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 - 18*y + 1950. Let j be a(0). Calculate the greatest common divisor of 300 and j.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/13 - 548*j**2\/13 + 2*j\/13 + 548\/13 = 0.\nAnswer: -274, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 1 = -15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1282 - -11085. Let l(d) = 3*d**3 - 2*d**3 + 1 - 12368*d**2 - d + p*d**2. What is l(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*p = -36, -2*k + 1 - 4 = 5*p. Suppose m - 21 = 4*t - k, 50 = 2*m - 4*t. What is the smallest common multiple of m and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -34. Which is the biggest value? (a) g (b) 0.06 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -526.1 + 527.1. Let v = -5.7 + -1.3. Which is the second smallest value? (a) p (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 9:21 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d7 (base 15) in base 8?\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20348 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/6 - 2\/(-12). Suppose t = -4*o + 50 - 6. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9995, 5, -2 in descending order.\nAnswer: 9995, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (0\/(-4) - -2). Let p(z) = 399*z**3 + 4*z**2 - 7*z + 9. Is p(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -2*t. Suppose -t*g + 68 = -g. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -11. Suppose -2*l - 5*q = 11, q + q = 2*l + 18. Let g = r + l. Calculate the highest common divisor of g and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 5*k + 4. Let o(v) = 3*v**2 - 11*v - 7. Let q be o(5). Suppose -3*d - 2*g = -q, -2*d + g = -4*d + 9. Suppose d*w - 27 = 3. Calculate a(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Suppose -2*w + 31 + 33 = -5*d, q*w - 114 = 3*d. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/636 and -31\/1484.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d**(1\/32)\/d)\/(d\/(d**28*d)*d**(-1\/14)) assuming d is positive.\nAnswer: d**(5623\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 27823?\nAnswer: 27823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10083672 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2171 is divided by 199?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(17) - (0 + sqrt(17)))*-5 + (-4*(sqrt(136) + (sqrt(136) - -3*sqrt(136))) + sqrt(136))\/sqrt(8))**2.\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s = 100*s + 340. Find the first derivative of 210 - 84 + 59*i - s wrt i.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(((-18)\/(-3))\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -3\/2, 11\/24, 0.5?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 27*l**2 - 1515*l - 4593. Calculate r(59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82 * 0.5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - k + 55 = 0. Suppose -5*m + k*s = -25, -4*m + 17 = -3*s - 0*s. Factor 5*c**4 - c**4 + 54*c**2 + 62*c**m - 132*c**2.\nAnswer: 4*c**2*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.05 + -11.24. Round l to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*p + 21, -5*q + 5*p + 35 = -0*q. Let h(n) = n**2 - 8*n. Let c be h(q). Sort 5, 4, c.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/4 (b) -113 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yypy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 6*s**2 - 7*s - 1. Let j be y(7). Let u be 4*j*3\/(-6). Let r(f) = -2*f**2 + 4*f**u - 4*f + 0 + 2. Determine r(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020806 to five dps.\nAnswer: -0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 1 + s**2 + 12*s**3 - 16*s**3 - 157 in the form w*s**2 + z + c*s + x*s**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 479, 1107, 1991?\nAnswer: 3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 17*g - 1. Let y be b(-16). Suppose 30 = 5*i - y. What is the lowest common multiple of i and (8\/10)\/(2\/20)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50933*f**5 - 15*f**2 + 593 wrt f.\nAnswer: 3055980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 411 and 41237.\nAnswer: 123711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = 4*f, 4*f - 2 = 5*i + 8. Suppose 3*w - v + f*v - 26 = 0, 3*v = -3*w + 18. Solve -w*d = -5*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*f**3*x**2 + 9*c*f**3 + 19*c*f**2*x**3 + 2*c - 2*f**3*x**3 - 3*f**2*x**3 wrt f.\nAnswer: 12*c*x**2 + 54*c - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345819 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -40. Let h be (m\/(-15))\/(14\/15). Suppose 0 = 6*u + 12. Are h and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(-84*(-894)\/(-33376))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 2. Determine o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 818.\nAnswer: 163.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n + 5*j - 38, -2*n = -3*j - 11. Let a = n + -9. Calculate the remainder when 5 is divided by (-3)\/2*a\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j - l + 44, 0 = j + 4*l - 44. Suppose -5*a + 2*y + 47 = 0, 0 = -4*a - 4*y + 88 - 28. What is the highest common factor of j and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/12920 and -33\/284818.\nAnswer: 108230840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22789907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t. Suppose -5*n + 2*h + 624 + 892 = t, 0 = -5*n - 3*h + 1501. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - -0.21. What is the nearest to a in -3, -6, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4 + 6*p**2 - 4*p + 9*p**2 - 14*p**2. Let z be w(5). Calculate the remainder when 43 is divided by 1 - -5 - z*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170569120 plus 5619869?\nAnswer: 176188989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*6*(-2)\/(-2). Let j = -4 + w. Suppose 0*q + 21 = j*q + p, -5*q + 4*p + 72 = 0. What is the greatest common factor of q and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14212 and 7448.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 8*g = 6. Let l = -5 - -3.7. Let w = -1.2 - l. Which is bigger: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 408280239 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/12*18*5\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 57*d + 56*d = -5, -5*d + 5 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9))**(30\/7) assuming n is positive.\nAnswer: n**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/6)\/1)\/(14064\/(-10548))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 383596 and 1.\nAnswer: 383596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 0.1, -3, 19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 1 (c) 0.4 (d) -5\/2 (e) 177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 109 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 5*u**4\/24 + u**3\/3 - 9*u**2. Let t be v(7). Let r = t - 24. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110077 + 110081 + 110077 - 33*m**3 - 440315 + 110080.\nAnswer: -33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**5 - 4*k**4 - k**3 - 13*k**2 - 3*k + 3. Let r(t) = 3*t**5 - 3*t**4 - 12*t**2 - 3*t + 3. Let d(j) = -6*b(j) + 7*r(j). Factor d(z).\nAnswer: -3*(z - 1)**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c5ba8 (base 16) in base 8?\nAnswer: 7055650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/4 - 165*p**2\/4 - 153*p.\nAnswer: -3*p*(p + 4)*(p + 51)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.836 + -68. Let v = 0.564 + a. What is the biggest value in 0.5, -1\/3, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.16 + 19.246. Let m = -0.086 + p. What is the second smallest value in m, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 7*a + 0 + 0*a**3 + 0*a**2 + 5\/12*a**4. Let x(m) = m + 2*m - 2*m. What is x(o(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -4, -2, 5.\nAnswer: -4, -2, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1431*x**2 - 838*x**2 - 3*x + x - 7*x**2 in the form d*x + r*x**2 + b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuukuuuukuuuu. What is prob of picking 3 u?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36287927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - o**2 - 1 + (-o**2 + 4 - 4)*(-1 + 3 - 4) + (-41*o - 30*o + 3*o)*(5*o - 4*o + o).\nAnswer: -135*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34822144, -69644285, -104466426, -139288567, -174110708?\nAnswer: -208932849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 + 170 = -8*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 48.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 318.23328 and -2?\nAnswer: -636.46656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z**3 - 13*z + 57*z - 21*z + 5 - 8 + 2*z**2 - 18*z to t + s*z + p*z**2 + o*z**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 188334*v + 3955040. Determine b(-21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 6235*p + 2270100.\nAnswer: -(p - 345)*(p + 6580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.3 and 2247961703.09.\nAnswer: 2247961710.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 1 - 1)*(708 - 112 - 232)*(3*v**2 - 3*v**2 + 2*v**3).\nAnswer: 1456*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 217\/279 - (-1071)\/81. Which is bigger: -2\/111 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100120220200 (base 3) in base 4?\nAnswer: -232011030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 111 - 337 + 14*m**2 + 108 + 104.\nAnswer: 14*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -219\/13. Suppose 0 = -3*v + 2*t + 1444, 5*v - 2*t + 6*t = 2414. Let r = v + -3853\/8. What is the second biggest value in r, f, -3, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768438986 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1852850 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 32\/15 (b) 3\/2 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-1*4\/(-22)). Suppose -o = -5*l - 31, 2*o - h = l + 74. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 0 + -1 + 3 + (-73 - -152). Solve -h = -4*n - 102 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciciiccccc. Give prob of sequence ci.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -0.39. Let u be 15\/9 + (5 - -5)\/(-5). Which is the nearest to u? (a) g (b) -12 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.01, 2\/11, -1.77?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, 0.3, 0.019, -0.1?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 5*r + 1. Let g be b(-9). Round g to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 17. Let s(d) = 7468628*d. Determine s(j(u)).\nAnswer: 22405884*u**2 + 126966676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68090 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 418 = 766. Suppose 2*w + 142 - u = 0. Solve 0*i - w*i = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4\/5 - 633*i**3\/5 + 627*i**2\/5 + 633*i\/5 - 126 = 0.\nAnswer: -1, 1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) 48 (c) -1\/5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1022?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -0.1 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -11 + (2 - 3) + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -39*z**3 - 2*z**2 + 6*z. Let c(r) = 5032*r**3 + 259*r**2 - 777*r. Determine -777*a(t) - 6*c(t).\nAnswer: 111*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68\/27 in 0, -2\/3, 1, -18, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2\/3 - 273700*k\/3 + 3745584500\/3.\nAnswer: 5*(k - 27370)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 4054462\nAnswer: 12163386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3379 + 3999. Calculate the greatest common factor of h and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from {k: 1, z: 2, q: 1, y: 2, x: 2, f: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + 386. Suppose 113 = -h + y. Let v be 210\/h - (-4)\/(-22). Put v, 1, 0 in decreasing order.\nAnswer: 1, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-117 + 55 + 81)*(0*a**2 + a**2 + a**2) + (0*a + 0*a + a)*(1 - 1 - 2*a) + 121*a**2 - 117*a**2 + 85*a**2 in the form r*a + l*a**2 + z and give l.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqqsmwswasrwr. What is prob of sequence wwwm?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5832\/(-9234))\/(3\/(-38))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123627 and 2142868.\nAnswer: 6428604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4404, -17838, -40228, -71574?\n\"Answer: -4478*i**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 145*s = -149*s - 15050, -2*b + 30100 = 2*s. What is the highest common divisor of b and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431 divided by -2\nAnswer: 431\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2838*l - 14545. What is t(5)?\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+3376.386\nAnswer: 3376.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1715560 and 1232.\nAnswer: 3431120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 3, 931, -3, 1.\nAnswer: -4, -3, 0, 1, 3, 931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 30\/18 - (-4840)\/(-1470)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -253*f**4\/12 - 1935*f**2 - 107*f + 2. What is the first derivative of s(n) wrt n?\nAnswer: -506*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + c + 17*c. Solve 0 = 7*m - c*m - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 2*i - 2. Let a be (0 - (2 - -1))\/1. Determine v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (-1 - -10 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32690*x**5 + 84527*x?\nAnswer: -653800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2712 + 2710. Which is the closest to d? (a) -2 (b) -4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7665 + 6063 - 8478 = 480*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4 + q**3 - 2*q + q**2 - 3*q**2 - 3. Let z be b(3). Suppose -z*h - 26 + 122 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 2 + 6 + 3*a - 5*a**2 + 0*a**3. Let o(t) = -5*t**2 - 27*t - 6. Let j be o(-5). Determine y(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -373 + (30\/((-36)\/6) - -3). Let w = -7 - s. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 4*n**2 - n - 4. Let j be i(3). Let h be (27\/j - 1)\/(11\/22). Calculate the greatest common divisor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 + 5*z**2 + 8*z - 76 + 8*z**4 + 39 + 38 - 9*z**4 to the form b*z**4 + d + f*z**3 + w*z + v*z**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400*v - 9*v - 1321*v = -265*v + 34510 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-204)\/(-6) + 1 + 0. Let q(d) = d + 3. Let o be q(3). Suppose 0 = -o*z + 5*z + y. Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3456)*1 - (sqrt(24) - sqrt(120)\/sqrt(5)*2))\/(-1*(sqrt(8) - (sqrt(8) - (sqrt(8) - sqrt(56)\/sqrt(7)))*-2 - sqrt(8))))**2.\nAnswer: 507\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2 + 16. What is the remainder when 16 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -335*l - 1424*l - l**2 + 2*l**3 + 223*l - 699*l in the form z + i*l + s*l**2 + b*l**3 and give i.\nAnswer: -2235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -581327.7311 - -830?\nAnswer: -580497.7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4286 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 - 298343.98?\nAnswer: -298080.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002162330226 rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.485 in 60\/23, -1\/4, 2, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 4*j**2 - 3*j + 1. Let c be z(3). Let x = 47\/627 - 2\/19. Is c less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9.4 (b) 2.4 (c) -2\/17 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 15009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11*k*k\/(k*k*k**(-35))*k)\/((k*k*k\/k**(-1\/9)*k*k*k*k)\/k)**(1\/5) assuming k is positive.\nAnswer: k**(412\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 i when four letters picked without replacement from {i: 1, k: 1, l: 4, y: 2, t: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**6\/45 - v**5\/30 - v**4\/12 + 5*v**3\/2 - 27*v. Let p(u) be the second derivative of z(u). Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 322874018*c**2 - 725805*c - 36 wrt c?\nAnswer: 645748036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1172876001 - 1172876022.00000028. Let d = q + 21. Round d to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 + 512*i**3 - 4*i**2 + 11.\nAnswer: -120*i**3 + 3072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62798085*o**3 - 273954*o**2 + 119*o wrt o.\nAnswer: -376788510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + q**5 + 0*q**5 - 4*q - 1 - q**5 + 1 + 2*q**5 - 5*q**5 + q**5 + (3 + 1 - 3)*(q**5 + 0*q**5 - 2*q**5) - 3*q**5 - q**5 + 2*q**5 - q**5 - q**5 + 0*q**5.\nAnswer: -7*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 163042036 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 2394.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375 and 8595?\nAnswer: 214875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1107486, 4429935, 9967346, 17719719, 27687054, 39869351, 54266610?\nAnswer: 70878831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -89 (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 3*t = 2880. Let n = -227 - t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(2\/7)*h)\/h)**(2\/107) assuming h is positive.\nAnswer: h**(46\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 - 3 = 0. Suppose -l*j = 5*t - 36, -18 = 3*t + 4*j - 44. Calculate the highest common factor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555*v + 2176282 + 2408337 = 628*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-19248)\/(-14))\/(226\/9492)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5091795.8 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -241*m + 77 + 118*m + 80 + 395*m**2 + 123*m wrt m?\nAnswer: 790*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 191, 6\/11, 0.2, 8 in descending order.\nAnswer: 191, 8, 6\/11, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 871*o**5\/20 - 25*o**2\/2 - 2*o + 16. Differentiate g(j) with respect to j.\nAnswer: 2613*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 - 36 = 0. Suppose -176 = 9*f - b. Is f greater than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/9837102 and 17\/30?\nAnswer: 49185510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.7 - 16.79. Let n = -0.79 - k. Let p = 467 - 7937\/17. Which is the nearest to -1? (a) n (b) p (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27748 by -5.\nAnswer: -27748\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 424\/530*-10 + 87?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-18) + ((-244)\/(-9) - 27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*v + 9 = -869*v, -2*x = -3*v + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 472395178 to the nearest one million.\nAnswer: 472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 25.8. Let s = -0.8 - i. Let m = -0.2 - 0.3. Which is the smallest value? (a) 1 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 1, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 259 = 7. Let q(k) = k. Let w be q(4). Suppose -4*l + 2*u - 78 = -7*l, 0 = l + w*u - 16. Calculate the greatest common divisor of x and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 242387.96 from 0.3.\nAnswer: -242387.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 437579703 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -681 - -654. Sort -3, h, 1 in decreasing order.\nAnswer: 1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356479382 to the power of 1\/4, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.019, -0.1, 0.07, 20?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(27\/(-24))*1\/(-2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -77, 3, -1, -38, 138 in increasing order.\nAnswer: -77, -38, -3, -1, 3, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 68*o - 37. What is a(2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*t + 9*t**2 + 114*t - 2*t**3 to w*t**3 + n + l*t + j*t**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*1*-1*4)**2 + -5 + (sqrt(153))**2*4 + -5 + 3 + (sqrt(2057) - (sqrt(2057) + 1)).\nAnswer: 27804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1352455 - -9694.\nAnswer: -1342761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2659 or -2148?\nAnswer: -2659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 23*h - 24. Let i(q) = 2*q**2 + 11*q - 11. Let r(f) = -13*i(f) + 6*m(f). What is r(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3 - (-14)\/18 - 84196\/(-12222)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -694 less than or equal to -4995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-518)\/(-98) - (-2)\/(-7). Suppose -s - 293 - 67 = -j*b, b = 5*s + 72. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -520 divided by -52?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*q + 91*q = 18. Suppose 0 = q*v + v - 84. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451420*b**2 + 65628*b**2 - 266553*b**2.\nAnswer: -652345*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.09364216 to 4 decimal places.\nAnswer: 3.0936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56533344 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3. Let p(g) = 6*g**3 - 2*g**2 - 2*g + 2. Let k(h) = p(h) - 4*r(h). Factor k(v).\nAnswer: 2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 36*s - 6. Determine z(-12).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1156 + -1151. Let h be (2\/(-9))\/(2\/(-3)). What is the fourth smallest value in 0.4, h, -1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103150 - 1520?\nAnswer: -105110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 22 + 22 + 2*x**3 - 4*x)*(2*x**2 - x**2 + 0*x**2).\nAnswer: 2*x**5 - 3*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 8*a**3\/3 - 59. Let x(i) = -4*i**2. Determine h(x(q)).\nAnswer: 128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1)**(-7\/12) assuming t is positive.\nAnswer: t**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 16 + 106. Let x = 43 - w. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**3 + 32*x**2 + 384*x + 40. Determine c(-8).\nAnswer: 3624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4633 = 13*f. What is the highest common divisor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (-17 - -8) - 15\/(-3). Sort -5, 64, r in ascending order.\nAnswer: -5, r, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -32 - 10 - 28*g + 2*g**2 + 68 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37403 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 7. Let m be b(-5). Let h(s) = 4*s**2 + 4*s + 2. Let r be h(m). Calculate the highest common factor of 110 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -30*y**3 + 3*y**2 - 3*y + 4. Let s be r(-3). Suppose -2*o + 6*o - w - 842 = 0, -3*w + s = 4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2*(-40 - 6104\/(-140))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011001111001110111000 (base 2) in base 5?\nAnswer: 10400201314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -31*m**3\/6 + 5305*m. Let n(q) = 40*q**2. Give n(u(f)).\nAnswer: 38440*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1444632 (base 8) to base 15.\nAnswer: -82158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 + 60*p**2 + 32009*p\/6 + 47515.\nAnswer: (p + 10)*(p + 129)*(p + 221)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 11:08 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519558?\nAnswer: 2, 3, 13, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 159635, 319236, 478837, 638438, 798039?\n\"Answer: 159601*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 72.42984um?\nAnswer: 72429.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmam when four letters picked without replacement from {q: 2, m: 1, l: 1, u: 1, a: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/12 - j**2. Let g(z) be the third derivative of -z**5\/10 + 11*z**3\/3 + 5145*z**2. Determine g(c(p)).\nAnswer: -24*p**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*c - 103875 - 115575 = 0. List the prime factors of c.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(396) - (sqrt(396)*-1 - sqrt(396)))\/sqrt(11))\/(sqrt(1200) - (sqrt(1200) + sqrt(1200) + -1*sqrt(1200) + sqrt(1200))))**2.\nAnswer: 127\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 374186927 to the power of 1\/3, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 4*q**2 + q**2 + (-2*q - q + q)*(-7 + 2 + 2)*(-6*q + 6*q + 13*q) in the form f*q + o*q**2 + m and give o.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/248 and 19703\/2108 + (-14 - -5).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 29. Suppose -2*z + 18 = x. Solve -z - 2 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9042 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y + 2. Determine n(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -836, 52, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15167 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1591103480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((sqrt(98)\/sqrt(2))\/sqrt(7)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 2 - (3 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and 5.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**1)**(-14) assuming r is positive.\nAnswer: r**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.54 - 17.203. What is z rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 50 = j, -2*j = j - 3*y - 162. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 17*a**2 - 9*a - 17. Suppose -5*y = -2*b - 0*y + 41, -2*b + 34 = 2*y. Is u(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12079 and 3523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251 or -29?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3 + 578*d**2*z**2 - 74*d**2*z + 19833*d*z**2 + 2*d - z**2 wrt d.\nAnswer: 12*d + 1156*z**2 - 148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:35 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2. Let i(t) = 453851604*t**2. Calculate d(i(a)).\nAnswer: 205981278453372816*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 divided by -62?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -179? (a) 5 (b) -0.16 (c) -4 (d) -1\/9 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = -20 - 3. Are b and 8\/35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.56169 + 0.06169. What is the second smallest value in -4, -2\/11, o, 4, 0.13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 88, -5, 2 in ascending order.\nAnswer: -5, -2, 2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278133 is divided by 114?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1624*z**4 + 2*z**2 + z + 7365?\nAnswer: 19488*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**5 - 1598*q**2 + 16*q**5 + 1592*q**2 wrt q.\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g**3 + 0*g + 0 + 1\/672*g**8 - 10*g**2 + 1\/84*g**7 + 1\/80*g**6 + 0*g**4 - 3\/40*g**5. Factor u(b).\nAnswer: b**2*(b - 1)*(b + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-18)*(-15)\/40. Let p = -4.7 + 0.7. Which is the smallest value? (a) p (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 - 2)*(4 - 1 + 0)*(3 - 3 - 1)*(3 - 3 + 2)*(-31*r + 146*r - 45*r).\nAnswer: 3780*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25663, -205183, -692425, -1641241, -3205483, -5539003, -8795653?\nAnswer: -13129285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148*a**3*r + 1456*a**3 - 4*a*r + 57*a + 45*r + 11 wrt a?\nAnswer: 888*a*r + 8736*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 6. Let l be q(0). Suppose 0 = y + 3*p + 103, y - 2*p = -y - 198. Let u = y - -103. Solve 2*i - b + 8 = 0, 4*i = -0*i - u*b - l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (206*c + 673 - 673)*(-2 + 1 + 2) to the form y + t*c and give t.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 - 24 - x**3 + 24.\nAnswer: -x**3 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.199 - 17.101. Let t = u + -0.7. Let w = 17 + t. Which is the nearest to 0.1? (a) w (b) -1\/6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/42 + 5 + 4650\/42 is divided by (-310)\/(-8) + 4\/16.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + c - 20 = 12*f, 5*f + 25 = c. Let v(l) = 4*l**2 + 22*l + 9. What is v(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + -64670504698.\nAnswer: -64670504698.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 0*b = 3*q - 11, q = 5*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5725 = -5700 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100.6 + -75.3. Let t = w + 176. Which is the fourth smallest value? (a) -2\/9 (b) 0.4 (c) 40 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2784649*b**2 + 1392373*b**2 + 1395886*b**2.\nAnswer: 3610*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/6 - 3*q**3\/2 - 10*q**2 + 347*q. Calculate f(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 1 + 2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m - 714 = -46*m. Let o = 62 + -30. Suppose 4*h - o = -0. What is the smallest common multiple of m and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmz when three letters picked without replacement from {z: 2, e: 1, m: 4, r: 1, p: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + h. Let p(c) = 5*c**3 + 3*c**2 - 9*c - 4. Let k(q) = 5*b(q) + p(q). Let u be k(-4). What is u rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -4, 4\/7, -9\/17, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 47318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 2, s: 8, i: 1, y: 1, l: 6}. Give prob of sequence ly.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (8 - (-2 - -4) - (-244 - -275))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -15*m + 24. Which is smaller: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r - 9. Suppose 23 - 8 = r*o. Let p = 4.06 + -0.06. Which is the closest to 4\/3? (a) -4 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -17. Calculate the remainder when 86 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512028, -512029, -512030, -512031?\nAnswer: -512032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 143 in descending order.\nAnswer: 143, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 649, 1252, 1811, 2320, 2773?\nAnswer: 3164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2 = 2*r, 5*r + 10 = -5*j - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-36))\/(-14)*21\/14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 684314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68\/7? (a) -3 (b) 4 (c) -1 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612*w - 978 = -938*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 24*r + 117. Give u(7).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -3 + 7 + (-6 - -11) + 31?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8.2740861 minutes?\nAnswer: 0.000820841875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49402.\nAnswer: 2, 17, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224597 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1*3)\/((-19575)\/(-7250))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + u + 5*u - 19 - u.\nAnswer: 2*u - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*b - 39, -2*m + 5*b + 156 = -6*m. What is m rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 5, 3, 212.\nAnswer: 3, 5, 116, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 3*w - 129 + 139, -19 = l - 4*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 30 = -0*w + 5*w, 2*w - 2*f = 2. Let d be (-3)\/w - 168\/(-32). Calculate the greatest common factor of d and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**3\/6 + p**2 + 2*p. What is the remainder when j(-7) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcowwcw. What is prob of sequence cww?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.213 + 0.213. What is the closest to 0.6 in u, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 18*u = -15441. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1797423 divided by 48579.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k**2 + 44*k**2 + 6 - 5*k**2 - 19*k**2 - 5*k. Let w(t) = 10*t**2 - 6*t + 7. What is -5*c(r) + 4*w(r)?\nAnswer: -10*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (8 - 11)) + -9 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q + 4509. Let i(v) = 37*v - 13547. Give 17*c(z) + 6*i(z).\nAnswer: z - 4629","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*w - 33*w - 258*w.\nAnswer: -597*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 1934*m\/3 - 3860.\nAnswer: -2*(m + 6)*(m + 2895)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 66508, 66508, 66498, 66472, 66424?\n\"Answer: -m**3 + m**2 + 4*m + 66504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*m + 3412 = 369*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 12*v - 2. Let w(r) = 2*r**2 + 13*r - 2. Determine 3*s(c) - 4*w(c).\nAnswer: c**2 - 16*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -2\/3, -29\/2091, 61, -5?\nAnswer: -29\/2091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 9601867?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(300) + 0)*-6 - (sqrt(300) + sqrt(300) + sqrt(300)*-1 + 5 + sqrt(300) + (0 + sqrt(300))*-4)**2) + -1.\nAnswer: -1226 + 440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 130265612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 9*y = 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149620748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -y - 3*a, 0 = 12*y - a + 3640 - 3681 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000 (base 6) in base 15?\nAnswer: 2b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + c + 424 = 0. Calculate the remainder when 211 is divided by c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/77*5\/1*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52384 divided by 4.\nAnswer: 13096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 6 - m**4 - 3270448*m**2 + 8*m**3 + 3270455*m**2 - 1 as l + w*m**2 + g*m + f*m**3 + k*m**4 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 5*d + 34. Let c(g) = 5*g**2 - 6*g + 33. What is 5*c(i) - 6*q(i)?\nAnswer: i**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -797993 and -0.05.\nAnswer: 39899.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1356*z**4 + 11*z**2 + 4*z**3 + 11*z**2 - 1355*z**4 + 60*z**2 as k*z + g*z**4 + c*z**3 + u*z**2 + o and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 2*x - 2. Let q be 1\/1 + (-2)\/(-2). Suppose 26 - q = 4*d. Let a be u(d). What is a rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2828)\/6)\/((-12)\/(-18)) - (4 + 1). Which is bigger: y or -713?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 - 0.6. Let n = x - 1.2. Let a = -1 - n. What is the closest to 1\/3 in a, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)\/(2\/54). Suppose n = m + 10. Calculate the remainder when m is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = -10. Suppose -g = w - 71, -q = 5*w - 1. Let a = 76 - g. Solve 2*d = -2*r - 2, -4 = a*d - 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2328332067 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 818, 2913, 6398, 11267, 17514?\n\"Answer: -x**3 + 701*x**2 - x + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 396820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 take away 17.63?\nAnswer: 450.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 23 = -3*u, 8 = 4*u + 4*s - 36. Let a be 1\/u + (-1 - (-41)\/6). Solve 0 = -a*r + 10*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {b: 2, z: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188234 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**6 + 582*x**4 + x**2 + 22 wrt x?\nAnswer: -240*x**3 + 13968*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - -0.01. Let l be ((-3)\/(-8))\/(3\/4). Put x, -2\/9, l in decreasing order.\nAnswer: l, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-13)*30\/45?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 69 + -75 - (-40)\/6. Let y(o) be the second derivative of -u*o**3 + 4*o + 0*o**2 + 1\/30*o**6 - 1\/4*o**5 + 0 + 2\/3*o**4. Factor y(t).\nAnswer: t*(t - 2)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from leeeeeeeeeeeeee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**3 - 44*v + 5*v**2 + 44*v wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105978, -211923, -317826, -423669, -529434, -635103, -740658?\nAnswer: -846081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1557*g**2 - 62*g - 513. List the prime factors of a(-7).\nAnswer: 2, 53, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.5 (c) 0.3 (d) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 + 63*k**2 - 712*k + 8. Let x(l) = -4*l**3 + 54*l**2 - 710*l + 7. Calculate 7*x(m) - 6*z(m).\nAnswer: 2*m**3 - 698*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/120066 and 181\/30.\nAnswer: 600330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 18*h - 5. Calculate r(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -11*h**4\/24 + 82*h**3\/3 + 2*h**2 - 898. Determine c(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 820 + -819. Solve -y = -2*l + 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(sqrt(121) - (2*sqrt(121) + sqrt(121))))\/((sqrt(704)*-2 - sqrt(11)) + sqrt(11) + sqrt(44)\/(sqrt(20)\/sqrt(5) + sqrt(4))).\nAnswer: 16*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311538000 rounded to the nearest 1000000?\nAnswer: -1312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 15*n = 9. Suppose 215 = 2*f + n*d, 2*d + 5 = 3. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/88)\/(1\/22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6249*q**3 - 3250*q**2 + 3250*q**2 + 820*q**3 - 3*q + 2*q.\nAnswer: 7069*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517673 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1264 * -0.4\nAnswer: 0.05056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(14))\/sqrt(2) + sqrt(70)\/(sqrt(10)*-3))*3 + 1 + ((sqrt(2268) + 0)*6)**2.\nAnswer: -7*sqrt(7) + 81649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, q: 7}. Give prob of sequence aq.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 59, 0, -228\/43 in decreasing order.\nAnswer: 59, 1, 0, -3, -228\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*b - 29919 = -54*b - 5*x, -4*x + 37392 = 5*b. What are the prime factors of b?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19805.\nAnswer: 5, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 - 2*y. Let z be w(0). Suppose u = 1 - z. Let n be 0 + u - (15 + -20). What is the highest common divisor of 15 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-775 - -953) + 4 + -131.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 9*m**2 + 14*m + 10. Let y be (-14)\/8*(-12)\/(-3). Let g be i(y). Solve -z + n = -4*n + g, 0 = -n + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 26, 13, -16, -67, -146?\n\"Answer: -r**3 + r**2 + r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.03, -1, 2 in decreasing order.\nAnswer: 2, 0.03, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545421 (base 6) in base 9?\nAnswer: 312124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -142622\nAnswer: -4136038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3520*l**2 - 2 + 3620*l + 3590*l - 7212*l as h + k*l + q*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*y + 3*f, -3*y + 3*f = y - 49. Suppose 84 - 129 = 9*t. Let l be -2 - 29\/t - 42\/(-210). Solve l = 3*u + y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -92*g + 514. Determine v(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:46 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39023156.\nAnswer: 2, 79, 123491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3003 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.3 (c) 4\/3 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400788 and 400788?\nAnswer: 400788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c - 8. Let y be n(6). Suppose 3*r = 2*r + y. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -6.2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bebbebhheeebehhe. What is prob of sequence bhhb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -17 + (148 - -8 - 110).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 7:04 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90480 and 1660685?\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42\/11? (a) -4 (b) 1\/3 (c) 0.1 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -251*z + 1111. List the prime factors of r(-77).\nAnswer: 2, 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 9)\/(-4)*-1. Let k(w) = -w**2 + 2*w - 4. What is k(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 12. Let o be s(9). Let d(j) = j**2 + 5*j - 4. Let v be d(-6). Solve 2*r**3 + 0*r**v - 5*r**o + r**3 + 2*r**2 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3488587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -22*1 - (-2 + 2). Let n = -13 - j. Suppose n = 2*w - 1. Solve -w*d + 3*d - 2*h - 4 = 0, 2*h = -5*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 2*n)*(5 - 1 + 7 + (3 - 1 + 0)*(-4 + 6 + 0)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyyy when four letters picked without replacement from yzkzyozyzzy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.117735 + -99.803265. Let d = v - -100. What is d rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 69 and -758.\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.7. Let k = 0 - f. Let r = -82577 + 82575. Which is the biggest value? (a) 0.2 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168161303 is divided by 335?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70705 (base 14) to base 15.\nAnswer: 55144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251523 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**2. Let b(o) be the third derivative of o**5\/60 + o**2. Suppose -43*p + 42*p - 28 = 0. Let g be -5 + (-63)\/p + (-5)\/4. What is g*b(l) - w(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 204\/357*63.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:53 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11658 and 3297.\nAnswer: 12812142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-13)*(m**(-11)\/m)\/m*(m**(3\/4)*m)**13)**13)**(30\/13) assuming m is positive.\nAnswer: m**(-195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266648161 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 9*s**2 - 10*s. Let u be b(10). Let y be -2 - -3 - 7*-4. Suppose k - 113 + y = u. What is the highest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 53*p - 228. Let f be t(45). Suppose -f*v + 13270 = -122*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -57*o**3 + 6*o**2 - o - 45. Let y(i) = -58*i**3 + 5*i**2 - i - 43. Let h(v) = -5*x(v) + 6*y(v). Find the second derivative of h(l) wrt l.\nAnswer: -378*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -967*g**3 + 8*g**2 + 6*g - 1. Does 15 divide l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.2. What is the second biggest value in q, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1285663 and 10385.\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by 4.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 30 - 30)*(-3*h + 2*h + 3*h) + 7*h**2 - 36*h**2 - 8*h**2 to the form q*h + s*h**2 + u and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 538055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 202064689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = w + 5*l + 19, 84*w - 2*l = -2*w - 106 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -13\/69223?\nAnswer: -13\/69223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 16 + -7 + 2. Let q(x) = -5*x**2 + 7*x - 5. Let c(u) = u**2 - u + 1. What is t*c(h) + q(h)?\nAnswer: h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 14. What is the remainder when 106 + -30 - s\/2*1 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/2, 18\/5, -0.5, 2\/3, -3734, -1, 0.3?\nAnswer: -3734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -647 - -650. What is the third smallest value in -5, -1\/12, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -116, -278, -440, -602, -764, -926?\n\"Answer: -162*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(891)*-3 + sqrt(891) - (sqrt(891) - 1*sqrt(891))*-5)**2 + -1 + (1*sqrt(891) + -1)*3.\nAnswer: 63*sqrt(11) + 3561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.3 - -22.89. What is s rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -171, -290, -413, -540, -671, -806, -945?\n\"Answer: -2*x**2 - 113*x - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963 + 963 = 13601*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v*v**(-4)*v)\/v)\/v)\/v**(-5))**(2\/49)\/((v**(1\/3))**(-17)\/(((v\/v**(-2))\/v)\/v**(2\/5))) assuming v is positive.\nAnswer: v**(5401\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*d - 147*d**2 - 198*d**2 + 13*d**2 - 81*d.\nAnswer: -332*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - -1.2. Let k = t - 4.06. Let r = -0.060118 - k. Round r to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, p: 2, o: 6, f: 1, x: 4}. Give prob of picking 1 p, 1 f, and 1 d.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(8\/3) - (-2 + -8). Suppose -f*h + 21*h = 2688. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44975 and 66?\nAnswer: 2968350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -0.5, -2.77?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-49)\/42 - -2)*(1 - (-3)\/(-30)). Let w = -1 - -3. Which is the closest to w? (a) -2 (b) n (c) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 53*u**4 + 96*u**4 - 16*u**4 + 31*u**2 - 2*u**3 wrt u.\nAnswer: 3192*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 7*z**2 - 7*z + 22. Let v be m(-5). Solve -v*w = -5*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19 - -19) + (21 - 1). Sort 2, 3, n in increasing order.\nAnswer: 2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-1)\/((-45)\/(-18)*-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2043*m**3*q**2 + 4*m**3 - 10492*q**2 wrt m.\nAnswer: -6129*m**2*q**2 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - ((-1 - -7) + (-2 - 0)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/z*z)**(17\/5)*z**(1\/4)\/(z\/(z*z\/((z**(-7)*z)\/z))) assuming z is positive.\nAnswer: z**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 597642\nAnswer: -1\/597642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58438.\nAnswer: 2, 61, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 475*k + 196 + 337*k.\nAnswer: -138*k + 265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 104801 - -1076.8\nAnswer: 105877.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 14 - 9 - 5)*(75*p**4 + 117*p**4 - 270*p**4).\nAnswer: 1716*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 4*q - 4. Let v(w) = 88 - w - 131 + 44. Suppose 2*n - 3*n = -4. Give n*v(i) + d(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11833, 47331, 106495, 189325?\nAnswer: 295821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 4, -5, 11699 in decreasing order.\nAnswer: 11699, 9, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - 3 + 3)*(-1 + 1 - d) - 2156*d**4 + 2156*d**4 + 1335*d**5 + 2*d**5 + d**5 - 2*d**5 + (d - 2*d**2 - d)*(2*d**3 - 3*d**3 + 2*d**3).\nAnswer: 1336*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0.01 (c) -0.01 (d) 0.7902 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -28. Sort 12, -3, o, 4 in descending order.\nAnswer: 12, 4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/136 and -29\/48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4198138527.\nAnswer: 3, 11, 127216319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 25, -2*w - 39 = -3*w + 5*r. What is the remainder when 27 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48951385?\nAnswer: 5, 7, 1398611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) 2 (c) -1\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 1092?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.8 and 38.81.\nAnswer: -186.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -162.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**8\/336 + t**4\/12 + 3*t**2\/2 - 1. Let u(s) be the second derivative of y(s). What is the second derivative of u(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 347.98 - 354. Let v = q - -7.02. What is the fourth biggest value in v, 5, -1\/10, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -166991.\nAnswer: 4\/166991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2 + 336*j - 14112 = 0.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39808, 79627, 119438, 159241, 199036, 238823?\n\"Answer: -4*b**2 + 39831*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n. Let d be (-8)\/(-28) + 495\/7. Let i(a) = d*a - 35*a - 38*a. Calculate i(k(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 13*w)*(-4 + 3 + 0)*(35*w + 50*w - 118*w).\nAnswer: 429*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + 4*p + 0*p)*(1016 + 213*p - 1016) in the form j + d*p + k*p**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -11. Let p(v) = 2 - 1 + 4 - 5*v + i*v**2. Let c(f) = 4*f**2 - 3*f + 3. Let q(d) = 5*c(d) - 3*p(d). Let l(j) = -3*j. What is q(l(x))?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3811270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 24, 56, -0.23, 4 in ascending order.\nAnswer: -2\/7, -0.23, 4, 24, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 = 8*s - 2*w, -s = -w - 1. What are the prime factors of (s - (-3)\/(-4))*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**2*m**2 - 34*a**2 + 5*a*m**2 - 48*a*m - m**2 wrt a.\nAnswer: 22*m**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 17*r**2 - r + 19. Let x be m(17). Let u = -3.6 + 2.1. Let n = u - 3.5. Which is the second smallest value? (a) -3\/2 (b) x (c) n (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 457323 and 173?\nAnswer: 457150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from iusup?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**3 - 3 + 6*r**2 + 6*r - 4*r**3 + 2*r**3. Let a be ((-87)\/3)\/(-5 - -6). Let o = 24 + a. Determine c(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -193 - 211. List the prime factors of d.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 976, -28, -12, -1 in increasing order.\nAnswer: -28, -12, -1, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1212, 1327, 1644, 2265, 3292, 4827, 6972, 9829?\n\"Answer: 17*n**3 - n**2 - n + 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 3*a + 0*a + 2*a**2 - a**3 + 2 + 0 to u*a**2 + l + j*a + v*a**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*r - 17, 23*r - 2*i = 20*r. Suppose 0 = f + 3*f - m - 9, -5*m - 27 = -2*f. What is the highest common factor of r and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.7609354ms?\nAnswer: 0.00004601559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i - 44394 - 40235 + 344389 = 0. What is the highest common divisor of i and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 62 = 18*w. Suppose 4 = -b, -3*i + 2*b = -2*b - w. Let f be 2\/6 + (-22)\/(-6). Solve -i*m - 3*r - 2 - 15 = 0, -5*m = f*r + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20339, 46596, 78769, 116858, 160863, 210784, 266621?\n\"Answer: 2958*q**2 + 17383*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Calculate the common denominator of 2012\/80 + d\/(-5) and -1\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 676.5028 millennia?\nAnswer: 6765.028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = -15*t - 10. Let l = 0 + t. Let u(a) = 3*a**2 - 4*a + 3. Let f be u(2). Solve -f*s = -3*w - 3*s + 5, -3*s = -l*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 10 + 1 - 1 - 13*q as a*q + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) - -1*sqrt(84))*6 - sqrt(84)) + 1*sqrt(84)*-4 + sqrt(84))\/(-4*sqrt(48) + 4*sqrt(108)))**2 + -4.\nAnswer: 1511\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -997*k**5\/20 - 29*k**3 + 42*k + 3. What is the second derivative of l(u) wrt u?\nAnswer: -5982*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**(-14)\/x)\/x*x)\/x)\/(x**8\/x))\/((x\/x**(-1)*x)\/(x\/(x\/((x\/(x**(10\/7)*x))\/x))*x)))**(-5\/13) assuming x is positive.\nAnswer: x**(960\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 27*b\/4.\nAnswer: 3*b*(b - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 140559, 281096, 421633, 562170, 702707?\n\"Answer: 140537*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -236 - -226 - (3 + 10 + (-5 - -8))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265.77 - -276.54. Is m at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/20 and 143\/2664?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 - 21*w - 2. Determine q(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c. Let g = 8 - 11. Let j be (-1)\/g - 8\/6. Let q be h(j). Solve 0 = 4*w - w - q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.55 - -0.35. Which is smaller: b or 23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10231 (base 5) to base 3\nAnswer: 221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 329771843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 + 281. Let x be 3\/((81\/36)\/3 + 0). Calculate the greatest common divisor of r and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {b: 2, t: 10, i: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -298 and 0.093.\nAnswer: -297.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -7) + 2 + -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101+-20957272094\nAnswer: -20957271993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, 0.5, -0.06 in descending order.\nAnswer: 7\/3, 0.5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -62 - (1 + 2 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-29)\/t)**(5\/13)\/(t\/(t**(-2\/183)\/t)*t**26) assuming t is positive.\nAnswer: t**(-94088\/2379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**4 + 3*c**3 + c**2 - c**4 - 2*c**4 + c**4 to m*c**4 + k*c**2 + a + u*c**3 + j*c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u\/(u*u\/(u\/(u\/(u**(13\/2)\/u))*u)*u)*u))*u**16 assuming u is positive.\nAnswer: u**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 + 111011110100?\nAnswer: 111101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/7, 1\/3, -0.1, -6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 0, -5*a + 7*a + 5*u + 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20\/11 + -78\/55. What is the third smallest value in p, 1\/6, 2\/63, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23759.\nAnswer: 23, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109315 + 39715. Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-32))\/(2\/(-8)). Which is the second smallest value? (a) f (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*s**2 + 182*s**2 + 79*s**2 - 92*s**2.\nAnswer: 305*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, c: 7}. Give prob of sequence ccpc.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3641.477mm in kilometers?\nAnswer: 0.003641477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/2052*9*((-876)\/(-8))\/(-1).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001599 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7*j - 17 = 5*j, -3*b + 5*j = 15. Calculate the remainder when 2184 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2 - 0)*-2. Let a be (-138)\/(-38) + q - 2. Let t = a + -46\/133. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9*i + 8*i = 0, -2*i = 0. Factor -4\/3*h**4 + 0*h + 2\/3*h**3 + u + 0*h**2 + 2\/3*h**5.\nAnswer: 2*h**3*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 447*l*v**2 + 5*l*v + 228*l - 118*v**2 + 2*v + 2 wrt v.\nAnswer: 894*l - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18180 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7577940 - -1.\nAnswer: 7577941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/161393 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y - 13*y + 19*y**2 - 3*y**2 - 44*y + 32*y.\nAnswer: 16*y**2 - 43*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 3*w)*(w + 0*w + 2*w) - 135817*w + 135817*w - 1116*w**2.\nAnswer: -1122*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -207256 (base 9) to base 5\nAnswer: -12422124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -566 + 1?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:22 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2*r**2 + 2*m**2*r - 8*m**2 - m*r + 242*r**5 - 142*r**3 - 365 wrt r?\nAnswer: -4*m**2 + 4840*r**3 - 852*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffqqqfqq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -73, -1405 in decreasing order.\nAnswer: 1, -73, -1405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 510713 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 8. Suppose 0*q - a*q = -475. Suppose 14610 - 14612 = -w - 3*f, -4*f - 12 = 0. Calculate the remainder when q is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17180466 divided by -3.\nAnswer: 5726822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 2. Let a be m(-4). Let s be 3 + 2\/a + 8. Calculate the highest common divisor of s and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 60. Suppose 7 = -k + 13. Sort h, 0, k, 4 in descending order.\nAnswer: k, 4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/(-15))\/(6*(-14)\/1291710)?\nAnswer: 2, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 3. Suppose 3*a = -0*a + 84. Suppose -4*g - 8 = -3*g + 4*p, g - a = 5*p. What is the remainder when g is divided by n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/7)*d\/(d\/(d\/(d*d**(-6)\/d*d)*d))*(d\/((d\/(d*((d**(1\/2)*d)\/d)\/d))\/d)*d)**(2\/75)*((d*d\/d**9)\/d**(1\/3))**43 assuming d is positive.\nAnswer: d**(-32398\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*v + 46 = 3*s, 0 = 4*s + 4*v - 32. Let h = 28 - s. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30 - (3 + -2)*-2. Let n be 1*(-24 + (-511)\/(-21) - 1247\/(-3)). What is the highest common factor of s and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 29*s + 4. Let a be ((-12)\/(1 - -2))\/(-2). Calculate the remainder when z(a) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0, -4, -10 in decreasing order.\nAnswer: 4, 0, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*258\/(-18) + 3 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1707, 1727, 1783, 1893, 2075, 2347, 2727?\nAnswer: 3233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, r: 5, o: 12}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 9 + 0*d)*(-d**4 - 4*d**4 + 6*d**4)*(-68 - 36 - 379).\nAnswer: 966*d**5 - 4347*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -358*j**3*k - 14460965*j**3 + 15755*j*k wrt k.\nAnswer: -358*j**3 + 15755*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10863 in 0.3, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 53989?\nAnswer: 53992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of -2 - (-2481 + 6\/(-6)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95534407 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5406 - -0.8406. Suppose 0 = x + 2*x. What is the second biggest value in 3, -5, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4040680357 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from zuzxuztdudnx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 9 + 9 + 0*n + 2*n + 0*n + 0 - 2*n + 0 + (1 - 2 + 0)*(1 + n - 1))*(-4*n**2 + n**2 - 2*n**2).\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -26*h**2 + 2341*h - 13. What is f(90)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.78171um to millimeters.\nAnswer: 0.03178171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 9*r**2 + 2*r - 5*r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110620857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518936 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o + 25. Let r = -3 - o. Let j be (-6)\/r + (-548)\/(-16). Solve 0 = -4*n + n - 5*a - j, 5*n = -3*a - 37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:41 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -49*o - 635. Let i be y(-13). Solve -p**4 + p**i + 0 - 1\/2*p**3 + 1\/2*p**5 + 0*p = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195 - -13367876.9\nAnswer: 13368071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 1. Calculate g(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 6138\/(-756))*(-321)\/(-6955)?\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 459 = -7*h + 19*h + 8*h + 5*v, v = -5*h + 85 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (136\/5)\/(-9*(-12)\/1080)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(15\/2)*p\/(p*p**(-26\/5))*(p**(-22))**(-42))**29 assuming p is positive.\nAnswer: p**(271643\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 - 1)*(-4 - 4 - 33) + (6 - 1 - 3)*(-3 + 1 + 4) + 1 - 4 + 1)*(3*z - 7 + 7 - 2*z**3).\nAnswer: -414*z**3 + 621*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 5. Let w be m(13). Calculate the greatest common factor of w and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 5. Let n be i(6). Suppose 0 = -4*o - c - n, -c = -o + 3*c. Let x = o - -59. What is the remainder when x is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 13 = 2*v, -12*p = -3*v - 10*p + 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r + 22. Let g be w(0). Suppose 0 = -o + g - 3. Suppose -o = 2*s + 5*z + 2, 3*s = 5*z + 31. Solve s = -b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/480 + (-10)\/(-80).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4389\nAnswer: -1\/4389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.3 (c) -1\/8 (d) -0.3 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 - 1605.0292?\nAnswer: -1477.0292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 1376656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 705*s - 526*s.\nAnswer: 179*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3\/5 - 276*i**2\/5 - 514*i\/5 + 816 = 0.\nAnswer: -136, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 1)*(4*c**2 - 2*c**2 + 0*c**2) + 0*c**2 + 4*c**2 - 6*c**2)*(925*c - 2288*c + 1106*c) + (c**2 - 3*c + 3*c)*(-4*c + 0 + 0).\nAnswer: -518*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 20. What is the remainder when 38 + (35\/14 - 6\/(-12)) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 6. Suppose -5*u - n*t + 166 = 27, -4*t = 2*u - 50. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-5))\/((-10)\/75)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b + 2. Let n be j(-1). Let a(i) = 12*i - 43. Let c be a(n). Let k = -87 - c. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + 4*(sqrt(117) + sqrt(117) + sqrt(117) + -2*sqrt(117) - sqrt(117))))\/sqrt(9) - (sqrt(1573) + 5*(sqrt(1573) + -5)).\nAnswer: -66*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010111001111101011 (base 2) to base 6.\nAnswer: 212411335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11984 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 3. Let b be l(3). Let i(t) be the second derivative of t**4\/12 - t**3\/6 + 7*t**2\/2 - 4*t. What is the units digit of i(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 222*l**6 - 15*l**4 + 3300*l**3 + 561*l**2 - 4943.\nAnswer: 26640*l**3 - 360*l + 19800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(0*k**2 - 3*k**2 + 2*k**2 + (4*k + k - 3*k)*(3*k - k - 4*k)) in the form g + o*k + c*k**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 22 = k, -k - 2*x = -668 + 676 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331387228?\nAnswer: 2, 89, 930863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - m + 2*m - 3*m**3 + 2*m**2. Let v be x(2). Calculate the highest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 32 = 40 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 11) to base 5.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(4 + (-52)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14407 is divided by 272.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2993 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-19\/5)\/(t\/(t**10*t)) assuming t is positive.\nAnswer: t**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 - 0.29. Which is the closest to 0? (a) 1\/11 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**9\/68040 - n**8\/2520 + n**7\/252 - 55*n**4\/6 - 2*n + 46. Let y(v) be the third derivative of c(v). Factor y(p).\nAnswer: -2*p**2*(p - 3)*(p + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29529 and 341469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1*(-3)\/2. Suppose v = -t*v + 12. What is the nearest to 1 in 0.3, v, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 137816 - 14?\nAnswer: 137802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2216*g - 2218*g - 3851 - 2811 - 5986)*(0 + 2 + 0) to the form w*g + u and give u.\nAnswer: -25296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0050863 to 5 dps.\nAnswer: -0.00509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 f, and 1 q when four letters picked without replacement from {q: 1, f: 2, x: 1, g: 1, z: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -15*y - 4\/9*y**3 + 16 + 4\/3*y**2 + 1\/18*y**4. Let k(i) be the first derivative of p(i). Factor k(c).\nAnswer: 2*(c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 4\/9, -1, 15189, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 10 - (-15 + 23)) + -15 - -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(3 + (-186)\/63). Suppose 3*y = -2*y + j. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5077 = 821*z + 670 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 553 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3737*w**3 - 10 + 3720*w**3 + 10.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5209*p**3 - 4*p + 5*p + 190 + 5210*p**3 + (2 - 2 - p)*(-5 + 1 + 3)*(0*p - p + 2*p)*(p + 0*p + 3*p).\nAnswer: 5*p**3 + p + 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -4 (c) -889\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -95*t**3 + 650*t**2 + 935*t - 1560. Let y(b) = 86*b - 8*b**3 - 81 - 49 - 2*b**3 + 54*b**2 - 8*b + 2*b**3. Let u(g) = 3*a(g) - 35*y(g). Factor u(r).\nAnswer: -5*(r - 13)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/8*((-35)\/150)\/7*-2.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 4*k - 3*k + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 180*h - 21 + 237 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122228 - 30795. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610098 times 54?\nAnswer: -32945292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5808262089 to the nearest integer?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - p = 4, -4*p + 0 - 16 = 2*m. What is the nearest to -2 in 4, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 11*r**2 + 15*r - 24. Let l be m(10). Differentiate l*j**4 + 2*j - 24*j**4 - 72 + 40*j**4 wrt j.\nAnswer: 168*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1472 + 8863\/6. Calculate the common denominator of p and (-47)\/3*3\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0623512288 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 234*w**2 + w + 6. Let z(q) = 233*q**2 - q + 7. Let l(s) = 6*t(s) - 5*z(s). What is the second derivative of l(g) wrt g?\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -946 - -948. What is the third smallest value in x, 0.28, -2, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1018*o**4*s + 2*o**3*s + 2*o**2*s + 24289*s wrt o.\nAnswer: -24432*o*s + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) 0.836 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1634 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15142, -30626, -46794, -63994, -82574, -102882, -125266, -150074?\nAnswer: -177654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387181 is divided by 1588?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1520)\/152*(-140)\/(-50).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 55 - 49 = -15*s. What is the remainder when 502 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5 - -7)*6. Suppose y*h - 18 = 9*h. Let t(f) = -f**3 + 8*f**2 - 11*f - 13. Give t(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 4*u. Solve u = -y - 14 + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -2012?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from kokifkhhofko.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p = -20. Let g = -4 - 3. Let k = g + 37. Calculate the highest common factor of p and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 29 + 29)*(4 - 4 - 1)*(-2*c - 1 + 1).\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1235026 (base 8) to base 14.\nAnswer: 8cb9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -53. Let m = l + -28. Which is the closest to 7? (a) m (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*63\/(-24192)*24\/(-10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 17952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s + 11. Let w(o) = 4*o - 10. Let i(f) = -2*j(f) - 3*w(f). Let a be i(4). Let v = a + 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - sqrt(612)*-2) + -4 + -1 + (sqrt(612) + 3*(1 + sqrt(612) + sqrt(612)))*2)**2.\nAnswer: 204*sqrt(17) + 176869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1*2 - 52\/(-13) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6969*o**4 + o**2 + 12*o + 74 wrt o.\nAnswer: -167256*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -1620*s**4 - 3735*s**3 + 69940*s**2 - 30460*s + 3360 = 0.\nAnswer: -8, 2\/9, 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -279. Suppose -3*c + 199 = 3*s - b, -2*s - 288 = -2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 121368.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-14*300\/(-420))*342\/21\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 253\/2465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 47. Let g = 47 - y. Suppose 0 = -4*a + 5*i + 8, g = -a - 4*i + 2. Calculate the highest common factor of a and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21919 + -6772958\/309. Let q = s + -9811\/618. Find the common denominator of q and 44\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**27\/l))\/(l\/(l**13\/l)*l*l))\/(l**20\/((l*l**(-28)\/l)\/l)) assuming l is positive.\nAnswer: l**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 4 = -14*h. Suppose 0 = -h*a - 93 - 83. Let m = -40 - a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24814\/7 - 146945\/42. Suppose 1\/6*z**4 - 130*z + k*z**2 + 338\/3 - 5*z**3 = 0. Calculate z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i - 53. Let a be o(5). Solve 5 = d, 3*d = a*u + 13 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 4*u - 1. Let r(n) = n**3 - 24*n**2 + 127*n + 23. Let w be r(16). Let p = 2 + 0. Suppose p*o = w*o - 15. Give d(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.16, 1.7, 3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111110101001111100 - -101?\nAnswer: 101001111110101010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -62. Suppose s*j - 910 = 6*j. Let o = -117 + j. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 18. What is the remainder when o is divided by 18\/4 - (-3)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -115, 2\/9, -2.\nAnswer: -115, -9, -2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31320 (base 4) in base 13?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4*(-216)\/(-90). Suppose 8*a + x*a = 672. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511, 3704, 12393, 29326, 57251, 98916, 157069, 234458?\nAnswer: 333831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -3*c**4\/28 - 499*c**3\/7 - 8901*c**2\/14 - 13311*c\/7 + 6415. Factor o(b).\nAnswer: -3*(b + 3)**2*(b + 493)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hch when three letters picked without replacement from {c: 2, t: 2, z: 3, m: 2, h: 4, b: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -16654 bigger than -16654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1676*g + 480*g + 18607 - 3515 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**3 - 609*c**2 + 18483*c + 3721 = 0?\nAnswer: -1\/5, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70399 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 452884 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*3\/2*14\/21. Let f(h) = -h**3 + 4*h**2 + 4*h + 7. What is f(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - -1*(2 + -8). Let f(l) be the second derivative of 1\/11*l**2 - 1\/33*l**b - 1\/66*l**4 + 1\/110*l**5 + 0 + 5*l. What is i in f(i) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 266.2.\nAnswer: -265.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -796*b**5 + 412*b**2 - 18. Let n(o) = -o**5 - o**2 - 6. Let l(r) = -c(r) + 3*n(r). What is the third derivative of l(k) wrt k?\nAnswer: 47580*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/4 - 5*m**3\/4 + m**2\/2 + 2*m = 0. What is m?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 7*i - 4*d - 7, -4 = -5*i - 2*d. Solve 4*z = i - 22, -5*u = -2*z + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17\/5 (b) -3 (c) -1\/13 (d) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1001001111110111011000 (base 2) to base 7\nAnswer: 26414605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**8\/4032 - t**7\/252 - t**6\/48 - 13*t**5\/60 + 15*t**2. Let n(s) be the third derivative of w(s). Factor n(z).\nAnswer: -5*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255021 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/3 - 2*k**2 - 30*k. Let y(g) = 2*g**2. Give y(o(j)).\nAnswer: 32*j**4 - 64*j**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + 16b2?\nAnswer: 16a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-24)*-3)\/(((-138)\/144)\/23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxxppvvvxx. What is prob of sequence pv?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-42) + 4\/12\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -13*r + 6. Let x be r\/4 + 133\/14 - 0. Let p(z) = 21*z**2 - 13*z**2 - x*z**2. Let q(i) = -3*i**2. What is q(p(u))?\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*j + 20. Let z(v) be the first derivative of 1 - j*v**2 + 11*v**2 + 6*v**2. Let q(c) = 5*c**2. Determine q(z(m)).\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.3 + -26. Let y = 5.73796 - 0.43216. Let u = k - y. What is u rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p - 46*p - 87 = 0. Put 4, -0.22, p in increasing order.\nAnswer: -0.22, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**2\/2 - 1. Let b be c(-4). Suppose -2*m + 0 = 2. Sort b, 4, m in decreasing order.\nAnswer: 4, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5.4. Let b = -0.8559 + 0.1559. What is the fourth biggest value in u, 1, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1404, -2813, -4222, -5631, -7040?\nAnswer: -8449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -525*g - 78274. Calculate c(-149).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(140) + sqrt(140))\/sqrt(4))\/sqrt(252).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4958020.\nAnswer: 2, 5, 247901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 3*f + l, -9 = 4*f - 5*l. Let o(q) = -55*q + 1. What is the tens digit of o(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3\/6 - 3*c**2 + 4*c. Let t be d(-8). Solve 0*h + 4 = t*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700350160 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 429 + 241. Find the first derivative of 20 - 10*b**4 - 670*b**3 + g*b**3 wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6584 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y + 3*y**3 - 12*y**4 + 3*y**3 - 6*y**3 wrt y.\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p + 1692 = 0. Let t = p - -1748\/3. Calculate the common denominator of 50\/3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 35, 5 in descending order.\nAnswer: 35, 31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 201241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/6 + (-400)\/150?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780.1315918 rounded to 2 dps?\nAnswer: 780.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - b**2 + b. What is o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 12 (b) -0.2 (c) 1\/4 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34647 divided by 3.\nAnswer: -11549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.0857683 rounded to two decimal places?\nAnswer: -181.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108403122 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)*2*1)\/((sqrt(15) + sqrt(15)*2 - sqrt(15))\/sqrt(5)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a factor of 20591068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518027 - 518027 - 1170*h**3.\nAnswer: -1170*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let s(h) = 4 + 2*h + 6 + 3*h**3 - 11 - h**2. Let v be s(1). Solve -3*k = -q*k - v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - c = 1256, -1953*c + 1955*c = -5*a + 3158. What is the least common multiple of a and 45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82301, 164594, 246887, 329180?\nAnswer: 411473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 1. Let k be j(5). Suppose -52 - 2 = -6*x. What is the tens digit of 29 + x*k\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2448) + sqrt(2448) + sqrt(2448)*-1)**2 - sqrt(17)).\nAnswer: -sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 8. Let d be ((-16)\/5)\/((-25)\/375). Suppose 8*w = -0*w - d. Determine o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -408 + 405. Let q = 8 + -12. Let u = 2 + -2. Which is the third biggest value? (a) q (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -45*j - 115 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 14. Let x be y(12). Find the third derivative of -3*w**4 + 8*w**2 + 3*w**4 - 14*w**5 + w**x wrt w.\nAnswer: -840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (-6 - 208\/(-14)) + (-2)\/(-14). Solve 15 = 3*a, q*a - 76 + 78 = -2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + (-2862)\/(-45). Let x = w + -7. Let r(o) = 3*o**2 + o + 1. Calculate the remainder when x is divided by r(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 21. Let w(m) = 3*m. What is w(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 36 (c) 2 (d) 218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -20*f - 143. Let z(t) = -10*t - 71. Let g(x) = 2*s(x) - 5*z(x). Does 42 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/216862 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(847))**2.\nAnswer: 132*sqrt(7) + 2553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*q + 107 = 24*q - 1513 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 9, 18, 23, 24, 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -7*l**4\/2 - 127*l**3\/6 - 40*l**2 - 19*l. Let z(s) = s. Give h(z(r)).\nAnswer: -84*r - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 - 5*f - 31. Let q be b(-7). Solve q*o - 25 = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 2:54 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 34, -2001 in decreasing order.\nAnswer: 34, -1, -2001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1438, 1428, 1430, 1444?\n\"Answer: 6*q**2 - 28*q + 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 4 (b) 0.3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 398867 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 4*d - 11. Is b(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 4. Let v(y) = -3. Let n(z) = 2*q(z) - 3*v(z). Let t be n(-1). Let k be (t - -1) + 0 + 0. Do -1 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m**2 + 3*m - 5 + 4*m**2 - 3 + m**3. Let p be n(6). Let r be (-288)\/(-20) - 4\/p. What is the highest common divisor of r and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11449214 less than 37956?\nAnswer: 11487170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 3, 12, -2\/17, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, -91, -403, -1007, -1999?\nAnswer: -3475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 194. Let d = 162 + p. Suppose 60*y - d*y + 140 = 0. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 385\/(36\/126 - 52\/(-14)). Let r = y - 96. Find n, given that -1\/4*n**3 - 3\/4*n + 3\/4*n**2 + r = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -107, -159, -211?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**3 + 5678*v**2 + 30807*v = 0.\nAnswer: -27\/5, 0, 1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, 3, 6, -74, -10.\nAnswer: -74, -10, 0, 3, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j - 1. Let g(r) = 6*r**2 - 3*r + 4. Let b(t) = -g(t) + 5*w(t). Let l(i) = -i**3 - 31*i**2 - 57*i + 32. Let m be l(-29). Calculate b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 8*c + 5. Let y be k(8). Let v = 13 - y. What is the remainder when 30 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*h + 440*h - 163242 = -581*h - 1900*h for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:34 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24201984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 827 + -821. Let r be 1\/(-4) + 27\/12. Let f(l) = l**3 - 2*l**2 + 3*l + 2. Let a be f(r). Solve a*k = o*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - 56 + 383 = -718. Which is bigger: -44 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*l + 986, 0*z + 4*z + 482 = l. Let j = l + -273. What are the prime factors of j?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.7392 - -16.7465. Let p = -8 + s. Round p to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 12*o. Let l be t(11). Solve -5*a + 3*m + l = 0, -5*a - 2*m - m + 29 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 6*h + 8. Let n be s(-7). Suppose -n = y - 11. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56186.28 to the nearest 100.\nAnswer: -56200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251.432 - -251. Let n = 0.402 + z. Let u = -5.8 + 0.8. Sort -0.2, n, 3\/2, u in decreasing order.\nAnswer: 3\/2, n, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565758.2 rounded to the nearest ten thousand?\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)\/(f*f\/f**(-9))*f**(-1\/10)\/f*f**(-2\/35)\/f assuming f is positive.\nAnswer: f**(-1691\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2544150 - -63?\nAnswer: -2544076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -248, -252, -256, -260, -264?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 4*q + 2. Let a be i(-4). Suppose -a*u - 3*l - 5 = 0, -2*u + l + 13 = -2*l. Is 4 a factor of u\/(6\/33) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5615 - 5612. Put 4, z, 2, -1, -5 in increasing order.\nAnswer: -5, -1, 2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -3\/4, 22, -1\/2, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1722 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -c - 17, 3*c + 270 - 255 = 0. Sort -1, n, -2, -6, 5.\nAnswer: -6, -2, -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 4:19 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = -2. Let o be (0 + 2 - r) + 2. Suppose -5*i = 4*a - 25, -a + 15 = -i + 4*i. Put -3, i, o in decreasing order.\nAnswer: i, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 9, 8, -1 in decreasing order.\nAnswer: 9, 8, 4, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 + 89822*k**2 + 1008543870*k + 1008454050 = 0 for k.\nAnswer: -22455, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -315131432479 and 0.387?\nAnswer: 315131432479.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -102*v - 824. Calculate d(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 1711.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85008 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: Is 128560327 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -4\/5 (c) -0.5 (d) -24857 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1331)*-5 + -4 + -4*(sqrt(1331) + sqrt(1331) + sqrt(1331) + 2 - sqrt(1331)))*4)**2.\nAnswer: 878592*sqrt(11) + 57621248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 14 (c) 1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyyyyyyoy. What is prob of picking 1 o and 3 y?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -c - 1527, 0 = 3*m - 8*m + 4*c - 1542. Let y = -106 - m. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189.0000444 + -189. Round x to six dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 13027443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 6*h = -7*h. Let y(q) be the first derivative of 1\/4*q**2 + 3 + h*q - 1\/6*q**3. Solve y(f) = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19673204 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:39 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3321, -3370, -3421, -3474, -3529, -3586, -3645?\nAnswer: -3706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7 = -0*h. Let i be 30\/(-70) + (-3)\/h. Find w, given that -w**2 + i - 1\/2*w**3 - 1\/2*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -811 - -2435\/3. Suppose -4\/3 + 2\/3*b - t*b**4 - 2\/3*b**3 + 2*b**2 = 0. Calculate b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-35))\/(3\/(-2)). Is -2\/3 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147351389?\nAnswer: 147351389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 + 2*f + 3. Let p be u(-3). Is 8\/p - -2 - 484\/(-33) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d**2 + 0*d + 0*d**2)*(4*d**2 + d**2 + 0*d**2)*(-2*d - 3*d + 2*d).\nAnswer: 15*d**5 - 30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -17009689.883?\nAnswer: -17009685.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4631252.2 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/21832 and 5\/256526?\nAnswer: 1026104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1824 and 34345.\nAnswer: 62645280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-19 - (-8 - 4)) + 34)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -x + 25, -12*g + 8*g - 33 = -x. What is the remainder when 258 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-24)\/63))\/((-15)\/40).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) 0 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2451245898?\nAnswer: 2, 3, 19, 21502157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1023\/27 - 33) + -8.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 1\/2 (c) -108 (d) 5\/26 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 12. Suppose 16 = 2*s + u - 0, p = 2*s - 2*u - 10. Let j be (s - 1) + -2 + -1. Solve 6*w = j*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-470)\/(1\/4 - (-27)\/(-12)). Let g = l + -211. What is the least common multiple of 12 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/12 and 99\/8164.\nAnswer: 24492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -592135371*u**2 + 417985728*u wrt u.\nAnswer: -1184270742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 2*h. Let c be 3\/((-14)\/4 - -2). Let l be i(c). Let q = l - -28. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7480 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 3*d**2\/2 + 2*d - 2\/3.\nAnswer: (d - 2)**2*(2*d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 25*r - 115 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -268180 < -268185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence niil when four letters picked without replacement from {l: 1, i: 13, n: 5, m: 1}?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5242 is divided by 128?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.2 + 17. Let t = 26.046 + -0.046. Let x = -26.4 + t. Sort 0.3, x, n in descending order.\nAnswer: 0.3, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1. Let u(i) = 3*i**3 - 3*i**2 - 4. Let f = -7 - -3. Let s(y) = f*x(y) + u(y). What is the third derivative of s(o) wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = -60*v - 35*v - 358 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 14*j = 64. Suppose n + j*m = 5*m + 7, 3*n + 3*m = 39. Suppose -330 = -35*z + 30*z. Calculate the remainder when z is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + -3 - 5 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66015 is divided by 2192.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -464*y**4 + 465*y**4 - y**3 - y + 4 - 2 to the form j + h*y + u*y**3 + q*y**2 + v*y**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + -3*((sqrt(17) + 0)*-5 + sqrt(17))))**2 + 5*((-2*sqrt(119))\/sqrt(7) - (sqrt(17) - sqrt(204)\/(sqrt(48)\/sqrt(4)))**2).\nAnswer: -658*sqrt(17) + 22113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 4*u - 16. What is the units digit of m(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n + 0*n - n)*(-2*n**2 + 0*n**2 + 0*n**2) - 4*n**3 + n**3 + n**3.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 61222 - 17698 = 0. Is r a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = 275. Suppose -3*y = -3*i + 1143, 2*i + 4*y - 792 = -6. What is the greatest common factor of x and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31828*r**4 + 13*r**2 - 7511*r - 6?\nAnswer: -381936*r**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/32 and -11\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10135 + 70943\/7. What is the third smallest value in -1\/3, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110746 (base 8) to base 2\nAnswer: 1001001000111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11151*a**3*l**3 + 12*a**3*l**2 - 600*a*l**3 + 4253652*l**2 wrt l.\nAnswer: -66906*a**3 - 3600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p - 5. Let u(i) = 3*i**3 - i**2 - 2*i - 1. Let h be u(-1). Let o be s(h). Let a = -28 - o. Let r(l) = l**2 + 7*l + 7. What is r(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1645, 2 in increasing order.\nAnswer: -1645, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*u = 59, 51 = 93*b - 90*b - 4*u for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-24))\/(2\/(-32)*174)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d - 3. Let p be u(0). Is (-30)\/((-9)\/p)*(-3396)\/24 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 23 + 89\/(-4). Factor -27\/4*s**3 + 0*s - 3*s**2 - 9\/2*s**4 - q*s**5 + 0.\nAnswer: -3*s**2*(s + 1)**2*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = 29*q - 40 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7126, -7125, -7118, -7105, -7086?\n\"Answer: 3*r**2 - 8*r - 7121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 0*l**3 + l + 4 - 3*l**3 - 3. Let y be g(-1). List the prime factors of -6 + (y - 1) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 * 49\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**3 + 2*j**2 - 6*j - 12. Is r(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -49\/391 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + q + 0)*(2 + 4 - 2) + (-9 + 9 + 9*q)*(-2 + 4 - 4) as c*q + p and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1148 divided by -574.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95, -193, -77, 361, 1229, 2635?\n\"Answer: 18*m**3 - m**2 - 221*m + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 + 44*c**2 + 0*c**2 - 12*c**2 + 13*c**2.\nAnswer: 53*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*y = y - 18, 26 = 5*s - 4*y. Suppose -5*p = 3*t - 15, s*p + 7 + 3 = 2*t. Is (p\/(-3) - 1)*-4317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375184 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 2*x - 0*x. Let q = x - -91. Calculate the remainder when 109 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5715766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 1980*m**2 + 798984*m - 68969232.\nAnswer: -2*(m - 162)**2*(m + 1314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523 = 18*y - 132 + 133. Solve 2*j + 35 = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 6648 + 2073. Let m = -202 + f. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 10*w = 7*w + 4, 3*m = -2*w + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*g - 162, g - 2*g = 2*r + 147. Let s = r + 77. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1483300 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6061 + -5795. What is the least common multiple of 20 and t?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (19 + (186 - 180) + (-2 - -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 - 1\/6*l**3 + 200*l - 1\/4*l**4 + 1\/20*l**5 + 3\/2*l**2. Solve f(w) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -164913, -329825, -494737, -659649, -824561?\n\"Answer: -164912*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (13 - (11 + -8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1549.8624 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 182 = -2*v, -4*n + 2*v = -3*v - 373. What is the highest common divisor of 46 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 10*s - 11. Let y(z) = 2*z**2 - 10*z + 12. Let v(c) = -3*q(c) - 4*y(c). What is the units digit of v(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 178*j**2 + 6*j + 6. Let d be f(-3). Round d to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -5*r**3\/6 - 5*r**2\/4 - 8. Factor x(p).\nAnswer: -5*p*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t**3 - 1\/2*t**6 + 11*t**2 + 0*t - 5 - 1\/24*t**4 + 1\/2*t**5. What is the third derivative of r(s) wrt s?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-62)\/(-18))\/(504\/4536)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -474, -950, -1462, -2022, -2642?\nAnswer: -3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-9) + 2\/6. Let r be 568\/(l + 6) + -4. Let b = r + -54. Do 83 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + b = -19, 3*i - 10 = 2*b - 0. Suppose 2*m + 3*z = 16, 4*m + 3*z = m + 21. What is the second derivative of g**m + i*g**3 - 2*g - 4*g**3 wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + i - 6 = 3*i, 0 = -j - i + 4. Suppose -3*l + j*y = -427, -16 = -3*y - y. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775345?\nAnswer: 5, 155069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, w: 3, x: 8}. Give prob of sequence xqqx.\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -219*r**3 + 16206*r**2 - r - 496. Determine y(74).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 13. Let z be v(13). Suppose 9*x - 2*x = -z*x. Let w be -2*(-1)\/(-4)*(x + -4). Solve -a - w + 6 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 127\/5 (c) -16\/9 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (53 + (-2)\/1)*3. Suppose -r = -4*w + 127. Calculate the greatest common divisor of 28 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*p - 2*p**2 - 160*p - 6 - p**3 + 3*p**3 + 74*p in the form g*p + l + u*p**2 + x*p**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993835379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/12*(-12)\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - -2.2. Which is the smallest value? (a) z (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 6:52 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3476\/3160)\/((-22)\/(-5))*32\/4. Find q such that -2\/9*q**5 + 4\/9*q**u + 0*q + 0 + 2\/9*q**3 - 4\/9*q**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 175 = 3*j - 193, -5*j + 5*l = -590. Calculate the greatest common factor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**(16\/3)*(g*(g\/(g\/g**(1\/4)))\/g)**47 assuming g is positive.\nAnswer: g**(397\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 + 0 = 2*m, 13 = 5*r - m. Solve -3*i + r*v - 7 = 0, -3*v = -2 + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1900, -3655, -5262, -6721, -8032, -9195?\nAnswer: -10210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b**2. Let r(w) be the first derivative of 0*w + 1\/3*w**3 - 2 + 0*w**2. Calculate n(r(j)).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -70. Calculate the lowest common multiple of t and 20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137294 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 the thousands digit of 1543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -69.\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -14*l**3 + 4*l**2 + 7*l - 66. Let x(g) = -28*g**3 + 7*g**2 + 13*g - 130. Let r(c) = -7*k(c) + 4*x(c). Differentiate r(u) with respect to u.\nAnswer: -42*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4635 + 4633. Let j = -1 - -2. What is the third smallest value in j, 5, t, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7678482 or 6?\nAnswer: -7678482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -66*s**2 - 7*s - 5. Let t(m) = -58*m**2 - 6*m - 4. Let y(d) = 6*t(d) - 5*u(d). Give y(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/7)*n*n\/(n\/(n*n**(5\/4)\/n)))\/(n*n**6*n**6*n*n))\/(n**1*n*n*n*n\/((n*n**7\/n)\/n)*(n**3\/n)\/n*n**7) assuming n is positive.\nAnswer: n**(-517\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 194 + 14 = 10*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/16)\/(16\/((-640)\/30))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 - 1)*(4 - 4 + q)*(-1136 + 334 + 172).\nAnswer: 5040*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -4 - (-8)\/3. Let z = -19 + 19. Are w and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*g = -17, -1864 + 1848 = 4*p - 2*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/360 + 5*n**5\/36 - n**4\/72 - 25*n**3\/18 - 4*n**2 - 131*n. Factor g(c).\nAnswer: (c - 1)*(c + 1)*(c + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25279109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:55 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (7 - 135\/9) - (-68)\/(-20). Suppose -2\/5*h**4 + 8\/5*h + 0 + 2\/5*h**2 - g*h**3 = 0. What is h?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15869 = -14*s - 1029. Calculate the greatest common factor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383631472 a multiple of 2564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(x + x - 4*x)*(-5 + 5 - x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186830 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-20) - (-62)\/10. Find the third derivative of 13*j**2 - j**6 - 52*j**5 - 688*j + 686*j + 0*j**t wrt j.\nAnswer: -120*j**3 - 3120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/4*(-18)\/(-15). Suppose -4*f - t = -97. Solve j = n, -f = -5*n + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107061700321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 52832?\nAnswer: 52832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683244418.\nAnswer: 2, 191, 1039, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -242*n + 292*n - 100 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*j + 107. Let t = -13 - j. Suppose -t = -2*m + 1. Solve -4*v = -3*v - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -364336 + 13116211\/36. What is the common denominator of -1 + 0 - (-247)\/120 and z?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7278, -29154, -65614, -116658, -182286?\n\"Answer: -7292*h**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 40*g**2 + 75*g + 70. Let f be q(38). Suppose f*i = 13*i + 5092. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1, 5.59, 2390?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 10630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)\/(s**0\/s)*s*s**(-3\/2)*s**1 assuming s is positive.\nAnswer: sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4572 and 12174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(3*-2*sqrt(153) - 6*((sqrt(153)*2 - sqrt(153) - sqrt(153)) + sqrt(153))))\/(2*sqrt(18)\/sqrt(2) + (-4*sqrt(144) + sqrt(144) - sqrt(144))).\nAnswer: 1 + 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 10. Let o be (10\/6)\/(8\/48). Let r = 14 + o. Calculate the greatest common factor of r and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2371 + 13290*t + 7114 - 2372 - 2371 to the form l*t + b and give l.\nAnswer: 13290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1583182458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20191, 37688, 55183, 72676, 90167, 107656, 125143?\nAnswer: 142628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -61. Sort -5, -3, j, -2 in descending order.\nAnswer: j, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -70, -5, -66, 514 in decreasing order.\nAnswer: 514, 12, -4, -5, -66, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5 + -3 + sqrt(704))*-4)*3.\nAnswer: -96*sqrt(11) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 5*d + 5. Let c(q) = -3*q**2 - q**2 + 20 + 16*q - 4. Let h(s) = 2*c(s) - 7*j(s). Let u(a) = -4 - 1 + 6 + a. Determine 2*h(v) + 6*u(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3281 - (1 + (-15)\/(-5)).\nAnswer: 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 3*s + 5. Suppose -231*a + 187*a = 308. Determine i(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 7*v = -38. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 48 + j - 2*j - 295 - 223.\nAnswer: 2*j**3 - j - 566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1851 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 162239?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 28415, 8, 0.1 in descending order.\nAnswer: 28415, 8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 18*o**2 - 34*o - 28. What are the prime factors of l(8)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2953.\nAnswer: -2953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/(12\/((-12)\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**5\/300 - j**4\/12 - 5*j**3\/6 - 2*j**2 - 30. Let r(l) be the second derivative of c(l). Factor r(i).\nAnswer: -(i + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = 2*q, -j = 5*q - 18 + 13. Suppose d = -3*m + 57, -d - 12 + 15 = q. Solve m = -y - 8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 1:49 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8082618 to the nearest integer?\nAnswer: 2843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544968*g**4 - 113354388*g**3 - 226051057*g**2\/2 - 216212*g - 207\/2 = 0. What is g?\nAnswer: -207, -1, -1\/1044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2*o. Let g(w) = w**2 - w. Let h(j) = 2*g(j) - x(j). Let n(d) = -3*d - 180*d**2 + 115*d**2 + 90*d**2 + 3*d. Determine h(n(q)).\nAnswer: 625*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10225086?\nAnswer: 2, 3, 1704181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112*g**5 - 6*g**4 + 3*g**2 - 13755*g wrt g.\nAnswer: -2240*g**3 - 72*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 + 216. Suppose 5*d + 4*h = 79, 0*d + 4*h + 41 = z*d. Solve -3*g + 15 = 0, 4*c + g = -0*c - d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 12. Let o(p) = -2*p**2 - 7*p + 9. Let v be o(-4). Suppose 6 + 59 = v*k. What is the units digit of g(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2132405 by -11.\nAnswer: 193855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {h: 5, u: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -10.6861?\nAnswer: -4.27444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/10 - (-1)\/(-2). Suppose 4*k + 5*o = i + 34, -2*o = -k - 4. Solve -d + k = -h, -5*d - 2 = -7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (3 - 7))\/(1\/212627). Let j = b + -149254. Suppose 0*r - r = j. What is r rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Let s be d + 0 + -1 - -5. Factor 8*h + 9*h**4 - 6*h**3 - 24*h**s + 28*h**2 + 20*h**3.\nAnswer: -h*(h - 2)*(3*h + 2)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 21*w - 12*w. Differentiate 10*d + 9*d - w*d - 10 - 15*d**3 - 20 with respect to d.\nAnswer: -45*d**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 2*n - n + (-7 - 21 + 6)*(2*n - 4*n + n) to the form u*n + s and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 2*n + 0*n)*(0*n**3 - 3*n**3 + 2*n**3) - 70*n**2 + 81*n**2 + 3*n**4 - 2*n**4 as z*n + r*n**3 + y*n**4 + h*n**2 + x and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + (sqrt(176)*-1 - sqrt(176)))*2 - ((sqrt(11) - sqrt(33)\/sqrt(3)) + 1)*2)**2.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 111\/(-12) + 11 - 1\/(-4). Is 60 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 12 - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 + u - 15. Let d(g) = -2*g**2 - 8. Let p(q) = 11*d(q) - 6*j(q). What are the prime factors of p(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 72, 79, 50, -27, -164?\n\"Answer: -2*r**3 + 45*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222.4 + 223.4. What is the closest to q in 0.4, 5, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -1, -2\/19, 19968?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 938995957 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - -4) - -4 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1331 - -1711. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14573 (base 11) to base 4\nAnswer: 11002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1177690 divided by -58\nAnswer: 20305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + 93. Sort -3, 5, -2\/3, a in decreasing order.\nAnswer: 5, a, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, -3793 in decreasing order.\nAnswer: 1\/3, 0.2, -3793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:32 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kky. What is prob of sequence yk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5231*d**3 + 2*d**2 - d - 3. Let k be g(-3). Let z = k + -63367. Let j = z + -36888. What is j rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*q + 6417 = -3473 + 1538. Suppose m = 6*m - 5*o - 310, -5*o - 70 = -m. What is the highest common divisor of q and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-11 + 9)*3\/(-9). Let s = 1.9 - 2. Sort s, d, 5 in ascending order.\nAnswer: s, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19795 - -22982. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/143320 and 7\/13758720?\nAnswer: 13758720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2824 and 882500?\nAnswer: 1765000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p = 48*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 - 105*j**4 - 650*j**3.\nAnswer: 5*j**3*(j - 26)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from jhjfutq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 10*z + 13*z)*(-2*z**3 - z**3 + 0*z**3)*(-5 + 5 - 10*z).\nAnswer: 810*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 15) + 8 - (-4 + 0 + -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4879298, 19517138, 43913528, 78068462, 121981934?\nAnswer: 175653938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**2 - 1 + 32*s - 32*s - 91*s**2.\nAnswer: -30*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -0.5409899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 76 = h + 3*h, -3*o - 5*h = -33. Let z be 3\/(-2)*o\/(-24) - -1. Let i(x) = x + 13. Let l be i(7). Solve -z*g - 2*g + l = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 12*f**2 - 28*f - 29. Let w = 342 - 334. Let p be o(w). Let 1\/7*h**p + 0*h + 0*h**2 + 0 + 2\/7*h**4 + 1\/7*h**5 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1052859)\/(-12) - (-303)\/404 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*g + 1046, 5*q - 264 - 384 = -3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1219*z**3 + 15*z - 1242*z**3 + 91*z**2 - 93*z**2 + 28*z as s*z**3 + w*z + c*z**2 + l and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**3 - 5*c**2 - 3*c + 3. Let a(b) = -b**2 - b + 6. Let x be a(-3). Suppose -5*k + 93 - 103 = x. Is 7 a factor of f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/3 + 181*r\/3 + 570 = 0.\nAnswer: -9, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 18. Let u = 6 + 24. Let p = u + -19. Let t be k(p). Put t, -3, -5 in ascending order.\nAnswer: -5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -84, -81, -76, -69?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/16 and -52\/289.\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4*w + 92*k**3 + 2*k**2*w + 14*w wrt k.\nAnswer: 24*k*w + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341.4144 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.968 - 0.032. Sort 0, -0.4, n, 0.2 in ascending order.\nAnswer: n, -0.4, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 205.3 (b) 0.06 (c) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42834 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 101, 265, -13, 5 in decreasing order.\nAnswer: 265, 101, 5, 3, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3316 or -16579\/5?\nAnswer: -16579\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 896036 to the power of 1\/2, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42706667?\nAnswer: 619, 68993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2501 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (8 + -3 + -2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 + 7*a**2 - 4*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4582 and 6380?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + 1. Let r(p) = -9*p - 3. Suppose -2*k - 3 = -4*h + 7, -2*h + 4 = -2*k. Give h*r(g) + 8*z(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 23*l**2 + 15*l + 91. Calculate b(22).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) - 42\/(-15). Let x be 4 - (8 + -2)\/c. Solve 0 = -x*m - u + 4, 3*m - 8 = -3*u + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3 + 6. Let k(l) = l + 3*l - l. Give w(k(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593299.\nAnswer: 1593299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - 8) + 1)*5\/30.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let l = -5.2 - 15.8. Let k = -27 - l. Let j = 0.1 - -0.2. Put k, j, -0.3 in ascending order.\nAnswer: k, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20441795 or -20441796?\nAnswer: -20441795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*l**3 - 259*l**3 - 253*l**3 + 4*l - 256*l**3.\nAnswer: -3*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcp when three letters picked without replacement from cpgix?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (44\/132)\/(1\/78 + 0) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 20*o - 726. What is j(-38)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.028?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 30*d = -58. Which is smaller: -31 or d?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 42. Does 8 divide i\/((-21)\/9 + (-4)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*u - 45*u = 2*u + 795 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 124455257?\nAnswer: 124455260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-51)\/(-3)*-47*(-2 + 3). Let t = -263 - c. What are the prime factors of t?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i**2 + 2*i - 3. Let p be l(3). What is the first derivative of -1 + 2 + 3*k**p - 2 wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/9540 and 94\/113685?\nAnswer: 1364220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/(sqrt(10) + 3*sqrt(10)) + (-3*sqrt(2160) - sqrt(2160)))\/(sqrt(768) + -4*(sqrt(768) + 2*sqrt(768) + sqrt(768))))**2.\nAnswer: 36481\/184320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l**4\/4 - 2*l**3\/3 - 5*l**2\/2 - 1309. Factor k(a).\nAnswer: a*(a + 1)*(3*a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -1.9.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let y = -121 - -127. Calculate s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235654967281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4991 + 17261 = -4*l, 2*q - 4908 = -l. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5*i - 5)*(-6 + 6 - 3*i) + 0*i**2 + 3*i**2 - i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 832 - 38e4?\nAnswer: -30b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = 26*n + 288 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + ((-236)\/413 - (-39)\/7). Solve -4*r + 12 = -5*r + 4*n, 2*r - 15 = -k*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 2*p**3\/51 - 860*p**2\/17 + 369800*p\/17 + 854. Find g such that m(g) = 0.\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + 2.93. Let k = 35 + -38.5. Let j = -3.4 - k. Sort -0.2, l, j.\nAnswer: -0.2, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82771, -82978, -83185, -83392, -83599, -83806?\n\"Answer: -207*g - 82564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 1\/6*y**3 - 3\/8*y**4 - y + 5 + 3\/4*y**2 + 1\/10*y**5. Suppose h(f) = 0. Calculate f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + a - a)*(12*a + 2180 + a**2 + 15*a - 2200) in the form b*a**2 + c + p*a + m*a**4 + i*a**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 14*g**2 + 629*g - 59. Give b(33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 1:43 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 5*n**2 + 4 - 3*n**2 + 2*n. Let p be c(6). What is the remainder when 14 is divided by (48\/p)\/(3\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -4*d - d. 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 derivative of 40*t**4 - 43471*t**2 + 642982 wrt t?\nAnswer: 160*t**3 - 86942*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23\/51818 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -142.686 and 228.9?\nAnswer: -32660.8254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4212)\/612 + 4 - (-1 - 0)*3.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 10*f**2 + 20*f + 35. Give c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 5*f + 7. Let g(q) = q**3 + 2*q - 3. Determine -14*g(c) - 6*k(c).\nAnswer: -8*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64397, 124404, 184411, 244418?\n\"Answer: 60007*v + 4390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-5 + -2) - -1. Let u be (-1)\/h - 2\/12. Suppose -q - 68 = -5*q + 4*w, u = -5*w - 25. What is the greatest common divisor of q and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + (1668 - 1703)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {k: 4, m: 2, j: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let k = q - -1.2. Let r be -3 - 64\/(-12) - 2. Is k at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -1, 5 in increasing order.\nAnswer: -1, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.344 + -2.4. Let p = 69.056 + x. Let m = -68.9 + p. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 22*g + 7*g + (-6*g + 2*g + 3*g)*(3 + 0 - 2) + 4 - 4 - 2*g + 4 - 4 - g)*(-5 - 5 + 4).\nAnswer: 126*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*v - 16 = 0, 5*q - 3*v + 4*v - 28 = 0. Solve -q = 3*w + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248082328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068749 to 3 dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/17? (a) -184 (b) 2\/3 (c) -1\/19 (d) -0.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77)*-1*3 - sqrt(77)))\/(sqrt(112)*1).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 + 42\/264. What is the closest to 0.1 in -2, t, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o*o*o*o*o**(-2\/19)*o*o*o*o*o)\/o))\/o)\/o*o**14*((o**(1\/18)\/o*o)\/o)\/(o\/o**(-2\/17)) assuming o is positive.\nAnswer: o**(11879\/5814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1637\/380 + 25\/38. Let l = 997 + -4037\/4. What is the common denominator of o and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 400351112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 378379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 5)*(g - 2*g + 6*g) + (-2*g + 0 + 0)*(-6 + 1 + 3) - 3*g - 2*g + 3*g + 2*g - 4*g + g + g - 1 + 1 + (-3 - 1 + 2)*(5 - 5 + 2*g).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 2*x**7\/105 - x**6\/30 - 23*x**5\/15 - 13*x**4\/2 - 12*x**3 - 44*x**2. Factor g(z).\nAnswer: 4*(z - 6)*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -29.8. Let t = w - 0.2. Let h be (0 + (-3)\/(-15))*(-25)\/10. What is the second biggest value in h, t, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*w**2 - 73*w**2 + 3 + 6 wrt w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 9, 1\/8, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358191 is divided by 995?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) -0.03 (c) -2\/11 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 126562.5 centuries?\nAnswer: 1265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*j**2 - 142*j**2 + 420*j**2 - 141*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from zzs.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.5*-8.089.\nAnswer: -343.7825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42507.\nAnswer: 3, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -9 - (1 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*h - 9 - 819. Let k = -8 + h. Calculate the greatest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6384668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-105)\/14 - (10 - (-2 + 6)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 1)\/(1 - 0). Suppose 3 + l = -m. Let r(d) = 7*d + 6. Let y(t) = -7 - 7*t - 2*t + t. Calculate m*y(s) - 7*r(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.816614 years to decades.\nAnswer: 0.6816614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 + 29*m**3 + m**3 + 2*m**3.\nAnswer: 38*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 651391141*k**4 - 356850196*k wrt k?\nAnswer: 7816693692*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.2 + -30.5. Which is the nearest to 0.2? (a) -1\/7 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(15\/6) - 123\/(-41).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**2 - 23 + 18*f**3 - 14*f**2 + 11*f**2 wrt f.\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12844717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -2*y**3\/3 - y**2 + y. Let j(r) = -r**3 - 5*r**2 - 4*r. Let s be j(-3). Is k(s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 27*u**2 + 58*u + 3. Let m be s(29). Let a be ((-2)\/(-4))\/((-1)\/(-12)). Let f(v) = 7*v**2 + v**3 + 0*v**m + v - a*v**2. Give f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -130201 + -5c?\nAnswer: -13025d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.6 + 32.599002. What is f rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*v - 17595 = -257*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/44 + 171\/33. Suppose 23 = l*z - 7. Let o(s) = s**2 + 3*s - 19. List the prime factors of o(z).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*48\/(-6). Suppose 4*a - 672 = -c*a. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 17*n**7\/7 - 110*n**3\/3 - 241. What is the third derivative of d(f) wrt f?\nAnswer: 2040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:28 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 224.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/42*(-2)\/(-4)*-6. Sort 5, y, -5, -3 in decreasing order.\nAnswer: 5, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -16. Let w be (-2)\/(-8)*q*-2. Suppose -w - 11 = 4*l, 200 = 4*f - 4*l. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -312.2 (b) -1148 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.93, -2, -0.01457?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083660432 is divided by 611.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00894 to 4 dps.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + (sqrt(28) + 3*(sqrt(28)*-1 + sqrt(28)))\/(sqrt(4) + 2*sqrt(144)))*1 + 0.\nAnswer: sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6139408 divided by -16.\nAnswer: 383713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3798095 is divided by 1899016?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2192964 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 16, s: 1}. What is prob of sequence bsb?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38824 - 6075. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*y, -55*y + 56*y - 3 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.005 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 3*l - 33 - 32, 8*t - 7*l + 2 = -4*l + 87 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 137733.9766.\nAnswer: -137731.9766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:04 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.02 (c) -1 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/2*750\/1750?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*m + 17. Sort 13, -4, -2, m.\nAnswer: -4, m, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -243*x**2 + 2*x. Let v(t) = 111*t + 2. What is n(v(z))?\nAnswer: -2994003*z**2 - 107670*z - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 2 + l - 4*l + 4*l)*(-2444 - 54*l + 2444).\nAnswer: 108*l**3 - 54*l**2 + 108*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/288)\/(2\/4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -351\/877?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*z - 2. Let b = 6 + z. Solve 2*y + 2*c = 16, 1 = 3*y - y - b*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 42\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 48 - (-140 + 231)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0903 and 1.\nAnswer: 0.0903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1529117 + -3.\nAnswer: -1529120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -3718.\nAnswer: -3717.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 1 - 9. Let y be -2 - (n + 1 - -4). Let g(p) = 412*p**2 + 4227 - 411*p**2 + 5*p - 4229. What is g(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Is 819977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 1) + 3 + 5 - 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/19 (b) -0.2 (c) -7 (d) 4.232 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21023102131 + 1111?\nAnswer: 21023103302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l. Let t(s) be the first derivative of -s**3 + 57. Calculate t(x(b)).\nAnswer: -192*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8849, -17736, -26633, -35546, -44481?\nAnswer: -53444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 11 - 181173*b**3 + b**2 + 11 + 181577*b**3.\nAnswer: 404*b**3 + b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 15*g + 17*g = 6, 5*o - 22 = 2*g. Suppose 4 + 2 = 2*n. Solve -5*y - 16 = n*s, -o - 4 = y + 3*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1751 and 248608.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/3)\/y)\/((y**(-3)\/y*y)\/y)*(y**(-2\/5))**(-45))**12 assuming y is positive.\nAnswer: y**236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12421*x - 457243 = -1275*x - 419502 + 853939 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1186 divided by 1\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -49, 5 in descending order.\nAnswer: 5, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 9*o**3 + 6*o**2 - 7*o**2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1 (c) 7 (d) -66\/2137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-5))\/(14\/4) - 0.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/18, 12, -1, -1\/8?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/1450607 and 25\/843054?\nAnswer: 617958582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7143*h**3*l*v**4 - 11*h**3*l*v - 7*h**3*l + h**3 - 251*l wrt v?\nAnswer: 28572*h**3*l*v**3 - 11*h**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/4)\/(p*p\/(p\/(p*p**(-4\/7))*p)*p))**(-7)\/((p*p**2)**(-43)*(p\/(p*p*p\/(p*p\/p**(1\/3)*p)*p*p))\/p*p\/(p**5*p*p)) assuming p is positive.\nAnswer: p**(1663\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11697 = n - 2*c, 3*c + 4 - 25 = 0. Does 49 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 - -345. Suppose -w - 59 = z. Let v = 282 + z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 4)\/(-4) - -18. What is the highest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(27\/(-10962)). Let h = b - 28. Is 33 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(19) + 3)*-5.\nAnswer: -5*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1125 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14931959 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -54. Let p = -23 + y. Let s = p - -14. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/11 + 26242*q\/11 + 419360\/11 = 0. Calculate q.\nAnswer: -13105, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:28 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/(-77) + -2*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 51 = 16*b - 41 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059857520 a multiple of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.679838 rounded to 3 decimal places?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1605*p**2 + 408*p**2 + 401*p**2 + 399*p**2 + 398*p**2. Let t = -5 - -8. Let m(y) = t*y - 5*y - 4*y. What is m(j(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347 divided by -1.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w = -30*w + 49 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416203, 2, 15, -3.\nAnswer: -3, 2, 15, 416203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x - 75. Let n(k) = -k**3 - 15*k**2 + 2*k + 35. Let p be n(-15). Let m be (17 - p)\/(-3 - -5). Solve m - x = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-22\/7)))\/u**38)\/(u*u\/(u*u*(u*u\/(u**(7\/2)\/u))\/u*u*u)*u*(u*u**(3\/2))\/u) assuming u is positive.\nAnswer: u**(-258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12969739?\nAnswer: 12969739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72.52 - 75. Let q = j + 2.5795. Let t = 0.1 - q. Round t to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udu when three letters picked without replacement from dbyuydyufy.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*r**3 + 47*r**3 + 50*r**3 + 50*r**3 - 251*r**3 + 46*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44302 - -64440. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 550\/143 + -4 + 0. Suppose l + 0 + 38 = 0. Let y = l + 151\/4. Which is the nearest to y? (a) -3 (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 - 8*g**2 - 35*g - 18. Let h(w) = w**3 - w**2 - 1. Let o = 25 - 27. Let q(x) = o*h(x) - y(x). Factor q(s).\nAnswer: -5*(s - 4)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -50. Suppose -6*x = -x - y. Suppose 4*t + 8*z - 3*z = 61, x*z - 38 = -2*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3421, -6294, -8337, -9136, -8277?\n\"Answer: 69*m**3 + m**2 - 3359*m - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 36 = 5*u, -124*r = 2*u - 121*r - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*g**2 - 18*g**2 + 82*g**2 + (3*g**2 + 2*g**2 - 3*g**2)*(5 - 1 - 2).\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.43 + -6.66. Let b = 11 + u. Let f be (-57)\/285 + (-21)\/(-30). Put -2, f, b, 1\/9 in ascending order.\nAnswer: -2, b, 1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8284.891 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f - 40*f - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71 - 1?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4364d2 + -2?\nAnswer: -4364d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:06 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a**2 - 6*a + 7. Let q(d) = -11*d**2 + 6*d - 7. Let s(v) = 5*p(v) + 4*q(v). Is s(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -20.06 and 0.16.\nAnswer: -19.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/3 + 9*n**3 - 25*n**2 + 73*n\/3 - 8 = 0. What is n?\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004529 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7357 greater than 7398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*-0.3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020 - 1112121?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g - 6. Let u be d(-4). Suppose 4*v + 3*s = 12, 2*v - s - 2 - u = 0. Solve -4*k + v*m - 2*m + 4 = 0, 0 = 4*m + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h. Suppose 0*b - 70 = -5*b. Let l(g) = -g + 19. Let t be l(b). Let i(o) = -7*o + 14*o - t*o. Calculate i(f(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 12*p**2 + 3*p - 13. Does 5 divide c(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38183047 to the nearest ten thousand.\nAnswer: -38180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -140 + 96 + 71 + 566\/(-18)\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/1*(-108)\/108.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/53428 and 87\/26096.\nAnswer: 348564272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 7*u**2 - 33*u. Let s(t) = 2*t**3 - 4*t**2 - 17*t. Let c(n) = -n**2 + 43*n - 449. Let j be c(17). What is j*s(b) + 4*v(b)?\nAnswer: -2*b**3 - 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 909 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 14. Let a(z) be the second derivative of -1\/24*z**4 + j - 2*z + 1\/6*z**3 - 1\/4*z**2. Suppose a(t) = 0. Calculate t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*s - 1078 = 31*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 6. Let a be y(-5). Suppose 2*n - 17 = -d, -a = -7*d + 4*d. What is the smallest common multiple of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1729 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*p - 3*p + 17, -3*t + 18 = -p. Suppose -t*k + 9 = -2*k. Suppose -2*i + 20 + 71 = 3*c, -k*c - 3*i = -87. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by (5 + 62)*(-2)\/(-8)*4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*p = -4870, -227 - 3685 = -4*l - 4*p. Let s = -20710 + 20726. Calculate the greatest common factor of s and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(304)*1) + sqrt(19)*-1*-4.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:29 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.54 greater than or equal to 4315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 626 - 628.248. Let n = z - -2.3. What is n rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231208813?\nAnswer: 11, 149, 141067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaaasaasvss. Give prob of picking 2 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 - 0 - (23 - 27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 16847875.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 148643, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*y**3 - 100*y**3 + 19*y**3 + 1 - 5 + 6 + 2*y to d*y**3 + k*y**2 + b + o*y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 1. Let m be i(2). Let s = m + 16. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -3 + 4 + (0 + -3*sqrt(128) - sqrt(128))**2 - (3 + (-1 + (-1*sqrt(128) - sqrt(128)))**2 + -2).\nAnswer: -24*sqrt(2) + 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 690 = k - 4*y, 397 = 3*k + y. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7100106953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121, -122, -123?\n\"Answer: -t - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/88933 and 16\/7.\nAnswer: 622531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 47, 50, 53, 56?\n\"Answer: 3*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.16 (c) 4\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*k - 24*k + 36. What is the common denominator of 55\/136 and (45\/4)\/9*k?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 118*b**2 + 1448*b - 5. Let s(j) = 2*j**3 - 120*j**2 + 1446*j - 6. Let t(y) = -6*h(y) + 5*s(y). Find k such that t(k) = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -3906a1b?\nAnswer: -3906a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.7 (b) -1 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 82 divided by 6\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/3)*o)\/o*o**(-35)*(o\/o**25)\/o*o*o*(o\/o**(4\/25))\/o*o assuming o is positive.\nAnswer: o**(-4162\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*o + 455 = -418 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2964, 1\/4, 2\/15, 0.5.\nAnswer: -0.1, 2\/15, 1\/4, 0.5, 2964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 62*o**3 + 6*o**2 + 6*o - 2. Let f(g) = 6*g**3 + g**2 + 2*g - 1. Calculate c(d) - 3*f(d).\nAnswer: 44*d**3 + 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6405, -6403, -6401, -6399?\n\"Answer: 2*i - 6407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88526 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -4680238 and -4680230 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 12*g. Suppose -3*q + 4*i + 26 = 0, 4*q + 4*i - 5*i = 13. Factor g - 2\/5*k - k**q.\nAnswer: -k*(5*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/9 and -73\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f\/f**(-1\/4))\/f)\/f)**14*(f**(3\/4)\/f)\/(f*f**(2\/17)\/f*f))\/(f*f*f**(-2\/13)*f*f**(-1\/4)\/f*(f**(-1))**(-8\/3)) assuming f is positive.\nAnswer: f**(-2825\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -2, 9, -4 in ascending order.\nAnswer: -43, -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t + 3. Let o be r(0). Suppose o*z = -j + 179, 5*z = -7*j + 11*j + 287. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 18*z - 3. Let y be q(2). Let x be 1*(-100)\/6*(-12)\/10. Let r = y - x. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from spllplllllllhl.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -0.07\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y + f - 2*f, 0 = 5*y + 2*f - 19. What is the closest to 0.2 in 0.2, 3\/5, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*c + 38*c - 144*c)*(-4 + 6 - 4).\nAnswer: 548*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53294843 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383.03 - -383. What is the nearest to -0.1 in 0.2, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -15*h**3 + 32*h**2 + 3. Let s(k) = -7*k**3 + 17*k**2 + 2. Determine 5*s(n) - 3*u(n).\nAnswer: 10*n**3 - 11*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/(-4) - 4650\/2120)\/(-6) and 43\/68?\nAnswer: 7208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 2 + 7 - 2. Suppose 4*m = 2*m + 6. Let g(h) = 9*h - 1. Let p(a) = -4*a + 1. Let v(q) = -3*g(q) - 7*p(q). Determine m*i(c) + 2*v(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1 + -2 - (sqrt(432) - -5*(-1 + sqrt(432))))**2.\nAnswer: -480*sqrt(3) + 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7358 - -8298. What is the highest common divisor of 80 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12726 and 2142?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482502 is divided by 229?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -93d + 3?\nAnswer: -93a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1 - 10*z + 7*z + 0. Let l(x) be the second derivative of -x**3\/6 + x. Give 2*a(v) - 5*l(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303658103*t**2 + 339031875*t wrt t.\nAnswer: 607316206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -100222212?\nAnswer: 101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlyzlwlllllylw. Give prob of sequence wyt.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -19*y + 235. Suppose -4*c = 4*h - 72, -7*c + 2*h + 42 = -3*c. Determine r(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a4 - -c?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-22)\/3)\/(-2). Suppose -8*s = 3*s - 132. Let a = h + s. Do -2\/15 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (624\/(-224) - 2\/(-7))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5752 - 2\nAnswer: 5750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, m: 2, q: 2}. Give prob of picking 3 l.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3*d**2 + 2*d**2)*(-24*d + 707 + 534 - 1125 + 324 + 4*d).\nAnswer: -20*d**3 + 440*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12291732 to the power of 1\/2, to the nearest integer?\nAnswer: 3506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1 = 37. Let d = -5 - v. Solve -4 = 4*u - d*j, 3*u - j = -0*j - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42720)\/5 + 0)*-2*(-2)\/(-8). Calculate the highest common divisor of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**3 - 2*o**2 - 2*o + 6. Determine c(2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55\/102 - -5\/17. Let f(a) be the second derivative of -1\/20*a**5 - 8*a + 5\/12*a**4 + 0 + 0*a**2 - d*a**3. Give f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 2952 + 2922 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -3 (c) 2 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 7*y - 22. What is k(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -313, -187, 4, -1\/56?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14368307*d**3 + 22923173*d wrt d.\nAnswer: -86209842*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -13. Suppose 3*k + j = 8, -v*k - k - 2*j + 4 = 0. Solve 5*y - y - k = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -6.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-45)\/(-25)))\/(85\/51) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 13*x**3\/6 + x**2\/2 + 5*x. Let m be (-1)\/(-1) + 0 + 0. Is t(m) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 16 - 2*u + 6*u + 4*u. Let p be k(6). Which is smaller: 1\/47 or p?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/28 + (-76)\/315. Let z = 334 + -662. Let g = 328.1 + z. Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3 + 277288*v**2 + 1663790*v + 1386500 = 0.\nAnswer: -5, -1, 138650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 104*y**2 + 2064*y - 888. Calculate n(121).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 0.51?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 753 and 26661.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 74 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 795 - 920. Find the common denominator of (1\/(-4))\/(7\/16) and (-11)\/((-165)\/w)*(-54)\/8.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39\/25 - -49\/25. Let k = -0.5 + 0.4. Which is the closest to 1? (a) k (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(5*v**2 - 4*v**2 - 2*v**2) + (2 - 2 - v)*(-23*v - 73*v - 120*v).\nAnswer: 217*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 2*m - 1. Let z be x(1). Suppose -4 - 6 = -2*f, 0 = 3*y + 3*f - 6. Which is the third biggest value? (a) z (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 12*u + 3816. Let m = -90 - u. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -13. Let y = -12 + 12.1. Is y less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(6\/11)*x*x)\/x)\/(((x*x*x*x**2*x*x)\/x*x)\/x) assuming x is positive.\nAnswer: x**(-49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10289.08 - -10289. Put 1\/2, v, -2\/407 in descending order.\nAnswer: 1\/2, -2\/407, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y - 37. Let q(t) = 59*t - 109. Let l(h) = -17*m(h) + 6*q(h). What is l(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-2) + 2)*2. Let p(a) = a**3 + 4*a**2 + 4. Let k be p(c). What are the prime factors of 2\/(-4) + 10\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7320*x + 3805*x + x**3 + 3515*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 182. What is p(-10)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21393 - -49088. Is 108 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3672*k**5 - 23964*k**4 - 25016*k**3 - 9024*k**2 - 1024*k = 0 for k.\nAnswer: -16\/3, -1\/2, -8\/17, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0 - 2*g + 0. Let x(q) be the first derivative of -q**5\/30 - q**2 + 2. Let c(b) be the second derivative of x(b). Give k(c(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 72*a**3 - 4*a**4 - 54*a**3 - 16*a**3 - a**2 + 3 as o + u*a**4 + k*a**2 + h*a**3 + w*a and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 + 5*t**2 - t - 7. Let g(d) = -d**3 - 2*d**2 + 3. Let s be ((-36)\/(-20))\/(1 + (-2)\/5). What is s*c(u) + 7*g(u)?\nAnswer: 2*u**3 + u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5113*m - 5113*m + 6*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**3*o**2 - 1626127*d**3*o - 2073*o**2 + 2*o - 408 wrt d.\nAnswer: 3*d**2*o**2 - 4878381*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*r - 3 - 1 to y + i*r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 261*y + 526. Let o be g(-2). Which is the third smallest value? (a) o (b) 0 (c) 0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 12*u + 308. Let l = u + 31. Factor 7*o**2 - 2*o - 8*o**2 - 2*o**3 + 3*o**l.\nAnswer: o*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*k - 15, -14 = -4*k + 2*z - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {v: 11, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 1365*b - 9599. What is a(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 16, -5*f = -2*w + 16 - 128. What is the lowest common multiple of 12 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 13*k + 8. Give h(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86737, -87151, -87565, -87979, -88393, -88807?\nAnswer: -89221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7945 + -3000. What are the prime factors of r?\nAnswer: 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 - 164*g**2 + 105*g + 4306. Calculate b(-41).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, n: 1, e: 6}. What is prob of sequence bbn?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 99, 120, 143, 168, 195?\n\"Answer: d**2 + 18*d + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 5, -65, -1\/5, -6, 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2. Let l(w) = -w**2 + 1. Let i(x) = 159*x**2 - 212. Let k(f) = i(f) + 212*l(f). Determine k(q(j)).\nAnswer: -53*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -485 greater than -6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(3*g**2 - 3*g**2 - g**2) + 14*g + 10*g**2 - 14*g to the form l*g**2 + o + n*g and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 47*k**2 - 44*k + 19. Determine f(-46).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -3045\/424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 = -2*x, 4*x + 0*x + 25 = 5*u. Solve x = -2*m + 33 - 35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*c = -69*c - 648168. What are the prime factors of c?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 353.06 to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**4 + 3647*k + k**2 - 3647*k + 1 in the form d*k**3 + q*k**2 + y*k + r*k**4 + s and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 3*k + 0*k)*(-5 + 5 - 3*k) + (6 + k - 6)*(0 + 2*k + 0) + 2*k - 2*k + k**2 in the form q + w*k + t*k**2 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 321, 465, 593, 699, 777?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162 (base 10) to base 3.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 + 5697*w\/2 + 59843\/3.\nAnswer: -(w - 17098)*(w + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1*137 - -4. Suppose w + 204 = 3*x. Calculate the greatest common factor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-1)\/(-96)*4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15513422?\nAnswer: 2, 1063, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -12*m + 1232. Does 77 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 146*q - 8201. What is l(56)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 2836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/55 + (27\/15 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 2\/17, 0.4, -4, -20\/9 in ascending order.\nAnswer: -188, -4, -20\/9, 2\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(320) + -3*sqrt(320)))\/((sqrt(256)*1 + sqrt(256))*-4 - sqrt(256)))**2.\nAnswer: 80\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2171.8566 - 2171. What is p rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -534 + 552. Suppose -x - 3*x + 652 = -z, -5*x + 5*z = -830. What is the greatest common factor of f and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18818921+0.7\nAnswer: -18818920.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 306601 and 3?\nAnswer: 919803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - ((81 - 188) + 111)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 70, -42, -262, -626, -1170, -1930?\nAnswer: -2942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 631, 935, 1255, 1597, 1967?\nAnswer: 2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b - 1949?\nAnswer: -1a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, 1 r, and 1 h when four letters picked without replacement from {r: 1, h: 2, t: 2, x: 11}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801033 is divided by 1313.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71939088 divided by 76858.\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818005953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -62*v**3 - 165*v**2 - 185*v - 46 - 5*v**4 + 30 + 7*v**3 - 54 = 0?\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 769482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -11. Suppose 5*d - 1 = 19. What is the second derivative of -4*z**5 - 3*z + t*z**5 - 5*z**4 + 5*z**d wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 14, 0.8 in increasing order.\nAnswer: -6\/13, 0.8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58342 and 26775214.\nAnswer: 830031634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngnnnngn. Give prob of picking 3 n.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*x + 68, 0*x + x - 4*o = 28. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**6\/540 + i**5\/60 - i**4\/18 + i**3\/6 - 3*i**2. Let b(j) be the first derivative of z(j). Solve b(n) = 0 for n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/5, -3, -11\/4, 6, -117 in decreasing order.\nAnswer: 6, 2\/5, -0.3, -11\/4, -3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 8818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/8 greater than -41.1004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 26*i - 26. What is k(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o - 2. What are the prime factors of u(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.1 - -19. Let o = b - 1. Sort 5, -5, o in ascending order.\nAnswer: -5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -1328*g**3\/3 - 1430*g**2 - 3968. What is the second derivative of z(h) wrt h?\nAnswer: -2656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p**2. Let s(b) = 486*b - 34. Let r(c) = -212380*c + 14875. Let w(l) = 2*r(l) + 875*s(l). What is m(w(n))?\nAnswer: 2401000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396252075 and 88425.\nAnswer: 3566268675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 1, t: 1, c: 2}. What is prob of picking 1 t and 1 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p**2 - 5. Let r be o(0). Let j = r + 5. Find the third derivative of w**5 + 0*w**5 + w**2 + j*w**2 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -37*y**2. Let n(r) = 1481*r. Let c(q) = -285*q. Let a(d) = -11*c(d) - 2*n(d). Calculate b(a(t)).\nAnswer: -1107373*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 63. Suppose -3*i + 11 = 5. What is the third derivative of -4*c**i - 4*c + f*c - 5*c**3 + 2*c**2 wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.23485 (b) 0.2 (c) 170 (d) 2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(270)\/sqrt(6))\/((-3*sqrt(90))\/sqrt(10)) + (sqrt(20)\/(sqrt(16)\/sqrt(36)) - (sqrt(20)\/sqrt(4)*1 + sqrt(30)\/sqrt(24))).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354 and 47280004?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5137 is divided by 125.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121477772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 41) + 1 + -16 + -38 + (0 - -1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/300 - 5\/((-75)\/28). Let o = 7 + -11. Sort c, -9, o in ascending order.\nAnswer: -9, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + x = -8, -5*x + 17 - 42 = 0. Suppose 4 = 2*q + j*f - 3, -2*q - 1 = -5*f. Solve 6*p - 3*p = -q*k + 20, -4*k = -4*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/18*(350\/(-875))\/((-4)\/1530)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:34 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x)*(3 - 5 + 1) + (-4*x + x + 2*x)*(-2 + 3 - 8).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 7) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 0, 79*a = 77*a + 3*y + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24929 - 26848. Sort 5, -1\/2, q in decreasing order.\nAnswer: 5, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2899 + -1178. Is i at least as big as 1721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -21991*w - 87848. Calculate m(-4).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -94 (b) -7 (c) -0.5 (d) 2 (e) -4 (f) 0.15531\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 3) + -24 - -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, -8\/5, -7, -123 in increasing order.\nAnswer: -123, -12, -7, -4, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 192*z + 2. Let y(s) = 91*s. What is y(q(p))?\nAnswer: 17472*p + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -42 + ((-296 - -186) + 71 - (1 - 26))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + -1*sqrt(91))*1 + sqrt(91))\/sqrt(7) + 2*(-5 + -1 + sqrt(13)).\nAnswer: -12 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.3, -2\/63, -19, -0.07.\nAnswer: -19, -0.07, -2\/63, 0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 70*x**2 - 5*x + 10. Suppose -q = -2*j + 9, -2*j - 5*q + 4 = -q. Let d be c(j). Round d to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3653 - 3656. Let y = -571\/3 + 192. Let v = -134\/7 - -20. Which is the third smallest value? (a) v (b) y (c) g (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98227553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 80 = -5*b - 3*y, 2*b = -7*y - 7668 + 7780 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -14.984. What is q rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1550, 11021, 36726, 86783, 169310, 292425, 464246?\n\"Answer: 1353*x**3 - x**2 + 3*x + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10}. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335*m**3 - 2061*m**3 + 1000*m**3.\nAnswer: 274*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -6 (c) 0.1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*u + 14, 3*n - 2 - 7 = u. Let x = -3 - -5. Find the third derivative of -3*w**x + 4*w**2 - 2*w**2 + n*w**4 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bab8 - -2b0?\nAnswer: 201a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*d = 0, 28*d - 3 = 25*d. Is k at least as big as 1303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 14*w + 20. Suppose s = 2*p - s - 16, 0 = 5*s + 20. Let k be (-22 - 2)*2\/p + 0. What is i(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 - (-23754)\/259)*(-2)\/25.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 14245034.\nAnswer: 128205306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (9 + (2 - 20) - -12 - 22)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m. Let q(l) = -2 + 2 - 41*l**2 + 73*l**2 - 34*l**2. What is p(q(w))?\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 42, 38, 32, 24, 14?\n\"Answer: -g**2 + g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(10\/55)*2\/2. Let l(b) = 16624*b - 136. Let w be l(i). Round w to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2. Let v(z) = 14*z**2 - 11*z**2 - 6*z**2. Give l(v(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(13695\/(-332))*(2 + 2019\/(-1002))?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -153*t + 4772. Determine u(31).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -7. Solve x + 1 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*t = 54, -77 = 5*r - 3*t - 235. What is the greatest common divisor of 306 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - -52) + (1 - -1) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1909594241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 234.\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.581 - -10.581. Put 4, 1, g, 3\/8 in increasing order.\nAnswer: 3\/8, 1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g**3 + 25*g**2 + 15*g - 6. Let r(s) = -7*s**3 - 17*s**2 - 10*s + 4. Let l(k) = -5*j(k) - 7*r(k). What is l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 + 10*p + 4. Let j be n(5). Suppose -j*q = m + 3*m, 20 = 5*m - 5*q. Suppose -4*t + 0*t - 20 = -4*d, m*d - t = 10. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-18\/7)*(b*b*b\/(b*b\/((b*b**(-20)*b*b)\/b))*b*b)\/b assuming b is positive.\nAnswer: b**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 60. Solve 2*l + w - 3 = 0, 0 = -l - 2*l - 4*w + k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2010.99983464 + -2011. What is j rounded to six dps?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 1. Let z(y) = -4*y. Let u be z(-6). Let s = -26 + u. What is v(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 3 + y**3 - 3 + 3. Let z(b) = -8*b + 8*b + 2*b**2. Give z(q(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2746, -2751, -2760, -2773?\n\"Answer: -2*a**2 + a - 2745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t - 4011. Let w be c(0). Let s be (-6)\/(-39) + w\/(-39). Let r = -66 + s. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*a + 3*g, 0 = -a - a - g + 19. Let v(f) = 4*f + 3 - 8 - a*f - 5. Let t be v(-4). Solve -t*m - 5*k + 17 = -2*m, 4*m - 2*k - 10 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2827.67838 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 8*v - 5*u = 58, v - 6 = -u. Let j = 4 - 1. Suppose 4*x - w = v + 13, 2*x - j*w - 2 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 7*o**2 - 12*o + 11. Let l be r(5). Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**7\/840 + f**4\/2 + 8*f**2. Let c(v) be the second derivative of k(v). Let h(z) = 6*z. Calculate h(c(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828988.\nAnswer: 2, 17, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23545 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -52*c + 48. Let g be h(1). Let f(i) = 6*i**3 - 3*i**2 - 4*i + 2. Let d(q) = 7*q**3 - 4*q**2 - 5*q + 2. Calculate g*d(r) + 5*f(r).\nAnswer: 2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 12 = 11*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 105*x - 1044. Give a(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/616 and -27\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11434.3 + 11434. Which is the closest to 1? (a) 2\/7 (b) -4 (c) 0.06 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/24 (b) 2\/43 (c) 0 (d) -4\/3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 22 - 27. Let j(c) = c**2 + 6*c + 8. What is j(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963902763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1364*a**3 - 2044*a**2 - 1247*a**3 - 16*a + 2044*a**2 as g + s*a**3 + v*a + f*a**2 and give s.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29c4 - -1c7?\nAnswer: -27ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v + 5*v**3 + 1\/40*v**5 - 9\/16*v**4 - 65*v**2 + 0. Factor d(o).\nAnswer: 3*(o - 5)*(o - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/22 - 8\/44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 + 166334*q**2\/3 + 166340*q.\nAnswer: -2*q*(q - 83170)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-11) + (-2)\/(-11) + 5\/(-11)*-11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*r + 272 + 1836, -4*r + n - 2103 = 0. Let g = r + 1583. Suppose 9*o + g - 4603 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 5, l + 19 = 4*t. Suppose -t*a = 5*n - 180, 0 = -n + 2*n - a - 28. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4802? (a) -3\/4 (b) 228 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1161734, -2323466, -3485198, -4646930, -5808662?\nAnswer: -6970394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 25 = 4*w, -5 = 4*w - 0*r - r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/880014 and 35\/18.\nAnswer: 2640042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 11010110001011100001110110?\nAnswer: -11010110001011100010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Suppose -3 + 19 = -4*f. Which is the smallest value? (a) f (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 12*z**2 + 13*z - 8. Let m be x(-13). Let b(t) = t**2 + 8*t + 5. Let a be b(m). Solve -5*k - 3*o + 3 = 20, o - 1 = a*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3)*4\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g - 53*g = 66560100. Suppose -g = -4*b - 5*s, s - 20 = -3*s. Round b to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11928220?\nAnswer: 2, 5, 17, 35083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/69 - 4\/46\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m. Let d be z(-3). Suppose -2*c = -d*c + 156. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -15*b - b - 39*b + 148*b**2 - 288*b**2 - 5*b**3 - 25 + 105*b**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*o - 31, 4*o - 5 - 7 = w. Let f(i) = -i + 19. Let j be f(w). Let q = -4 + j. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y - 2. Let g be o(4). Suppose g*a + 5*p = 422, 2*p + 2*p = 16. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 249*b - 2616. Calculate i(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5741214 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2344 and (-1)\/((0 - 12\/6)\/((-14064)\/(-12))).\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**3 - 15*f - 3*f**3 - 13145*f**2 + 13141*f**2 in the form q*f**3 + b + j*f + r*f**2 and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 2*k - 9*k + 2*k. Let p(j) = -2*j. Determine p(c(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -5. Let m = 8 - y. Solve -1 = 3*v - m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -163569.21535?\nAnswer: 163571.21535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cb - 14ddb?\nAnswer: -14c10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1318072143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 30900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442921602 = 109*n - 625*n - 50*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((16\/(-40))\/((-12)\/10)). Solve -2*k = -3*f - 1, 5*k = -t*f + 3*f + 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 3 - 4750\/(3200\/(-64))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4 and 1\/12193483?\nAnswer: 48773932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/9*-15 + 4. Is 2056\/d*(-3 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (17 - 10)) + -1 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1435872 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -42. Suppose -42 - 18 = -n*l. Suppose 40 + l = 2*f. What is the greatest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*p**2 - 84 + 170 + 135*p**2 - 86.\nAnswer: 396*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (10\/(-35) - 192\/14). Find the first derivative of -4 - 14 - 9 - i*w**2 + 24 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(13) - (sqrt(65)\/sqrt(5) + -2)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y. Let n(l) = -15*l - 1. Let j(q) = -6*n(q) - 13*s(q). Let i be j(0). Let f = 21057 - 21048. What is the greatest common divisor of i and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -444 in -0.3, -2.85, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 207399353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*k + k**3 + k**3 - 26*k to the form l*k**3 + x*k**2 + a*k + j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:50 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.65 and 563.\nAnswer: 561.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17544633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 19*z + 0 + 18*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 2*o**2 - 10*o - 6. Let t be m(-4). Let n = 2 - 2. Suppose -t*h + n*h = -138. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7320 + 7280 - 32*r - 14600.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n + 6*n - 5*n - n + 2 - 2 + (-3*n - n + 3*n)*(0 + 2 - 4) - 30824 - 122*n + 30824 as x*n + p and give x.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-13)\/(26\/4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315 - 171. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + -57?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 13, -7, 12 in ascending order.\nAnswer: -7, -5, 8, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82126290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-5) - 14\/(-70). Is i less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3710720451 to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 13*m + 24. Solve 2*p = -4*t + 2, t + m*p = p + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 453 - 452.7. Which is bigger: -85 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.34528 rounded to two dps?\nAnswer: -8.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (212\/(-159))\/(1\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62262868 is divided by 73.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -207*l + 4 + 222*l - 476*l. Let n be y(4). Let c be (n\/(-12))\/(2\/(-3000)). What is c rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.009, -2\/17, 0.133, 9, 0.1 in decreasing order.\nAnswer: 9, 0.133, 0.1, 0.009, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*y = -491*y + 1476 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 819253248 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, w: 2}. Give prob of sequence jjww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -4, -6, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11483 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.0594 - 0.0594. Which is the closest to 0.2? (a) k (b) 4 (c) 0 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21728.18l to millilitres.\nAnswer: 21728180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s + 27. Let v be x(3). Solve 0 = -3*f + 2*y + 6, v = 4*y + y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 698 and 2310031?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77809352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 1151.5544.\nAnswer: 19576.4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -11*w**2 - w + 1. Let x(b) = -10*b**2 - b + 1. Let i(f) = 5*h(f) - 6*x(f). Give i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120469?\nAnswer: 11, 17, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.039 + -0.161. Which is the closest to 1\/5? (a) 0.1 (b) -5 (c) -0.05 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwzzjdr. Give prob of picking 1 d and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -80278\/15 and -5352 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034*-3.72.\nAnswer: -0.12648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6321420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 600 + -548. Calculate the greatest common factor of 39 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 107.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6\/11)*g\/g**1)\/(g\/(g**1*g))**(2\/7) assuming g is positive.\nAnswer: g**(-20\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 12 = 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/937 or 1?\nAnswer: -2\/937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (435\/10)\/(3\/4). Suppose -v = -5*s + f, -2*s + 5*f + 20 + 17 = 0. Suppose 4*z = 5*a - s, 0 = -0*z - z + 4*a. What is the biggest value in z, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:35 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 1. Let v = -5.1 + w. Let x = v - -5.2. What is the second biggest value in x, -1\/4, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003065 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -35*k**4 - 3*k**3 - 3*k**2 + 36. Let n(f) = -106*f**4 - 10*f**3 - 10*f**2 + 108. Let z(v) = -10*h(v) + 3*n(v). Differentiate z(x) wrt x.\nAnswer: 128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2124, -25\/6, 1 in increasing order.\nAnswer: -25\/6, 0, 1, 2124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 473 + -474. Let t = -2.02 + 0.02. What is the closest to t in f, 0.5, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vve when three letters picked without replacement from {e: 5, v: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.292 - -0.3. Let j = 425 + -424.118. Let d = f + j. What is d rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233 - -232.97. Which is smaller: d or 21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + 10. Let d(y) = -4*y**2 - 6*y + 12. Let o(f) = 11*f**2 + 13*f - 26. Let g(j) = 13*d(j) + 6*o(j). Calculate u(g(t)).\nAnswer: -56*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/43)\/(((p*p**(-2\/37)*p)\/p)\/p) assuming p is positive.\nAnswer: p**(12\/1591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 1740000 = -8*j. What is j rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1 = -3*y, n + n + 12 = 5*y. Let u = -4 + 4.4. Let d = -323.5 - -324. Which is the closest to -1? (a) u (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*d**3 - 3)*(-31*d + 1408 - 1408 + (-4 + 1 + 0)*(d + 0*d + 3*d)).\nAnswer: -129*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 54, 50, 12, -72?\n\"Answer: -2*j**3 + j**2 + 29*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - i. Suppose i = q + v, -q + 0*v = -4*v. Suppose q*w = w - 13. What is the greatest common factor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + (-166)\/(-7). Is l\/9*111 + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -427, -586, -745?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*r + 49*r - 777478 = -95*r. What is the highest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-489)\/((-3)\/5*30\/12).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-96)\/(-486))*1\/(-3). Let c = 11\/12 + -2\/3. What is p in c*p**5 + 27\/2*p**2 + j*p + 5\/2*p**4 + 0 + 9*p**3 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5*u - 7*u - 13*u + 6*u.\nAnswer: -9*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(272).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 119 = -2*i, 2*i = x - 91 - 24. Let j(p) = p**3 - 5*p**2 + 3*p + 17. Let d be j(4). What is the greatest common factor of d and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118202 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:41 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 - 6*q**2 - 88*q - 4. Let s(h) = 8*h**3 + 16*h**2 + 268*h + 11. What is 11*p(w) + 4*s(w)?\nAnswer: -w**3 - 2*w**2 + 104*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1593b - 3?\nAnswer: 15938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*s)*(5176677 + 336*s**2 - 5176679 - 8*s + 4*s) in the form v*s**2 + j + l*s + x*s**3 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -172ac - -2?\nAnswer: -172aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-15)\/(-2)*1\/5. Let p be (-40)\/s*17\/(340\/(-288)). Suppose 0 = 3*n - p + 12. What is the lowest common multiple of 11 and n?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (46\/75)\/((-20)\/210). Let r = -32\/5 - m. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - s - 16. Let i be (0 + -1)\/(2\/(-10)). Let j be f(i). Suppose -11*p - j*p + 405 = 0. Sort -2, -3, p in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97198009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 smaller than -134\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(126))\/sqrt(7) + -3 + (sqrt(1936) + (sqrt(1936) - 2*sqrt(1936)))\/(1*sqrt(200)).\nAnswer: -18*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -28 - 5) + 5 + (-8 - -4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 - (5 + 14) - (-58 + 25 - -23).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 753.\nAnswer: 8283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 26*d - 259. Determine r(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**3 + 24*k**2 + 24*k. Let v(i) be the third derivative of i**5\/60 + i**4\/24 - 14*i**2 + 2*i. Calculate -24*v(n) + z(n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 3*k**2 + 3*k - 4. Let n = 21 - 25. Let i be h(n). Suppose i = 5*c - 11 - 14. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 44 + 104. Let i = 24 + b. Suppose i*d + d = 540. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-681 - 150*v + 681)*(-3 - 1 + 2) + 2*v - v - 3*v.\nAnswer: 298*v","meta":{"dup_signals":{},"source":"polynomials__expand_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: Find the common denominator of -23\/448020 and 67\/8550.\nAnswer: 2240100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.2 + 572.2. Let o = 522.95 - v. Are 0.2 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127285920 divided by 15910740\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48210? (a) -2 (b) 0.068 (c) -5 (d) -0.3 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -169979 (base 14) in base 5?\nAnswer: -200414022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1926*o**2 - 21*o - 12. Let f be s(-8). Suppose f = -191*q + 197*q. Round q to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378995 is divided by 118?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12309660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esssssesveeeseeesev. Give prob of sequence vvs.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2170 = 7836*i - 7826*i. Solve -i*m + 6 = -211*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7222, -14481, -21774, -29107, -36486, -43917, -51406, -58959?\n\"Answer: -s**3 - 11*s**2 - 7219*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -s - 4*i, -4*s + 8*i - 5 = 5*i. Let l be (-2806)\/(-8) - (-2)\/8. Is ((-16)\/10)\/(s\/(-5)) + l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 4*v - 68, -213*v - 60 = -216*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 28 = -4*p + 3*a, -3*p + 2*a = -14. Solve -5*z - 8 = 4*b, p = -6*b + 7*b - 2*z + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -245622?\nAnswer: -245623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 9693958.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066 a factor of 63285306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 - 158*w**2\/5 + 11661*w\/5 - 11502\/5.\nAnswer: -(w - 54)*(w - 1)*(w + 213)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 2*v**2 - 1. Let t = -33 - -54. Suppose 2*d + 5*d + t = 0. Determine p(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2. Let d(k) = -29*k + 65*k - 28*k. Give d(z(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -45*f**2 - 18. Suppose 158 - 38 = -24*r. Let w(y) = -13*y**2 - 5. Let t(m) = r*d(m) + 18*w(m). Let s(z) = -6*z. Calculate s(t(o)).\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 125 + 413*n - 466*n.\nAnswer: -53*n - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c*c*c*c*c**(-2\/29)*c*c)\/c*c))**(-8))**50 assuming c is positive.\nAnswer: c**(68800\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9355, 0 in increasing order.\nAnswer: -9355, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjxjvj. Give prob of picking 1 v and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 31 (b) -168 (c) 1\/4 (d) 4 (e) 0.046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 43*f**2 - 59*f + 662. Give v(44).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 169*z + 5871. Calculate k(49).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -666*x + 661*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-8)*146420\/50 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*c**3*d**3 + 7*c**3*d**2 - c**3*d + 104*c**2*d**3 + c**2*d - 6*c**2 wrt c.\nAnswer: -198*d**3 + 42*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 113590 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(9\/(-2)) + -3)*0. Let c(f) be the first derivative of 0*f + q*f**4 - 3\/5*f**5 + 0*f**2 - 1 + 4\/3*f**3. Find the third derivative of c(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 56 - 68 - 27.\nAnswer: 4*k - 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*h - 3*o + 123 = 739*h, -3*o - 21 = -h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 - 13*a**2 + 121184*a - 242368*a + 121184*a + 9*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/17, -1\/5, 0, 5 in ascending order.\nAnswer: -6\/17, -1\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4246, 5425, 6556, 7639, 8674, 9661, 10600?\nAnswer: 11491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = d - 3, 9 = 3*d - 2*q + 7*q. Suppose 0 = 3*a - 5*z - 12, z + 2*z = 0. Solve 0 = -2*g + a*v - 14, 3*g - 5*g = d*v - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*z = -26, 3*h = 5*z + 3 + 47. Calculate the least common multiple of h and 23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816 and 2245404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) + 5*sqrt(21)\/sqrt(7) - (3*sqrt(3) + 3)) + -2 + ((-1*sqrt(588))\/sqrt(4))**2.\nAnswer: 3*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -725 - -4427\/6. Calculate the common denominator of 14\/27 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 129. What is the smallest common multiple of 7 and b?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2600 - 10441 = -490*p + 1469 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 0*n - 3\/2*n**2 - 1\/2*n**4 + 0*n**3 + 1. Find the second derivative of z(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 7*l**2 - 10*l + 14. Suppose 0 = 69*w - 71*w - f + 7, 2 = 2*w + 2*f. Give x(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7 - 1) + 16 - 13) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.36 + -0.36. Let l = -12 + n. Sort -0.1, -5, l.\nAnswer: -5, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 35*z**2 + 100*z - 42. Let v = -35 - -67. Let x be p(v). Calculate the greatest common divisor of x and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 42*x + 1262. Let k be t(-30). Let z(c) be the first derivative of -23 - 1\/2*c**k + 8*c. Give z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/100 and -57\/67300.\nAnswer: 67300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55246 divided by 26?\nAnswer: 27623\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*j + 2 - 0, -4*j - 20 = 2*g. Let t = g - -4. What is the derivative of -k**2 + k**2 + 1 - 2*k**t wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -14. Find the second derivative of -6*x**4 - 7*x + 5*x**4 + h*x**4 + x wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12*x - 3. Let v be n(-2). Let b be (-6)\/v + 384\/21. Let d be (1\/(-1))\/(54\/30 + -2). Solve -2*r = -5*f - b, -3*f + 18 = d*r - 2*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0203 - 0.1437. Sort x, -4, 5.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r + 1. What are the prime factors of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 11*y - 3. Let n(s) = -6*s**2 - 21*s - 7. What is 3*n(b) - 7*q(b)?\nAnswer: 3*b**2 + 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from zzzhzzzhzziiiizzzziz?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.1, 42, 104, 0.05 in increasing order.\nAnswer: -2\/7, 0.05, 0.1, 42, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*p = -37, 0 = -0*m + m + 5*p - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q*q*q**(-1\/11)))**(2\/11)*(q**(-6\/7)*q**0)**(-1\/7) assuming q is positive.\nAnswer: q**(-2410\/5929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093526 at most 2093528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1594 + -1582. Suppose 3*r + 3*m = -b, 55*r - 4*m = 51*r + 16. Let -4\/17*t + r + 2\/17*t**2 = 0. What is t?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45.783*0.002\nAnswer: 0.091566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -137) + (3909 - 4042).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2 - 12. Suppose -z + h*z = 2320000. What is z rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 425 and -9668.\nAnswer: -9243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 2:21 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32439854 to four dps.\nAnswer: -0.3244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhpp when four letters picked without replacement from vhvpvhvhvhpvpvhv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = q - 76, -3*q - h + 235 = 3*h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/255 and -139\/378?\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 6 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4)\/(8*-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4317497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12160\/9 + -11588498\/8577. Does 1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 3483?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2722*b**2 + 1542*b**2 + 60*b**2 to t + u*b**2 + y*b and give u.\nAnswer: 4324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14174847?\nAnswer: 3, 521, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b - -26?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -536 + 0?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1903, -5562, -11657, -20182, -31131, -44498?\nAnswer: -60277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 4*a**2 + 5*a - 7. Suppose 420 = -c + 4*c. What is the remainder when v(-6) is divided by c\/15 - (-1)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-8 + 4 - ((4 - 7) + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603398 is divided by 7362?\nAnswer: 7076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/34 - -5\/238. Calculate the common denominator of q and -67\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166 - 3?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/2 - 2 - 6. Let p(h) = -h**2 - 7*h - 5. Let k be p(u). Suppose -k*o - r + 191 = 0, -2*o + 7*o - 2*r = 188. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 46*q + 879. Determine z(-17).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1007 - 1947 = -14*z. Let w = 7 + z. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 15*o - 50. Let x be y(-6). Solve -2*l = -4*t, x*t - 2*l = l - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7733000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -9.812?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.762 - -2.792. Let t(z) = -z + 2. Let h be t(3). Which is the smallest value? (a) x (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017596806 to five dps.\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 70. What is the tens digit of 42\/c*(-20)\/(-25)*-20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**3 - 11*c**2 + 13*c - 11. Suppose -d + 55 = 4*d. Let z = -3 + 5. Let w(a) = 4*a**3 + 7*a - 6 - a**2 - 5*a**z - a + a. Determine d*w(s) - 6*f(s).\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 102*s\/7 - 820\/7.\nAnswer: -2*(s - 41)*(s - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 8:35 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (10 - (9 - -1) - (-2 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - 105. Solve -3 = o*f - 0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 304 = 2*t, 2*t = 3*t - j - 160. Suppose 26 + t = r. Calculate the greatest common divisor of r and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -0.3 (b) -28\/39 (c) 0.05 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 14. Let q be l - -5 - 0\/3. What is the second derivative of 3*p**4 - p + 2*p**4 + 2*p**4 - 4*p**q wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*x - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608935.\nAnswer: 5, 121787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a + 0*a - a)*(-4 + 0 + 2) + (-4*a - 2*a + 3*a)*(1 + 3 - 6) + 4*a + 0*a - 2*a)*(3*a**2 - 7 - 2141*a + 2141*a).\nAnswer: 30*a**3 - 70*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 9*h**2 - 21*h + 8. Let c be u(5). Solve 1 = c*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. Let m = t + 9. Suppose 4*r + n = 49, -3*r = -2*r - 2*n - m. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2830 and 14738074?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 7 - 13. Let r = 0 - -1. Suppose w - o - r = 0. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Is -2\/173 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**2 - 4*b**2 + 4*b**2 + (1 + 2 - 2)*(8 - 8 + 5*b**2) - 2*b**2 + 2*b - 2*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -35. Let m = h - 18. Which is the nearest to 0.1? (a) m (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:34 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m**2 - 2*m**4 - 6*m**4 + 0*m**4 + 8*m**4 + (3*m - 1 + 1)*(15*m**3 - 109*m + 109*m) + 5*m**4 - 5*m**4 - 2*m**4 - 2*m**4 + 3*m**4 - 2*m**4.\nAnswer: 42*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1824 and 704.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 32*t - 6382500 = 0. What is t rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -6, -3, 352?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v**5 + 71*v**3 - 63*v**3 + 10*v**5 - 56*v**2 + 102*v**3 - 43*v**4 - 9*v**4 = 0. Calculate v.\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234336.7ml to litres.\nAnswer: 234.3367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -347*i**4 - i**3 + 32370*i - 522614190?\nAnswer: -1388*i**3 - 3*i**2 + 32370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/7 of a week in hours?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1792216 at most -1792213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*p + 10 = -4*q, 0 = -q + 2*p + 8. Suppose -3*g + q*w = -13, 4*g + 4*w - 4 = -0. Which is smaller: g or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 = 5. Suppose -4*m = -4, -56 = -4*v + z*m + m. Calculate the highest common factor of v and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/60 + (-4)\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14*-1*(16 + 9). What is the greatest common factor of 490 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:56 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (20 + 3)) + (-5 - -9 - (12 - 1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 16*o**2 - 25*o + 29. Is y(-32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 633871*l - 626585.\nAnswer: 633871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y - 70*y = -14055. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2645910*r**2 + 4*r**3 - 2*r**3 + 0*r**3 + 2645910*r**2 - 9*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.5 + 27.50000085. Round s to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 598518375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11212122121 (base 3) to base 12.\nAnswer: 4765a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 6*h, -v + 2*h + 7 = 0. Suppose g - 2*s = 3*s + 4, -5*g = -v*s - 20. Suppose -g*q = -3*y + 123, -3*q - 8 = 2*y - 73. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 0. Let r = 1 - t. Which is the nearest to 0.1? (a) r (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 - 43. Suppose -4*q = -1163 + 1051. Calculate the highest common factor of r and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7552877.8 to the nearest 100000.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**6\/6 - o**5 - o**4\/2 + 14*o**3\/3 + 3*o**2\/2 - 9*o + 64. What is u in r(u) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 286*j - 268*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8181 or -8173?\nAnswer: -8173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + 175\/20. Factor -q**3 + g*q**3 - 6*q + 13*q**3 - 15*q**2.\nAnswer: 3*q*(q - 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/2)*s*s)**(-9\/4))**44\/((s**(2\/5))**(-46))**(34\/7) assuming s is positive.\nAnswer: s**(-11069\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o + 17. Suppose -2*m = -6*m - 3*n + 3, 2*n = 2*m + 2. Calculate z(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (sqrt(21) + sqrt(42)\/(sqrt(2) - sqrt(18))) - sqrt(21)) + (sqrt(21) - -1*sqrt(21)*-4))\/(sqrt(243) + -2*(sqrt(243) + -1*sqrt(243))).\nAnswer: -7*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.761 - 15.161. Let u be 1 - (2 - 0 - -1). Let j be u\/(-2) + -1 + 1. Which is the nearest to j? (a) 1\/3 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1993892, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3*6\/(-34). Let l be ((-715)\/66)\/13 + 147\/90. Which is the fourth biggest value? (a) -5 (b) 3 (c) l (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35183*y**5 - 213062*y wrt y.\nAnswer: 703660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/40 and -83\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3627 (c) -3 (d) 5\/3 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 428.849?\nAnswer: -428.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 767 - 20. Let a = 751 - k. Solve a*f + 3*r = 5*r + 2, -4*f + 17 = 3*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 5*b**6\/24 + b**4\/24 - b**3\/3 + 17*b**2. What is the common denominator of 31\/2 and w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:05 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/10 - 11*b**4\/12 - 4*b. What is the third derivative of h(z) wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**2 - 360*w - 6480 = 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-22 - 0)) + (-73 - -105 - -16)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i + 5. Suppose -x = -1 - 4. Let h be 195\/13*2\/x. What are the prime factors of l(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*-1*(sqrt(117)*1 + 3 - (sqrt(117) + 0)*-2 - (((sqrt(117) + 0 - sqrt(117)) + sqrt(117))*4 + 4))**2.\nAnswer: 72*sqrt(13) + 1416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.9344 millilitres to litres.\nAnswer: 0.9179344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*(-90)\/(-25)*125\/60.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47755243?\nAnswer: 47, 1016069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -61520.4 rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 1 - 1 - z**3 + 1 - 638*z - 10 as q + n*z**2 + y*z + x*z**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1894010143808\nAnswer: -1894010143808.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -w + 43. Suppose m - 34 - w = 0. Let h = m + -48. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697951.\nAnswer: 697951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 3*i, 4*t + 4*i = -3 - 5. Suppose -a = -2*a + t. Differentiate 2*p - 1 + 2*p**3 + a*p - 4*p wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) -0.06 (b) -1\/43 (c) 0.06 (d) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 453309*d - 453306.\nAnswer: -3*(d - 151102)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3569\/104 - 386\/13. Calculate the common denominator of f and ((-121)\/(-2))\/(6\/6*-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0227247*-3\nAnswer: 0.0681741","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -18*u**2 + 2*u + 2. Let s(b) = -9*b**2 + b + 1. Let a(r) = -9*s(r) + 4*y(r). What is a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9025 (base 10) to base 5\nAnswer: 242100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -3333?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 100100210002002 (base 3) to base 14\nAnswer: 937317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528818 + 0*v**2 + v**2 - 528818.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -108. Let r = 28 - s. Which is the nearest to 1\/3? (a) r (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c - 9. Give u(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 1 a when three letters picked without replacement from {o: 4, w: 2, x: 1, a: 1, p: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11214 equal to 11215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/12 + 2390*n + 2. Let l(a) = 2*a**2 - 6*a + 4. Let d(q) = 3*q**2 - 6*q + 5. Let s(r) = 4*d(r) - 5*l(r). Give m(s(y)).\nAnswer: -4*y**4 - 24*y**3 - 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*m**4 - m**2 + 2738*m + 2?\nAnswer: 204*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/392)\/(4\/(-16))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {c: 5, p: 4, b: 2}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -10. Suppose 0 = 2*b - 0*f - 3*f - 39, 3*f + 27 = b. Suppose a = 4*a - b. Solve -d + 3*d + a = 2*u, -y = 2*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(1\/7)*q**(5\/3) assuming q is positive.\nAnswer: q**(59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1473\nAnswer: 1\/1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 41*l + 86. What is the units digit of w(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.1. Suppose j - 2*l + 9 = 0, 41 = j + 2*l + 30. What is the nearest to 0.3 in j, -1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - j**4 + 2*j**4)*(-3 - 2 + 4) + (-6*j**3 + 4*j**3 + 3*j**3)*(3*j - 7*j - 3*j).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*z = -3*z - 2, l - 14 = -4*z. Let p(g) = -g**2 + 45*g - 422. What is the smallest common multiple of l and p(21)?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3187 + 111734.171.\nAnswer: 114921.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 384087.\nAnswer: 2\/384087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 29 = -4*z, 2*x = -5*z - 1 + 16. Suppose x = -y + 17. Put 4, y, 0.5, 5 in ascending order.\nAnswer: 0.5, 4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmzmmmzmm. Give prob of sequence mmmz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1207\/(-102))\/((-1845)\/18) + (-1)\/15.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-464)\/2*47\/(-2). Suppose 5*b - 27245 = 5*u, -b + 3*u = -u - t. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100120122021 - 11?\nAnswer: 100120122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 78569288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**3 - 2*z + 1. Let x be 6 + -5 - 0\/(-1). Let v be q(x). Let f(l) = l**2 + 7*l + 12. List the prime factors of f(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2 = -3*j - 22, 5*w + j = -30. Let k = 4 - w. Let g be (-243)\/(-7) + k\/35. Calculate the greatest common divisor of g and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 30. Let s be q(13). Suppose 3*z - s = -3*z. Let m(n) = -n**3 + 5*n**2 + 23*n + 10. Let v be m(z). Sort -4, v, -3, 3.\nAnswer: -4, -3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 4*i + 425 = 0. Let w = -97 + i. Put -3, w, -5 in increasing order.\nAnswer: w, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 66?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100111101000 - -100001?\nAnswer: -100100111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 - 7)\/(-4))\/((-2)\/(-26)). Solve 4 = 4*b + 3*c - h, 10 = 2*b + 2*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3935.\nAnswer: 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-159)\/7 + 8757\/695 + 2 + 72\/(-20).\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/11)*r)\/(r**(-7)\/r)*(r*r**3)**(1\/16) assuming r is positive.\nAnswer: r**(383\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.3 (c) -28\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5863822 to 4 dps.\nAnswer: -0.5864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -505 in 8, 18, -10\/137?\nAnswer: -10\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t. Let c(x) be the second derivative of 0*x**3 + 0*x**2 - x + 1\/12*x**4 + 0. Determine c(p(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 93 = 30*v + 75 - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, and 2 d when four letters picked without replacement from bpkqdbdkkppbq.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*l**5 + 66 + 7*l**5 + 7*l**5 + 13*l**5 + (-4*l**2 + 0*l**2 + 2*l**2)*(0*l**3 + 3*l**3 - 5*l**3).\nAnswer: 5*l**5 + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 2*q)*(-10*q**3 + q**3 - 2*q**3) - 2 + 2 + q**4.\nAnswer: 23*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1870 - 1081. What are the prime factors of c?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -7\/6770525?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 204.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33089?\nAnswer: 7, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -16*x**3 + 3*x**2 + 12*x - 15. Let q(z) = -5*z**3 + z**2 + 4*z - 5. Let y(g) = 2*l(g) - 7*q(g). Is y(4) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13448 by 98.\nAnswer: -6724\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - -2. Suppose 3*d = q + 9. Calculate the remainder when 39 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33c478 + -35?\nAnswer: -33c4ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3402)\/sqrt(6))**2 - (-2*sqrt(84))\/sqrt(12).\nAnswer: 2*sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 + 10382*z\/11 - 30948.\nAnswer: -2*(z - 5158)*(z - 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**2 + 225*i - 12. Let u(p) = -26*p**2 - 675*p + 33. Let l(c) = 4*u(c) + 11*v(c). Find j, given that l(j) = 0.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2958 - -1.7958. Which is the closest to -0.2? (a) -1 (b) m (c) -149\/6 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -113\/26, 2, -1\/3, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/36 and 107\/10465668?\nAnswer: 10465668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 381904496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hww when three letters picked without replacement from cwwccchhwwcwwczcwc.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 217, 253, 289, 325, 361, 397?\n\"Answer: 36*b + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31442250 and 20.\nAnswer: 62884500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*b - 3145 - 3302 = 0 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s - 80. Suppose 2*r - 14 = -2*d, -d + 3*d - 19 = -3*r. Suppose 6 = -2*o + 4*p - 2, 16 = d*o + 2*p. Solve -o*w = 4 + s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/3 + 1883*v. Let t(y) = 1120*y**2. Determine t(k(f)).\nAnswer: 17920*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*d**3\/5 + 198087*d**2\/5 + 1089324*d\/5 + 891243\/5 = 0. What is d?\nAnswer: -33009, -9\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 3324*d**2 - 6429 with respect to d.\nAnswer: 8*d**3 - 6648*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**5\/20 - b**4\/3 - 2*b**3\/3 - b**2 - 5*b. Let d be t(-3). Calculate the highest common divisor of d and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*j - 104*j - 55*j**3 - j**3 - j**3 + 0*j**3 + (-j**2 + j**2 + j**2)*(j + 4 - 4).\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*p + 223*p - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(sqrt(425) + 4*(sqrt(425) + 4*sqrt(425)) + (-4*(-1 + sqrt(425)) - sqrt(425)) + sqrt(425)).\nAnswer: -425*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14181380 (base 9) to base 5\nAnswer: 3244140224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 67*o**2 + 69*o + 69. Let b be i(-68). Put 115, b, 5 in descending order.\nAnswer: 115, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 17. Suppose -18 - 77 = q*r. Let y = -17 - r. Which is bigger: y or 6\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozo when three letters picked without replacement from {z: 3, j: 4, o: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01612*54.12.\nAnswer: 0.8724144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Suppose -4*s + 11 = 6*t - 3*t, -5*s + j*t = -37. Suppose 15 = -0*a + s*a. Let n(k) = 4*k - 3. Give n(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -41, -2, 42 in descending order.\nAnswer: 42, 3, -2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9052.96 tonnes?\nAnswer: 9052960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002387252 rounded to 6 dps?\nAnswer: 0.002387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-5)\/2)*(-8)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.25, 4\/5, -58.709?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0*u - 9*u - 4 - 5*u + u**2. Let t be h(11). Is -0.1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*p - 37, -55 = 5*g - 7*p + 2*p. Suppose -4*c - 5*h = -29, 6*c - 2*h = 3*c + 16. Suppose -19 - 23 = c*q. Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52580 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4)*5)\/(1\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 11*l + 2 - l - 8*l. Give u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 537.118 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2615 - 2615 - 3*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27661 and -17?\nAnswer: 27678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, n: 1, a: 5}. Give prob of picking 2 a and 2 s.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-46)*w*w**25\/w*w assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 + 68*q**4 + 92*q**3 - 404*q**2 + 240*q = 0. What is q?\nAnswer: -15, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 98\/36485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**9\/756 - h**5\/40 - h**3\/6 - 2*h**2. Let u(s) be the first derivative of m(s). Find the second derivative of u(a) wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 601*q**2 - 5*q - 3. Is z(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -171. Let k = -131.0087 + c. Round k to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 36*x. Suppose h = -3*h + 16. Suppose v - h = -3*v. Does 12 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35228 divided by -35228\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*b*g*m**3*r + 2*b*g*m**2 - 2*b*g*r + 25038*b*m**3 + 3*b*m*r - b*m + 68782*b + r - 2 wrt m.\nAnswer: 1080*b*g*r + 150228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21604.69*110\nAnswer: -2376515.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35177300 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - 246496383542914 + 246496383542914.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855 (base 12) in base 5?\nAnswer: 201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2976 or -2978?\nAnswer: -2976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319 + 1325. Let b = 1005.99999194 - f. What is b rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0 - 1\/12*p**4 - 1\/120*p**5 + 0*p - 3*p**2 + 1\/6*p**3. Let h(k) be the first derivative of o(k). Determine h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -1.2, -0.64?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1245 and -0.0113?\nAnswer: 0.00140685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218531\/10326 - 6\/1721. Let u be (-97)\/40 - 2*-1. Let n = -739\/120 + u. What is the common denominator of j and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -4*k, 0 = -3*x + 5*x + 8. Let s(n) = -n + 0*n + k*n. Let g be s(-5). Solve 16 = -g*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 10*y**2 - 9*y + 15. Suppose -5*p + 3*p + 28 = 0. Let c = p + -5. Let k be z(c). Solve -4*o + k = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hihkhihhhhkhhhhrihh. Give prob of picking 2 i, 1 r, and 1 h.\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 40*h**2 - 1\/1200*h**6 + 1\/700*h**7 + 0*h + 0*h**3 - 1\/200*h**5 + 0 + 1\/240*h**4. Factor b(r).\nAnswer: r*(r - 1)*(r + 1)*(3*r - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 2*d - d)*(1 - d - 1 - d - d + 0*d + d - 3*d + 3*d + (0*d + 0*d - d)*(-1 + 3 + 0) + 1 + d - 1 + 2*d + 3*d - d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/60 + x**4\/12 + x**3\/6 + x**2. Let b be g(-1). Let r be (-22)\/(-5) - (-4)\/(-10). Solve -4*k + r + 8 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:23 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21051\/799 at most 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*b + 89 + 1, 4*r = -4*b + 120. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**10*f)\/(f\/(f\/f**(1\/15)))*f*f\/(f**(4\/9)*f)*f*f*f\/((f\/(f**28\/f)*f*f)\/f))**(5\/7) assuming f is positive.\nAnswer: f**(1777\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 16 - 29 - 10 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6282 + -6258. What is the remainder when 40 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/20 - m**4\/2 - m**3 - 5*m**2 + 23*m. Give t(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 q when four letters picked without replacement from {q: 3, r: 5, i: 7, a: 3, t: 1}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -259*x + 1749. Let v be r(6). Solve -10 = 3*o + v*m - 196*m, 2*m - 16 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24041 + -168288\/7. What is the nearest to 7\/2 in c, -1\/3, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*s - 2 = 18, -s + 7 = -f. Let o be 60\/18 - 2\/f. Find the second derivative of o*a - 27 - a + 5*a**3 + 27 wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201679 is divided by 816.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 51*w - 259. Let f be d(5). Let k(u) = 6*u**2 + 5*u + 3. Let s(o) = 3*o**2 + 3*o + 2. Let a(c) = 6*k(c) - 11*s(c). List the prime factors of a(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1072\/105 + -333661\/34440. Let g = h - 6\/41. Let r = 186\/7 - 103\/21. Calculate the common denominator of r and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Suppose -27*c + 7*c = 60. Let o = -16.4 - -18.4. What is the closest to o in g, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q = -89*q - 19*q + 2592 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111001110001 + 0?\nAnswer: 1000111001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 6*c = 50 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 128*o**2 - 3479*o + 275. Determine r(151).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/3))\/y)**(1\/32)*y*y**11*y*y**(4\/3))**(-26) assuming y is positive.\nAnswer: y**(-2977\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54, 124, 204, 294, 394?\n\"Answer: 5*g**2 + 55*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-42))\/(-1*2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, h: 3, c: 2, w: 10}. What is prob of sequence hvvh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 28, -69?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/49 + (-3)\/(-7). Suppose y = -h - 3*h + 8400. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**8\/16800 - r**6\/600 - r**5\/150 + 7*r**4\/12 + 3*r. Let l(k) be the third derivative of m(k). Factor l(b).\nAnswer: 2*(b - 2)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 16*o + 2*o)*(4 - 11 + 4 + 3 - 510*o).\nAnswer: 6120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbskksz. Give prob of picking 1 z, 2 k, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494738 is divided by 186842.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 + 101. Let d = -8 + 17. Suppose -5*f - d = -b*f. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/9 - 56*g**3\/3 + 466*g**2\/9 + 180*g = 0. Calculate g.\nAnswer: -2, 0, 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -29*o**3 + 5*o**2 + 5*o - 3. Let s(f) = 10*f**3 - 2*f**2 - 2*f + 1. Give -3*b(p) - 8*s(p).\nAnswer: 7*p**3 + p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x)**45\/(x**6\/(x\/(x**0*x))) assuming x is positive.\nAnswer: x**(183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 4, x: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045055 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(1\/40)*(l**(-2))**46)**(9\/2) assuming l is positive.\nAnswer: l**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 553, 4354, 14673, 34768, 67897, 117318?\n\"Answer: 543*i**3 + i**2 - 3*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 2*m**2 + 2*m**2 - 3*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17*-0.0574\nAnswer: 0.9758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1367086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, q: 1, w: 11}. Give prob of picking 1 q and 1 k.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -131, -185, -251, -329, -419, -521?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 - 3*o**4 + 3*o**4 + (-3*o + 3*o - 2*o)*(6*o**3 - o**3 - 4*o**3).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 462*l**2 - 20*l + 183. What are the prime factors of c(6)?\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4209 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413 (base 13) to base 15.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -60098968.94 from -1094.\nAnswer: 60097874.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.0905\nAnswer: -0.0362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 2055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1841*n**2 + 2 + 4235*n**2 - 3 - 2392*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -94*u - 124. Let f(l) = 213*l + 280. Let p(w) = -4*f(w) - 9*g(w). Let s(x) = x**3 - 3*x**2 + 3*x - 4. Let a be s(3). Calculate p(a).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/3 - 276404*o\/3 + 19099792804\/3 = 0. What is o?\nAnswer: 138202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38228197?\nAnswer: 7, 101, 139, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)\/(s\/(s*s*(s**(1\/3)*s)\/s*s)))\/(s**(2\/3))**(-4)*(s**2)**(3\/28)*(s*s**6\/s)\/((s\/(s\/(s\/(s**(1\/10)\/s*s))))\/s) assuming s is positive.\nAnswer: s**(403\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88923970591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/(2\/12). Suppose 9*s - 12 = 5*s. Let n = -3 + s. Solve n*o = q*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 89301.06 kilometers?\nAnswer: 89301060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 17 = -27 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*f + 3*i - 101, -i - 176 = -5*f. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*i, 0*b - 26 = b + 5*i. Sort -5, 4, b in descending order.\nAnswer: 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367, -363, -359?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 15054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) - (sqrt(1296) + -1*sqrt(1296))) + sqrt(16))\/(((sqrt(72)*2 - sqrt(72)) + sqrt(72) + sqrt(72))\/sqrt(9)).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 616?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34036475519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -144*w**3 - 139*w**3 + 266*w**3 - 4*w**2 - 16*w - 25. Is b(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**4 - 3*z**3 - z**2 + 3*z**4 - z**2 + 4*z**3 + 66 in the form n + k*z**4 + o*z + x*z**2 + l*z**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 3\/7, 0.7, -12, 6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 411 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 10) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + ((1*sqrt(175))**2 - sqrt(175)) + sqrt(175) + (sqrt(175) - 6*1*sqrt(175)) - -6*(sqrt(175) - (sqrt(175) + -1))*1))*-5.\nAnswer: -895 + 125*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9872 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/18*(-6)\/4. Let s = 14 + w. Solve -3*c = -2*q - 4*c + s, -5*q + 16 = -3*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - a = 0, -2*a + 9 = c - 3. Suppose 8*p - c*p - 16 = 0. Solve -p*h = 3 + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.79 - -0.91. Let c = u - 3.70000185. Round c to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Suppose 5*u + 3 - 33 = 0. Suppose -2*o + 10 = u. Let t(s) = 20 + 9*s**o - 20. Calculate t(w(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131992096?\nAnswer: 2, 4124753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-1))\/(2\/(-6)). Let p be d\/(-4) - (-1)\/4. Let t = -13\/40 - -3\/40. What is the second smallest value in p, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84455)\/17703 - ((-12 - (-170)\/(-45)) + 16) - -5?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/(-836))\/((-15)\/6)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743542578 to the power of 1\/2, to the nearest integer?\nAnswer: 41756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-506)\/(-3)*39936\/73216\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 55\/6 (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 1208*b - 37632 = 0. What is b?\nAnswer: 32, 1176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 8*l**2 + 8*l + 15. Let x be g(-8). Let r = x + 68. Calculate the smallest common multiple of r and 5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249133969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 2. Suppose 0 = -3*s - v + 31, -3*s + 3*v = 2*s - 47. Let b = 3 - s. Calculate u(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from dynnbdylykn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/8, 5, -5, 1.8, 37, 22.\nAnswer: -5, -3\/8, 0, 1.8, 5, 22, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85779 and 8119.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156428?\nAnswer: 2, 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 20*u + 1381. Let h be p(-69). Let l = 53\/32 + -793\/672. Is h at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 372144078\/7807 + -47668. Is y smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8198, -8199, -8200, -8201?\nAnswer: -8202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 908*g + 207. Let o be l(-1). Is o >= -699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*p - 2189 + 2717 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/29 - 88\/145. Let q = -19 - -39\/2. What is the third smallest value in x, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3117, -3131, -3167, -3237, -3353?\n\"Answer: -2*i**3 + i**2 - 3*i - 3113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 250, -2, 1\/6, 1\/4.\nAnswer: -5, -2, 1\/6, 1\/4, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/4 + 51*y**2\/2 + 624*y - 1352 = 0.\nAnswer: -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2292 or 2291?\nAnswer: 2291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172023\/20 + 8595. Let r = -38\/25 + 403\/150. Calculate the common denominator of g and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -21*h. Let l be s(5). Let t be (-12)\/8 + l\/(-6). Suppose a + i - 12 + 5 = 0, 2*a + 3*i = t. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -220110?\nAnswer: 220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/24*-22 + -2. Let x = 20.5 - 20.6. What is the third biggest value in b, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 10*r + 4. Let j be 2\/(6\/(-28) + 2\/(-7)). Give c(j).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -91, -88, -83, -76, -67, -56?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -1.5. Let g = -2.7 + 3. Put -5, i, g in ascending order.\nAnswer: -5, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 - 242. Sort 3, j, -2, 2 in decreasing order.\nAnswer: 3, 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -1\/5 (c) -5 (d) 3\/7 (e) 2\/43 (f) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -139691*q**2 + 10284*q - 5142. Let r(h) = -27*h**2 + 2*h - 1. Calculate f(g) - 5142*r(g).\nAnswer: -857*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-27 - -36) + (22 - -13)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -241, 157, 515, 833, 1111?\n\"Answer: -20*w**2 + 458*w - 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**3 - d + 1. Let q be r(1). Let i(t) = -2*t - 4. Let a be i(q). Solve -4*m - a = 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282 - 255. Suppose -4*b + 1121 = 273. Suppose 3*z - 181 + p = r, 2*r = -4*z + b. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 22, 2, -1\/4, 3 in ascending order.\nAnswer: -1\/4, -0.06, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let h(l) = l + 35. Let x be h(q). Calculate the greatest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mms when three letters picked without replacement from asmmmasasaaam.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-335)\/65 + (-2)\/(-13). What is the nearest to -0.2 in u, 0.3, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5, -182065.5, 0?\nAnswer: -182065.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -11. Let f = 183\/4 - 46. Let d = 5 - 5.2. What is the closest to f in d, n, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 13, f: 5}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 5. Let d = -69 + 70. Let s(f) = -f**2 + 1. Give d*m(o) - 4*s(o).\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190 (base 10) to base 6.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -849 - -845. What is the second smallest value in -1\/13, -3\/5, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 158965\/1849?\nAnswer: 158965\/1849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 8. Let w(c) = -c**2 + 10*c - 2. Let a be w(i). What is the common denominator of 78\/a - 2*1 and -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(30*z + 0 + 0) to i*z + v and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azaz when four letters picked without replacement from {z: 2, a: 6, p: 4}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -750366, -1500725, -2251080, -3001425, -3751754, -4502061?\n\"Answer: q**3 - 4*q**2 - 750354*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 75. What is v(-4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1644 divided by -32\nAnswer: 411\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111110010011101100 (base 2) to base 8.\nAnswer: 1762354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -212, -4, -2, 0 in decreasing order.\nAnswer: 0, -2, -4, -5, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43462, 173884, 391260, 695590?\n\"Answer: 43477*z**2 - 9*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 4*w - 740, -w - 247 = -c. What is the greatest common divisor of c and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 254784 and 120192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 = -2*z, -16 = 4*q - 8*z + 3*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*p + p - 4, -5*s = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.097 take away -491561?\nAnswer: 491562.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(300))*-4 + 5*((sqrt(300)*2)**2 - sqrt(300)).\nAnswer: -90*sqrt(3) + 6004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/4 + t**3\/3 - t**2 + 80*t. Let c(v) = 4*v**2 + 0*v + 3 - 3*v + 0*v. Give -4*c(l) - 5*y(l).\nAnswer: -l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 + 0.1. Let a = 17.2 + -17.6. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(-7) - (27 + -24). Which is the nearest to -0.2? (a) v (b) 6 (c) 3\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 10. Suppose 2*f + 25 = 3*k, -x = -7*k + 4*k + 5*f. Suppose 82 = o - k. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -83a3?\nAnswer: -83a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6430.\nAnswer: 2, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 2168. Let o(a) = -12*a + 10853. What is -2*o(u) + 11*t(u)?\nAnswer: 2*u + 2142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*4*3)\/(sqrt(54)\/(2*sqrt(9))) + 2.\nAnswer: 2 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 203159340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14151303 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 tens digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (28 + -30 - (0 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -2*f**3\/3 - 2*f**2 - 5919*f. Let t(c) = c + 1. Give -2*g(o) - 6*t(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -3636.\nAnswer: -3647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 82, 0, -40, -2, -4, -7 in descending order.\nAnswer: 82, 0, -2, -4, -5, -7, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 10 - n + 2*n**3 - 4*n**2 - 13 to the form d*n**3 + o + p*n**2 + g*n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p - 10. Give s(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*c + 0*c - c)*(2 - 5 + 7)*(5*c - 3*c - c)*(20 - 20 - 3*c**2) to the form g*c**4 + a + s*c**2 + j*c**3 + z*c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:02 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + -3. Let w = t - -9.18. Let z = 1.82 + w. Which is the second biggest value? (a) 5 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnntnntntnnnt. Give prob of picking 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 9822?\nAnswer: 88398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3330*r**2 - 998 + 339 - 4031*r**2 wrt r?\nAnswer: -1402*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19766, 19769, 19770, 19769?\nAnswer: 19766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrae when four letters picked without replacement from {y: 1, a: 2, r: 5, q: 2, n: 1, e: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*i + 720*i = 20*i - 11647 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*j + 270935 = 254*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -4, -1\/79, -126\/18997?\nAnswer: -126\/18997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.2. Let g = -1.11 + -2.89. What is the nearest to l in g, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -2306.25488?\nAnswer: 2306.25488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12 and 211\/57420.\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -0.7. Let q = -0.99 - -0.89. Which is the closest to q? (a) -0.1 (b) -4\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(3*p + p + p) + (4*p + 3*p - 5*p)*(-3 + 4 + 1))*(-3 + 3 + 5*p).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, g: 6, h: 2, n: 1, l: 1}. What is prob of sequence lggh?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 7*s. Let v be k(5). What are the prime factors of 10\/v*(-2 + -22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38175574?\nAnswer: 2, 17, 1122811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -27707.78 to the nearest one hundred.\nAnswer: -27700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -22 + 6 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 574 times -3\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 8, z: 5, k: 2, e: 2}. Give prob of sequence ezkk.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwjwjw. What is prob of sequence jw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 308267518*y. Let p(j) = -2*j**2. Give q(p(f)).\nAnswer: -616535036*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38390*f - 18838.\nAnswer: 38390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(-264)*2\/((-40)\/(-18))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - (-1 - 5 - (-5 - 0))) + (-6 - -7).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 9, h: 6, x: 1}. Give prob of sequence xhz.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + r)*(-4 + 5 - 3) + (2*r + r - r)*(2 - 1 + 4) + 2*r + r - 5*r - r + 3*r - 3*r to the form f + d*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766017835?\nAnswer: 5, 11, 73, 101, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -15 - (-18 + 14 + -18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 128*n - 1068. Let z be u(-9). Suppose 2*j = 5 + 3. Solve z*o - 5*v + 14 = 0, -j*o - 4*v - 8 + 0 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1804292656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**4*o + 2301861*f**4 - f**2*o - 4*f**2 + f*o + 12*f - 274*o wrt f?\nAnswer: -48*f*o + 55244664*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -3*m - 2, 3*d + 21 - 46 = m - 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95881 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h + 14. Let v be n(16). Let p = v - -49. Let m be p\/((-3)\/(-3)) - (7 - -40). What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 37 - 14*(-5)\/(-30)*3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 + 6146*f**2 - 6146*f**2.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012269612 to four decimal places.\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**12\/i**(-28) assuming i is positive.\nAnswer: i**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*r + 10, -5*o - 5*r - 20 = -2*r. Let f be (3 + o)\/(5 + -3). Suppose -z = f - 4. Let c(g) = g**2 - 2*g + 1. Give c(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.718831 decades to months.\nAnswer: 1046.25972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 35.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2057)*-6 + 4 + 0 + sqrt(2057) + sqrt(2057))**2.\nAnswer: -880*sqrt(17) + 205716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:05 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -875, -3805, -8687, -15521, -24307?\nAnswer: -35045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.075727720370134 and -0.1?\nAnswer: 0.024272279629866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -382262, 2\/15, -0.2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * 784224\nAnswer: 1646870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 26*f**2 - f - 22. Let h be l(-26). Suppose 0*y - 1092 = -5*i - 4*y, 2*i - h*y - 420 = 0. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -246*c. Let w(l) = -4*l**2. Calculate w(a(x)).\nAnswer: -242064*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.0805 - -15. Round k to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**15\/(g**0*g)**(-21))\/((g**4*g**(-2))\/(g**(-5)\/g**(-1\/8))) assuming g is positive.\nAnswer: g**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6905 is divided by 448.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 37458716.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = u + 32, 5*u + m = 667 - 638 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjvj when four letters picked without replacement from {b: 1, v: 4, j: 2, m: 2}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25088408 - 154.3.\nAnswer: 25088253.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 2:51 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/30 - -2\/15. Let f = 36 - 33. What is the nearest to d in 1, f, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Suppose -5*d + 3*q + 13 = q, -d + 4*q - 1 = r. Let m be (-15)\/(-2)*(d + -1). Solve 4*b - m - 6 = -x, -5*b = -5*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-11))\/(22 + (-4579)\/209). Solve -2 = c*u - 3*r + 10, 4*u + 4 = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 17. Let w be (0 - 5)\/(0 + 1). Let r be g(w). Suppose -r*m = 3*j + j - 10923, -3628 = -m + 3*j. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3459095 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fddd when four letters picked without replacement from {f: 2, d: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 v when four letters picked without replacement from {v: 2, o: 7, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1832, -8, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5 = 17. Calculate the remainder when 18 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3147402 and 7802?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3341 + -3.4341. Let l = -46\/3 - -16. What is the nearest to j in l, 2, -6.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 185*r**2 - 222. Let z(t) = t**2 - 1. Determine o(g) - 222*z(g).\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*(39 - 1). Suppose -2*l - 2*z - z + g = 0, -5*l + 80 = z. Suppose l = 5*x - 78. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8178307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2006, 2004, 2002, 2000, 1998?\n\"Answer: -2*q + 2008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*k = -20, -188*b - 3*k + 32 = -193*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2645262006 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6564, 6738, 7224, 8178, 9756, 12114, 15408, 19794?\n\"Answer: 26*q**3 - 8*q + 6546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 5*l + 2. Suppose -4*q - 4 = -c - 2, 3*c + 4*q + 42 = 0. Let k = c - -5. What are the prime factors of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + 3*sqrt(1053) + 0) + ((sqrt(65) + (sqrt(65) - (sqrt(65) - -2*sqrt(65))))*5)\/(3*sqrt(125)).\nAnswer: -163*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7088815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 - 48. Calculate the remainder when o is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002820531 to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*8*(-6)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8180 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k = 420. Suppose 6*w - k = 4*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2. Let g(b) be the first derivative of 2*b**3\/3 - 3. What is j(g(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -491 and 0.1?\nAnswer: 491.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.59532 - 10.59. What is c rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 483 + -478. Solve -5*o = m*q - 25, 3*q - q - 10 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -77*o**2 + 7864*o - 1020. What is i(102)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-27))\/((-1)\/((-27)\/18))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1311 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 120, -36 in ascending order.\nAnswer: -36, 32, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2106 and 2.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.41 - 0.01. Let o(x) = -4*x**2 - 67*x + 14. Let c be o(-18). Let u = c + 76. What is the closest to u in 2\/3, b, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -263 - -265. Let c be 6\/(-15) - (-6)\/40. Sort f, -3, c in descending order.\nAnswer: f, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Let m = -20 + 23. Factor 0 + 2\/3*a - 2\/3*a**4 + 2\/3*a**t - 2\/3*a**m.\nAnswer: -2*a*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 36 = 4*y - 10, -32 = -2*x + 4*y. Let l be -402 - (-3 - (2 - x)). Let t = 747 + l. What is t rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k*(k\/(k\/(k**(2\/3)\/k)))\/k)\/k*k)*k**5*k)\/(k**(-1\/4)*k*k**0*k))\/(k\/(k\/k**0)*(k*k\/(k\/k**(-1)))\/k)**(-38\/3) assuming k is positive.\nAnswer: k**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2, -j - j + u = -6. Suppose -3*y + n + 34 = j, 2*y + 3*n = 3. Calculate the lowest common multiple of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (578600\/(-165))\/(-263)*(-24)\/10*-1\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*w = 18, 0 = -19*y + 14*y + 5*w + 35. Calculate the smallest common multiple of y and 5 + (0 + 4)*1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-20 + -7 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -9, -111*g + 116*g - a - 88989 = 0. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*(11 + 4 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 25*z - 26 = 27*z, -3*m + 4*z + 24 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80626\/(-10) + (-6)\/15. Let s = a - 17062. Let r be (40\/(-3))\/(5\/s). Round r to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101 - -101111?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -1, 1, 347 in ascending order.\nAnswer: -1, -0.06, 1, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2a5b4 (base 14) to base 4\nAnswer: -121233002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 3*g = 7*v - 16, 5*v - g = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 476423579 to the nearest integer?\nAnswer: 21827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-199485)\/(-5265) - 76\/2)\/(2\/8*5)\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let p(c) be the third derivative of 19*c**6\/180 - c**4\/24 - 7*c**3\/2 - c**2 - 83*c. Let t(v) be the first derivative of p(v). Determine t(j(z)).\nAnswer: 38*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 + 147. Let x = 70 - z. Solve x*i + 17 + 8 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/24 and 71\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 1 + 4*n**2 + 12*n**2 + 2*n**2 - 2*n. Determine z(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 3*y**5\/40 + 2*y**4\/3 - 4*y**3 + 3. Let f(u) be the third derivative of p(u). Does 4 divide f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from dfdofmfffffphm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*g**4*w + 9*g**2*w - 10*g**2 wrt g?\nAnswer: 3168*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 28*a + 298*a + 2 - 1 - 265*a.\nAnswer: 61*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.06 + -0.06. Let d = 4 - n. Let t(z) = 4*z**2 + 5*z + 6. Let q be t(-1). Put q, d, 0.5 in ascending order.\nAnswer: d, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 4. Let s be v(4). Suppose -3*c + 5*c - 8 = s. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/3 + 1977364*n\/3 = 0. Calculate n.\nAnswer: -988682, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllullu?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 18*v**2 - 17*v - 1. Let z be q(-17). Let t be ((-1)\/(-3) - 1) + 0. Let y = 0.3 + -0.4. What is the nearest to t in y, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5 - 3*z**4 - 15*z**3 + 15*z**2 + 12*z - 12 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -34) + (-21917)\/589 - -1?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 3}. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8) + -1 - (-6 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11223030123 (base 4) to base 3\nAnswer: 2210120122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 527163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1382 and 2.\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10507*s**3 + 10503*s**3 - 29*s**2 - 21016*s**3 - 3 + 18*s**2 + 11*s**2.\nAnswer: -6*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-4*sqrt(11)) + (-1 + sqrt(175))**2 + sqrt(7) + 5.\nAnswer: -37*sqrt(7)\/4 + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let q(l) = 37*l**2 - 30*l**2 + 40*l**2 + 16*l**2. Give d(q(u)).\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.046\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24.3, 3, -1\/6, -4?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115223.\nAnswer: 115223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5369 = -27*c + 5855 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908 - 1817 + 903 - 617*w.\nAnswer: -617*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 98 = j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 232356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 630 - 111*c - 316 - 314 to the form a + f*c and give f.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28747 and 23579.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -r, -3*r + 9 + 1 = -4*c. Let k be ((-2)\/(-2))\/((-1)\/(-3)). Suppose -5*v - 9 = -29, k*q + r*v = 23. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + 0) - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-135)\/(-40))\/((-1803)\/(-84) + -22)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**4\/12 + 2*y. Let c(m) be the second derivative of 7*m**4\/12 + 22*m. Give c(h(k)).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 16*i**2 - 6*i + 26. Let n be (9\/(-15))\/(14\/(-350)). What is the units digit of w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2013*b**3 - 11*b**2 - 11*b - 11. Let t(q) = -502*q**3 - 3*q**2 - 3*q - 3. What is -11*t(i) + 3*z(i)?\nAnswer: -517*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -14. Suppose l - 5*q + 3 = -i, -2*q = 3*l - 55. Calculate the remainder when 27 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/6, 0, 2125391?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -5, 1 in increasing order.\nAnswer: -8, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s. Let w be c(1). Let l = -285 - -287. Suppose 3*u + 4*n - 48 = -w*u, -4*u - l*n = -54. What is the remainder when 70 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -647, -962, -1273?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = -0*f - 5*v, -2 = 5*f + v. Differentiate 6*m - 22*m + f*m - 12*m - 51 with respect to m.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112 + -202200210112?\nAnswer: -202200112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n - 4. Sort 1, n, 2 in increasing order.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:32 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1780\/7 - -254. Let i = -523 - -520. What is the nearest to -1\/3 in i, -1\/8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 96. Suppose -3*t - 4*l + 24 = -0*l, -5*t + 54 = 2*l. Calculate the remainder when j is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 2, m: 2, u: 3, f: 9}. Give prob of sequence gm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8058, -16187, -24316, -32445?\n\"Answer: -8129*x + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7050, 15233, 23416, 31599, 39782, 47965?\n\"Answer: 8183*y - 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 - 27?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 1, y: 2, p: 2, l: 2, e: 1}. Give prob of picking 1 r and 2 p.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-72)*348\/(-188848))\/((-3)\/33)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2691381657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) 2\/9 (c) -1\/6 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 3*i - 768 = 0. What is the greatest common divisor of 48 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*l - l. Calculate the smallest common multiple of 42 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 16, 23, 32, 43, 56?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 36 + 84 = 0. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 4*f + 15. Let i be d(7). Suppose i = z - 30. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-18)*(-10)\/(-50)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10295033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/147 (b) 2 (c) -3 (d) 0.01 (e) 14 (f) 2\/1439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -45. Solve 3*r = i*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3516 and 60.\nAnswer: 17580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 66*q**3 - 17*q**3 - 22*q**3.\nAnswer: 27*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1469 at most -1454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 11. Let z = -135 + 1217\/9. Which is the second smallest value? (a) z (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -4\/75438871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*i + 25 - 0, -17 = -i + 5*b. Let j be 1\/((15\/i)\/5). Suppose -j*f = -0*f - 100. Solve -6*c + c = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) -85 (d) 19 (e) -3.7 (f) 0.3 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1241 (base 5) to base 6\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14112 divided by -1.\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.161684, 1\/4 in increasing order.\nAnswer: 0.03, 0.161684, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (-2 - 1) + (34 - 26 - 2).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 18*a**3 - 5*a**2 + 48. Let z(q) = 21*q**3 - 6*q**2 + 47. What is -6*s(w) + 5*z(w)?\nAnswer: -3*w**3 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d - 36 = 0. Let b = d + 27. Solve 2*q - 2*a = -a - b, 5*a - 1 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + -5*(sqrt(1053) + 2) + sqrt(117)\/(sqrt(81)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: -125965 - 2200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 1 + 0 - 2 - 2*b. Let d be y(2). Let s = -8 - d. Solve -4 = -g + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + u = 21, 4*u + 19 = 3*p + 3*u. Suppose 22 = k + 4*h, -14 = -7*k + p*k - 5*h. Calculate the remainder when 23 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68687 = 611*x - 9420 for x.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15915 + -14186. Calculate the remainder when i is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 2*r + 11, -8*r + 4*r = 3*t - 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 922.38 - 938. Let z = 0.38 - f. Let m = -16.4 + z. Which is the nearest to 0.3? (a) 5\/4 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*q - 1 + 6 = 0, m + 2*q - 4 = 0. Let n = 5.04 - 2.04. Which is the third biggest value? (a) n (b) -1 (c) 5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80) + 5 + sqrt(10)\/sqrt(2))*2)**2 + (sqrt(40)\/(sqrt(2)*-1))\/(sqrt(40)\/(sqrt(10)*1) + sqrt(4)).\nAnswer: -561*sqrt(5)\/2 + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*-4*16 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 0)*(-i + i - 2*i**4) + (-17*i**2 + 0*i**2 + 6*i**2)*(46*i**2 + 6*i**2 - 2*i**2) in the form d*i**4 + v*i**2 + t + b*i + f*i**3 and give d.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -97962 = 2\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 3 + l - 4*l**2 - 1 as n + r*l + h*l**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:49 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14, 1\/7, -868, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xacz when four letters picked without replacement from {c: 1, z: 6, a: 1, x: 5, k: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 18. Put 2, 1, -3, a in decreasing order.\nAnswer: 2, 1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 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: Find g, given that 28*g**5 - 75816*g**4 + 50930664*g**3 + 529781888*g**2 + 1440023580*g + 369376200 = 0.\nAnswer: -5, -2\/7, 1359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-39)\/(-1))\/13 - -375. Calculate the highest common factor of u and 630.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiijjjjjmjjjvmeiji. What is prob of sequence eimj?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(7) + 1) + sqrt(7) - 4*sqrt(7)*-1) + (sqrt(42)\/sqrt(2))\/sqrt(3) + 2)**2.\nAnswer: 64*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/7195 + 187088\/64755. Let g(b) = b**2 + 10*b + 12. Let l be g(-9). Let o = x - l. What is the nearest to o in 1\/3, 0.4, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127088549 to the power of 1\/2, to the nearest integer?\nAnswer: 11273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from zznnmmzpaznz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(2 - 2 - 19)*(-14*x + 6*x + 2*x).\nAnswer: 228*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - (-18)\/14. Let v = k + 3. Find g, given that -g**4 - v*g**2 - 1 - 5*g**2 - 7*g - 5*g**3 - 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 20 = 3*d, 0*n - 3*n = 3*d. Suppose -d = 4*k - 20. What is the greatest common factor of k and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39586.38338 + -39585. Let s = -71.64562 - d. Let f = 73 + s. What is f rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5062 is divided by 201?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706, -768, -830, -892, -954, -1016?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(-3) + (2 - (-1)\/(15\/(-20))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j - 5*j. Let h(u) = u + 31 + u**2 + 28 + 60. Is h(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/13 - -4\/39. Which is the smallest value? (a) x (b) 27 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of ((210906\/(-33))\/(76\/(-209)))\/((-3)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -33857*x - 22988901. Calculate y(-679).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 67. Let h be r(-7). Solve 28*m + 20 = h*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42605325 a multiple of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0*b**3 + 0 - 1\/8*b**4 - 4*b**2 + 0*b. Give q(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -97, -93, -89, -85?\n\"Answer: 4*j - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1802*r + 95798 = 1431*r - 712*r for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = -2*q. Let i(a) = -a**3 - 10*a**2 + 4*a + 1. Let w be i(q). Let c = -31 - w. Is 6 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 11*o - 8. Let g be x(-10). Suppose 40 + 94 = g*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000176 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 43, 2\/139, 1, 2\/21, 2\/3?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -18.1. Let w = -0.03 - 4.97. Let l = w - -3. What is the nearest to b in -4\/5, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/3 - 11 - -35.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*f + 4, 0*f + 3*f - m + 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 2\/595 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t + 24. Suppose -t = 3*g - 4*g. Find the third derivative of 31*l**6 - 28*l**g + l**2 + 2*l**2 wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 20 = v. Suppose -2*k + 22 = 2*y, 4*y - 100 + 70 = -2*k. Solve 4*m + k = 5*t, 8*t = m + v*t + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17637298*l*u**3 - 22061103*l*u - 2*l + 8*u**4 wrt u?\nAnswer: 105823788*l*u + 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + -1 + sqrt(288) + 6*-1*sqrt(288) - (-2 + sqrt(288)*2 + 2*((sqrt(288) + -1)**2 + sqrt(288) - sqrt(288)))) + -1.\nAnswer: -572 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 4. Let c be b(7). Let n = c - 1. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*a + 100 - 304 = -296*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-8)*2)\/(5\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n - 2877 + 5369 = 0. What is the remainder when 331 is divided by n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*d + 6*d**3 + 618*d - 2*d**2 + 2*d**2 - 1129*d.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 15*c**2 - 18*c + 38. Calculate i(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -579485224750.\nAnswer: -579485224750.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2. Let v(m) = m**3 + 6*m**2 - 1. Let c be v(-5). Suppose -25*r + 22*r = -15, 0 = -x - r + 16. Let o(y) = x*y - 4*y + c*y - 6*y. Give n(o(j)).\nAnswer: 1250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-132)*-2)\/(1768\/(-884)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (0 + sqrt(153))**2).\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10234076.80300924 - -10268195.41301. Let l = 34119.03 - c. Let h = l - 0.42. What is h rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -4 - (2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -660*s - 3948. Let w be v(-6). Calculate the greatest common divisor of w and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*d = 49*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - ((-65)\/110 - -1) and 43\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-836)\/110 - (-2)\/(-5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 17*n**2 - 472*n - 7833. Determine o(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (317*f**2 + 2652*f**2 - 1449*f**2)*(-4*f + 0*f + 5*f)*(-3 + f + 3) to the form y*f**2 + s*f**3 + t*f + c + w*f**4 and give w.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)\/r*r\/(r**(-2\/5)*r))\/(r*r**(-4\/5)*r*(r*r**(-1\/2))\/r*r))\/((r**(2\/7))**(9\/8)*(r*r*r**(1\/4)*r)**37) assuming r is positive.\nAnswer: r**(-9091\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.755 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + t + 27. Let d(o) = 3*o**2 + 3*o + 54. Let r(f) = -3*d(f) + 5*z(f). Let h be r(8). Suppose a = 2*w - 12, w = 3*w - 4*a - 12. Is w != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -100 - 95. Find the common denominator of u\/(-22) - (-12)\/(-66) and 5\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269 + 269. Solve 0*c - 2*y = -4*c - 8, j = y + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 126824611 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2198.2 + -2198. Suppose 2*j - j = -4*h - 6, -j = -5*h - 3. Which is the closest to h? (a) -1 (b) 11\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/85200 and -93\/2500?\nAnswer: 2130000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:34 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 9*d**2 - 2*d - 13. Calculate t(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 3*t - 3*t + t + 3*t - t + (0 - 4 + 2)*(-2*t - 2*t + 2*t) + 3 - 2*t - 3 - t - t + 3*t)*(3 - 2 + 0).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = -3*y - 575. Suppose 19*j = 2*n + y*j + 12, -23 = 3*n + j. Sort -2, n, 22 in ascending order.\nAnswer: n, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 102*l + 100.\nAnswer: 2*(l + 1)*(l + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 6*h + 38. Give j(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1784*l = -1089*l + 25020 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764*o + 1209 - 1209 - 1099*o.\nAnswer: -1863*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5677 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m. Let a(w) = -259*w**3 - 178*w**2 + 6*w. Let n(s) = a(s) + 6*b(s). Find the third derivative of n(y) wrt y.\nAnswer: -1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 + 310 = -87*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3 = 7, 2*v = -4*j - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11766529 - 0.09?\nAnswer: -11766529.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f + 84. Let n(m) = -m - 1. Let s(c) = -12*n(c) - z(c). Let p be s(-8). Let i = -6 + 11. Solve 5*k = -i - p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**24\/h)\/(h*h**(-1\/18)))\/(h\/h**7*h\/h**(5\/9)) assuming h is positive.\nAnswer: h**(497\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**2*y**4 - 5*i**2*y + 117719*i**2 + i*y + 15199*y**3 wrt y?\nAnswer: 132*i**2*y**2 + 91194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26592 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*v - 4, 0 = -5*f - 9*v + 6*v + 4. Let y = -1.38 - -1.3. What is the fourth biggest value in -7, f, 3, y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134)\/((-12)\/(-44) + 15\/((-495)\/(-57))).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rgr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 37472*r\/3 + 351037696\/3.\nAnswer: (r + 18736)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -120028, -239230, -358430, -477628, -596824, -716018, -835210?\n\"Answer: c**2 - 119205*c - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-16))**(-50))**(-4\/33) assuming h is positive.\nAnswer: h**(-3200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/(-5) + (-7)\/(-35). Let g = v - 6. Let p = g - -18. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1070 + 329. Does 83 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2213 - 48671\/22. Let o = 3\/44 + q. Which is the second biggest value? (a) 3 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-77)\/(-66))\/((-2)\/12*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0 = -3*d + 2, 1 = -t - 2*d. Let q be (-10)\/(-4)*(t + 1). Suppose -4*u = -0*u - 180. Calculate the greatest common divisor of u and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, -114196 in descending order.\nAnswer: 12, -1, -114196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40, -195, -454, -817, -1284, -1855?\n\"Answer: -52*d**2 + d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + 1 + sqrt(220)\/sqrt(5)).\nAnswer: 30 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -243100 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111\/4900 + 51\/350. What is the common denominator of u and -97\/28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -4\/566985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 67, -50, -209, -404, -629, -878?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n - 3*n - n**2)*(-3 + 0 + 2) + 105*n**2 + 45*n**2 - 293*n**2)*(n + n - n).\nAnswer: -142*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 734*o**2 - 34*o**2 - 387*o**2 + (-2*o**2 + 4*o**2 + 2*o**2)*(2 + 2 - 6).\nAnswer: 305*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -32*s + 29*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64.83, 10, -3\/5.\nAnswer: -3\/5, 10, 64.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 3*z**2 - 2*z - 6. Let t be a(5). Find the first derivative of -3*y + 35*y**3 + 3*y - t*y**3 - 41*y**3 + 219 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/312*(-18)\/(-3)*-8*1\/(-80).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than -7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287484.\nAnswer: 2, 3, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 3906*d + 3905.\nAnswer: (d - 3905)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262456 divided by -1.\nAnswer: 262456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 22 = -69 - 162 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {u: 2, t: 2, n: 1, h: 2, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436497 is divided by 125?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**3 - 204*m**2 - 4675*m - 193350. Give d(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 83*m**3 + 17*m**3 - 45*m**3.\nAnswer: -109*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = -10. Suppose w*r = -4*i - 54, 5*r - 7*r + 5*i = 48. Let b be 40\/70 + (-6)\/r. Solve b = a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + g + 547, -2*g + 674 = 5*w. What is the greatest common factor of w and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93220898 to the power of 1\/3, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2 + 1)\/((-24)\/(-32))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2 = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:37 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -2 - 1\/(3\/(-9)). Suppose 3*x + 3*s - 3 = 0, 4*x + 3*s = q*s - 2. Solve 0 = 3*p - x*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 125*a**4\/6 + 355*a**3\/2 - 783*a. What is the second derivative of l(h) wrt h?\nAnswer: 500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 1783 (c) 1 (d) -1 (e) 1\/2 (f) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + 126 + u**2 + 14*u**3)*(-52 - 4*u**2 + 52) - 4*u**5 - u**5 + 4*u**5 + (0*u**3 + 0*u**3 + 2*u**3)*(0*u**2 + 4*u**2 - 5*u**2).\nAnswer: -59*u**5 - 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36 - -b?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0*t + 2*t**2 + 20 - 77\/12*t**4 - 179\/6*t**3 - 1\/30*t**5. Differentiate s(d) wrt d.\nAnswer: -4*d - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -80. Let d be (-3 + 28\/f)*0. Let n = 67 - d. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 11*u**2 + 10*u + 3. Let v(j) = 2*j**3 + 22*j**2 + 20*j + 6. Let b(d) = -7*o(d) + 4*v(d). Is 23 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -713 + 709. Calculate the remainder when 302 is divided by k\/18 - (-6 + (-828)\/81).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 9*b + 16*i = 21*i + 112, 0 = -2*b - 2*i - 56 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 404502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11336619 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*w - 5*b, 17 = 3*w + 3*b + 83. Calculate the common denominator of (6\/(-9))\/(w\/(-294)) and -7\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**5\/6 + 19*s**2 + 2. Suppose -6 = -b + 5. Let d(r) = r - 14*r**2 + b*r**2 - r. Determine i(d(l)).\nAnswer: 90*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17033181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 - 96 = 13*i. Let w(y) be the second derivative of 7*y**4\/12 - y**2\/2 - 3*y. Let p(u) = 6*u**2 - 2. Let k(v) = 2*p(v) - 3*w(v). What is k(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3267 or -14935.6?\nAnswer: -14935.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzwzzzzzzzzzzzzz?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 193231999 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 h(g) = 21*g + 161. Give h(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25723, 51441, 77159?\nAnswer: 102877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14986*s - 458055 = -4807*s for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -834, -1686, -2828?\nAnswer: -4260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (96\/(-60))\/((-32)\/2920) is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 3*a**2 - 4*a - 2. Let f be y(-4). Let q be f\/2 - (-11 - -4). What is the tens digit of (-129)\/(-9) + 4\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7157 - 346 = 93*b + 30*b for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1 - 1\/(-3). Let r = -931.5 + 932. Which is the closest to -2? (a) 5 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 101654413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76065495 divided by -2305015?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(2\/5)*y**(-3\/2)*(y\/(y*y*y**0))**(3\/4) assuming y is positive.\nAnswer: y**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/29237 and 54\/169?\nAnswer: 29237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4950589?\nAnswer: 7, 23, 97, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1101.034744 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 537 - 535. Let l(f) = f**3 + f - 1. Let w(i) = -4*i**3 + i**2 - 2*i + 2. Calculate m*l(b) + w(b).\nAnswer: -2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70, 154, 252, 370, 514, 690, 904?\n\"Answer: g**3 + g**2 + 74*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 56*u + 549. Let d be r(-10). Put 5, d, 4, 0, 1 in increasing order.\nAnswer: d, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.402012 kilometers to micrometers.\nAnswer: 3402012000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11\/44 + 143\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a*j*n*w + 2*a*j*w - 4*a*n*w**2 + j**2*n*w**2 + 6*j**2*n*w - 968*j**2*w**2 - j**2*w + 110*j*n*w wrt w.\nAnswer: -8*a*n + 2*j**2*n - 1936*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 2:18 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 12)*(9 + -862*3\/294). Suppose -10\/7*u**3 + 2\/7*u**4 + y*u + 10\/7*u**2 - 12\/7 = 0. What is u?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:06 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.3. Let t = -966.21 + 931.21. Is x at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:33 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 6802\/754)*13494\/(-4152)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/11)*s*s*s\/(s*s\/s**(3\/5)*s*s)*s*(s**1\/s)**40 assuming s is positive.\nAnswer: s**(23\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -1, 2*t - 14 = -2*l. Suppose -15 = 3*h, 3*n - t*h + 1 - 36 = 0. Calculate the greatest common divisor of 95 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93304\/5*k - 2\/5*k**3 - 183184\/5 - 172*k**2.\nAnswer: -2*(k + 2)*(k + 214)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = l - 6*l, -l - 19 = -5*p. Suppose y - h - 17 = -5, p*y = 2*h + 40. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 967\/(-5) - 1. Let j = 194 - l. Let c = 0.06 - -2.94. Sort -0.4, c, j in increasing order.\nAnswer: -0.4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-1)\/o*o))\/o)**(-1\/11)*o**(-6)\/(o\/(o*o\/((o\/o**(-2\/19))\/o))) assuming o is positive.\nAnswer: o**(-1048\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 69003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18 - 10) + (0 - 15). Let w(b) = -b**2 - 6*b + 10. What is w(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/7, -1\/7, -4, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17984 divided by 2248.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 862\/(-12) - 7\/42. Let z = u - -100. Suppose -2*k + p + 40 = 0, 0 = -3*k + p + 41 + 20. Calculate the greatest common factor of k and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.2936389 to zero dps.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321695553.\nAnswer: 3, 41, 59, 97, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (70 - 32) + (-1 - 16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h\/(h*h**(-8))*h))**(-2\/51)\/((h*h**(-25))\/h*h)**39)**(-44) assuming h is positive.\nAnswer: h**(-2101264\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120 - (155 + -38))\/(1\/29).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 1.41?\nAnswer: -0.0846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9093 - -9163. What is the remainder when 13647 is divided by r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r - 8 - 48 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2888 - -2907 - (4 - (1 + -1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, 0.3, 5, 0.1, -2, 31.\nAnswer: -220, -2, 0.1, 0.3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by ((-376)\/18 + 4\/(-36))*-1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Let r(o) = 21*o - 1. Give -5*m(x) + r(x).\nAnswer: 16*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 1 + 3. Suppose 7*y - 37 = -9. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 192200248 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -18*s + 57. Let o be b(3). Solve 5*i**4 + 13*i**o - 103*i**3 - 16019 + 16159 - 360*i + 305*i**2 = 0.\nAnswer: 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -41, 2.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612249081?\nAnswer: 3, 1823, 111949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 404\/(-8). Let p be (-20)\/i*10\/(-8). Put 0.1, -1, p in decreasing order.\nAnswer: p, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4, -3*r - 5*d + 33 = -8. Let w = 5 + 8. Let y = r - w. Solve -6 - 10 = -y*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 17. Let o be (7 - 1) + (2 - 3). Suppose -2*j - 5*s + 20 = -8, -j = o*s - a. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -220*k**2 + 32*k - 100. Let d(n) = 20*n**2 - 3*n + 9. Let y(w) = -32*d(w) - 3*t(w). What is the derivative of y(s) wrt s?\nAnswer: 40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1380\/650)\/(1\/(-160)). Let f = 86903\/260 + t. Find the common denominator of 141\/36 + -1 + -1 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2 + 5. Let p be (-166)\/6 - (-1)\/h. Let b = 64 + p. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/(-6)*134*(-912)\/(-1018400)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9175353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 6*b**2 + b - 7. Let t be m(6). Let r(s) = -88*s**2 + 2*s + 1. Let a be r(t). Let p = -45 - a. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 7*s + 7*s)*(0*s + s + 0*s)*(0*s + 6*s - 4*s).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1562730 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 168*j**2 - 7050*j - 217. Determine h(81).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/13 - 20090\/(-65). What is c rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 23*r + 8. Let j = -134 + 136. Let b(p) = 8*p + 27. Let l(w) = 2*w + 9. Let t(u) = j*b(u) - 7*l(u). Give t(r).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(-1*1*sqrt(1539)*-5)**2.\nAnswer: -461700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4787851000 to the nearest 1000000.\nAnswer: 4788000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.07 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:05 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-9) + 160930\/(-57750)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*h + 3*a, 0 = -5*h - 2*a + 55 + 24. Suppose 5*t = 8*t + 6. Let x be t\/(-4) - 9\/(-6). Solve -h = 5*w - x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 200485\/12 + -16695. Calculate the common denominator of -81\/8 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 8:03 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58347 and 0.1.\nAnswer: -5834.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 0.02 (b) 5 (c) -0.1 (d) -3\/8 (e) -3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 86?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -422986 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(-4 - (-565390)\/141351) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from {o: 4, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(26)\/(sqrt(14)\/sqrt(7)) + 2)**2.\nAnswer: 24*sqrt(13) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005382 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34654779.\nAnswer: 3, 73, 52747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 2 a when four letters picked without replacement from qcagqmawwqa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/6*((-2)\/(1*6))\/(2688\/(-24192))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/500 and -41\/1044320.\nAnswer: 26108000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-1*((-1610)\/(-28))\/(-23). Solve 7*t = -g*t + 36 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91871 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1573*q = -1570*q - 24, -2*d + 2*q - 10 = 0. Solve 2\/3*a**5 + 4*a**2 - 16\/3*a**d + 14\/3*a + 0 - 4*a**4 = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13295.2 rounded to the nearest 100?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13*c**2 + 177*c + 111. What is x(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7800, -7797, -7792, -7785, -7776?\n\"Answer: y**2 - 7801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 12*s**2 - 12*s + 15. Let y(h) = h**2 - 9*h + 1. Let p be y(7). Calculate f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1049714970 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 343*y**3 + 2393*y**2 - 59*y + 9. What is p(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 26 (b) 2\/7 (c) 2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*k - 1 + 2*k**2 + 1 - 508*k.\nAnswer: 2*k**2 - 648*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 6. Suppose 91 = 2*n + s + 29, -n - 5*s + 13 = 0. Calculate the highest common factor of n and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1092513 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 7:37 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/40 of a litre in millilitres?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 3) to base 15.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 864348*o**3*s**2 + 4*o**3*s + 3*o**2*s**2 + 4382604*o*s**2 wrt o?\nAnswer: 5186088*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose -3*t - 19 = 2*l - 0*l, 4*t + 16 = 2*l. Suppose 2 = -4*o + 6. Put t, j, o in descending order.\nAnswer: j, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*i + 3*i = -675, 2*k - 4*i = -354. Let b = k + 351. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -28 (c) 5 (d) 1\/9 (e) -2\/37 (f) 0.0559\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -115.2 and -12626.\nAnswer: 1454515.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/10)*i*((i*(i*i**(1\/3))\/i)\/i)\/i*i)\/(i**1)**(-41))**48 assuming i is positive.\nAnswer: i**(10136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {m: 1, f: 2, s: 6, t: 3, z: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 5. Let c be (-3 + 2)\/(1\/9). Let q = 424 - 428. Let y(o) = o - 2. Determine c*y(h) + q*l(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2703885 + 6*x + 2703885.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9508 - 17362789.42?\nAnswer: -17353281.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/4 - 3*c**2\/4 - 5*c\/2 = 0. What is c?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57 and 24572152.2.\nAnswer: 24572095.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*g + 8, 4*g - 2010 = -1990. Suppose 6*h = 4*k + 3*h - 65, -4*k - 3*h = -71. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53661851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 587172 and 2338.\nAnswer: 4110204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 91\/(-26) - (-2 + (-464779)\/(-14)). What is n rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**4 - 33*u**3 + 45*u**2 + 196*u + 114. Let c(a) = -2*a**4 - 32*a**3 + 44*a**2 + 196*a + 114. Let q(t) = 3*c(t) - 4*s(t). Factor q(b).\nAnswer: 2*(b - 3)*(b + 1)**2*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r + 36. What is w(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**13*l)\/l)\/l)\/l)\/l)\/((l*l**(1\/3)\/l)\/l)*(l*l**(-1\/4)\/l*l)**(5\/11) assuming l is positive.\nAnswer: l**(1453\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2783*o**2 + 7*o - 17*o - 6 - 2778*o**2. Let k(s) = -3*s**2 + 5*s + 3. Let w(j) = -7*k(j) - 4*r(j). Calculate w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4475543 is divided by 497280.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -30.2\nAnswer: 90.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + v + 5 = -2*j, 4*v + 18 = 3*j. What are the prime factors of j*(1 - (-5)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 4, y: 7, t: 1, g: 3}. Give prob of picking 1 g, 2 t, and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c841 - -2?\nAnswer: 1c843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upuuuuuupuu. Give prob of picking 2 p and 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2. Let t be 12\/54 - (-2)\/(-9). Let c(h) be the second derivative of 2*h - 1\/12*h**4 + 0*h**2 + t*h**3 + 0. Calculate b(c(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Let n(z) = 9*z + 5. Let a(o) = 4*o + 2. Let c(f) = 5*a(f) - 2*n(f). What is l(c(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1316*t - 294*t + 170*t as u + p*t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84252, 84253, 84252, 84249?\n\"Answer: -z**2 + 4*z + 84249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/6 (b) -43 (c) 2\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + 0.4. Let d = n + 0.5. Let o = d - 0.3. Is o smaller than 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -379991.7 - -7.3457.\nAnswer: -379984.3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 - 5*h - 9. Suppose -2*m + 25 = -4*m - 3*f, 5*m - 3*f + 10 = 0. Let z(b) = 2*b**3 + 3*b + 5. What is m*z(i) - 3*d(i)?\nAnswer: -i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.22024 years in months?\nAnswer: 1130.64288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tohhhtthooxohooooott. Give prob of picking 2 t.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -15421.\nAnswer: -1\/15421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62314169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-280)\/(-10)))\/(3\/(-24))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5835331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 9*m + 135. Let p = m - 14. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 - 2*l - 5. Let j be a(-4). Suppose 0 = 4*g + 2*s - 5 - 3, -4*g + 8 = -j*s. Is 1*(4 + 0 + g) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598*q - 599*q + 20018 = 3*r, 0 = 2*q + 2*r - 40052. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 14. Suppose -5*k - 220 = -8*k + u, -u = 4. Let i = -40 + k. Calculate the highest common divisor of i and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crcrrrrrcrr. Give prob of picking 3 c.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 r, and 1 d when four letters picked without replacement from drrggdgrgdg?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 - 90*v = 0 for v.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10002 (base 9) to base 7\nAnswer: 25064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 - 352 = 4*n. Let l = 646 + n. Suppose 3*i - l = -i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 10*z + 9*l = l - 40, 0 = -168*z + 768*z + 2*l + 2408 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/2)\/s))**47*(s*s*s**0)**(-2\/25) assuming s is positive.\nAnswer: s**(3517\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 60240*t**3 - 302465034*t**2 - 604749360*t - 302344563.\nAnswer: -3*(t + 1)**2*(t + 10039)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 120, 253, 440, 681, 976, 1325?\n\"Answer: 27*t**2 - 2*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 28, 16, -12, -62, -140, -252, -404?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**(-31)\/(v**(-1\/8)*(v\/v**(-3))\/v) assuming v is positive.\nAnswer: v**(721\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124502400 by -26400.\nAnswer: -4716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -608, -148, 1302, 4072?\nAnswer: 8492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/520 and 364\/392*(-14)\/360.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13020303203 (base 4) in base 11?\nAnswer: -1068848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 134*o - 145*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.7, -789, 48, 5, 0.1 in ascending order.\nAnswer: -789, -3.7, 0.1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 14 + 14 + 2)*(-329*k**2 - 57428*k + 57428*k).\nAnswer: 3948*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5507 (b) 2\/9 (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*t**5 + (t**3 - t**3 - 2*t**3)*(-4 + 4 + 4*t**2).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218075231?\nAnswer: 11, 43, 53, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241433 is divided by 346.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 246\/(-26568)*18\/(-1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x*x**6*x))*x*x**(-1\/2)*(x**1)**(-1\/7))**2 assuming x is positive.\nAnswer: x**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*w - 8806 = 3*w, -5*y + 22012 = -4*w. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:34 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -30 (c) 3\/7 (d) -1.3 (e) -0.433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -7. Let o be ((-1)\/(-2))\/(16\/96). Suppose -5*d + 25 = -4*j, -o*d + 6*d = -3*j - x. Calculate the lowest common multiple of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14603 + 14472 - 43676 + 59*c + 14601.\nAnswer: 59*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1127577 (base 9) to base 14\nAnswer: -11c018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 75 = -5*d + 3*n, 3*n = 3*d - 60. Let p(c) = c**2 + 4*c + 4. Let u be p(-3). Let f = d + u. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y - 36. List the prime factors of v(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3459808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*19\/(-133)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 323364?\nAnswer: 323367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 17 - (4 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - b**2 - 12*b - 522. Calculate w(0).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 292580.59 - 295360. Let d = 2800 + g. Let j = 22.3 - d. Round j to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 12. Let x be g(5). Let f be 2 + (4 - 3)*0 + 1. Sort x, f, -7 in ascending order.\nAnswer: -7, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30189, 4, 1, -1, 8 in descending order.\nAnswer: 30189, 8, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 1065?\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350114570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*9\/(-60)*10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185\/1538 or -1?\nAnswer: 185\/1538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724703912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1576 - -2743. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(208) - (-2 + sqrt(208))))**2*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-11)\/g*g)\/(g**(-10)\/g))**(4\/33)\/((g**(2\/13))**(4\/3))**22 assuming g is positive.\nAnswer: g**(-176\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 174\/8 - 1\/(-4). Suppose 21*a - k*a = -176. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*s + 1, 3*v + s - 8 = 0. Solve 0*q + v*w = 2*q - 2, 4*q = -4*w + 28 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 + 138. Let r = h - 23. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 20*d - 942. Determine c(22).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*b + i - 8, 3*b = 5*i + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420344 = -3080*m - 63064 for m.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5604\/67231 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*k - 60. Let f(u) = -u**2 - 19*u - 36. Let h be f(k). Let n = -1 - 3. Sort n, -6, h in ascending order.\nAnswer: -6, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - 42\/(-7) - -5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 + -131.1. Is a equal to -22\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is eb6 + -4?\nAnswer: eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 3 - -4) + (-77 + 43 - -43) + -98\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 5*u - 4. Let k be v(-6). Suppose -48 = k*d - 5*i - 242, 5*d + 2*i = 485. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/3 - 482*c. Suppose -2*t = t. Let j(f) = -2*f + t*f - 4*f + 8*f. Give j(i(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 968, 1944, 2932, 3938, 4968?\nAnswer: 6028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 3:33 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3971 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51a7a8 - -3?\nAnswer: -51a7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 628, 961, 1316, 1699, 2116?\nAnswer: 2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 20*v = 4*l + 148400015, -185500006 = 5*l - 2*v. Round l to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-357)\/21*(18\/27)\/(4\/6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21.5203082 * -2\nAnswer: 43.0406164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 - 151.8. Let w = i + 14. Suppose -v - 20 = -5*v. What is the smallest value in w, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -15, 3*t + 4*p - 71 = -62 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 743 + -618. Let j be 4\/(-10)*z\/(-150)*12. Let g(o) = o**3 + 5*o**2 - 6*o + 3. Let u be g(-6). Solve 31 = 3*a - 5*x, a + 12 = -u*a - j*x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 80318301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142421363?\nAnswer: 7, 20345909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a. Let c be (0\/1)\/(-2 + 3). Suppose 0 = -4*i - c*o + 4*o, 5*i + 3 = 2*o. Determine m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28331 - 14*p**3 + 5481 + 22850.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 33*h - 11. What is the tens digit of m(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 94*p**2 - 5*p + 7. Suppose 8*z + 4 = -2*s + 10*z, 5*z = 4*s + 11. Suppose -3*n + 9 = -2*n. Calculate the remainder when u(s) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 199.85 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 302 - 375. Let c(r) = r**2 - r - 2. Let l be c(0). Put 2, l, v, -3 in ascending order.\nAnswer: v, -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9723743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, 3, 11 in increasing order.\nAnswer: 2, 3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309581881.\nAnswer: 7, 2689, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3 = -2*h - 1, 4*q = 3*h - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 455690984 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17688467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**36)**(-4)*(l**(-5\/3))**15 assuming l is positive.\nAnswer: l**(-169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8667503?\nAnswer: 13, 51287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -224514 or -224513?\nAnswer: -224513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -673a (base 12) in base 7?\nAnswer: -45205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Let r(k) = 3*k + 5. Let l(g) = 1. Let v(h) = 8*h + 95. Let w be v(-12). Give t*l(x) + w*r(x).\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 3) + (4 - (7 - (8 - 6)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a943 (base 12) in base 8?\nAnswer: -44303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.6006 * 90\nAnswer: 234.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + k**2. Let t be n(1). Let r = 2 + t. Let j be (-908)\/(-36) - r\/18. Round j to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 27 = -27*r + 11*r. Put 4, -7, r, -17, 1 in increasing order.\nAnswer: -17, -7, 1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 16. Suppose 0*q + 4*q = c. Suppose 0 = q*x, -4*f + 2*x = -9*f + 35. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 + 110 + 84 - 13*o**2 + 0*o - o as x*o + g*o**2 + z and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941770 is divided by 754.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -0.08. Let p = z + 0.01. Let b = -0.09 + p. Sort -4, b, 4 in descending order.\nAnswer: 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7070 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/4 + -5 + -2. Let b be 0 - -5 - (-3 + 3 - f). Let r = 0.09 - 0.18. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 11*h**2 - 9*h - 7. Let d be s(13). Let i = d + -113. What are the prime factors of i?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449456876?\nAnswer: 2, 941, 650759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 65294?\nAnswer: 65293.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/696)\/(51\/476)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = -5*h + 412. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27 (b) 1 (c) -1\/3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 27. Let k be o(-9). Suppose 2 = 2*m - 2*t, 3*m + 2*t + k = -2. Let s = 946\/5 - 190. Which is greater: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4349\/5 - 482984\/555. Let s = l - -4\/37. Let y = 222.47 - 217.47. Sort 3, 1, s, y in decreasing order.\nAnswer: y, 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7541 + 7550. Suppose q - 84 = -q. Calculate the remainder when q is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966596405 + 966596405 - 152*l.\nAnswer: -152*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -40*c + 2. Let w(n) = n + 1. Let u(t) = -d(t) + 2*w(t). Let s(m) = m**2. Give u(s(z)).\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*g - 2712*g = -112404 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68143640239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 44474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, -32 in decreasing order.\nAnswer: 21, 4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1557200 and 25648.\nAnswer: 10900400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-91))\/((-1)\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5229104 + 2714704. What is l rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/3)\/(18\/(-228)). Let g = 43 - w. Calculate the remainder when -1 - -1 - (g + -40) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + c + 24 = 0, 0 = -3*d - 3*c + 28 + 26. Let y be -16 + d + 10\/(-16)*-2. What is the third smallest value in y, 1\/2, -6.9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 - 5*i + 2. Let s be c(-5). What is the second derivative of -7*d**3 + 118*d**s - d - 118*d**2 wrt d?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 12:58 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0084828 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 21 = 5*w. Let q be 7\/(49\/12) + (-6)\/w. Solve q*g = -0*g + 4*t + 18, t + 2 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -286591.5.\nAnswer: -57318.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41381\/72908 - 1\/1657. Find the common denominator of (-411)\/4*(-2)\/(-1296)*4 and i.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6)*3\/1. Let t = -17.86 + 13.86. Let l = 3 - 3.4. What is the smallest value in l, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 5*g**2 - g + 8. Let s be z(5). Solve -92*x**2 + s*x + 0*x + 95*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18))\/((-1)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -2\/25 (c) 1\/9 (d) 3 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356 a factor of 22909744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602674 is divided by 11817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/65, -0.1, -4, -2, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5645865\/(-324475))\/(-1 + 1 + (-2)\/10)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/649 and -19\/10.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91043 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 10*k - 12. Let z be y(5). Let f = z - 8. What are the prime factors of -87*((-15)\/f + 2)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47656 divided by 6?\nAnswer: -23828\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b + 4. Calculate u(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, a: 2, k: 1, f: 4}. Give prob of picking 3 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -254, -5, 92, -1 in descending order.\nAnswer: 92, 1, -1, -5, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6922536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (9 + -7 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - (-27 + 37 - -19)) + -103.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 150*a + 1 - 50*a - 4.\nAnswer: -200*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3*c + 96, 7*l + 216*c - 218*c = 224 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l - 19*l**2 + 557*l**3 + 559*l**3 - 1119*l**3 + (-2*l - 2*l + 2*l)*(0*l**2 - 2*l**2 + 5*l**2) to the form o*l**2 + r*l**3 + y + k*l and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**0*r)**(-2\/49))**(1\/28)\/((r*r**3\/r)\/(r*r**(-2\/11)*r)*r**(-5)*r*r\/r**2) assuming r is positive.\nAnswer: r**(28779\/7546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 3*b**2 - 4*b + 6. Let i be m(4). Suppose -i*v + v + 415 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 279*i + 1048*i - 2 + 12.\nAnswer: 1327*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2817 + o**3 + 2840 + 2*o**3 + 295*o**2.\nAnswer: 3*o**3 + 295*o**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 40*p - 38*p - 8, 5*p - 20 = 4*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 11*h**2 + 6*h - 60. Let j(f) = f**2 + 208*f - 6862. Let w be j(29). Give s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**2\/2 + 8712. Let u(x) be the first derivative of -7*x**2 + 1. Give q(u(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10143 divided by 3381\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98076.\nAnswer: 2, 3, 11, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 33*r = 910. What is the smallest common multiple of 77 and r?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122603, -122477, -122349, -122219, -122087?\nAnswer: -121953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-13)*(-2)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p - 1. Calculate the common denominator of -13 and z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -102 + 102 + 23*f**2 - 17*f**2. Let u = 3 - 4. Let b be j(u). Calculate the greatest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20095 is divided by 89?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670257632?\nAnswer: 2, 11, 241, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 228.4468302 to the nearest integer.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32744, -66478, -100212?\n\"Answer: -33734*r + 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 610 - -170028.\nAnswer: 170638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11769, 47334, 106609, 189594?\nAnswer: 296289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25449 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (376\/(-64))\/(55\/(-132)*(-42)\/(-140))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 + 4*r - 54. Let y(w) = -3*w**2 + 3*w - 45. What is -4*h(q) + 5*y(q)?\nAnswer: -3*q**2 - q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:09 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let s(g) = -g**2 - 11*g - 15. Let x be s(-6). Let m = -15 + x. Let c(k) = m*k - 5*k + 4*k - 3*k. What is c(a(z))?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/44 - (-1 + 5\/275). Which is the smallest value? (a) -0.3 (b) g (c) -21 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/1791973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3739, -3753, -3765, -3775, -3783, -3789, -3793?\n\"Answer: l**2 - 17*l - 3723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0*f**2 + 3*f + 0*f**4 + 0 - 1\/20*f**5 + 1\/2*f**3. Find the second derivative of q(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 10. Let u(l) be the first derivative of -l**4\/4 - l**3 + 9*l**2 + 9*l + 72. Let s be u(-6). Determine i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, n: 1, h: 2, d: 1, b: 1}. Give prob of picking 1 h and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -18697 + 18732 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(72) + -1.\nAnswer: -1 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1492.48407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 855*d - 2*d**2 + 30 - 73 + 31 - 24 in the form b + o*d**2 + f*d and give f.\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -4130\nAnswer: 4130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 2414490.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954239*p - 238561*p - 238560*p - 238570*p - 238558*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4132302 is divided by 1033053?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/19074 and 39\/22.\nAnswer: 19074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202 + 214.9. Let n = k + -13. What is the third smallest value in n, -1, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15424024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + h**2 - 2*h + 1. Let x(a) = a**3 + a + 1. Give -b(y) - 3*x(y).\nAnswer: -y**3 - y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 1130 = 37*x - 2*s, -5*s = -3*x + 854. Solve 24 = x*u - 271*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:18 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*p = 319, -2*r = p - 37 - 310. What is the remainder when 877 is divided by r?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21609, -43225, -64851, -86493, -108157, -129849?\nAnswer: -151575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2\/8 - 1101*b\/4 - 1095 = 0.\nAnswer: -730, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 5*s + 1074 - 1020, -2*q = 2*s - 52 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1332, 1176, 1020, 864, 708, 552?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddqi when four letters picked without replacement from diiidqiqi.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/3)\/q*q**(-1\/7))**(-7) assuming q is positive.\nAnswer: q**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {n: 2, a: 2, u: 2, l: 1, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -93.112622, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = -2740 - 9536. What is f rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 8 = 0. Suppose -5*m + 21 = 1. Solve -4*j + m*b + 14 = -7*j, -j - q*b - 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3785729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 2*h**2 - 6*h**2 + 7*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61390 = 95*q - 1463961 - 1300899. Does 119 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 5\/12, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-7))*p)\/p*p*((((p**(-7\/3)\/p)\/p)\/p)\/p*p)\/p assuming p is positive.\nAnswer: p**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 690 - 490. Let b = -325 + s. Let t = -125.0000002 - b. Round t to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/125873253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-81 + 11)\/(32 + -34)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 4, e: 3}. What is prob of sequence olo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -963*u**5\/20 + 208*u**3\/3 + 270*u + 4. Find the second derivative of b(o) wrt o.\nAnswer: -5778*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/80 - h**4\/48 + 5*h**3\/24 - 3*h**2\/8 + 10*h. Suppose f(q) = 0. What is q?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 951, 1018, 1085?\n\"Answer: 67*n + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 3. Let i(w) = -2*w + 3*w**2 + 3 - 8*w**2 + w**3 + 3*w**2. Let k be i(3). Let z be y(k). Calculate the greatest common divisor of 18 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 1042*z**2 - 727*z + 162766. Determine s(-520).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n + 250*n**2 - 30*n.\nAnswer: 250*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*k = 38, -2*k + 1 = -a - 1. Suppose a*g = 11 + 1. Solve 5*q - 14 = 3*h, 3*h - g*h - 4*q + 14 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 112100?\nAnswer: -112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9037274.7 rounded to the nearest 100000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*u**2 + 373*u**2 + 268*u**2 + 348*u**2 - 1319*u**2.\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14754608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2. Let f(r) = -370*r**2. Calculate f(u(g)).\nAnswer: -9250*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/56*(-9)\/180*2)\/(2\/10)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3\/260198095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 208 = -8*z. What is the second smallest value in 2\/9, z, -5, -325?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156979 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/3 + ((-27)\/(-3))\/(-3). Solve -4*u - r*z = 5, -u - u - 2*z = 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:31 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 4*b - 10, 0 = -b + 4*h + 8. Suppose 0 = b*y + 5 - 17. Does y = 21\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -3\/928, -6\/1439, -1\/9 in decreasing order.\nAnswer: 1\/12, -3\/928, -6\/1439, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 22. Suppose -2*p - 5*a + 6 = -3, s = -2*a - 6. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*n = -17, -4*m - n + 10 = -9. Solve 0 = -4*z + 3*d + m, z + 2*d + 1 = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*r + 20*r + 3*r**2 - 32 + 19*r in the form w*r**2 + p + m*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**5 + 70164*q**4 - 33213438*q**3 + 5186169696*q**2 - 248209271847*q - 2678636311452 = 0.\nAnswer: -9, 163, 22908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) -120 (c) -5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.233 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2877381 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*o - 1279, 677 = 5*o + 4*m + 2806. Let p = -1289\/3 - o. Which is the third biggest value? (a) p (b) -0.5 (c) -0.05 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/207)\/(-1 - -5 - (3 + -1))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 60 and -14482?\nAnswer: 14542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 1. Let v = -9 + 8. Let g be n(v). Suppose -23 = -g*k - y, -5*y + 3*y + 28 = 3*k. Calculate the highest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*p**2 + 28*p**2 + 14*p**3 + (2 - 2*p - 2)*(40*p**2 + 2586 - 2586) + 4*p**3 - 2*p**3 - 5*p**3 in the form q*p**2 + o*p**3 + k*p + f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 25*z = -43*z + 89466. Calculate the remainder when z is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 48 = -2*r, -57*r + 61*r - 16 = -4*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 + (2 - -14))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12726436?\nAnswer: 2, 3181609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 1, q: 2, f: 2, v: 7}. What is prob of sequence fqhf?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58212 divided by -2?\nAnswer: -29106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/14)\/(((-13)\/91)\/((-6)\/21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((4 - 4) + 17 + (37 + -13 - 5)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6089*n**4*z + n*y**3*z - 82*y**3 - 6*y**2 - 3*z wrt n?\nAnswer: 24356*n**3*z + y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**11*x\/((x**(-15)*x)\/x) assuming x is positive.\nAnswer: x**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3021475 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 3, 5, 2\/3 in decreasing order.\nAnswer: 119, 5, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let j(a) = -43 + 318979*a - 318979*a - a**2. What is r(j(i))?\nAnswer: -2*i**2 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = -3*q - 9, 0 = -86*q + 90*q - 3*m - 33 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.84493247 to 3 dps.\nAnswer: 26.845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 2*x - 277. Let w(p) = 30*p. Determine w(t(a)).\nAnswer: -90*a**2 + 60*a - 8310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 646*q**2 - 21*q + 2. List the prime factors of m(2).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let i(q) = 3*q - 14. Let z be i(6). Let t(c) = 4*c + 0*c + z*c - 6*c. Give t(x(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 4796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0471235 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(48)\/sqrt(192)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 817952*c**2 - 13*c - 29954.\nAnswer: 1635904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24393 is divided by 2704?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {n: 15, d: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/12972 and -169\/2760?\nAnswer: 129720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -51\/7. Let v = -69\/244 + 2\/61. Put -0.2, v, l, -0.4 in increasing order.\nAnswer: -0.4, v, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-20\/3)*t)**(-41)\/((t**(1\/53)\/t)\/t**14) assuming t is positive.\nAnswer: t**(39323\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 239231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -51*o + 49. Let x(w) = 52*w - 50. Let b(i) = 7*u(i) + 6*x(i). Find the first derivative of b(m) wrt m.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:16 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from sksqjjyjssqkqj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2070256729 to the nearest one hundred thousand.\nAnswer: -2070300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) 11 (c) -1\/14 (d) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 2:15 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 + 3568484*x**3\/5 + 1591766894234*x**2\/5 + 6367024755192*x\/5 + 6367010481288\/5.\nAnswer: 2*(x + 2)**2*(x + 892119)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 2*o + 5839. Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*w = -0*w + 16, 3*x + w - 13 = 0. Solve 0*t - x*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(-2 + (sqrt(2448) + -2*sqrt(2448))**2) - (5 + (sqrt(153) + (sqrt(153) - (1*sqrt(153) - sqrt(153))))**2 - (sqrt(153) - (-1 + 1 + sqrt(153)))).\nAnswer: 58087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.24, 4?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 31 (c) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/66)\/(2819\/8457).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -1\/2*g**3 + 149*g + 0 - 113\/15*g**6 + 0*g**4 + 0*g**5 - 16*g**2. Find the second derivative of t(i) wrt i.\nAnswer: -2712*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 72*s - 18. Let l(y) = -y**3 - 5*y**2 + 10*y. Let k be l(-6). Calculate the common denominator of 57\/22 and d(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = -2*t + 57, 4*w = 2*t + 178. Suppose 0 = 2*j + 15 - w. Calculate the remainder when 94 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119\/(737800\/(-4560)) + (-2)\/31?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13063 + 1155?\nAnswer: -11605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -49. Let c = j + -13. Find the third derivative of -30*q**5 + 30*q**5 + q**c - 3*q**2 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6623*l**2*x**4 + 8*l**2*x - 98*l*x**4 + 1002*l*x - 2*l - 15*x**2 wrt x?\nAnswer: 158952*l**2*x - 2352*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(84)\/sqrt(6))\/sqrt(7) + (sqrt(2) - (2 + sqrt(98))**2).\nAnswer: -104 - 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l. Let c(p) = 1537*p**2. What is c(o(a))?\nAnswer: 13833*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -268151.86?\nAnswer: 804455.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b - 46*b + 755080 = -13*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 130 + 113 - 197.\nAnswer: o**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l\/l**(-1)*l*l))\/l))**25*(l**6*l)\/((l*l\/(l**(-2\/3)\/l))\/l*l) assuming l is positive.\nAnswer: l**(460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44012300 (base 5) in base 11?\nAnswer: 237503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 40*j - 6 - 39*j - 59*j to the form r*j + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -601, -600, -587, -556, -501, -416, -295?\n\"Answer: z**3 - 6*z - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -1. Let y = 6.11 + v. Let z = 96 + -95.9. Which is the second biggest value? (a) y (b) -3\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110605688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-24)*9\/(-432)*6?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -5\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 - 91. Suppose -54 = -4*k + o. Solve 0 = 4*p - 5*z + k, -z + 4 = p + z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16627.4234269 take away 0.04?\nAnswer: 16627.3834269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001214 to 5 decimal places.\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 132.8701337194.\nAnswer: 133.8701337194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5031709538 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25241, -50475, -75709, -100943?\n\"Answer: -25234*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/36212619 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380 is divided by 684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -846 - -13523\/16. Let n = 361\/464 + i. Let h = -27 + 27. Is h > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 63*h**2 - 4*h - 238. Determine o(-63).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1165447 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39385130 * 0.01.\nAnswer: -393851.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158857?\nAnswer: 67, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/4 - 819893\/39015)\/((-5)\/(-15)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -20 + 75 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/76 and 79\/38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 566571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 807 + -719. Let n(h) = -h**2 - 6*h - 1. Let c be n(-3). What is the greatest common factor of c and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -70518246\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -373a12372 + -1?\nAnswer: -373a12373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*q - 33501 = -7925, -3*q = -4*p + 20447. Does 30 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-4) - (-4)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3860849\/5 + 772171. Factor -5 + 8\/5*i**3 - 8*i - f*i**2 - 1\/5*i**4.\nAnswer: -(i - 5)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z - 5*z - 10 + 47. Let q be j(4). Let l(i) = -i + 3. What is l(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 82960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1968)\/80)\/(3\/(-30)) and 20.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, d: 4}. What is prob of sequence xdx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10483 divided by 47\nAnswer: -10483\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r. Let j(s) = 35*s - 25*s + 4*s**2 - 10*s. Calculate j(o(a)).\nAnswer: 1024*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 1087*k - 1081. Determine p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 181, 157?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 6. Let q = 10279.06 + -10279. Which is the nearest to q? (a) t (b) 5\/6 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/12 + 5*d**3\/6 - 11*d**2\/2 - d. Is u(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103053090 to the nearest 100000.\nAnswer: 103100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 2 + 2)*(2*q + 2*q - 5*q) - 27*q**5 - 910 + 910 + (-2 + 3 - 2)*(-2*q**5 - q**4 + q**4).\nAnswer: -26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 96. Let v = -1.2 - -0.2. What is the biggest value in 4, x, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -0.99. Which is the nearest to z? (a) -0.1 (b) 0.3 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*h + 9*h**2 - 10*h**2 - h**4 - 2*h**4 + 1 + 6*h + 2*h**4 in the form q*h**4 + o*h**3 + p*h**2 + j + u*h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9447)\/(-94))\/((-1686)\/4). Do 0 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:57 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c - c - c. Let h(l) = l - 8. Let r be h(10). Let v be i(r). Solve -3*s + v = 5*k, 2*k - 4*s + 8 = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747118?\nAnswer: 2, 19, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x. Let o(g) = 17*g - 8. Determine o(j(m)).\nAnswer: -102*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 3, -72964, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u + 298 = -153. Solve u = -2*w + 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-316)\/32 - -10*1\/3*3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:34 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*h - 160*h + 152*h**2)*(11 - 5 + 1) - 3*h**2 - 2*h**2 + 4*h**2.\nAnswer: 1063*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:29 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1422183 and 474061.\nAnswer: 1422183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16813.87 (b) 27\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**3 + 5*x**2 + 55*x + 4. Let t(f) = -f**3 + f**2 - f + 1. Let j(d) = p(d) - 5*t(d). What is the second derivative of j(s) wrt s?\nAnswer: 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(4\/8). Let l(i) = -610*i**3 + i**2 - 1. Let d be l(g). What is d rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.02 (b) -2\/5 (c) 1 (d) 0 (e) 48 (f) -1\/8 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*l = -75866, 10*l - 379384 = -5*m + 14*l. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -27, -20, 3, 48, 121, 228, 375?\n\"Answer: o**3 - o**2 - 7*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/20 + 5*r**2. Let q(c) = 3 - 3 + 370*c - 752*c + 372*c. Calculate q(f(p)).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/49)\/9 - (-2)\/7.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*p + 4*j - 633, -3*p = -2*j - 645. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - z + 2*z + 2 = 0, -y - 2*z = 4. Let a be (3\/(-15))\/(4\/10). Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26247722?\nAnswer: 2, 13123861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 - 1121*j**2 - 2983*j - 5547. Determine p(-371).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 4*p**2 - 3 + 6*p + 4*p**2 - p. Let b be (-38)\/8 + 43\/(-172) - 2. Determine c(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169924620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*n - 2*t, -2*t + 0*t = 10. Let i = 26 + n. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 62*a + 939 = 10*r - 21*r, 0 = 5*r + 4*a - 32 + 107 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - (-4 + 3) - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + ((-3)\/(-66) - 85698\/3564)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002247 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55\/9 + -311\/45. Let m be (9 - 0) + 5 + 0 + -9. Which is the closest to -8? (a) m (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1997518*j + 3995028. Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-226)\/7910 + 526\/35\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01586 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {s: 5, x: 5, d: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 62. Which is the biggest value? (a) 0.05 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + t + 83. Let z(j) = 3*j**3 - j**2 + 4*j - 7. Calculate the remainder when q(0) is divided by z(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, 2\/19, 0.93, 3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d77 (base 14) in base 15?\nAnswer: -6726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*a + a + 15, -2*a + 10 = -f. Suppose a*r - 4*m - 31 = 0, -3*m - 4 = -4*r + 3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 - 0) + 2\/(-2). Suppose c = -0*i - 3*i. Let d = 2 - i. What is the highest common factor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/19661624 and 40\/17.\nAnswer: 334247608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.4. Let l = b - -1.3. Let u = l - 0.9. What is the third smallest value in -1\/2, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197 or 208?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 222612190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 112. Give d(28).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1, -3, 2, 6, -161.\nAnswer: -161, -5, -3, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24960 and 76185.\nAnswer: 126771840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 632312.\nAnswer: 632350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/6 - z**3\/3 + z**2 + z - 56. Suppose 0 = -0*i + 4*i - 8. Determine n(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 21*t + 42 = 0. Let i = t - -229. List the prime factors of i.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3824840 by 956210.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0796107 minutes to milliseconds.\nAnswer: 4776.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.48 + 4.7. Let v = s + -0.21821. What is v rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 3. Let z(q) = -12*q + 13. Let j be 21 - (-2)\/((-12)\/(-30)). Suppose d + 0 = -j. Calculate d*n(v) - 6*z(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 130572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.69 - 60.29. Round p to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 45*b**2 + 339*b + 664. Determine p(-36).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 - (-354 + 377)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -16*w**2 - 177*w - 8. Let a be r(-11). Solve -i = -h + a, h = 3*h + 4*i - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3747212 is divided by 416350?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k - 29. Let i be g(-12). Let f(l) = l**3 + 138. Let z be f(0). Let x = i + z. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249256781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**4 - 2*y**2 + 2*y. Let c(m) = -m**4 - m**2. Let z(l) = -2*c(l) + j(l). What is the second derivative of z(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 963 - (-9 - 0\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19835139, 19835152, 19835163, 19835172?\nAnswer: 19835179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 380\/(-988)*(120\/(-800))\/((-2)\/4)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Let h = a + -12. Is -10 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 + -10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230 divided by 1115?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 255\/(-17)*(-53)\/(-53)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6688 divided by 19.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13b47 + -1?\nAnswer: -13b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -202 and -199 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*(204\/68)\/(5\/(-30)*-6).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3324413 + 420?\nAnswer: 3330333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 32*d**2 - 70*d - 52. Let k be u(-34). Let h be ((-38)\/8)\/(3\/(-12)). Suppose 540 = h*q - k*q. Calculate the highest common factor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 159463.2 and 0.0323?\nAnswer: 159463.1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c + 424 + 2426 = -160*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + -1851662.62265.\nAnswer: -1851662.59265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -271, -1123, -3423, -7891, -15247, -26211, -41503, -61843?\n\"Answer: -120*z**3 - 4*z**2 - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10698171 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/13? (a) -0.1 (b) 188\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and -111.4669?\nAnswer: -3901.3415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 410154541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*o + 10*o. Is 4 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -24. Let c = -9 - a. Which is smaller: -1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1387, -1404, -1443, -1510, -1611, -1752?\nAnswer: -1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001049186067 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -23\nAnswer: -63\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1060373228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(1 + 1 + 0) + 1 + 0 - 3 + 1 - 4 + 4)*(3 - q - 3) + (2 - 2 + q)*(1 + 6 - 4) + 0 + 0 + q + q + 0 + 0.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -24. Solve -4*k - s + 3*s = 4, 3 = -n*k - 2*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 196*a**2 + 8*a + 1928. Determine s(-196).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*r - 2 = 0, v + 5*r + 5 = 3*v. Solve -5*i + 10 + 15 = v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 1. Let t be p(-1). What is the remainder when 29\/(t + 2\/4) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(6\/112) + (25 - 23). Find the third derivative of -64*f**4 + 16*f**2 + 180*f**4 - 56*f**4 - a*f**4 wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124846 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 r when three letters picked without replacement from krrrgkgkrkr?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efvfgvfgfggfggevfgg. Give prob of sequence vevf.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + -0.4. Let d = 9 - 3. Let k = x - d. What is the closest to -1 in -3, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123679689 divided by 7?\nAnswer: -17668527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/19 - 23\/38. Let n = -5 - -4.6. Let x = 0.58 - 0.58. What is the nearest to g in 4, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7065 = 4*q, -l = 13*q - 8*q - 8845. Is 1771 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 2. Let g(y) = y + 19. Let o(d) = 175*d + 2850. Let t(j) = -150*g(j) + o(j). What is s(t(k))?\nAnswer: -50*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*-24.63\nAnswer: -98.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*w**3 + 4 + 2*w**2 - 2 - 2*w**3 to m*w + k + l*w**3 + f*w**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-7)\/(-2) - 2). Suppose i = 5*r + 3*o, 0 = -r + 2*o - 2 + 13. Solve -d = 2*d - r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 46. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62937 - -106035. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*t = -2*j - 10, 5*t = j + 14. Suppose 88 = j*m + 16. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g - 5*g + g - 3*g. Suppose -4 = -t - t. Let l(q) = 5*q**2 - 4*q**t + q**2. Calculate l(c(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767479573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 50, -4954, 190 in decreasing order.\nAnswer: 190, 50, -4, -4954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18602\/31 - -600. Let z be 3\/2*(-2)\/(-8). Which is the third biggest value? (a) 0.3 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24727 - -123134\/5. Let r = g + 5336\/55. Find the common denominator of r and 22\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -1)*(323 + -10). Suppose 0 = -3*w - 91 + h. Is 75 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*d - 4 = d, -47*a - 40 = -47*a - 5*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 149513 and 0.053.\nAnswer: 7924.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 137 = -58*d, -d - 42 + 88 = 48 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(7\/(-2))\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 10 = 4*h. Calculate the smallest common multiple of (-10)\/20 - 23\/h and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:52 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 57\/2. Let d = 156 - 1094\/7. What is the closest to -0.1 in d, i, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37561 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 20*f**2 - 37*f + 26. Let u be y(18). Let d = 2 + 0. Let p = 11 + -6. Solve p*g + d = -u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32952979679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + 0 + sqrt(475) + sqrt(475) - sqrt(475)*-2*-4) + (-1 + sqrt(475) + 0)*-4)**2 + -5)*-5.\nAnswer: -237795 + 4000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193 by -61.\nAnswer: -193\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 13330 = -2*g + 13389, 0 = 3*g - 4*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/277353 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 8*a**2 - 10*a + 1. Let m(g) = -g**2 + 4*g + 12. Let o be m(5). Let v be ((-36)\/(-42))\/((-1)\/o). Is f(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-4)*t\/t**0 assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11*j**3 - 19*j**2 - 5*j + 13. Let u(b) = -5*b**3 - 9*b**2 - 2*b + 6. Suppose -14 = h + 27. Let t = -39 - h. Let q(d) = t*i(d) - 5*u(d). Factor q(a).\nAnswer: (a + 1)*(a + 2)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1, 0, -11, 7 in descending order.\nAnswer: 31, 7, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1833 and 740250.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2)*((-63)\/14)\/9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/20 and 71\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -x - 9, 3*s + 3*x - x - 17 = 0. Let f be -21 + 17 + 22\/s. Find i, given that -f*i**5 + 0*i**2 + 0*i + 2\/5*i**3 + 0 + 0*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/256120 and 69\/12008.\nAnswer: 20233480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6) + 1)\/(23\/(-138)). Let i be -2 - o - (-1 + 4). Calculate the smallest common multiple of 4 and 1 + i\/((-3)\/28).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2864 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 29. Let y(f) = -f**2 - 11*f - 1. Let k be y(t). Suppose 4*c - 143 = k. What is the highest common divisor of c and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = 0, 16 = 348*u - 351*u - 5*h. Let i(c) = c + 5. Let p be i(-4). Solve -v + u = -p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104107 equal to 104106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*u - 872261 = -872279, 5*c - 4*u + 5*u - 116 = 0 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 - 6561130*b - 2152421343845 = 0.\nAnswer: -656113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76.5 - -76.4999904. Round g to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 - 2) + (-6 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - 6959*h + 6959*h - 5*h**2)*(-15*h + 8*h - 10*h).\nAnswer: -17*h**5 + 85*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/(-6))\/((-10)\/(-75)). Suppose r = 2*a + 9. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = -5*u. Let w(q) = -q**3 + q**2 + 2*q - 2. Let n be w(-3). Let z be 33\/(-7) + (-8)\/n. Are z and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12130372*g**3 - 26*g**2 - 31070*g - 54 wrt g.\nAnswer: -72782232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021005 rounded to 7 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 205130282 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/36)*f**(4\/11))\/(f**(-41\/3)*f\/(f\/f**(-3\/28))) assuming f is positive.\nAnswer: f**(19633\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17173, 34317, 51435, 68521, 85569, 102573, 119527, 136425?\n\"Answer: -v**3 - 7*v**2 + 17172*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 61*v + 1043. Calculate r(-16).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) - -1*sqrt(126))*4)\/(sqrt(14)\/(sqrt(288) + sqrt(2) - sqrt(2)))*2)**2.\nAnswer: 663552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -162028 (base 14) to base 2\nAnswer: -10111100111011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let f = -52 - -363\/7. Let l = -7.3 + 7.1. What is the closest to l in f, o, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/77)\/(((-87)\/(-63))\/(1303\/11727))?\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)\/s*s)**(-3\/5)*s**(2\/11)*s\/s**8*((s\/s**(-8)*s)\/(s\/s**(-9\/2)))**(-12) assuming s is positive.\nAnswer: s**(-10057\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6735 is divided by 449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 19*h + 3*v, 2*v - 799 = -5*h - 823 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 64, -10, 3 in decreasing order.\nAnswer: 64, 3, 0, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -462 + 462 + 48*p + (1 - 4 + 2)*(p + 2*p + 3*p) - 3 + 2*p + 3.\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65197651 is divided by 216.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n - 37 + 37)*(-3*n + 3*n - 9*n).\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-1 + 6 + 0)*(10*z - 30*z - 15*z).\nAnswer: 175*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 55176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p - 4, -m - 9 = 2*p. Let v = 640 + -5758\/9. Which is the fourth smallest value? (a) m (b) 11 (c) -2\/13 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 113? (a) -11 (b) 1\/14 (c) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123028 - 59429. What are the prime factors of v?\nAnswer: 63599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 9 (b) -0.4 (c) 2201 (d) 3 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - s + 22 = 0, -34 + 23 = -5*y + 5*s - 28 - 48 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -923 - -943. What is the lowest common multiple of 128 and i?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u - 39. Let c(j) = -10*j - 12. Let k be c(u). Let w = k - 88. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371632171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 1, v: 1, n: 1, l: 1}. Give prob of sequence fvn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 170052 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319547439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186455\/33 + -5648. Calculate the common denominator of 127\/24 and d.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 11) to base 2.\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44724 + 10?\nAnswer: -44714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5, 23, 2.\nAnswer: -40, -5, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 78183*-1\nAnswer: -78183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from xxxxzzknzkn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/18)\/(13\/(-39))*8.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -9. Let z = r + -17. Which is bigger: -5\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(-12)*j))**(-1\/17)\/((j*j**(-16))\/j**(2\/31)))**(11\/4) assuming j is positive.\nAnswer: j**(83919\/2108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27210234 and 1067068?\nAnswer: 54420468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 987*z + 473755. Calculate c(-480).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 2*i**2)*(-2 + 2 + i) + 33*i**3 - 55*i**3 + 2 + 27*i**3 + 4*i**2.\nAnswer: 7*i**3 + 4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 3*c. Let w(k) = -13*k**2 + 12*k + 688. Give 4*n(u) - w(u).\nAnswer: 5*u**2 - 688","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 1024*c - 1078*c - 171, 48 = -3*c - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 1:05 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (932*m - 932*m + 31*m**2)*(0*m**3 + 3*m**3 - 2*m**3) + (2*m - m + 0*m)*(2*m - m**4 - 2*m) - 2*m**5 - 3*m**2 + 3*m**2.\nAnswer: 28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 0.3?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.1422 times -5.44\nAnswer: -11.653568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2832)\/30 - 6\/(-15). What is the units digit of ((-6)\/(-4) + -2)*b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 12. Let f be a(-14). Solve 4*t + 6 = f*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91940577 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 b when three letters picked without replacement from {w: 8, b: 2, c: 2, t: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.3 (c) -284 (d) -0.12 (e) 2\/419\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3352 + 1677 + 29*g + 5*g**2 + 1677 + 0*g**3 - 3*g**3 to the form m*g**2 + z*g**3 + l + q*g and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -45. What is the closest to -0.1 in -3, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a - 1. Suppose 4*o + 11 = 3. Let v(s) = 2*s**2 + 3*s + 3. Let x(u) = o*v(u) - 6*b(u). Let r(l) = -2*l. What is x(r(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 78*d + 4. Let h be b(26). Let l be -6 + (-10554)\/(-60) - (-4)\/(-10). What is w in -3*w + 3\/4*w**3 - l*w**2 + 6 + 1218*w**h + 588*w**5 = 0?\nAnswer: -2, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3927589 by 3927589.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*d**4*p**2 - 222924*d**2*p**3 + 3*d*p**3 - 1550*d*p**2 - d*p - d - 154*p**2 - 2 wrt d?\nAnswer: -1824*d**2*p**2 - 445848*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3246 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 4*w - 5. Let s be d(5). Suppose 86 = 4*i - 142. What are the prime factors of s\/25 + i\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 4550 = 189*h + 149*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 11*m - 8. Let j be g(-12). Let i be j\/16*4*-12. Let t = i - -10. Put -1\/6, t, -0.3 in decreasing order.\nAnswer: -1\/6, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728221467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n + 4. Let q = n + 3. Let g be 3\/q*(-20)\/12. Put 1, g, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/65055 and -44\/7?\nAnswer: 455385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/20 - 5*a**4\/12 + a**3 - a**2\/2 + 13*a. Determine p(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 33, 25, -5, -63, -155, -287, -465?\n\"Answer: -y**3 - 2*y**2 + 21*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 3*s**2 + 5*s**3 + 16*s**3 - 4*s**2. Let g be t(-1). Let q(i) = -i**2 - 24*i - 3. Is q(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54320000 rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -731, -2941, -6625, -11783, -18415?\n\"Answer: -737*s**2 + s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -26 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-44)*(-1)\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 485*w**3 + 45*w**2 + 45*w + 45. Let k(z) = 22*z**3 + 2*z**2 + 2*z + 2. What is 45*k(q) - 2*v(q)?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 4.3. Let m = g - 3.1. What is the biggest value in -2\/9, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 107?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 + 4*k - 2. Let v be p(3). Solve 0 = -3*o + 2*x + 3*x + v, 3*o + 5 = 2*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/18)\/(8\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1136.9617.\nAnswer: -568.48085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -2, -190, 13, 50, -4 in ascending order.\nAnswer: -190, -4, -3, -2, 2, 13, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1657 and -895?\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 11) to base 5\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*l - 0*l. Let o(t) = 4*t - 5. Let j(v) = -2*v + 2. Let z(n) = l*j(n) - 2*o(n). Let f(m) = -m**2. What is z(f(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -201, -302, -403?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*z**3)*((2 + 9 + 13*z - 12)*(3 + 3 - 4) + 5*z - 3*z + 0*z).\nAnswer: 84*z**4 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iir when three letters picked without replacement from {r: 4, i: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 450183662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 11:51 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 331 (base 5) to base 2\nAnswer: 1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 138*n - 36. Let j be c(-35). What is the highest common factor of 1326 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1145 = q - j, j = -0*j + 3. Is 50 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 11. Suppose -m = -6*m + g, -4*m + 11 = z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**9*k\/k**(-12)*k**(-16)\/(k**(1\/9)*k) assuming k is positive.\nAnswer: k**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12829736 divided by 6414868?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8390.624kg to milligrams.\nAnswer: 8390624000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -20121?\nAnswer: 20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82792.\nAnswer: 2, 79, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/3366)\/(10\/(-143))*15.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohhhoo. What is prob of picking 3 o and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 1. Let z(k) = 11*k + 8. Let b(x) = 10*x + 7. Let s(y) = -5*b(y) + 4*z(y). Calculate -8*m(a) - 3*s(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-23 - -16) + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 36. Let j = -11 - i. Is 39 a factor of j - (7 - 1) - -197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a**2 - 239*a + 4. Let t(i) = -4*i**2 - 115*i + 2. Determine -6*h(p) + 13*t(p).\nAnswer: 2*p**2 - 61*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 10*m + 1. Let z(r) = -2*r**2 + 20*r - 2. Let l(b) = -13*p(b) - 6*z(b). Give l(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437688\/8 + 48\/((-24)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0*l + 6*l - 4*l**2 + 8*l**2 + 5 - 3*l**2. Let a be j(-8). What is the greatest common factor of 9 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - -1400f?\nAnswer: 13ffa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 14*h = -437 + 535, -4*k = -h + 84 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441*s - 75637 - 70265 = -60883 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -484310, -484069, -483828, -483587, -483346, -483105?\n\"Answer: 241*l - 484551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lebq when four letters picked without replacement from {q: 1, z: 1, e: 2, w: 1, b: 1, l: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m\/m**4*m))\/m))\/m*m\/((m\/(m*m\/(((m*m**(3\/2))\/m)\/m)*m*m)*m)\/m)*(m\/m**(-1\/3))**24 assuming m is positive.\nAnswer: m**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -237 + 222031?\nAnswer: 221572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/24 and 31\/234?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l = 7*l - 7*l - 55*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 2419.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 129. Let i be z(-25). Let k = 0.1 - 1.1. What is the smallest value in i, k, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4 - 2*p**2 - p - 4*p + 2*p**2 - p**2. Let u(h) = -2*h + 5. Let o be u(4). Let g be t(o). Solve -g*k = k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1317.3 + 1317. Which is the second biggest value? (a) 0.31 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from {y: 2, l: 6, k: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*p + 4, -5*y - 6*p - 5 = -7*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11427125 to the nearest integer?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2717 - 14*l**2 + 255*l + 2717 + 60*l + 6*l**4 + (l - l - 2*l**2)*(-4 + 4 - l**2).\nAnswer: 8*l**4 - 14*l**2 + 315*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/1*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00202164705 rounded to six dps?\nAnswer: -0.002022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -337*g**2. Let k(p) = -9*p + 4*p + 8 + p - 8. Determine k(j(u)).\nAnswer: 1348*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 2*o**2 - 16*o + 49. Determine d(-7).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -146*i**2 - 872*i + 21. Let k be y(-6). Which is the third biggest value? (a) -4 (b) 5 (c) -0.4 (d) -68 (e) k\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 73.\nAnswer: -29\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6972053 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 80, -2\/7, -501, -87, -1\/4?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28621 and 12336.\nAnswer: 40957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/9)\/h**(27\/5))**(4\/23))**(-1\/7) assuming h is positive.\nAnswer: h**(932\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2. Let k(v) = -2*v + 169. Calculate 6*a(z) - k(z).\nAnswer: 2*z - 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.43 - -0.33. Which is greater: 0.02 or a?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.25 - 2.25. What is the second biggest value in 2\/7, b, -168?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.22 - 5124163?\nAnswer: -5124155.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 6 = -18. Let m(s) = s**3 + 8*s**2 + 5. Let o be m(-6). Suppose 0 = 5*b + 3*h - 93, -3*b + o + 2 = -n*h. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/7 and -29\/176?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/48 and -5\/28.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*t = 599*t + 3236 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -6*a - 10*a + 50 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77006.92kg in nanograms?\nAnswer: 77006920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2302 (base 5) in base 8?\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1702 - -2204?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*i - 187 = -215*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40629, -162570, -365807, -650334, -1016145, -1463234?\n\"Answer: o**3 - 40654*o**2 + 14*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**3*x**2 - 7*l**3*x - 9*l**2*x wrt x.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5059 + 4783. Is t less than or equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/7 - 46*w**4\/7 + 74*w**3\/7 + 222*w**2\/7 - 36*w = 0. Calculate w.\nAnswer: -2, 0, 1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 2210.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.3. Let m = l + 0. Let a = -6820 + 34098\/5. What is the closest to a in m, -3, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -113?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -232, -193, -92, 101, 416, 883?\n\"Answer: 5*j**3 + j**2 + j - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnbynssse. What is prob of picking 2 s, 1 y, and 1 b?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -32, -111, -264, -515, -888, -1407?\n\"Answer: -4*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316538928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h - 1582 = -33*h. What are the prime factors of h?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196484.\nAnswer: 2, 49121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 e when three letters picked without replacement from {p: 2, e: 4, c: 2, z: 1, w: 6}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239829.\nAnswer: 3, 79943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -43. Suppose 5*b = 112 - 572. Let g be 1\/(-2) + 6*b\/(-912). What is the smallest value in -1\/4, g, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (165 - 171).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = l + 5*g + 106, -2*l + g = 217. Let o = 439\/4 + l. Let n(m) = m**3 - 2*m**2 - 10*m + 7. Let d be n(4). What is the nearest to d in 2, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 37*q - 16. Let g be f(-18). Suppose 162 - g = -4*v + 5*t, -5*v - 3*t + 1015 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2635805 - -0.1.\nAnswer: -0.1635805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/836*(58 - -360).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*v + 2, -3*j + 3*v + 2 = -10. Let t(c) = c**2 + 191*c + 1642. Let k be t(-9). Solve -w - k = 4*l + j*w, w = -5*l - 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -485.10734 rounded to the nearest 10?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 294*12\/(-270) - -13?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 8:34 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(65) - sqrt(65)*1))\/((sqrt(480) + sqrt(30))\/sqrt(6)))**2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8676 = 4*s + 4*z, -38*s + 5*z - 2165 = -39*s. Is 35 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64281974 + -5027054\nAnswer: -69309028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -338 + 224. Which is smaller: 1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41247254 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Let o(k) be the first derivative of 561*k**2\/2 + 3665. Give o(b(j)).\nAnswer: -561*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -87?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9742 is divided by 165.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o - 10*o - 1 - 7*o)*(3 + 3*o**2 - 3) - o + o + o**3 - 3*o**3 + 7*o**3 - 2*o**3 + (0*o - 2*o + 4*o)*(0 + 2*o**2 + 0) - 38*o + 28*o**3 + 38*o.\nAnswer: 26*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/6 - (121 + (-130 - -12))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 + 2. Let x be c(5). Suppose x*a + 5*y - 3 = -1, -4*y - 2 = -2*a. Solve 3 = -2*m - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 211854794 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 115 - (147 - -45)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39586?\nAnswer: 2, 19793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from rrkcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -181669100 smaller than -181669100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*b + 57*b + 66640 = 0. Calculate the remainder when b is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*447584\nAnswer: 1790336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x + 4. Let b(j) = 3*j - 10. Let q(n) = -n + 3. Let v(r) = 6*b(r) + 21*q(r). Let t = -10 - -5. Determine t*v(u) + 4*o(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 - 59 - 169 - 70 - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4\/11 + 17*s**3 + 4577*s**2\/11 + 399*s = 0.\nAnswer: -21, -1, 0, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727 (base 10) in base 14?\nAnswer: 8b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Suppose s*q + 2*q + 102 = 0. Is ((-20)\/15)\/(2\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 4*p - 2. Let f be r(-2). Suppose -4 - 10 = -f*s. Calculate the highest common divisor of s and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/2 - 6\/8)*28. Let z be 2*(-2)\/(0 - 4). Let o = z - l. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*c - 39, -57*c = -55*c + k - 15. Solve z - c*n = -n - 10, -27 = -3*z - 4*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a. Let s(g) = -g - 1. Let r be s(-6). Let d(v) = -3*v - 5. Let m(k) = -k - 2. Let f(t) = r*m(t) - 2*d(t). Determine x(f(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*s = s + 10, 2*s + 4 = 0. Let x = -1774 - -1771. Which is the fourth smallest value? (a) -2\/11 (b) 0.3 (c) z (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 1\/20*n**5 + 0*n**4 + 1\/2*n**2 + 10*n + 0*n**3 + 0. Let b be (-2)\/(-4)*0\/7. What is a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*x**2 - 422*x**2 + 214*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 0 - 1 + l - 21764*l**4 + 21766*l**4 to the form m + r*l + x*l**2 + n*l**4 + p*l**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1270\/119 or -12?\nAnswer: -1270\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t**4\/21 + 10*t**3\/7 - 8*t**2\/21.\nAnswer: 2*t**2*(t + 4)*(4*t - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 357871979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 4*v + 38, -5*v - 34 = -j. Let l = j + -5. Solve l*z + 10 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*n = 149*n + 1883. List the prime factors of n.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/278 and -181\/1260.\nAnswer: 175140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*p**2 - j**3*p - 3*j**3 + 153*p**5 - 37*p wrt p?\nAnswer: -2*j**3 + 3060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1406519 or -1406520?\nAnswer: -1406519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20146659.987 - 13821.\nAnswer: -20160480.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 4368*c**3 - 4376*c**3 + 17499*c**3 - 4383*c**3 - 4370*c**3 - 63.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30609 and 18468?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 78. Suppose -47 + r = -6*t. Suppose x + 2*m - 10 = 0, 5*x + 2*m - 16 = -6. Solve t*f = -x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742 = -3*j - 205. Let p = j + -542\/3. Find the common denominator of 113\/10 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 11. Let q(o) = 1. Let l(a) = 2*a + 2. Let s(m) = -l(m) - 4*q(m). Determine 7*s(d) + 4*u(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - -27318.975282.\nAnswer: 27318.955282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*p = -2*s - 320, p - 634 = -2*s. What is the smallest common multiple of s and 18?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 2*l - 2 + 2 in the form y*l + i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 - 6*j**3 - 3*j**2 + 6*j = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, n: 4, e: 3, s: 10}. What is prob of picking 1 x, 2 n, and 1 e?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23. Suppose h = -2*r + 8*r - 36. Suppose -4*n + r = -6. Sort -4, -1, n.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 42 = 66. Let l(o) = 154*o**2 - 22*o - 22. Let k(x) = -22*x**2 + 3*x + 3. Determine q*l(a) - 22*k(a).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 5*d = -45, 37*d - 12 = -4*j + 41*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*x + 1340*x - 17969 = 623*x for x.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 15*k - 15. Let o be c(8). Let s = o + -62. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14284363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13663.3 - -13665. Let u be 6*-1*(-8)\/(-12). Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36671 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3268584 is divided by 1633490?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from eeeekekyekkkkkk?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3500, 3502, 3504, 3506?\n\"Answer: 2*q + 3498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 18*b = -81 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140246 and 94385558.\nAnswer: 94385558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = -3*d, 3*w - 3 = 2*d - d. Let l be w*1\/12*6. Solve l*k - k = 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56649 + -1581?\nAnswer: -5800a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11011100111100100001111 (base 2) to base 3\nAnswer: -111121211100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.59 and 25546.\nAnswer: -15072.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a + 10*a = 95 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2466?\nAnswer: 1\/2466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*(-144*c**4 + 59*c**3 - 86*c**3 + 119*c**4) in the form z*c**2 + v*c + a*c**3 + q*c**4 + l and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*z + 293 = z, -5*z = -5*g - 710. Let u = 437\/3 + g. What is h in 2\/9*h - 2\/3 + u*h**2 - 2\/9*h**3 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z - 3*z**3 + 5*z**2 + 10304 - 5150 - 5142 in the form h + g*z + c*z**2 + b*z**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-8))\/(3\/2). What is the nearest to -4 in t, -1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1200*v + 371992. Calculate l(-310).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34589912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5015*i**2 - 343*i - 2365. Is x(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 515 + -515. Is y at least as big as 3\/643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -11133353246?\nAnswer: 11133353241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/146 + 287\/730. Factor 4\/5*f - 2\/5*f**4 + 0*f**2 + q - 4\/5*f**3.\nAnswer: -2*(f - 1)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(5) + sqrt(5)) - sqrt(5) - sqrt(60)\/(sqrt(36)\/sqrt(3)) - (sqrt(80) - ((5*sqrt(80)*-1)**2 - sqrt(80))).\nAnswer: -2*sqrt(5) + 1992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 5. Suppose -6*d + 13 = -41. Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*c**2 + 40 + 30*c - 39 + 10*c**2 - 5*c**2 - 20*c**2 as p + j*c + n*c**2 and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*h**2 + 3*h**3 + h**2 + 9*h**2 + (-4*h - h + 6*h)*(2*h - h**2 - 2*h) - 4*h**3 + 3*h**3 + 4*h**3.\nAnswer: 5*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1326 + -1240. Sort v, -2, -1 in ascending order.\nAnswer: -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:52 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*s = 2*s + 3, -3*s = 2*f + 1. Solve -f + 2 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 39 - ((1 - -2) + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - d + 1. Let a be p(1). Solve -4*i = a + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49, -5\/2, 0, 0.151, 1\/3?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-13)*x**(6\/7)*x*x\/x**(3\/7)*x**(-9) assuming x is positive.\nAnswer: x**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 12.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15396301 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 85775*x**2 + 359361875*x + 73374234375.\nAnswer: 5*(x - 8675)**2*(x + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14 - 2*c**3 - 8*c**2 + 3*c**3 + 13 - 7*c. List the prime factors of l(10).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -328.62 + 33.82. Let r = 295 + z. Sort -0.01, -5, r, -2\/7 in decreasing order.\nAnswer: r, -0.01, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10433, -10438, -10443, -10448, -10453, -10458?\n\"Answer: -5*s - 10428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/126)\/((-14)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.228 - 0.22921. What is i rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 868, 901, 948, 1015, 1108, 1233?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -6, -564, -12.\nAnswer: -564, -12, -6, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**3 + w**3 - 7 - 2*w**3)*(-3*w + 3*w - 9*w) as f*w**3 + y*w**4 + g + b*w**2 + l*w and give l.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**2 + q. Let h = -14 + 5. Let w be (-6)\/(-27) - 43\/h. Suppose -4*j = -w*j + 1. What is x(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 68.3 and -48.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 7*o**2 + 8*o - 4. Let v(r) = r**3 + 6*r**2 + 4*r - 6. Let t be v(-6). Let u(m) = m**3 + 2*m + 36. Let i be u(0). Let l = t + i. What is h(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-33) - (-13)\/3. Suppose -x*q - 39 = -k, -165 = -3*k - 2*k + 5*q. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.782756um in nanometers?\nAnswer: 5782.756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -39747, -22, -0.4 in ascending order.\nAnswer: -39747, -22, -0.4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Let r(m) = 5*m + 49. Let s be r(-9). Solve -s = -2*i - x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/((-4)\/(-9) + 0). Suppose -2*w = v, -20 - 4 = -5*v - 4*w. Solve -5*o = -5, g*p = -2*p - 3*o + v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 4:18 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 6*l**4 + 2*l)*(3763*l - 2188*l - 1894*l).\nAnswer: -1914*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -18 (b) -1\/3 (c) 5 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106.126 - -106. What is o rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164088 or 2151?\nAnswer: 2151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/200 + g**4\/40 - 3*g**2 - 5. Factor c(q).\nAnswer: -3*q*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 + 30*z**2. Let a(d) = -6*d**3 + 31*d**2. Determine -3*a(t) + 4*j(t).\nAnswer: 2*t**3 + 27*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**3 + 6*r**2 + 15*r + 10. Calculate the remainder when s(-4) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxixgxaxxayg. Give prob of picking 1 g and 2 x.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 7:47 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/120 and 49\/((-49)\/(-2))*((-541)\/248 - -2)?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = -5*f, 3*b + f + 3*f = -6. Suppose 5*t + 3*v - 10 = 0, -v + 2 = b*t - 1. Put 5, t, 8 in descending order.\nAnswer: 8, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 9. Let y be (-170)\/(-84)*z\/(-12). Let o = y + -3\/56. Find the common denominator of 35\/12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106c4e (base 15) to base 12\nAnswer: 31893b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 51200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50992, 50991, 50990, 50989, 50988, 50987?\nAnswer: 50986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2235594.3 times 0.05\nAnswer: 111779.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -126, -108, -72, -12, 78, 204, 372?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1711269, -3422620, -5133971?\n\"Answer: -1711351*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1648\/29 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 40*y - 59. Calculate the remainder when a(37) is divided by (-13 + -2)*((-16)\/12)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9*z + 32 = 5*z, -30 = 5*t + 3*z. Sort -8, t, 4, 2 in decreasing order.\nAnswer: 4, 2, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4 + 2. Solve -3*v = -2*v, 3*v - d = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1953738)\/(-64) + (-4)\/2. Let r = -30528 + s. Find the common denominator of r and 29\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6077682693.\nAnswer: 3, 1289, 174631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let t(m) = 271*m**2. Determine t(x(n)).\nAnswer: 271*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least -29\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56052278 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92793*v**3 + 92791*v**3 + 63*v**2 - 295*v**2.\nAnswer: -2*v**3 - 232*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**5 + 10*z**4 + 15*z**3 - 20*z**2 - 20*z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.06 + 0.94. Sort 8, w, 2.\nAnswer: 2, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*q = 4*b - 8, -3*b + q + 34 = 0. What is the remainder when (-690)\/(-135)*9 - 9 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 + 78852*j + 777204738 = 0.\nAnswer: -19713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 i when four letters picked without replacement from iiezieehgie?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = -3*j + 1072. Suppose -1665 = 5*w - j. Let g = w - -853. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 565 + 95 = 0. Let v = 111 + -170. Let b = v + j. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 - -2.8. Let a = i + 0. Let f = a + 1.3. Put 2\/13, 5, f in ascending order.\nAnswer: 2\/13, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 12*k + 30. Let x be (-8 + 2)*k\/(-2). Let w = x + 38. Is w greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 694*s**3 - 2*s**2 - 662*s**3 - 342*s**3 as g + t*s**2 + r*s + q*s**3 and give q.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + -2*(sqrt(245) + 0 + sqrt(245))*2 + ((sqrt(245) - (sqrt(245) - (0 + sqrt(245)))) + -4 - (sqrt(245)*-1*-3 + sqrt(245))))**2.\nAnswer: 462*sqrt(5) + 29654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12074033 is divided by 3017.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4 + 13 + 3 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2427*d. Let p(a) = 4*a**2. Determine p(b(t)).\nAnswer: 23561316*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131197147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4371 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v + 4*o + o, -1 = v + o. What is the smallest value in -4, v, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66836563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/7)*l)\/l*l**(-6)*l\/l**(17\/3)*(l*l**(2\/15))\/l assuming l is positive.\nAnswer: l**(-986\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1647, -3285, -4923, -6561, -8199, -9837?\n\"Answer: -1638*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -80, 5 in descending order.\nAnswer: 21, 5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9200 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.01, -0.3, 0.1, -5, -16816, 4, 1.09?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**2 + 13458*p.\nAnswer: -2*p*(4*p - 6729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 5*z - 9. Let t be u(-8). Solve -4*g - 24 = 5*y, 5*g + 2 = -3*y - t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(16646\/(-145))*4\/10*-2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0 (c) -2\/5 (d) 274\/251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 1 g when three letters picked without replacement from {k: 1, b: 1, p: 2, g: 1, l: 1, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 238\/20 - 26\/325*(-20)\/8 and 9\/(-24)*60\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t**2 - 3*t**2 - t**2)*(-6 + 6 - 2*t) + (-3 + 2 - 2)*(0*t - t + 2*t)*(-t**2 - t**2 + 0*t**2) in the form y*t**3 + n*t**2 + m + o*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -61?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2275236 and 9100943\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2. Let f(u) be the first derivative of 19*u**5\/60 + 3*u**3 - 5. Let g(x) be the third derivative of f(x). Give g(b(v)).\nAnswer: -76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqw when three letters picked without replacement from {i: 2, q: 2, b: 1, w: 1, c: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 2*s**2 + 9*s + 10. Let m(r) = -r**3 - 6*r**2 + 15*r + 1. What is the lowest common multiple of d(0) and m(-8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b + 66 = 46*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2 + 149*f - 3720. Is 11 a factor of p(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**3\/6 - 5*x**2\/2 + 9*x\/2 - 2560. Factor a(y).\nAnswer: (y - 9)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19 - 3)*-303*5\/(-30). Let f = i + -805. Let n(a) = -10*a - 1. Determine n(f).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80085.063 to the nearest ten.\nAnswer: 80090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 7*c + 2. Let d be a(-5). Solve -t = x + 2, -4*x = -4*t + 4 + d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j - 20. Let y be u(14). Suppose 0 = 3*a - y - 88. Suppose 30 = 4*o - a. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)*o*o*o*o\/o**(5\/6)*o)\/(o**(1\/4)*o)**(-6\/7))**(-21\/5) assuming o is positive.\nAnswer: o**(-1252\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -13760000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88924709.\nAnswer: 31, 2868539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325274032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 22846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53998 and 16401182?\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1415299281, 1415299276, 1415299269, 1415299260, 1415299249, 1415299236, 1415299221?\n\"Answer: -o**2 - 2*o + 1415299284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -3.728.\nAnswer: -11.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -5) + (-1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3517 = -2*r - 6*o, 4*r = -o + 7007. Suppose j + 4*q - r = 0, 2*j - 4*q = 4255 - 717. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 196836*g - 196839.\nAnswer: 3*(g - 65613)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 42*j**3 - 172*j**2 + 474*j - 259.\nAnswer: -(j - 1)**2*(j + 7)*(j + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3061 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 3 + 1)*(g + 0 + 0) - 3*g + 2*g - 2*g to j*g + a and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4083*v = 8150*v - 4073*v - 222 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (495\/4)\/33 + 2\/8. Let l(g) = g**3 + 6*g**2 - 7*g. Let t be l(-7). Which is the nearest to t? (a) k (b) 1\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1386*f + 2. Let h(l) = 12*l - 1. Let v(k) = -2*h(k) - i(k). Let s(g) = 2*g**2. Give v(s(d)).\nAnswer: -2820*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -87658 (base 9) to base 13\nAnswer: -205c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3 (c) -79 (d) 0.39 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*k + 3*k - 21, -4*k + 21 = 3*b. Solve -4*c - k - 14 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.016 + -0.284. Let r(o) = -2*o - 6. Let i(k) = 5*k**3 - 2*k - 1. Let v be i(-1). Let x be r(v). Which is the closest to x? (a) -4 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/80*-2*8*(-14 - 696\/(-48))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 769761 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1633348.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {l: 1, o: 2, d: 1, u: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47135582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 124626.8853 to the nearest 10.\nAnswer: 124630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2*i + 3. Let t be x(-3). Let k = -3 - -8. What is the third smallest value in t, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -255 and 3.01.\nAnswer: -767.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) + -5 + (2 + sqrt(153) - sqrt(153)) - sqrt(153)) + sqrt(153) + 3 + sqrt(153)*-3 + 0)**2.\nAnswer: -144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*z + 2*z = -72, 5*d + 3*z + 206 = 0. Let n = d + 45. Suppose -25 + 130 = n*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - y**2 - 1. Let n(g) = 13*g**4 + 2*g**3 + 2*g**2 + 14. Let j(b) = n(b) + 2*w(b). Differentiate j(a) with respect to a.\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4015*y**4 + 2*y**3 + 5*y**2 - 124*y - 1.\nAnswer: -96360*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 + -199.58. Let q = -0.98 - p. Suppose -3*l + 3*b - 2*b = 2, 2*b = -2. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * 2.199817.\nAnswer: 81.393229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 7*b - 3. Let v(y) = -2*y**2 + 8*y + 4. Let d = 33 + -36. Determine d*v(f) - 4*r(f).\nAnswer: 2*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/15*5\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(320) + sqrt(320) + 3)*5)**2 + 2 + ((sqrt(15)\/(-2*sqrt(3)) - sqrt(5))**2 - -6*2*sqrt(5)).\nAnswer: 12012*sqrt(5) + 644553\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or -117?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 576836 to the power of 1\/2, to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(196)*1 + sqrt(196))*3)\/(-3*(sqrt(200) + (1*sqrt(200) + sqrt(200) - sqrt(200) - sqrt(200)))*-2*3).\nAnswer: 7*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**2)\/o))**(-7\/5)\/((o**(2\/7)\/o)\/o)**(-9))**28 assuming o is positive.\nAnswer: o**(-1964\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 10*p - 27*p. Solve 4*z - 6 = 2*v - p, 5*v - 2*z - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67611175 by -13522235.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((64\/(-8))\/24 + (-16)\/15)*5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7314\/(-42) + 3\/21. Let f = t - -180. What is the highest common factor of f and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n*v**3 + 4*n*v - 7*v**6 - 56*v**3 - 3113*v**2 wrt v.\nAnswer: 12*n - 840*v**3 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 23*a + 48. Let x(o) = -8*o - 16. Let s(y) = -3*v(y) - 8*x(y). Let r be s(10). Let c = 69 + r. Calculate the highest common divisor of c and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - 2*w + 20. Let u(k) = k**2 + k. What is -t(s) - 2*u(s)?\nAnswer: s**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w + 6. Let x be f(-5). Let r = x - -14. Let m = 27 - r. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1024, -1935, -2876, -3847, -4848, -5879?\n\"Answer: -15*f**2 - 866*f - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001236194 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -2*h**3\/3 + 3*h**2\/2 + 3*h + 3. Let k(c) = -c - 1. Let t(y) = 3*k(y) + o(y). Let s(l) = 5*l. Calculate t(s(i)).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125795599?\nAnswer: 19, 71, 93251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + v = 1, 4*y - 2*y + 4*v = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2809907 is divided by 117?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 1, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**2 + 249*b + 34. What is v(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2. Let o(x) = -8*x - 3*x + 1 - 18*x + 6*x - 2*x. Calculate r(o(y)).\nAnswer: -625*y**2 + 50*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1)**2 - ((sqrt(171)\/sqrt(81))**2 - sqrt(19)).\nAnswer: sqrt(19) + 1520\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 <= -2997\/283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3946 + 1258 = -21*g. Calculate the least common multiple of 5 and g.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043028 to four dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211120 (base 3) in base 2?\nAnswer: -10100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {f: 3, o: 7, g: 3, a: 3, v: 4}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167858 divided by -5.\nAnswer: 167858\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 + 8 + 1 + 61. Suppose -3*i + r = 2*g, -2*i + 33 = i - 3*g. What is the highest common factor of 32 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 729*j**5\/5 + 1777*j**3\/3 + 323. Find the third derivative of z(n) wrt n.\nAnswer: 17496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 347, 348, 349, 350, 351?\n\"Answer: m + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16547*r**2 - 725*r + 7?\nAnswer: -33094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -859157 plus 82?\nAnswer: -859075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -910.5 - -910. Let h = 0.18 + -0.08. Put h, m, 1\/9, 5 in increasing order.\nAnswer: m, h, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*r = -975*r + 93528. Calculate the remainder when (278\/(-3))\/(3\/(-9)) is divided by r.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3222770 is divided by 52.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 90 = -5*l, -72 = -l - 3*l + f. Calculate the lowest common multiple of 6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539088 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -293, -849, -1827, -3341, -5505, -8433, -12239?\nAnswer: -17037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 v when four letters picked without replacement from {s: 9, v: 5}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2943 - 13?\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (275\/(-100)*(-1)\/11)\/((-22)\/(-8))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 = -944*i + 941*i, 0 = s - 4*i + 17. Which is bigger: s or -3\/392?\nAnswer: -3\/392","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 - 3*b + 6*b + 5*b**2 + (b + 0*b + b)*(-2*b - 5 + 5).\nAnswer: -2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -21. Let j = v - -11. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 19) + 33 - ((72 - (2 - 3)) + 1).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1410 - 1213020?\nAnswer: -1214430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 115\/10 - (66\/44 + 0\/(-2)). What is the highest common divisor of h and 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) 1136 (c) -5\/6 (d) 6\/11 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - 4*t)*(8 - 11 + 6).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15863335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + 37. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3*sqrt(405)*-1)**2 - (-2 + (5*sqrt(30))\/sqrt(6))).\nAnswer: -5*sqrt(5) + 3651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from eeeddjbbbbedbjb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2.9. Let w = -8541 - -8542. What is the nearest to z in -0.04, w, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.043 and -0.4.\nAnswer: -0.0172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0179 and 10.\nAnswer: -0.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 + -58. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*n + 524 = 44*n - 940 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 6}. What is prob of sequence ssu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 - 6 = 0. Suppose 5*v = -2*k + 33, q*k = -k + 2*v + 6. Factor -k*z**2 + 6*z + 5*z**2 + 2*z**2 + 3.\nAnswer: 3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179107366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*c**3*x**4 - 7*c**3*x - 8*c**3 - 2*c*x**5 - 1 wrt x.\nAnswer: -312*c**3*x**2 - 40*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(15\/18))\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 93.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 882784849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -173*a + 38. Let m(i) = 1040*i - 215. Give -6*m(h) - 34*q(h).\nAnswer: -358*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 33 = -17*i. Let c(p) = -17*p + 9*p + 5 + i*p. Let k = -7 + 4. Let x(w) = -6*w - 11. Calculate k*x(g) - 7*c(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0*a + 2 + 2*a + a**2 - 3*a. Let l be p(0). Suppose l*k - k - 52 = 0. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 595*s**3 + 3*s - 52?\nAnswer: 3570*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 689708, 1379649, 2069590, 2759531, 3449472?\nAnswer: 4139413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let v = n - -3. Let g be (-1)\/((-13)\/(-91)) + ((-20)\/5 - -15). Solve -v*j + g = -0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by 4\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 1, v: 2, d: 3, m: 4, q: 8}. What is prob of sequence dqq?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3430 divided by 1?\nAnswer: -3430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23319 less than 48292?\nAnswer: 48291.76681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*w + 1298*w - 415*w = 404*w - 5346 for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*q - 256 = 56*q. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 143*x + 66 = 152*x - 288*x, -2*r - x = 15 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 19*j**2 + 2*j + 1. Let w be s(-1). Suppose 7 + w = 5*i. Suppose 13 + 7 = -i*y - 5*q, 2*q = 2*y + 12. Is -5 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 = b, 0*o - 4 = -4*o + 3*b. Let p(m) = m**2 - 4*m - 1. Let c be 4\/2 + 5 + -2. Let l(d) = -3*d - c*d + 9*d. What is o*l(w) + p(w)?\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 1008456*o**2 - 127125963306*o + 762719475852.\nAnswer: -2*(o - 252111)**2*(o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 943, 945, 947?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -859612837 or -859612839?\nAnswer: -859612837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 96 - 93 - (0 + 14)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6927322 milliseconds in minutes?\nAnswer: 0.00004487887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:32 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 10*h**2 + h + 19. Let s be 1\/6 - (-253)\/66. Suppose -s*c + 20 = -20. What is the remainder when b(c) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -n - 5*u + 12, 0 = 5*n - u - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(19) + sqrt(76)\/sqrt(4) + sqrt(19) - (-5 + sqrt(304))**2 - 2*(1 + sqrt(1900)).\nAnswer: -332 + 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - f + 4 = 0, 5*f - 2*f = 15. Let r = 4 + a. Let k(m) = 920001*m - 5. Let j be k(r). What is j rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w*w\/w**26)*w**(-22) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + -2 + sqrt(1300)*2 + (sqrt(1300) + (sqrt(1300) + 6*(sqrt(1300) + 1) - sqrt(1300)) - 2*sqrt(1300)*-1))**2.\nAnswer: 880*sqrt(13) + 157316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*v**4 - 2013*v**3 - 2*v**2 + 19*v + 71 wrt v?\nAnswer: -1680*v - 12078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 - 14 - 2*u**2 + 31 + (5*u - 4*u + 0*u + 2 - 2 - u + (-2*u + 1 - 1)*(-3 + 1 + 3) - 11 - 6*u + 11)*(6 - 12 + 10 + 2*u).\nAnswer: -18*u**2 - 32*u + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*k = -391*k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1 + (0 - -1). Suppose -4 = -s, k + 3*s = 6*k - 2*s. Suppose -h - h = k*l - 810, m = -2*l - 8. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 1324*y - 1319*y - 4, -5*y - 324 + 111 = -44*c + 119 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.8, -0.3, -3\/4, 1980, -5?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621454221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 230102021 (base 4) in base 12?\nAnswer: 88b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}