diff --git "a/data/dm_maths/full_data_1/2054_11255.jsonl" "b/data/dm_maths/full_data_1/2054_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2054_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -4*z = -5*x + 27, -53361*x - 3 = -53359*x + 3*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3509772 and 147066.\nAnswer: 677385996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1*c*c)\/c)**36*(c**(2\/5)*c)\/c*c**10)**(4\/17) assuming c is positive.\nAnswer: c**(1648\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1125 and 101\/4500.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*807\/8550 - (-2709)\/(-135450)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/6 (b) 0.3 (c) 3 (d) -206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 25 - 18 + a**2 + 59 + 3. Let p be b(0). Suppose y + 2*h = 23, p = 2*y + 3*h + 24. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**4 - 242*n**3 + 6*n**2 + 7 wrt n?\nAnswer: -48*n - 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1888011 - -15104089\/8. Solve m*p**5 + 0*p - 1\/8*p**4 - 1\/8*p**3 + 1\/8*p**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 1. Let i(v) = -2*v**2 - v - 2. Let k = -6 + 11. Let q(x) = k*d(x) + 2*i(x). Factor q(s).\nAnswer: (s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 26400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/4)\/i)\/i**(-1\/4)*(i*i**(-1\/10))\/(i\/((i*i*(i\/(i*i**(-2)*i*i))\/i*i*i*i)\/i)*i) assuming i is positive.\nAnswer: i**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 256*i + 10532. Does 95 divide s(88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.05, -4, -117, -3 in increasing order.\nAnswer: -117, -4, -3, -0.05, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 836*x + 1688.\nAnswer: -4*(x - 2)*(x + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + 0 + (-9 - 3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38146*f**4*i**2 + f**2*i**2 + 69*f**2*i + 489*f*i**2 wrt f.\nAnswer: 915504*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 + 2*w - 2. Suppose j = -j + 3*n + 2, 4*j + 5*n - 4 = 0. What is y(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 o when four letters picked without replacement from {c: 5, g: 1, u: 6, o: 4}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4978*m**2 - 16*m + 143. Is k(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-48)*(-96 - 0). Let g = 131 + i. Solve -5*d = x + 10, d + 4*d = -g*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 x, and 1 g when four letters picked without replacement from {r: 2, n: 7, a: 3, x: 6, g: 1}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -2709, -9097, -21529, -42021, -72589?\nAnswer: -115249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**3 - 3*g**2 + 9*g + 39. Let v(l) = -5*l**3 + 2*l**2 - 9*l - 39. Let c(b) = 6*h(b) + 5*v(b). Is c(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25433.1337 rounded to the nearest 10?\nAnswer: -25430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 2*u + 14, -5*a + 6 + 10 = -2*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120102 (base 3) in base 4?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {p: 1, t: 6, r: 1, m: 1, j: 2, b: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(-50)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4903 = 5*r + 4841, 2*w - 3*r = -96 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-5 + -2 + 6) - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 908 - 708. Calculate the remainder when y is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19 - 19 - 11*l + 30 - 8*l**2 - l**3. What is the smallest common multiple of s(-7) and 86?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5550 + i + 4*i - 5550.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Let c be 6\/2 + 2\/(-1). Let n = a - c. Put 4, 1, n in increasing order.\nAnswer: 1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/120 and -35\/5128?\nAnswer: 76920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*d - 2, 0 = y + 3*d - 9. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Which is the smallest value? (a) 2.9 (b) m (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*u - 1218*u + 429 = -612*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*g + 3)*(2 - 4*g**2 - 2 - 1) to the form t*g + v*g**3 + m + c*g**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98645 or 97070?\nAnswer: 97070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + 25*c**2 - 70*c - 465. Let b be s(-9). Solve r - b*z + 20 = 0, 4*r - 3*z + 38 = 2*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {y: 1, w: 3, p: 3, j: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h + 1. Let j be a(5). Suppose 2*i + 5*b - j = 9, -5*b = -4*i. What is the greatest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 188 = 60 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 + 322. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(240) - ((sqrt(240)*-3*4 - sqrt(240)) + sqrt(240)))\/(sqrt(90)\/sqrt(2)))**2 + -2)*1 + 5.\nAnswer: 10825\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899256 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4\/3 + 185*s**3 - 760*s**2 + 2300*s\/3 = 0 for s.\nAnswer: -115, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*z - 32*z - 11*z)*(4*z**2 - z**2 - z**2) + 3*z**3 - 5*z + 5*z to t*z**3 + k + g*z**2 + m*z and give t.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**4 + 123*q**2 + 0*q**3 - 61*q**2 - 62*q**2 - 9*q + q**3 as u*q + z*q**3 + h + t*q**2 + m*q**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 (base 8) in base 12?\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238443*b**2*r**4*x - 26623*b**2 + 4*b*r**2 - b*r*x + 14*r**3*x wrt r.\nAnswer: -5722632*b**2*r*x + 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 76 - 2 = 0. Let h(i) = -73 + 147 - t + 4*i. Let p(z) = -2*z. What is h(p(g))?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*j - 116*j + 65*j - 29*j**2 + 5 to b + p*j**2 + v*j and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 5*d**2 - 13*d - 60. Let r be v(-5). Solve -r*j = -3*p + 11, p + 15 = -7*j + 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 2*x - 4. Is i(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 8*i**2 - 4*i + 7. Suppose -3*p + y + 13 = -45, -4*y = -3*p + 43. What is the remainder when u(-8) is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Find the third derivative of 3*z + 4*z + 3*z**2 - 7*z + 3*z**p wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.8, -5, 2, -0.2 in descending order.\nAnswer: 4.8, 2, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let o(c) be the first derivative of -20*c**3\/3 + 22. Determine b(o(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17676 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724115.2 years to months.\nAnswer: 8689382.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3580275 by -5.\nAnswer: 716055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-198)\/8*(-120)\/45 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 736 and 828?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {g: 16, y: 1, q: 1}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2254*k**2 + 7*k - 4834. Let h(c) = -1127*c**2 - 4*c + 2390. Let v(j) = -11*h(j) - 6*o(j). Differentiate v(b) with respect to b.\nAnswer: -2254*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 4*r)*(-2*r - r + r) + (16 - 3*r - 16)*(-3*r + 3 - 3) as k*r**2 + p*r + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264785 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 6. Suppose -70 = -8*p + 3*p. What is the highest common factor of w and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997.9359mg in grams?\nAnswer: 0.9979359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0*g**5 + 0*g**2 + 0 + 191*g + 34\/3*g**4 + 0*g**3 - 163\/30*g**6. Find the third derivative of p(b) wrt b.\nAnswer: -3912*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t + 73 = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -72*((-4)\/(-9) + 50\/(-45)) and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 4*z - 3. Let r be s(5). What is the units digit of ((-6)\/9*-18)\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7838491.281 to the nearest 100000.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 7 = -4*z - a, -z - 1 = -2*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12125 - -12266. Calculate the remainder when o is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of (-124)\/32 + (-4)\/32 + 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*c - 322 = 0, q + 0*q + c = -314. Let w = 1867\/6 + q. Which is smaller: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anll when four letters picked without replacement from nnknannnnllnn.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.12 + -4.79. Let k = -0.07 - y. Let p = 2 - k. Sort -1\/6, 5, p in increasing order.\nAnswer: -1\/6, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -24153987*i**2 - 11999*i + 11999. Let s(h) = -12077*h**2 - 6*h + 6. What is 11999*s(d) - 6*x(d)?\nAnswer: 11999*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(21\/9))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-9))\/((-4)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -700614*s. Let p(u) = 7*u - 2. Give p(j(m)).\nAnswer: -4904298*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.059 less than -82861.61?\nAnswer: -83145.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhz when three letters picked without replacement from dshzzd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + t + (3*t + 4*t - 3*t)*(-1 + 1 + 2) + 2*t - 3*t + 0*t + 255*t + 22 - 43 + 21.\nAnswer: 263*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - y + 20 = 0, -76*g = -79*g + 2*y + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - (-10)\/25*5) + 3422 + 0 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000082765525 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5561*i**3 - 1376*i**3 - 1391*i**3 - 1390*i**3 - 1408*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 3*s + 5*w - 597, s = 3*w + 162. What is the remainder when 824 is divided by s?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjc. What is prob of picking 1 z and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 + 76*h**2\/5.\nAnswer: -4*h**2*(h - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 72. Let s be (-36)\/(-8)*(2 + h). Suppose -q - 18 + 117 = -5*y, 3*q + 3*y = s. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y + 498. Let i be h(-78). Which is greater: i or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.061 (b) -16 (c) -0.1 (d) 4 (e) -675\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 235 = -25. Suppose 6*v + d = 21*v. Suppose 0 - 6 = -3*r. Solve -j + o = -4*j + v, -4*j + o - r = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -55 (c) 2\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let o(p) be the first derivative of 3*p**4\/4 + 3*p - 7. Let m(c) be the first derivative of o(c). Give b(m(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let v be z(-5). Let b = 9 - v. Let w(p) = -b*p + 2*p - 2*p. Let s(h) = -2*h**2. What is s(w(o))?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(76)\/(sqrt(64)*1 - sqrt(4) - sqrt(4)) - ((sqrt(19) - (sqrt(684) - sqrt(684)*-1) - sqrt(171)\/(sqrt(9) - sqrt(9)*-1))*3)**2.\nAnswer: -90439\/4 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*s + 26 = 0, s - 68 = -5*y + 3*s. Suppose w - y = t, w + 0 - 16 = -t. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*a + 5*a - 4*a)*(0*a**3 + 2*a**3 + 0*a**3) - 59*a**4 + 336*a - 336*a.\nAnswer: -91*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + r + 5 = 2*r, 4*r = 5*c + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.464988 hours in microseconds?\nAnswer: 12473956800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2065005 is divided by 121466?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 3. Let m be j(-6). Let f(t) = t + 13. Let v be f(m). Suppose -v = -2*y - 0*y. Solve 0 = -3*n - 5*x - 6, 4*x + 5 = -3*n + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -435204005 + 1?\nAnswer: -435204004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 115668.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 24*w**3 - 90*w**3 + 39*w**3 - 1348*w + 28*w**3 to the form f*w**2 + b*w + v*w**3 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157477, 629907, 1417291, 2519629?\nAnswer: 3936921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(117)*-2 + 5) + (5 + (sqrt(117) + -3 - sqrt(117) - sqrt(117)) - (sqrt(117)*-1 + 4 - sqrt(117))))**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-3)\/(-2))\/(1\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t - 18 = 0. Solve 0 = 2*m + 2*f, 4*m + t = -m + f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/15)\/(8\/1400). What is the remainder when 47 is divided by (-40)\/(-6)*(7 + (-161)\/k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13262 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 - (-8 + 6 + 5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q + q - 6893130 + 6896414)*(-1 + 5 + 2).\nAnswer: -6*q + 19704","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 121961 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*5\/(45\/24). Suppose p - c = -p. Let x(t) = 9*t + 5. Let o(a) = 125*a + 70. Let f(b) = p*o(b) - 55*x(b). Let n(d) = 6*d + 6. Give -4*f(w) + 3*n(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-3))\/(-3) + 60. Let l be (-21)\/f - 4\/10. Which is the nearest to -1\/2? (a) -0.1 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, -1\/9, -5, 2\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:45 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ba538 (base 13) in base 4?\nAnswer: 1102102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i + 5. Let x(o) = o. Calculate p(m) - x(m).\nAnswer: -5*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - -10) + 45556\/22785. Is q <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/60 - z**2. Suppose 3*j - 4 + 1 = 0. Let k(v) = -j - 2*v - 1 + 2. Determine k(o(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 43*f**3 - 2*f**2 - f + 1. Determine l(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 20*x**2. Let i(y) be the first derivative of 19*y**2\/2 - 98. Determine c(i(m)).\nAnswer: 7220*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8*w - 3*v + 13174 = 0, -w + 2*v = -2627. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 35*q - 26. Suppose 3 = -n + k + 14, 2*n + k = 19. Suppose -25 = -n*w + 35. What is the tens digit of i(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646315 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m - 9. Let x(z) = 5*z + 4. Let a(y) = -6*p(y) - 13*x(y). Let o be a(-6). Let h = o - -12. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 + 400\/175. Solve 0 = -10*d + z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.087, -1, 3?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -3.3, -20186, -5, 5, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-18) + (-10)\/(-3). Let v be y + -2 + 2 - (-1 - 2). Solve 5*g = v*w - 3*w + 20, -5*g = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 2, m: 1, h: 6, t: 1}. Give prob of sequence hmlh.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133*47\/(-66082))\/(7\/4).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Suppose 4*x + 12 = 0, -15 = r*u - 6*u + 5*x. Let k = -181 + 183. Solve 2*b + k + 2 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168684 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13\/(338\/(-2665))*(-62)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96576 divided by 96.\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136533*h = -5*x - 136530*h - 40, 7*x = 3*x + h - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 138*j**2 + 12*j + 15. List the prime factors of g(-11).\nAnswer: 3, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-34)\/595)\/(45\/(-105)))\/((-3)\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 2*k - 24 = 0. Let q be (3\/k)\/((-27)\/93) - 3. Sort q, -0.1, 2 in ascending order.\nAnswer: -0.1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((192 + 128 - 52)*(-2*n + n + 0*n) + (-5 + 4 + 2)*(-n + n - n))*(0 + 3 + 2).\nAnswer: -1345*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34716 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-8))\/((-9)\/6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4724, -18899, -42520, -75587?\n\"Answer: -4723*h**2 - 6*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1275 and 1276 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*g = 0, 6 = -0*m + 4*m - 2*g. Suppose -6 = -12*k + 9*k. Find the first derivative of -3*i - 4*i**k - m + 3*i + 0 wrt i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20202010 (base 3) to base 5.\nAnswer: -124132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1843746961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -1\/3 (b) -2\/13 (c) 1944\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6 = 0, r - 6006382 = -4*t - 2*r. What is t rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-11 + 10) - -35?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/45 + 82\/(-10). Let v be (-14)\/56 - 242\/t. Solve 5*g + 5 = -4*c, 4*g + v = c + c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10177235 is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from moxroxxropx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23310 * 115.\nAnswer: 2680650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -449.12.\nAnswer: -448.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212741712, -212741709, -212741706?\nAnswer: -212741703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 62521 - 63360 - 2*q.\nAnswer: -3*q - 839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 45*x + 42. Does 32 divide j(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/61 in 16, -2, 6.31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2 - 4 + 2*s - s**3 + 2*s**2 + 0. Let v be i(2). What is the second derivative of v*o**4 - o + o + o wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:38 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l. Let w = 4 + -8. Let m = 0 - w. Let y(z) = 2*z**2 + 3*z - 3. Let s(a) = -3*a**2 - 4*a + 4. Let v(q) = m*y(q) + 3*s(q). Determine v(r(i)).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/9 and -101\/832654.\nAnswer: 7493886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9*(-16)\/(24\/(-3))*18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61703 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 227342621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*j**2 + 18*j**2 - 38*j**2 + 8*j**2 in the form h*j**2 + r + i*j and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = 0, 2*f + 18 = 3*f + 2*w. Solve 7*s = 2*s + f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 (base 14) in base 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 13*s - 20. Calculate the lowest common multiple of 32 and m(7).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5 - 10) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.91 - 30.91. Which is the nearest to u? (a) -8\/3 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 117, -2\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55857948 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/150 and -161\/330.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 162. Let n(x) = x. Give 6*n(b) - z(b).\nAnswer: -b - 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/b**(-3))\/b)\/b*b**2)\/(b**(-1\/2)\/b**(-5))*b**(3\/2)*b*(b*b\/(b*b**(-2)*b))\/b*b*(b**1\/b)**(1\/9) assuming b is positive.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 19*c**4\/12 + 2*c. Let v(z) = -2*z. Calculate j(v(k)).\nAnswer: 76*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**6\/14 + 3*p**5\/35 - 3*p**4\/14 + 393. Solve y(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 - 1080*w**2 - 66565*w - 909150 = 0 for w.\nAnswer: -110, -87, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -30*z + 19*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 3*k - 7*k + 4*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 5, 12, 0 in decreasing order.\nAnswer: 37, 12, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**2\/2 + 1. Let n(l) = -14*l + 2. Let k(z) = 18*z - 5. Let r(y) = -6*k(y) - 15*n(y). What is a(r(t))?\nAnswer: -102*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**(-3\/2)\/m)\/m)\/(m\/m**(-4\/3)))\/(((m**8*m)\/m)\/(m*m**(-3\/2)\/m*m*m)))\/((m**(2\/7))**(-1\/29)\/((m\/(m**6\/m))\/m**(-4))) assuming m is positive.\nAnswer: m**(-7505\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 = z + 12, 0 = 3*i + z - 56. Solve 5*u = 3*f - i, 2*u = 2*f - 2*u - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002342131 rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13276 = -37*k - 12758 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478666081.\nAnswer: 137, 401, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from {x: 1, y: 1, g: 1, i: 3, j: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**2 + 23*j + 13. Give f(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 235436*w**2\/3 + 470878*w\/3 - 78480.\nAnswer: -2*(w - 1)**2*(w + 117720)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m. Suppose -3*b + 15 = 0, 2*b - 10 = -14*o + 16*o. Let t(z) be the second derivative of 0 + o*z**2 + 0*z**3 + 1\/12*z**4 + 27*z. What is d(t(f))?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 53. Suppose 5*m - m - 1580 = k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1004 - -1036. Calculate the least common multiple of 20 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 3*n + 4. Let x be h(-3). Solve 2*l = l - 4*s - 1, 5*l + 29 = x*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -678 * -430\nAnswer: 291540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 16951\/650. Calculate the common denominator of b and -41\/7.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 + -19 - -4) + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 1207*d**2 + 6*d - 2*d.\nAnswer: 1207*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -53.794983 + -4665\nAnswer: -4718.794983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -694*68\nAnswer: -47192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (14\/18 - -3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:04 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24714 = 6*o - 24702 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003 - 1008 + 2869 - 8*l - 858.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2\/3, 3, 0.3, -1\/9, -1046\/3, -0.027?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -169973162703 - -7\nAnswer: -169973162696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 35 = 3*k. What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 26*o - 3. What is f(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-10)\/5*(-1)\/(630\/15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 40712.8017 to the nearest 100.\nAnswer: 40700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 52 + 92. Calculate the remainder when 141 + (6 - (-1 + 8 + -2)) is divided by u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4108\/31 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349121.9 rounded to the nearest 1000?\nAnswer: -1349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*u**3 - 19*u**3 + 14*u**3 - 2 + u**3 + 2*u**3 - 4*u**3 + (4*u**2 - u**2 - u**2)*(-2*u + 6*u - 2*u) as f*u + c*u**2 + k + x*u**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 16\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*r + 4*v - 4, -4*v + 12 = 0. Suppose -3 = -r*c + 7*c. Let d = -4241\/21055 + 6\/4211. Is d > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*b - 3*v + 14 = -124*b, -3*v = 7*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125137287 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 2873?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4*p = 350. What is p rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/9, 892\/9, 236 in descending order.\nAnswer: 236, 892\/9, 2, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 5*j - 31 + 2*j**2 - 9*j + 3*j - 3*j**3 in the form y*j**3 + n*j**2 + k + z*j and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5274847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499563469.\nAnswer: 823, 607003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -820*j - 1545. What is w(-2)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 + 616. Is 40 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**2 - 12*y - 3. Let a(p) = -145*p**2 + 220*p + 55. Determine 6*a(b) + 110*d(b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**6*k - 2*b**4*k - 17*b**3 + b**2 - 236*b*k wrt b?\nAnswer: -240*b**3*k - 48*b*k - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/5)*s*s**(-2))\/((s*(s*s**(-1))\/s)\/s)**(-20\/13))**23 assuming s is positive.\nAnswer: s**(-4094\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3017 (base 8) to base 11.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Suppose -8 = -3*u + 10. Suppose 4*t = -2*n + 38000008, -x*n + u = -6. What is t rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/1485 and -4\/351.\nAnswer: 19305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331027661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 442, -4, 1, 0 in decreasing order.\nAnswer: 442, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -110. Let b(j) = -j**2 - 11*j - 20. Let c be b(h). Let n(y) = 12*y**2 + 7*y + 3. Calculate the remainder when 70 is divided by n(c).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.1354509 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -234.43\nAnswer: 1172.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1004 - 993. What is the greatest common factor of q and 1133?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/25)\/(147\/(-490))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303687586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + i)*(-4*i - 2*i + 4*i) + i**2 + 0*i**2 + 3*i**2 + (7*i + 2 - 2*i - 3*i)*(3*i + 3 - 3).\nAnswer: 8*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x - 11. Let t be s(8). Let o(r) = -3*r**2 + r**3 - 6*r**2 - 2*r + 6 + 4*r**2. Determine o(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:04 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 366?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/11*(-10)\/12?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.606 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 3:55 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 299, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290577.\nAnswer: 61, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 5\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-1) + 68\/68. Suppose -u + l = 5*y, -21*u - 4*y = -24*u + 1. Solve -t = -5*t - 4*p + 16, u*p = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 1, 12\/23 in ascending order.\nAnswer: -5, -0.2, 12\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, 18 in decreasing order.\nAnswer: 18, 7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49673 and 1425233.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.006 * 0.01\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-2 - -1)) + 1 + (-31 - (-11 + -44))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 - 36*n + 69\/2.\nAnswer: 3*(n - 23)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*a**2 - 277*a**2 + 144*a**2 - 11*a**2.\nAnswer: -746*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -8 (b) 0.4 (c) 1\/18 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*o - 11 - 16 + 29, 2*n - o = -3*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14654011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6126514.\nAnswer: 2, 3063257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 204\/9 - (-4)\/3. Let w = 24 - a. Solve 0 = -w*l + 2*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 366*l - 1. Let o be w(1). Suppose 7*y = 2*y + o. Suppose -5*x - 3 = -y. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-21)*7\/(-70). Which is the fourth biggest value? (a) 0 (b) 0.2 (c) -1\/224 (d) -1 (e) k\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y - 3. Let i = -53 + 55. Let s be a(i). Which is greater: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 57352655021697?\nAnswer: -57352655021701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 20 = -5*j - 2*g, -4*j - 2*g + 22 = 0. Let p be (j + -10)*4\/(-3). Suppose -3*m = p*m - 511. List the prime factors of m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212b5 (base 12) in base 6?\nAnswer: 154133545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/3*1)\/2)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4920\/36 + (-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20440937?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**2 + 111*z - 3. What is w(-11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 5136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -133.999 times 11\nAnswer: -1473.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 43*x**3 + 7*x**2 + 15*x + 26. Let j be m(-6). What is the tens digit of 2\/10 + j\/(-125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 19. What is the remainder when 110 is divided by j(-47)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 34.28.\nAnswer: -2.0568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 7131*h + 0*h**2 - 7123*h.\nAnswer: 2*h*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 2*z + 24 + 30 - 2*z**3 + z**4 - 55 in the form j*z**2 + d + l*z**3 + h*z + a*z**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17235 is divided by 8590?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o + 4. Let z be w(0). Solve 16 = -4*f - 4*k, 8*k - 3*k - 25 = z*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-612)\/(-60) - 76\/5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + h - 3 + 14 + 14.\nAnswer: h + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztuzaszs. Give prob of sequence azzz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 1 - (-1)\/1. Let l be 0*(b + -1 + -1). Solve -5*v + 5 = -l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -3 + -1 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 6\/7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40.4 + -41. Let x = k + 1.1. Let y = 47 - 47.05. Which is the third smallest value? (a) -2\/7 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*o = -22*o + 168 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-20))**34 assuming p is positive.\nAnswer: p**(-680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4762 - 4838. Let b be -10 + 2*3\/6. Let v = b - n. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13*y - 5. Let n(x) = -25*x + 10. Let a(q) = -5*j(q) - 3*n(q). What is the remainder when (-1)\/(-3) + 128\/3 is divided by a(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48616\/105 - 6928\/15. Let -10\/7*w**2 + 4\/7*w + 0 + g*w**3 - 2\/7*w**4 = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24924)\/(-2340) + 5\/15 + ((-122)\/13 - -9)?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (89 + -79)*96\/30\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01095535 rounded to 4 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/11 - 4188*u**3\/11 + 2196584*u**2\/11 - 4342992*u\/11 - 17505856\/11 = 0. Calculate u.\nAnswer: -2, 4, 1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*r**3*z - 48*r**3 + r**2*z - 19*r**2 + 128*r*z - 15*r + 6 wrt r?\nAnswer: 36*r*z - 288*r + 2*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9559793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-45)\/81)\/((-26)\/(624\/(-220))*1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -38957, -585, -4 in increasing order.\nAnswer: -38957, -585, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vov when three letters picked without replacement from ovvvo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 33*h + 3601. Give w(-78).\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 21 = 4*p, 4*g + p = -p + 84. Suppose 2*a = b - 140, 5*b = a + 600 + 82. Suppose -11 = -c + b. Calculate the greatest common factor of g and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.68195 millennia to decades.\nAnswer: 3268.195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1.43, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 178\/(-36) - (0 + -2) and (278\/(-45))\/(24\/30)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2. Let u(m) = -272*m - 64. Let j(c) = 21*c + 5. Let f(a) = -64*j(a) - 5*u(a). What is f(r(z))?\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.98502 - 12375?\nAnswer: -12339.01498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14146*t**3 + 2*t**2 + 2*t + 5. Let w be l(8). Suppose -719569 = -d - 5662172. Let m = w - d. Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 1914 = 4*o + 2*w, w = -5. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, 7, -74, 2, -39, 0 in increasing order.\nAnswer: -74, -39, 0, 1\/4, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 442 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/3 + 5*z**2\/2 + 3*z + 2. Suppose 0 = -h - 0*h - 5. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -210020110121220?\nAnswer: 210020110122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-55)\/45 - -6) + 2\/9. Suppose 0 = -m*q - 12 + 27. Suppose -3963 = q*i + 25137. What is i rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/19))**(-4\/5))**(8\/17))**(6\/11) assuming w is positive.\nAnswer: w**(192\/17765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 18*r + 290*r**2 + 16*r - 252*r**2 - 4 = 0.\nAnswer: -1, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -114?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/41172 and -55\/2.\nAnswer: 41172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4bbc + 0?\nAnswer: -4bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108757919 to the power of 1\/3, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**3 + 5*o**2 - 4. Let a(g) = 2 + 3*g - 88*g**2 + 86*g**2 - 3*g**3 - 3*g. Determine 5*a(n) + 2*s(n).\nAnswer: -3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c - 3*l = -28*c + 556, 548 = 5*c + l. Let z(a) = -a**3 - 3*a**2 - 4*a + 1. Let k be z(-4). What is the highest common divisor of c and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 + -105. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/17 - 728\/(-238)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943011791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5097.769 centuries?\nAnswer: 6117322.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97.1 - -234.6. Let m = r - 331.703859. Round m to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.8 (b) -263 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1909.952ml to litres.\nAnswer: 1.909952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezb when three letters picked without replacement from eszhb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 2*c**2 - 4*c - 1. Let t be i(3). Let h = 8 - t. Let y = h + -7. Solve -y*p + 0 = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 4 (c) -1\/3 (d) 0.02 (e) 0.05603\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.0665228, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 - 2*z + 15. Let v(b) = b**2 - 115*b - 473. Let n be v(-4). Let a(u) = -9*u**2 + 3*u - 30. Give n*a(o) + 5*j(o).\nAnswer: -2*o**2 - o - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*s - 10 - 5, 0 = 4*s - 5*i + 7. Suppose -s*f = -3*f + 10. Solve 4*k + 5*z - 11 = -36, -f = k + 2*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-131)\/((-20043)\/102))\/(42\/(-81)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > -2\/2155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 3:39 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68) - (-1 + sqrt(68)))**2*-6 - (5*((sqrt(17) + 1*sqrt(17) + sqrt(17) + 1 + sqrt(17) - sqrt(17)) + (sqrt(17) - (-1 + sqrt(612)))))**2.\nAnswer: -1807 + 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 79*q + 716. Let v be a(-9). Solve 5*r = 3*i + 4*r + 5, v = 2*i + r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.24 - -33.28\nAnswer: 75.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x - 41*x)*(0 + 3 - 5) + (-80 + 30 + 33)*(-5*x + 4*x + 3*x) + 3*x + 2*x - 1 - 6*x.\nAnswer: 47*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v**3 - 4744*v**2 - 6344*v + 6336 = 0. Calculate v.\nAnswer: -2, 2\/3, 792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = 90. Let o(s) = s + 23*s**2 - 45*s**2 + u*s**2. Calculate o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*2\/36*18\/60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -28.2. Let b = 0.23 + 0.07. Let g = 0.05 - 4.05. What is the third smallest value in g, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/459 and -83\/2076.\nAnswer: 317628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414990046.\nAnswer: 2, 449, 521, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(275)*5 - ((sqrt(275) - (sqrt(275) + 0 + sqrt(275))) + 4)**2)*-4.\nAnswer: -2328 + 920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/i**(-2\/11))\/(i**(-1\/2)\/i)**47 assuming i is positive.\nAnswer: i**(1687\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 30. Suppose 2*y - 7*y = s. Suppose y = 6*f - 14*f + 8. Solve 4*w - 10 = -v + 3*v, w = f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1190490 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 3. Let r(d) be the first derivative of -d**4\/4 - 5*d**3\/3 + 5*d**2\/2 - 6*d + 7989. Give r(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dda when three letters picked without replacement from {d: 7, a: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**3 - 813 - 838 - 817 - 813 + 4092 - 813.\nAnswer: 11*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*s**5 + 7*s - 508 + 508 wrt s.\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 1, o: 1, k: 1, r: 7}. What is prob of picking 1 o, 1 k, and 1 h?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -474 + 489. Solve 4*j + o = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5473*n**2 - 2842*n**2 - 3 + 3 - 2500*n**2.\nAnswer: 131*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let j be n - (2 - 3)\/1. Suppose -5*f + 2*f = -q + 1, 0 = -3*q + 5*f + 7. Solve j*t = -5*t, -q*u - 4*t + 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 999*v**2 + 3*v - 2. Let p be x(2). Round p to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94382 divided by 82.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 5 (b) 2\/5 (c) -101 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v**2 + v + 1. Let j = 52505 - 52332. What is the remainder when j is divided by n(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 + 2*f**2)*(5*f**3 - f**3 - 2*f**3) + 4*f**5 + f**5 - 3*f**5 - 28*f**5 - 26490*f**4 + 26*f**5 + 30109*f**4.\nAnswer: 4*f**5 + 3619*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -0.169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474482950.\nAnswer: 2, 5, 349, 27191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 + v - v)*(50*v + 52*v - 22 - 98*v).\nAnswer: -12*v**5 + 66*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9674428 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (375 + 0)*25872768\/432. Round s to the nearest 100000.\nAnswer: 22500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, 1 t, and 1 n when four letters picked without replacement from qqbntnbttttnvtqtqqt.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 39*o**3 - o**2 + 2*o + 2. Let s be f(-1). Let i = s + 45. Let v(b) = -4*b - 2 - 6 + i. Let m(p) = p + 1. Determine 5*m(n) + v(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - 2.4. Let f = -16 + 15. What is the closest to 0.1 in -4\/7, f, i?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 1 + 0 + -165 + 363 + -183.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 - 169436*h - 338864 = 0. What is h?\nAnswer: -84716, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 235, 469, 703, 937, 1171, 1405?\n\"Answer: 234*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0316 - -0.3176. Is g at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1403*c**4 - 1041 wrt c?\nAnswer: 5612*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = -2*b + 5*s + 302, -4*s - 1444 = -2*b. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-25) - 136\/(-10)) + -2. Calculate the greatest common divisor of h and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (5 - -1 - (24 + -13))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21168672859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010102 (base 3) to base 5.\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + 124439\/(-19110). Let i = r + 74\/39. Find the common denominator of i and 254\/(-12) + 1\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 25, 35, 47, 61, 77?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 10925517?\nAnswer: 8740413.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j + 239 = 8998. Calculate the remainder when j is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3531066.\nAnswer: 2, 3, 7, 11, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/9)\/g**(-1\/7))\/((g**(-6)*g)\/g*g**(-1\/12)))\/((g*g\/((g\/g**(2\/7))\/g))**(1\/2)\/(g**(1\/2)*g*g**7)) assuming g is positive.\nAnswer: g**(485\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in minutes?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Suppose l*v = -9 - 3. Let y(f) = -2*f**2 + 4*f + 5. Let p(o) = -o**2 + 3*o + 4. Let d be 4 - (-14 + 12)*(-2)\/4. Determine d*y(u) + v*p(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g + 4. Let k(j) = 2*j**2 - 7*j + 9. Let c be k(4). Is i(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.404802mm in centimeters?\nAnswer: 0.8404802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.47843 litres in millilitres?\nAnswer: 73478.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*y + 284*y - m = -13, 13*y + 18*m - 23 = 22*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183 + -144. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36632 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(1216) + sqrt(1216) - sqrt(1216) - (-2 + -2*sqrt(1216) + sqrt(1216)))**2.\nAnswer: -16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(5) + 0 + 4)**2 + -2*(sqrt(180))**2).\nAnswer: -40*sqrt(5) + 1695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-310)\/(-35) + -9) - (-33)\/5. Let o = -131\/2 - -2755\/42. Let r = -164 - -1150\/7. What is the biggest value in w, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 282 + 17*i - 34*i - 5053 - 8417 + 18*i as d*i + f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3080, 3075, 3070, 3065, 3060, 3055?\n\"Answer: -5*k + 3085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 0*p**4 + 0*p**2 - 9 + 0*p + 12\/5*p**5 - 4\/3*p**3. Find the third derivative of a(c) wrt c.\nAnswer: 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/8*(-20)\/(-14). Sort -1, b, -0.4.\nAnswer: -1, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -17 + (93 - (-2 + 17)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515 (base 7) to base 4.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - 3. Let t(f) = 1. Let g be (3 - 1) + 1 - (10 - 6). Give g*q(m) - 3*t(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = -6*o. Solve -2*y - o*y - 4*t + 19 = 0, -3*t = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524*k**2 - 528*k**2 + 990*k**2.\nAnswer: -62*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*p + p - 803 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -4.95. Let r = p + -0.15. Which is the second biggest value? (a) 0.1 (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.5, -3\/7, -3, 2360?\nAnswer: 2360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2299) + 2.\nAnswer: 4 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74453, -297870, -670251, -1191596, -1861905, -2681178?\n\"Answer: -74482*w**2 + 29*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 504492293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 + -542. Let c = z + 257.00188. Round c to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w + 1. Let o(m) = m - 1. Let h be o(4). Suppose 2*v - h*v + 1 = 0. Calculate q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1070048 by 76432.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -1943\/404?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6260.951 nanograms?\nAnswer: 0.000006260951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 3\/2 (c) 0.03 (d) 1\/4 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 1. Give y(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 920*t + 14. Is z(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506172 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 7*p - 9*p)*(-1 - 2*p**2 + 1)*(-4*p + p - 3*p).\nAnswer: -84*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2287640 * -1.82.\nAnswer: -4163504.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2740.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 3*l**2 - 6 + 0 - 5*l - 3*l**2. Let p = -808 + 803. Calculate b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 + 4*b + 69. Calculate n(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4406 = -248*u + 1050 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 745 divided by 745\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 12410143?\nAnswer: 12410132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.49 - 135.7.\nAnswer: -134.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-84)\/8 - -3). Suppose 0*y + 5*y = 2*x - o, -5*x = -5*y - 30. Solve 4*p + p = s - 21, -x*s + 9 = -p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201 + 225. Let z = 4 + -11. Let p be (-3 - z\/3)*-108. What is the highest common factor of u and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6798 + -6798. Solve 2*l + 5*t = -4, -23*t + 20*t = f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 202014876 and 32872?\nAnswer: 404029752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggi when three letters picked without replacement from {i: 3, g: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 5, -1, 4, -10 in increasing order.\nAnswer: -10, -1, 4, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1678, 1683, 1688, 1693, 1698?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8787 - -8795. Which is the second smallest value? (a) -4 (b) i (c) -9\/2 (d) -1\/9 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + z - 4 - 0, -11 = 5*g - 2*z. Let p be -2 - (-2)\/(-2)*g. Let i be (p\/1)\/((-2)\/24). Solve 0 = -3*v + 6*v - i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 94*h**2 + 7. Let t(c) = 47*c**2 + 4. Determine 7*t(p) - 4*z(p).\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -5*i - 16. Put -5, -1, i, -13 in decreasing order.\nAnswer: i, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2747?\nAnswer: 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) 3\/4 (c) -1.1714 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 238\/22 + (-18)\/(-99). Suppose x = -9*a + 119. Suppose 0 = w - a - 179. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**2\/2 - 7*a - 1. Let d(p) = -3 + 5 - 4 + 0 + 0. Let c(f) = 7*d(f) - 2*u(f). Let b(m) = -9*m. Determine b(c(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217 by -63734.\nAnswer: 217\/63734","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 18\/27*((-9711141)\/110)\/(4\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let i(s) = s. Let g(t) = -t - 11. Let h = 4 - 3. Let l(f) = h*g(f) + 6*i(f). Let a(n) = n - 2. Let j(u) = 22*a(u) - 4*l(u). What is p(j(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - 6 - -12) + 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51.713199 - -2407.513499. Let v = u + -2356. Let j = v + 0.2. What is j rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*b + 26, b - 4*m - 7 = -6*m. Let n = -3 + b. Find the second derivative of q + 20*q**2 - 20*q**2 + n*q + q**3 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215\/63 - -50\/9. Let w = 9\/14 - p. Let z = -11 + 9. What is the third smallest value in z, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63*(-4)\/(-10)*(-1900)\/570?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 70418998 and 1.3.\nAnswer: 70418999.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*h = 276. Suppose t + 7 = h. What is the greatest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 9*w + 15. What is f(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 4*s + 2. Let w be f(3). Suppose -4*b - 1 - 11 = 0, -w*n - 3*b = -96. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4276 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y. Let r(b) be the first derivative of 537*b**2\/2 - 4*b + 8046. Determine x(r(u)).\nAnswer: -537*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.9 and 0.9 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*j**2 - 2*a**3 - 362*a**2*j**2 + 8*a**2*j - a**2 + 2*j**2 wrt j?\nAnswer: 4*a**3 - 724*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 10*x**4\/7 - 201*x**3 - 19552*x**2\/7 - 14736*x\/7 = 0.\nAnswer: -12, -4\/5, 0, 307\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u. Let g(s) = 8*s**3 + 5*s**2 - 11*s + 7. Let k(p) = -g(p) - 6*z(p). Let y(o) = -o**3 - 3*o**2 + 3*o - 4. What is 4*k(j) - 7*y(j)?\nAnswer: -j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 7888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1412*n**3 + 11*n - 53470. Let j(w) = -847*w**3 - 7*w + 32081. Let x(o) = 7*a(o) + 12*j(o). Find the first derivative of x(f) wrt f.\nAnswer: -840*f**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/8 + 8*y**2 + 246*y + 1584.\nAnswer: -(y - 88)*(y + 12)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 + 4*q - 3. Let r(x) = x**3 + 6*x**2 + 4*x - 3. Let u(g) = 5*l(g) - 6*r(g). Let o be (-10*2\/8)\/(3\/6). What is u(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 5*t + 6. Let y(l) = 7*l**2 - 3*l + 1. Let h be y(1). Give n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11441 divided by -4.\nAnswer: -11441\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -1010100100010?\nAnswer: 1010100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2167393*w**3 + 25497577*w**2.\nAnswer: -13004358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/333 and 71\/198.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-165)\/(-20))\/11)\/(((-1872)\/(-32))\/(-39))*-32?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 8:14 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5782 + 5676 - (0 - 27)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 6*c - 7. Let j be t(-7). Suppose j = 2*u - 5*u + 180. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**5\/2 - 2555*c**4 + 348215*c**3 - 11696690*c**2 + 65381935*c\/2 - 21339935 = 0.\nAnswer: -1147, 1, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -351 + 373. What is the remainder when 33 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 2*h - 4*h)*(-2 + 3 + 0) + 65*h + 194*h + 373*h to the form t + x*h and give x.\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148757 is divided by 1054?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541407675 to the nearest integer?\nAnswer: 23268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 77*h - 586. Give l(-7).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(1\/19)*(g**(1\/2))**(3\/19)*((g*(g\/(g**(-2\/7)*g*g))\/g*g)\/g**(-3))\/(g**(3\/7)*g\/(g**1\/g*g)*g) assuming g is positive.\nAnswer: g**(1023\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 0. Suppose m = 27*o - 4*o - 391. What is the remainder when 30 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 38*d**2 - 5*d**2 - 3*d - 3*d.\nAnswer: -43*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.4. Let c = -7.15 + 7.15. Let k = 43.9 - 46.9. What is the smallest value in -4\/7, k, j, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 16. Calculate j(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 954425863 to the power of 1\/3, to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 36780203*h**2 - 2 - 73560420*h**2 + 36780216*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 243*1.9\nAnswer: 461.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b16 - 150?\nAnswer: 9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*i + 733*i + 24748 - 2024 = 0 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 2\/23, -3.03 in increasing order.\nAnswer: -9, -3.03, -1, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 - 87.2. Is -22 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(3\/10)\/r))\/(r**(-7\/6)*r) assuming r is positive.\nAnswer: r**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -16962 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 + c - c)*(-5 + 0 + 4)*(-69 - 45 - 36).\nAnswer: 1050*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*s**2 + 6*s - 2*s - 4*s - 5*s.\nAnswer: -103*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*i = -622*i + 68. Calculate the lowest common multiple of i and 7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 5:04 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 12175856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -66. Let f be c + 8 + 1 + -10 + 6. Solve -5*r = f*x + 24, -5*x + 0*x - 21 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, 0, -0.3, -2399, 2\/7, -0.34?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49422.7 millilitres in litres?\nAnswer: 49.4227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/24 - 10*u**3\/3 - 6*u**2. Let n be y(-20). Suppose n = i + 3*i. Solve -j + 3*j + 8 = i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - o + 330 = 0, 2*s + o - 20 - 112 = 0. Calculate the remainder when s is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 0*h)*(1 - 81 - 6) + 0*h - 3*h + 2*h + (2*h + 3 - 3)*(1 - 2 + 2).\nAnswer: 259*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 130573, 261134, 391693, 522250, 652805, 783358?\n\"Answer: -z**2 + 130564*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -29*l - 204. Put 2, 0, 11, l in descending order.\nAnswer: 11, 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4075 + -4044. Calculate the greatest common divisor of 403 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 438\nAnswer: -5\/438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-four fifths of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*a - 735 = 921 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351 + 381. Solve -7*k - z = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Suppose -316 + 296 = -4*k. Suppose -k*v = -2*v + 21. What is the third biggest value in a, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 8. Let u(n) = -1680*n - 2063. Let q(o) = -u(o) - 5*z(o). Find the first derivative of q(s) wrt s.\nAnswer: 1685","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from jeljeeejjllljjjelj.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y + 0*y - 2*y - 18*y - 42 - 2*y to s + m*y and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 3*j**4\/8 - 15*j**2. Let f(x) = -2*x**2. Give m(f(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394 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: What is the second smallest value in -3\/2, -0.4, -0.1, -11, 1, 2\/15, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.561017ml to litres.\nAnswer: 0.001561017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -29. Let l be (-17)\/2*(c - 9). Suppose f - l = 9. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*m**2 + 15\/2*m - 25\/4.\nAnswer: -5*(m - 5)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*k + 4*m, 4*m = -16. Let h be (-129)\/(-215)*10\/(-28)*16\/(-12). Is k smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38251275043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let b be c\/(-2)*-2*17. Let i be (34\/(-4))\/((7 - 6)\/(-2)). Calculate the highest common divisor of i and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r, 4*f - 2*f = -3*r + 7. Suppose 4*d = 0, 0*p + 4*p + f*d = -24. Let i be 8\/3 + p\/9. Solve -a - 4*v = -i, 2*a - 1 = 3*a + v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*-15*42\/(-35)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985089.\nAnswer: 3, 7, 61, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - g - 3*g + (4 + 2 - 5)*(3 - 2*g - 3) + 0*g + 6*g - 3*g + (3 + 0 - 4)*(0*g + 0*g - 2*g) - g + 5*g - 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101202001112 + 1220102?\nAnswer: 101210221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 13*t + 22. What is the units digit of a(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/120, 2\/21, 2\/5, 5, 1\/2, -1\/25, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(12)\/sqrt(4))*2 + -4.\nAnswer: -6 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3*b + 5*b + 0*b + b + b + (5*b - 3*b - 4*b)*(-1 + 2 - 3))*(4 + 4 - 6).\nAnswer: 16*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = -p, -j - p - 13 = 2*j. Put 5, 1, j in decreasing order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7835124 divided by -132?\nAnswer: -59357","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -0.0643*-541448\nAnswer: 34815.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15733011 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29678 or 29680?\nAnswer: 29680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 77*z**2 - 73*z + 576. What is the units digit of a(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 8284?\nAnswer: -8280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4301.009ml?\nAnswer: 4.301009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*z + 31*z + 1484 = 87*z. Solve 5*m = -5*u - 15, 0 = u + 10*m - 7*m + z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2110*g**4 + 2324*g**2.\nAnswer: -50640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9.052+-391\nAnswer: -381.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:36 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 29*j - 15. Let n(y) = 6*y + 1. Calculate c(m) + 16*n(m).\nAnswer: 125*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*x - 17*x + 1184220 = 23*x. Which is greater: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*o**2 - 3*k*o - 265*k*r - 9*k + o**2*r - o**2 - 14*o*r + o + 6 wrt k.\nAnswer: -o**2 - 3*o - 265*r - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 95170.\nAnswer: 285510","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 4 + 4)*(2*z**2 - 3*z**2 + 4*z**2)*(57 - 27 - 25) + 2*z**3 + 4*z**3 - 7*z**3.\nAnswer: 74*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -43*q**2 + 73*q**2 - 32*q**2. Let a(b) be the third derivative of -b**2 + 0*b**3 + 0*b + 0 - 1\/24*b**4. Determine a(p(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 545.622 and -3.\nAnswer: 542.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6355 - -8187. Calculate the smallest common multiple of 2519 and j.\nAnswer: 20152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5408614*t**3 + 3*t**2 - 635471*t + 1.\nAnswer: 32451684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6247466 (base 10) to base 11.\nAnswer: -35878a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -181*q**2 + 917*q + 2448. What is t(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -465, -2261, -7247, -17019, -33173, -57305, -91011?\n\"Answer: -266*s**3 + s**2 + 63*s - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 135?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/3 + 11*r**2\/2 - 17*r + 31. Let d be i(-13). Differentiate -17 + 8 - d*v**2 - 17*v**2 wrt v.\nAnswer: -52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5125 is divided by 1144.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 4*u + 20. Let f be z(8). Let j = -36 + 54. Let c = f + j. Solve 3*s + r + 7 = 0, 2*r + 4 = -5*s - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let o(a) = 21142208*a**2. What is y(o(t))?\nAnswer: -446992959115264*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007282502454 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1851, -2\/5, -5, 2\/9, 23, 0.6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 66 = 5*y. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156287*c**2 - 2 + 2 - 65823*c**2.\nAnswer: -222110*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45084)\/(-4056) + (-4 + -8 - -1).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/(-51))\/(30\/(-234)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 - 2*d**2 + 1. Let w be -3 + 1 + 1 - -3. Suppose 11 = 3*x - 4*y, w = -x + 2*y + 7. What are the prime factors of i(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*s**4 - 14*s**4 + 94*s**5 + s**5 - 1 + 1 + 3*s**5 - 3*s**5 + s**5 + (0*s**2 + 2*s**2 + 0*s**2)*(4*s**2 - 4*s**2 - 2*s**3) + s**5 + 0*s**5 - 2*s**5.\nAnswer: 91*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65341 and 314759.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqqccqqcqqccc. Give prob of picking 2 c.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzpvljljvzczczv. Give prob of sequence vcvc.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 10*r**2 - 5*r + 147. Let t be p(5). Is 445 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 741 + -507. Calculate the lowest common multiple of j and 260.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 14513.\nAnswer: 145130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**4 + 14*n**3 + 6*n**2 + 3*n**5 + 15*n**3 - 14*n**3.\nAnswer: 3*n**2*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (20925\/33)\/25?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1900) + -2 - (sqrt(171) + (-1*sqrt(171))**2 + -4*(sqrt(19) + sqrt(57)\/sqrt(3))).\nAnswer: -170 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 2*d + 26, 83429*z - 83432*z = -d + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b**3 - 2*b**2 = 0. Calculate b.\nAnswer: -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93210 is divided by 30684?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1603 + -146066?\nAnswer: -144163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/20 - x**4\/3 - 5*x**3\/6 + x**2\/2 + x. Let j be c(5). Let a be j\/2*(-2 - -4). Solve 2 = y - a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 113*c**3 - 2*c + 1. What is the remainder when m(1) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkhhok. Give prob of sequence xkox.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.34 < 7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*q + 112 + 33 = 0, -109 = -g + 4*q. What is the greatest common factor of 25 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3017718 and 8824539.\nAnswer: 582419574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03472 and 58822472.\nAnswer: 58822471.96528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1758.8808 to the nearest 10.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30867 - 0.8024207?\nAnswer: -30867.8024207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79200 divided by 144?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*-4*(-8)\/32. Let w be 4 - (t + -1 + -2). Solve -22 - 10 = -w*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.383 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -103?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23010400 a multiple of 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from kkjkkkkjkjkjkk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 0.1 (c) -0.076 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28373, 28369, 28349, 28307, 28237, 28133, 27989, 27799?\n\"Answer: -u**3 - 2*u**2 + 9*u + 28367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.23413*0.0279.\nAnswer: -0.397132227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6219, -12441, -18663, -24885, -31107, -37329?\n\"Answer: -6222*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388\/19 - -1571\/76. Solve -4*h + w*h**2 + 16 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 2, w: 1}. What is prob of picking 1 v and 2 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*g**2 - 71*g**2 - 72*g**2 - 112*g**2 - 55*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z = -52*z + 107*z + 1080 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 - v + 294. Suppose -3*n - 2*z + 8 = 0, z = -z + 8. Let x be w(n). Suppose -4*k + x = 3*k. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5226951971 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {f: 4, a: 4, b: 2, p: 1, s: 7}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/190 and 1\/1919.\nAnswer: 19190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*w - 76 = -2*w, -42 = -2*q + w. Let c = -5 + q. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w - 101. Let v be r(-11). Calculate the highest common factor of 63 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 993450.1 - 82.1.\nAnswer: 993368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-54) - (-525)\/1080?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*k - 30, -1 = -4*k - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133900.99 milliseconds in days?\nAnswer: 0.024697928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.7. Let z = 0.3675 - -4.6325. What is the second smallest value in 1\/3, z, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*d - 60, -4*s + 3*d = -2*s + 145. Which is smaller: s or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 3\/4, -1670, 2\/23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 - 2120*t - 2122 = 0 for t.\nAnswer: -1, 1061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + -6 + (46 - 32) + -38?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998215257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-400)\/(-250)*15\/84. Factor 0*b + h*b**2 - 8\/7.\nAnswer: 2*(b - 2)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95791?\nAnswer: 95791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 416*l - 210. Let g be o(28). Calculate the highest common factor of 38 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/((x*x**(-9))\/x))\/x)*x**(-1\/8)*x\/(x**12*x)*x\/(x*x\/(x*x**(-1\/6))*x) assuming x is positive.\nAnswer: x**(-511\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 1, -24071.\nAnswer: -24071, 1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 5*g - 1. Determine r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*y + 27*y - 135*y**2 + 27*y**2 + 20*y to a*y**2 + t*y + v and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - -4 - (1775 + -1729).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 y when four letters picked without replacement from {o: 1, u: 1, y: 4, w: 5, p: 3}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/11*((-3)\/(-6))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736114 is divided by 245146?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 + 70*f + 71 = 0.\nAnswer: -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 6:28 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/36*-2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -777.2292194 to 2 decimal places.\nAnswer: -777.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/5)\/((-5)\/(-125)). Let k be (-23)\/(-6) - 5\/s. Let h(x) = x**2 - 4*x. Let a be h(5). Solve 3*d + 31 = -a*v, 2*v + 8 = -d - k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -2\/13 (c) 0.02 (d) -3 (e) -2029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.118565 to one decimal place.\nAnswer: 260.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (29 + (-10 + 15 - -3) + -12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146 and 24382?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - g - 22 = -10, 4*k - 4 = 5*g. Let h be (1210\/k)\/(-1 - (-4)\/8). Suppose -a + 487 = 4*c, 0*a - 2*a = 5*c - h. List the prime factors of c.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 3:17 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 9*b**2 - 4*b + 40. Calculate j(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44765)\/140 + 308)\/(2\/8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 594 = -y. Calculate the common denominator of ((-2)\/20)\/(6\/335) and 1\/1*y\/44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g + 1. Let k(x) = 8*x + 1. Let c be 3\/5 + (-299)\/65. Calculate c*k(o) + 5*f(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8*w**2 + 7 - 4 to f*w + c + n*w**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/13 (b) 4 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4134, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -12.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 8*c**2 + 8*c - 7. Let p(r) = -8 - 19 + 4620*r - 4610*r. Let t be p(2). What is j(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64205917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-30)*6\/8. Let t be 12038\/4630*(-1)\/(-13). Which is the third smallest value? (a) g (b) -3 (c) 3\/5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (222\/(-21))\/(-2) + (-26)\/91?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 185 = -3*h. Let i = h + 89. Let f = -262\/5 + i. Which is the nearest to f? (a) 3 (b) -3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 168, 238, 288, 312?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 + 14 = 0. Suppose 5*x - 6 = 2*v, -2*x - a*x + 14 = 3*v. Calculate the common denominator of 589\/180 + v\/(-9) and -85\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -6 - 7 - (0 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -56. Let p = k + -10. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48735612 is divided by 48735610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-192)\/(-80))\/6)\/((-8)\/25)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 7:21 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**5\/20 + f**4\/2 - f**2\/2 + 8*f. Suppose 10 = -3*p + 2*j, 2*p = 5*j - 2 + 10. Determine n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -10. Let s = 6 + t. Suppose s*w = 2*w + 9. Is w at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 311.134 kilometers?\nAnswer: 31113400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -775, -6524, -22493, -53932, -106091, -184220?\nAnswer: -293569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/15 - 2*j**4\/3 - 8*j**3\/3 - 6*j**2. Suppose k(q) = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*j + 11, 188*t - 190*t - 17*j = 61 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 1, v: 2, x: 1, m: 2, d: 1}. Give prob of sequence hx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8 + (1 - 0). Let m be (4\/(-8))\/((-1)\/8). Let q be (m\/6)\/(28\/(-12)). What is the nearest to q in f, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -411 + 685. Let m = z - -13. Let r = -286.99305 + m. Round r to four decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let j be 12\/10*(-15)\/(-6). Let q(s) = 5 - 2 - 3 - j*s**2. Give i(q(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77078, -77122, -77166, -77210?\n\"Answer: -44*i - 77034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 22 - -14 - 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 10*a**2 - 23*a + 16. Let o be r(7). Solve 4*t + o*t - 2*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c - z - 2*z, 0 = 2*z. Suppose -c - 7 = 3*n - 5*y, -y + 2 = 5*n. Is 2\/185 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*g = -12, -u - 3*u = 5*g + 15. Let w be 6 - 1 - u\/(-2). Suppose -4*n = -w*n. Put -4, n, 3 in descending order.\nAnswer: 3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94.1 times -0.0523\nAnswer: 4.92143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141 - 236565?\nAnswer: -240036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 313786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -8, -3, 14, -10, -3678, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**5\/4 - 9*n**4 + 27*n**3\/4 - 3*n**2\/2.\nAnswer: 3*n**2*(n - 1)**2*(5*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-10 - (-5 + -1 + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -71*g + 490 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1011111 (base 2) to base 4\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000642802046 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 276, -0.5, 3586?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 2\/33 (b) -0.5 (c) 2\/19 (d) -0.14 (e) -0.32 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/27 - -2\/27. Factor w*o + 0 - 1\/3*o**2.\nAnswer: -o*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/120 - i**5\/12 + i**4\/6 + 2*i**3\/3 + 5*i**2. Let g = 7 - 11. Let a = 0 - g. Give m(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - -55?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, -0.0728 in decreasing order.\nAnswer: 0.5, 0, -0.0728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-1\/3))**(1\/14))**(-1))**(-20))**(-9\/7) assuming v is positive.\nAnswer: v**(30\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 2*n - 70, 2*n = 577 - 477 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 + -231. Calculate the highest common factor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Suppose 2*s + 0*s + 4 = 0. Let x be -2 + (0\/d - s). Solve x = 3*j + 2*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 572589727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/2292222263 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -67. Let q be (-86)\/(-10) + 2\/5. What is the remainder when (-54)\/(q\/(-3))*2 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4806327 greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28, -123, -280, -499, -780, -1123?\n\"Answer: -31*c**2 - 2*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -27*q**2 + 51*q + 6. Let c(l) = 5*l**2 - 10*l - 1. Let f(k) = 11*c(k) + 2*s(k). Let t = 1 + 3. What is f(t)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12)*(-4124)\/6. Let y = -23 - -138. Let h = p + y. What is the biggest value in h, -3\/7, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/52 - -11\/13. Find s, given that d*s**5 - 3 - 75\/4*s**2 - 21\/4*s**4 + 57\/4*s**3 + 12*s = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*m + 3*m - 2*m)*(-3*m**3 + 9*m**3 + 10*m**3).\nAnswer: 16*m**4 + 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 164.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.863526085 to 4 decimal places.\nAnswer: 8.8635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 - 50*u + 43. Let p(c) = 2*c**2 + 16*c - 14. Let q(y) = 11*p(y) + 4*v(y). Does 2 divide q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**6\/360 + i**5\/120 + i**4\/24 + 10*i**3\/3 - 7. Let a(o) be the third derivative of q(o). Let z = 0 + -2. What is a(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17963 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 171, 173, 175?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*o - l = 3, -5*o - 3*l - 17 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from fqccccuacccfca?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/12708 and -137\/95310.\nAnswer: 190620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29944126, 59888204, 89832284, 119776366, 149720450, 179664536, 209608624?\nAnswer: 239552714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 + 124*a**3\/5 + 2042*a**2\/5 + 744*a + 360.\nAnswer: 2*(a + 1)**2*(a + 30)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert b439 (base 12) to base 7.\nAnswer: 111141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, -2\/7, -4\/153 in decreasing order.\nAnswer: 232, -4\/153, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4152 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 - 8770?\nAnswer: -8770.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmd when four letters picked without replacement from mmmmdmmdmmmmmmmd.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-170))\/(-12)*(-2)\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*o**3*q**2*r**3 - o**3*q*r**2 + 4*o**3*q + 15*o**3*r**3 - 8*o**3 - 9*o**2*q**2*r**2 wrt r?\nAnswer: 426*o**3*q**2 + 90*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 473468340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43929203*d**3 - 13310325?\nAnswer: -131787609*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1162834581016 - 1162834581537.999998793. Let r = -522 - j. What is r rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/180 and -99\/970?\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 17, 38, 67, 104?\n\"Answer: 4*h**2 + h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 + 84*y**4 - 453*y**3 - 1162*y**2 - 624*y.\nAnswer: -y*(y - 78)*(y - 8)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4*y + 7)*((-5 + 2 + 1)*(18 - 31 + 23) + 1 + 2 - 2).\nAnswer: 76*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h*j*o*w - 22*h*j*o - 2*h*j + h*o*w + h*o + 473*h*w + 14*j*o - 2*o wrt j?\nAnswer: 3*h*o*w - 22*h*o - 2*h + 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vswsvvrvrvv. Give prob of sequence rwvv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37505315, -37505307, -37505279, -37505219, -37505115, -37504955?\n\"Answer: 2*m**3 - 2*m**2 - 37505315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30 (b) 7 (c) 3\/215 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541909 is divided by 541875.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.01 - 0.01. Let w = n - 11.06. Let i = 5.06 + w. What is the nearest to -1 in i, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 12. Suppose 0*x + g = -x. Is (-1 + 3)*(-255)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407996000 rounded to the nearest one million?\nAnswer: 408000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49555 and 146309680?\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + (-2*sqrt(243) - sqrt(243))*6 + sqrt(243) + -5*(sqrt(243) - (0 + sqrt(243) - sqrt(243))))**2*6.\nAnswer: 642978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 103\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 67 = 5*j + 119, 3*j + 108 = 3*w. Let l be j\/56 + (-2)\/(-7). Sort l, -3, 0 in descending order.\nAnswer: 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 7:38 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.594252ns in seconds?\nAnswer: 0.000000006594252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {y: 1, i: 1, b: 1, s: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1718178004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*h + 2*h = 29, 4*t - 2*h = -22. Let m(u) = -u - 2. What is m(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11574 (base 13) to base 12.\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9783 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -x + 865, -4*x - x = 5*a - 4345. Suppose -v - 1277 = -4*i + x, i - 537 = 2*v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 10 = 181946*g - 181941*g, 3*g + 3*l = 5*l - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1 + 8 + 0 + l. Let c = 0 + -6. Give g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 688 = -10*w. Suppose -3*c + w = -22. Let j(h) = h**2 + 5*h + 4. Calculate the lowest common multiple of c and j(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 962.\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171770000 rounded to the nearest 1000000?\nAnswer: 172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 65967*q - 527677. Calculate c(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 12*q + 7. Let g be p(6). Suppose g*l - 2*l + 2*u - 348 = 0, -4 = -u. Is l - 0 - (0 + -3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3310 + -3312. Let s = 8 - 6. Let q = -647\/8 + 81. Put v, s, q in decreasing order.\nAnswer: s, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n + 1 - 3 + 463*n**3 - 2*n**4 - 464*n**3 in the form j*n**2 + o*n**3 + l*n + p + g*n**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3 - 2 - 4\/24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdjj when four letters picked without replacement from {j: 3, d: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from mmmcmcmmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = -1052 + 986 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 20. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/6 + 2*y**3 + 5*y**2\/3 - 2*y - 11\/6.\nAnswer: (y - 1)*(y + 1)**2*(y + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8602 - -8561) + (-14 + 1 - 1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159076*k - 406710*k - 1060095*k.\nAnswer: -1625881*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744.13 kilometers in nanometers?\nAnswer: 3744130000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1111*y + 1111*y + 5*d - 30 = 0, -5*y - 37 = -2*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 82, 136, 204, 292, 406, 552, 736?\n\"Answer: j**3 - 2*j**2 + 45*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1611, -3, 1 in descending order.\nAnswer: 2, 1, -3, -1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 37*h + 23. Let i(x) be the first derivative of -3 - 46*x - 73\/2*x**2. Let q(b) = 3*i(b) + 5*n(b). Find the first derivative of q(w) wrt w.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k - 36 = -3*v, 5*k + 45 = -4*v. Let m(j) be the third derivative of -j**5\/60 - 11*j**4\/24 - 5*j**3\/6 + j**2. What is the units digit of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001093020924 rounded to five decimal places?\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3 = u + 2*l, 3*l - 6 = -2*u. Solve o + 7 = 5*y, 13 = 5*y - u*o - o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = 5*m. Let f be (-246)\/(-12) - (-1)\/m. Let o be (-49)\/35*(-4 - 1). What is the highest common factor of f and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 73690071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m*m*m\/m**(-2\/71))\/((m\/((m**5\/m)\/m)*m)\/m)**(-3\/14) assuming m is positive.\nAnswer: m**(-696\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/(195408\/75992)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -29 + 206 - 72 - 3*o**2. Let j(z) = -z. Calculate j(g(l)).\nAnswer: 3*l**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 465, 816, 1167?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578 is divided by 386?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -205, -261, -351, -469, -609, -765, -931?\n\"Answer: z**3 - 23*z**2 + 6*z - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54309 divided by 2.\nAnswer: 54309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -148327, -296637, -444933, -593215, -741483?\n\"Answer: 7*q**2 - 148331*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202530297 to the power of 1\/2, to the nearest integer?\nAnswer: 14231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 93 - 963 = 0. Suppose 4*k - l = 84. Let q = k + -35. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 39. Let u(c) be the second derivative of -c**6\/720 - c**5\/20 - 3*c**4\/2 + 11*c. Let p(x) be the third derivative of u(x). What is p(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-128)\/(-224))\/(2\/14). Is ((-4203)\/6 + l)*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 375*c + 378.\nAnswer: -3*(c - 126)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((726\/275)\/(-11))\/(-3)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.061 (b) -7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 + 5*l**2 - 9*l + 8. Let y be q(2). Calculate the greatest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -29*t**2 + 8. Let f(p) be the third derivative of -p**5\/6 + p**3\/2 - 2*p**2 - 9*p. Determine 8*f(s) - 3*w(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818365591?\nAnswer: 89, 103, 89273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70908 is divided by 1725?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -5, 2, -3, -21, 18, -4 in increasing order.\nAnswer: -21, -5, -4, -3, 2, 18, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - d = -72. Let t be (726\/121)\/(6\/d - 0). Solve 0 = w + 3*u - 12, 0 = t*w - 6*w - 5*u + 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*4 - sqrt(1053)) + (sqrt(1300)*1 - sqrt(1300)) + -1.\nAnswer: -1 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -47*(2 + 12\/(-8)). Let z = 26 + l. Which is the third biggest value? (a) -0.4 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 6*x + 2*k + 14, 4*k = 24*x - 60 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23485.4 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021 - -101?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/3053 + -2039364\/15265. Suppose -v = 3*d - 407, 3*v + 387 = 3*d - 0*v. Let l = d + x. Is -0.5 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-10) + 48\/15. What is the third biggest value in r, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*g - 999 + 333 = 153 + 701 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, w: 1, e: 1, v: 4, o: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 371 and 3107.\nAnswer: 3478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9575 rounded to the nearest 100?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - v - 2)*(-3*v**3 + v**3 + 0*v**3).\nAnswer: 2*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, w: 8, p: 3, g: 2, y: 4, h: 1}. What is prob of picking 1 g, 2 y, and 1 w?\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61234856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(95*t + 29*t - 16*t)*((-1 + 1 + 2)*(3*t - 3*t - t) - 7*t + 4*t + 2*t).\nAnswer: -648*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*b + 3*b - 63, 5*b - 112 = -3*s. Let p be -1 + (-116)\/(-14) + (-22)\/77. Calculate the remainder when s is divided by 711\/63 - 2\/p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((-15)\/5)*18\/36*-5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11406491931640 and -0.1.\nAnswer: 11406491931639.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4015344 (base 7) in base 14?\nAnswer: -c50cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**4 - 38*c**3 - 5614103*c**2 - 687698912*c wrt c.\nAnswer: -24*c**2 - 228*c - 11228206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(272))**2.\nAnswer: 14688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1527*h**5 - 3456*h - 1 wrt h?\nAnswer: -30540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 151 and -1.3?\nAnswer: -196.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 0.1, 4, -2\/25, -0.02?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 6*j**2 + 1. Let h be (-24)\/3*3\/(-4). Let z be v(h). Suppose -5 - 18 = -23*x. Is z at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.3. Let j = -0.33 + 0.33. Let m be (-17)\/(-4) + (-1)\/4. Put j, m, r in ascending order.\nAnswer: r, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*b + 334836 = -3349*b - 1069*b - 2058*b for b.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-6))\/(-13)*8\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15993, 63980, 143959, 255930, 399893, 575848, 783795?\n\"Answer: 15996*y**2 - y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 5*z**2 + z - 3. Suppose 16 = 4*k, -3*k + k = -2*s - 14. Calculate the least common multiple of w(s) and 26\/7 + 4\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkb when three letters picked without replacement from kbbkbbbkbkkkbbkkbkbk.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.058 (b) -2 (c) -1 (d) 0.1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a32c (base 16) to base 2.\nAnswer: -1010001100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + (-11 - 1))*-23. Solve -5*x - u = 24, -33*x = -28*x + 2*u + v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnnknbbkvyvyn. Give prob of picking 1 n, 1 b, and 1 k.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 39. Suppose 756 = 3*x + 3*x. Suppose 3*n - 504 = -n. Let b(j) = -2*j - x + n. Calculate h(b(s)).\nAnswer: -4*s**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2004 divided by 2\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**2 + 3*q + 2. Let g be a(-1). What is the tens digit of (207\/g)\/((-6)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 45.4. Which is the nearest to -1? (a) 0.12 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 5471?\nAnswer: -218.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*g + 25, -5*b = 5*g + 28 - 98. Let h be b\/(-27)*(-11 + -1). Is 375\/3 + h - 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-56)\/(-182))\/(23\/(282 + 17)). Let x(h) = -h**2 + h + 2. Let d be x(-2). Let g be 0*2\/d - -2. Solve g = -p*v + 2*c - 16, 1 = -c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 59 = -4*b. Let k(a) = -a**3 - 10*a**2 + 10*a - 19. Let y be k(b). Let u = y - -9. Solve -u = -m - 0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47360440?\nAnswer: 2, 5, 1184011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0130272 rounded to five dps?\nAnswer: -0.01303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from kqjk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -23.8. Let u = -2 - l. Let m = u + 0.1. Which is the closest to m? (a) -5 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96327351?\nAnswer: 3, 103, 103913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41823.386 + -41882. What is f rounded to 0 dps?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 722 divided by -10\nAnswer: -361\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)\/g*g**(6\/11)*(g*g**(-18)\/g)\/g**(-1\/3) assuming g is positive.\nAnswer: g**(-1126\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.37 + -1.3. Let z = 4216 + -4216.33. Let k = d - z. What is the third biggest value in k, -7, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -6 - (-17)\/(255\/120). Solve -312*l - h = -311*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 37 = 2*c + 65, -40 = -2*g - 2*c. Suppose -5*f = 3*q, -21*q - 29 = -3*f - g*q. Solve -p + 4*j = -11, f*p + 0*j - 12 = 5*j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y - 20. Let i(h) = 2*h + 7. Let q(g) = -8*i(g) - 3*z(g). Let s(f) = -f + 5. What is 3*q(c) - 2*s(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/40 and -41\/684872.\nAnswer: 3424360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojqq when four letters picked without replacement from {q: 2, o: 7, j: 6}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(490) - sqrt(490) - sqrt(10))\/(sqrt(160)\/sqrt(8)) + 2)**2.\nAnswer: -2*sqrt(2) + 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.56, 0.1 in decreasing order.\nAnswer: 3, 0.1, -0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l\/l**(-16))*l**25*l assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 217459 and -523?\nAnswer: 217982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13875739 + -0.147757. Let g = -0.009 - y. Round g to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 3*b + 15 + 5*b. Let o be a(-5). Calculate the highest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 24*v**2 + 25*v. Let c be d(-25). Suppose -5*k + 13410 + 16540 = c. Suppose -5*g + 5*r - 2*r = -k, 5*g + r = 6010. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, l: 1}. What is prob of sequence olo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 847328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/20)\/(2\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:27 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - -21) + (-136 - -121) - 35) + -10.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffbffbffffffbbf. Give prob of picking 3 b.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-5))\/(1 + -3). Suppose 2*a + 5*s - 23 = i, 4 = -5*s + 19. Suppose -2*h + a*h = 4. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 13*x + 8. Let l be z(7). Let c = -12 + l. Let f be -4*((-276)\/93 + c). Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2 + (-2 - 1). Let w = 6 + g. Which is the closest to -0.1? (a) w (b) 0.3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-180) - (-28)\/35.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2*(-4)\/64). Let t(y) = 2*y - 6. What is the remainder when 18 is divided by t(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from {x: 4, d: 8, w: 1}?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 1389, 3012, 5193, 7878?\nAnswer: 11013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -446 + 843. What are the prime factors of u?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -95403, -95405, -95407?\n\"Answer: -2*b - 95401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*i - 5 = -21, -2*h = -i + 3. Let j(x) = 14*x + 394. Let l be j(-28). Solve 0 = d - l + h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576 a factor of 435790792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**2 - 3442044*l + 987305574828 = 0?\nAnswer: 573674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(363) + 4 + sqrt(363) + 2)**2 - (-2 + (sqrt(363) + (sqrt(363)*-1 - sqrt(363))**2)*-1).\nAnswer: 231*sqrt(3) + 2931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -1 - 7. Suppose 18*n - 176 = 10*n. Calculate the lowest common multiple of f and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.41 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-4)\/6)\/(268284\/(-5094))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 7923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -44, 91, -2.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -1. Suppose 3*g + 133 = n, -4*n - 2*g + 560 = -a*g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.706 + -1.464. Let r = f - 2.53. What is r rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 53430?\nAnswer: 480870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -117. Let z(w) = w**2 + 13*w + 8. Let i be z(-17). Let q = g + i. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m\/m**(-1))\/(m**(3\/4)\/(m*m**(-1\/4))) assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 2 + 1 + 1 + 1 - 4*s. Let k be g(-4). What is the tens digit of 1 + (-4)\/(4\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2029, 2, -2592\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 14630*q**2 - 73169*q - 87810.\nAnswer: (q - 14635)*(q + 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -15*m + 51 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -369*r + 366*r - 3*i, 0 = -4*r + 45*i + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-3 + 14 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 44856?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 s, and 1 w when four letters picked without replacement from {w: 2, k: 6, s: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 543. Suppose -5*u - b = -3*x + 146, u = 5*x - 157. Let a = u + 206. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/238 + (-2)\/(-35)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -37*f - 33. Let g be l(-1). What is the derivative of 25 - 8*k - 2*k**g - 33 + 16 wrt k?\nAnswer: -8*k**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840021827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*l + 22 = 3*m, 5*m + 4*l - 40 = 0. Suppose 3*r + 2 = m*r. Let j(g) = g**2 + g - g - g. Give j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 226005443?\nAnswer: -226005443.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/5 - 2346*w**2\/5 + 2349*w\/5.\nAnswer: -3*w*(w - 1)*(w + 783)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2022 and 66.\nAnswer: 22242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129919700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18186 divided by -1?\nAnswer: -18186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, g: 3, k: 1, d: 2}. What is prob of sequence ggd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t - t**2 + 3*t**2 + 156*t - 1796*t.\nAnswer: 2*t**2 - 1613*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94552 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-1210)*(-15)\/(-6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -59*v - 568. Give x(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30768601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -183 + 3*p + 565 - 6*p**3 - 168 - 14*p**3 - 190 - 2*p**4 as j*p**3 + z*p**2 + o*p**4 + a + v*p and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12d - 0?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 211.29414ns?\nAnswer: 0.000000003521569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 315. Let b = o - 5. Let f = b - 21. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 13*n + 20. Let i = -116 + 105. Let q be f(i). What is the greatest common divisor of 63 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6116 - 0.611568548. Round b to 7 dps.\nAnswer: 0.0000315","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 14*d + 161. Let b be w(-21). Solve -144 = -b*q + 50*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 49*d = -121*d - 212*d - 20368 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 8*n**2 + 5*n - 28. Suppose 0 = a - 2*h - 14, 5*a + h - 39 = -2. Calculate the smallest common multiple of v(a) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, v: 1, c: 11}. Give prob of sequence vcr.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -192b0 (base 14) to base 8\nAnswer: -174252","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 293836.39 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-295)\/118*(-12)\/(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152460 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5)*(-o**2 - 35*o**2 - 40*o**2 + 2*o).\nAnswer: 76*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*b**2 + 21*b*i**2 + i**2 + 143 wrt b.\nAnswer: 58*b + 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) 0.1 (b) 4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2 - 2 - 82*w - 75*w + 163*w + w**3. Determine t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*n - 6, -10*n - 27 = 5*c - 14*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - t + 8 - 7 - 838*t**3.\nAnswer: -838*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012201102 (base 4) in base 6?\nAnswer: -10105134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpuzzpzzuzupzuzpz. Give prob of sequence zz.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 556 and 377?\nAnswer: 209612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145480.\nAnswer: 2, 3, 5, 19, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279 + -279. Suppose 13*t + z*t = 650. Calculate the remainder when 179 is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*x + 20, 2*a - 14 = -a - 4*x. Calculate the remainder when a is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (9\/(126\/16) - 15\/735*203)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 4*s**2 - 4*s - 8. Let i be h(-2). Suppose i = 2*k - 8, -a - 5*k = -28 + 3. What is the remainder when 6 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(0 + 4 - 2)*(4*k - 2*k + 0*k) + 2*k - k - 3*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*r - 51. Suppose -5*u + 15 = -r. Solve 0 = 3*n + q - 2 - 2, 2*n - u*q = 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5086 - -12253. Suppose -5*a = 4*j - k, 2*j + 4*a + 0*a = 3582. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 3*o - 2, -8*z + 13*z + 5*o + 30 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-14\/3)*y)\/y*y)\/(y*y*y*y**21*y)*(y**(-13)\/y)**(-1\/24) assuming y is positive.\nAnswer: y**(-337\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ququuuuuuququq.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 32. Let h be m(0). Suppose -6*i - 182 = -h*i. Sort 5, i, -2.\nAnswer: -2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 2 (b) 109 (c) 5\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 + 151852*b**3 + 215801*b?\nAnswer: 24*b**2 + 911112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 83234*m**5 - 83227*m**5 - 5 + 64*m**2 + (2 - 4 + 4)*(-m**2 - m**3 + m**2)*(-3*m**2 - m**2 + 5*m**2).\nAnswer: 5*m**5 + 64*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 160 = 5*f, k + 281134*f = 281139*f + 2 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n*o + 1887*n*r**2 - 25*o*r**2 - 2*o*r - 140*o - 2*r wrt n.\nAnswer: -3*o + 1887*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 0.4, 1.1, -277.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6188 = -5*l - 12*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 42*u - 2*u**2 - 23*u + 36*u + 0.\nAnswer: -2*u**2 + 55*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1 - g + 0*g**2 + 2*g + g**2 - 6*g. What is j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 18 = 2*w, 2*w + 7 = -3*g - 3. Let r(x) = x. Let p = 11 + -8. Let d(m) = -4*m + 2. Calculate p*r(n) + w*d(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldldddddldddddlddl. What is prob of picking 3 d?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-21)*(-1)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38326170367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 74 (b) 0.4 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802*p + 933*p = -262. Let d(r) = -r - 1. Let k(h) = 1. Give p*d(c) - 6*k(c).\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278572.\nAnswer: 2, 7, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -274809, -549201, -823593?\n\"Answer: -274392*m - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 26\/901?\nAnswer: 26\/901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*t**5 + 4*t**4 + 14*t**3 - 3*t**2 - 17*t + 2318.\nAnswer: -140*t**3 + 48*t**2 + 84*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2889 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 509262781+-322641\nAnswer: 508940140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - (-1)\/4 - 1. Which is the closest to n? (a) -4 (b) -1 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-120)*(-6)\/(-8)*-6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -8, -79, -236, -509, -928, -1523, -2324?\nAnswer: -3361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2117)\/(-7) + (72\/56)\/(-3). Let h = l - 174. Suppose -7*m = -3*m - h. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7052 + -7042. What is the remainder when 898 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-110))\/((-84)\/(-616)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**2\/a))\/a)\/a**1*(a\/a**(2\/3))**(-2\/35))\/((a**(1\/4))**(-14)\/((a\/a**(-2\/5))\/a)**(2\/87)) assuming a is positive.\nAnswer: a**(605\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23c9c (base 14) to base 4.\nAnswer: -111120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/((0 - -1)*1). Let n = -23 - -99. Calculate the greatest common factor of n and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - x - 244 = 0, -5*z - 2*x - 104 = -396. Let q(b) = -z + 60 - 11*b**2. Let y(g) = -2*g. Determine q(y(h)).\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*u - 7757, -123*r - u = -120*r - 4663. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w - 1. Let u(m) = 14*m**2. Give i(u(j)).\nAnswer: 70*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3351 - 2606?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2176895 or 0?\nAnswer: 2\/2176895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 796 and 4776.\nAnswer: 4776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331.3 + -2159405321?\nAnswer: -2159400989.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 5*o + 5. Suppose 160 = -37*z + 41*z. Suppose 32*r - 40 = z*r. Let h(t) = 4*t - 3 + 6 + 1. Calculate r*h(l) + 4*a(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 - -5?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.59384 milliseconds to seconds.\nAnswer: 0.09059384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/86*3 - ((22 - -12) + -38)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 72 = 8*d. Suppose 18*n = 20*n - d. Find k, given that -70*k - 28*k - 5*k**2 - 320 + n*k + 0 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.3, 2, 473?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lol when three letters picked without replacement from zlllczcllzlllooo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208094603 is divided by 3843.\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1435 - 17590 = -5*a. What are the prime factors of a\/15 + -2 - 20\/50?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 10:14 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**3 + 13*t**2 - 2*t. Determine n(6).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 29 = 4*z, -3*z - 8 = -j - 0*j. Let a(x) be the third derivative of -x**2 - 1\/24*x**4 - 1\/6*x**3 + 0*x**5 + 1\/40*x**6 + 0*x + 0. Calculate a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 489 + 113. Suppose -2*d + 6 + 4 = 0. Let y be v\/(-3) - d\/(-15). Is -13 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*k + 4499854 - 4501702 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(153) + -1)*-4*-3 + -2*(((sqrt(153) - (sqrt(153) + sqrt(153)*2)) + 3)**2 + ((sqrt(153) - (-3 + sqrt(153) + -1))**2 - sqrt(153))))*6.\nAnswer: -7716 + 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22592, -22551, -22522, -22511, -22524?\n\"Answer: -i**3 + 48*i - 22639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.53 to one dp.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -0.05. Let i = 1104 + -1103.8. What is the nearest to i in -0.3, -3\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 7*w**4\/3 + 4*w**3 + 23*w. What is the second derivative of h(s) wrt s?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12774, -2, 0.37?\nAnswer: -12774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o + 28 = -59*o. Sort o, 9, -1, 1 in increasing order.\nAnswer: o, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26105 (base 9) in base 4?\nAnswer: 10102232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 + 20.3. Let j = n + -25.00001126. Round j to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -279 - -793. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9859119 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -428*o**2. Let b(x) = 2*x**2. What is b(r(d))?\nAnswer: 366368*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.3 minus 0.567?\nAnswer: 44.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 1. Let a = -44 + 52. Let d be a\/(-24) - 16\/6. Let n(l) be the third derivative of l**4\/24 + l**3\/6 + 4*l**2. What is d*n(w) + 2*f(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 2*j - 1. Let b be v(-2). Solve -5*a - 4 = -y - b, -3 = a - 3*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3527977439 to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 - 14 = 0. Suppose 0 = -r*p + 5*z + 1005, 5*p - z - z = 996. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*v + 25. Solve v*a = -20, -s + 2 = 2*a + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*u - 3320 + 38360. Put u, 5, 2 in ascending order.\nAnswer: u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naanaaaann. What is prob of sequence aa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -0.3, -1\/163, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**7\/56 + x**6\/15 - x**5\/20 - x**4\/8 + 7*x**3\/24 - x**2\/4 + 4*x. Find b, given that y(b) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/23, -5, -38, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -0.2. Let d = 0.3 - 0.1. Let z = 2.5 + -2.8. Which is the third smallest value? (a) d (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 178?\nAnswer: 5\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2099549273728 and 0.3?\nAnswer: 2099549273727.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 132947356878400*u**2 + 138363360*u + 36 = 0.\nAnswer: -3\/5765140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 15. Let b be m(9). Solve 0 = -3*t - b*x - 3, 0 = -4*t + 2*x + x + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3715500884572 and 0.2.\nAnswer: -3715500884571.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -16*s + 13*s + 163, 160 = 5*y - 5*s. Find the second derivative of -25 - 41*o**2 - 40 + 68 + y*o - o**3 wrt o.\nAnswer: -6*o - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 8 - (113 + -92)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -6 - ((1 + -5 - -12) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*w**4 + 166*w**3 - w**2 + 4175*w wrt w?\nAnswer: 96*w + 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 140463?\nAnswer: -140441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -166, -0.5, 2, -0.46, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-4)\/((-201)\/134).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3932015?\nAnswer: 5, 17, 167, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 652588513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + r - 1 = 0, 2*l - 2*r - r = 7. Let z be 1\/l - (-2)\/(-4). Suppose 1 = s - 1. Is z greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28613831.3 - -61.6?\nAnswer: 28613892.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/6)\/((-15)\/(-2180)). Let a = 489 + q. Suppose -100 = -2*k + 5*r, -4*k + 4*r + a = 59. Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -17*z - 51. Let f be q(-7). Suppose 12*i = -5*i + f. Solve 5*n - i*o - 20 = o, -4*o = n + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 1. Let l(u) = -u**2. Let o = -536 - -778. Suppose -10 = -237*g + o*g. Determine g*l(v) + a(v).\nAnswer: 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9}. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -9. Let k be g\/(-2) - 36\/(-8). Solve 4*h + 12 = 2*r, -3*r + 25 = -k*h + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 2. Let r(y) = -y**3 + 5*y**2 + 6*y - 5. Let l be r(6). Let w be x(l). Suppose -3*t + 7*t - w = 0. Solve -t*o + 0*o = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 54*s + 475. Calculate j(-18).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2338 + 1586147483?\nAnswer: 1586145145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*6 - (-1*sqrt(847))**2.\nAnswer: -847 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v. Let x(n) = -87716*n. Give x(a(l)).\nAnswer: -350864*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1035 + 1726. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3081 divided by 1027.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 20. Suppose t*b = -5*g + 125, -3*g - 45 = -b - 8*g. Calculate the lowest common multiple of 8 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 8*b**2 - 6*b - 3. Let n be f(7). Find o such that 4*o - 4 - 5*o + 4*o**4 + 5*o - 8*o**3 + n*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.1 + 1.1. Put -3, o, 5 in descending order.\nAnswer: 5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -18*w - 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7e + e6ed?\nAnswer: e76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -9. Let o be 6*(-3 + (2 - 0)). Let r be (o\/(-4) + -2)*0. Solve 2*j - 4*x + v = 4*j, -4*j + 4*x - 20 = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 17*t + 273 - 128 = 0. Let a(o) = o + 2. Let c(z) = -z**2 + z + 4. Let d be c(0). Let u(g) = -2*g - 3. Determine d*u(r) + t*a(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3673429 and 2.0847?\nAnswer: 2.4520429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -64*o**2 - 252*o + 4. Calculate l(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 66 (c) 0.05 (d) 5 (e) -2 (f) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 - 4.3. Let z = b - -4.7. Let j = -5 + 4.6. What is the closest to 1 in j, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = 16*m - 21. Let o be (-20)\/(m + 4) - 0\/(-2). Solve 3*f - 4*n = 2*f + 3, -5*n + 15 = o*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 3. Which is the nearest to 1\/4? (a) -1\/3 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408419975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -6\/4363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microsecond in nanoseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 14, k: 4}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76.4 - -76. Let u = 1 + -0.8. Let j = u + 0. What is the third biggest value in c, 2\/3, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/54426 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-24) + 1\/4. Suppose -45*a - 154 + 109 = 0. Sort a, t, 30, 5.\nAnswer: a, t, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/8 - 31\/24. Which is the third biggest value? (a) 3 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 3\/2 (c) 1\/9 (d) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let t be j(-5). Let k(a) = -a**2 + 5*a**2 + t + a**2 - 3*a - 3*a**2. Calculate k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10\/15*(-4)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10768 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fifj when four letters picked without replacement from {n: 2, f: 4, j: 1, i: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1688*c**2 - 109*c - 139. Is f(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2025, 23111, 91337, 224199, 443243, 770015?\n\"Answer: 3591*f**3 - f**2 + 2*f - 5617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwwwjwjwjjwjj. What is prob of sequence wjww?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 5*h + 3. Let z be k(-5). Let x be (z + -2)\/1*33. Suppose -3*v = 3, 2*l - 2*v - 7 - 5 = 0. Solve -l*c = a - 13 + x, 16 = -5*a - 4*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -19 - -3) + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*n - 72*n = 20838. Suppose 3469 = 3*i - 5*v, n = -2*i + 5*i - v. What are the prime factors of i?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 4*v + 102*v**2 - v as l + k*v**2 + p*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -64, -94, -114, -118, -100, -54?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 21. Let h = 74 - 29. Suppose 3 = 8*d - h. Let x be r(d). Solve x*s + 7 = -4*y - 12, 0 = -2*s - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shsssashha. What is prob of sequence sha?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 2*b. Let k be j(1). Let f = -11.19 + 0.19. Let t = 14 + f. Is t greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6*(-36)\/48)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -0.2, -0.1, 0, 46?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2\/9 (c) -22 (d) 5 (e) 12 (f) -6 (g) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuouuouuuoouuooouu?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0, 59\/3, -1\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/((-1 + 2)\/1). Let k = -173 + 261. Calculate the highest common factor of k and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 7*p**2 + 3*p + 10. Is t(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1192 = -2*z + 3*m, -2980 = -5*z - m. Let g be z\/11 + 8\/44*-1. Factor 8*i**4 - 134*i + 12*i**3 + 64*i - 4*i**5 - 16*i**2 + g*i.\nAnswer: -4*i*(i - 2)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178 + -173. Solve -5*s = -20 + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = -11. Let t be f*(-14)\/(-24)*3. Let p be (t + 7)\/(-1 + 2). Solve 3*w + 3*g = p, -2*w = 2*w - g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-9)*((-405)\/(-10))\/(-9)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 64 - 46. Let l = x + -18. Solve -5*m + 9 = l*r, -2*m + 3*r + 0*r - 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62062 rounded to 3 decimal places?\nAnswer: 0.621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**2 - 134*q - 120. What is u(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 3*u + 8. Suppose u*l - 6 + 0 = 0. Solve 3*v - l*y + 9 = 0, 6*v - v - 30 = -4*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5*g*g*g\/((g*g**10\/g)\/g)*(g\/(g*g**(-3)))**19 assuming g is positive.\nAnswer: g**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 at most 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 10*o - 15. Find the common denominator of o\/(-6) - 161\/(-54) and 7\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*x - 2*x. Let r be x\/2 + 3 + -6 + 4. Let f(v) = -v**3 - 2*v**2 + 3*v + 3. Give f(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 10*q**2 + 14*q - 2. Let w be j(6). Let u = 49 + w. Let c = u - -38. Solve 6*x = -2*k + x - c, 2*k = -x - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 9279400*f + 53817040225000.\nAnswer: 2*(f - 11599250)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000111000101 (base 2) to base 10.\nAnswer: -20933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2194271.\nAnswer: 83, 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8608 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -22. Suppose -l = 6*r - 19. Let z be -2 + 14\/2 + -2. Solve r = -3*w, 0 = -4*x + z*w + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4024772924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -52.0000114. What is j rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 + 223. Let g(b) = -2*b**3 - 4*b**2 - 4*b + 2. Let c(j) = -j**3 - j**2 - j + 1. Calculate u*g(m) + 4*c(m).\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-66) + 1520\/2508?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 9.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952582285.\nAnswer: 5, 59, 6618923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6\/(-9))\/((-3664)\/(-19923))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -18. Let r = y - 3. What is the second biggest value in -2\/13, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 1 - (-1)\/(-1). Let b(q) = -7*q - 4. Let l(s) = -6*s - 3. Let p(d) = -5*b(d) + 6*l(d). Let f be p(r). Solve -f*k + 0*k = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2. Let d(z) = -16547*z + 1. Determine d(j(y)).\nAnswer: -49641*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h + 13. Calculate k(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267533.\nAnswer: 2267533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 3243530*d = 0. Calculate d.\nAnswer: -1621765, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/(-15) - (3 + -2). Let l = g + 31\/10. Which is the closest to 1\/3? (a) l (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 20\/5) + 2\/4. Let x(r) be the first derivative of r**3 - 3\/4*r**4 + g*r**2 - 3*r - 3. Factor x(l).\nAnswer: -3*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u**5 + 2745*u**4 + 21117*u**3 - 59469*u**2 + 47856*u - 12276 = 0.\nAnswer: -93, -11, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -132. Is h + 6 + 1629 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**4 + 2*m**4 + 3*m**4)*(2*m + 3*m - 4*m) + 12761*m - 12756*m - 3*m**5 - 6*m**5.\nAnswer: -10*m**5 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 = 7. Suppose -z*n = -2*n - 9. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4*x = -61, 4*c + 4*x + 127 - 278 = -131 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qiiiiqiiiiiiiiiiqiiq?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -70, -109, -150, -193, -238, -285?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5+372\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -223*v**3 + 3*v**2 - v - 3. Let h(n) = -224*n**3 + 3*n**2 - 2*n - 4. Let l(a) = -4*h(a) + 5*t(a). What are the prime factors of l(-1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 5*m**6\/6 - 6*m**5 + 35*m**4\/2 - 80*m**3\/3 + 45*m**2\/2 - 10*m + 30. Factor r(k).\nAnswer: 5*(k - 2)*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -2, -1, -93, 0 in descending order.\nAnswer: 1, 0, -1, -2, -15, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 11*a. Let r(u) = -2*u + 47. What is n(r(s))?\nAnswer: -22*s + 517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.192 from -3.\nAnswer: -4.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m + 59*m + w = 6, 5*m + 2*w - 12 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912749.\nAnswer: 127, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3343*r + 146341 - 76226 + 220726 for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) + 0 + sqrt(2) + 5 - (5 + sqrt(4)\/sqrt(2))**2).\nAnswer: 48*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 138. Suppose 4*x - a = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573603 + 82855 = -34*h + 1130202. What are the prime factors of h?\nAnswer: 5, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2189070?\nAnswer: -1\/729690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l. Suppose -3*z + 35 = 2*z. Suppose 4*x + z = 3, h - 7 = 5*x. Let b(a) = 3*a + 0*a - h*a. Calculate d(b(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*d - 67 = 0, 20 = 3*l + 3*d - 37 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3194, -3193, -3190, -3185, -3178?\n\"Answer: m**2 - 2*m - 3193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 699091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -235356 (base 8) to base 9\nAnswer: -132530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w - 44 = -m, 2*w = -5*m + 184. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.81716 - 0.1.\nAnswer: 0.71716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + r + 8 + 1 = 0, 3*r = 4*j - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 317?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011000010100011101 (base 2) in base 15?\nAnswer: 1277ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2254*k**2 - 2730*k.\nAnswer: 4508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, -3\/2, -3.\nAnswer: -3, -2, -3\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3808181 = 3*v + k, -3*v = -k - 1818762 - 1989403. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 11. Let d be n(-9). Suppose -d*a = -20 + 6. Solve -1 - a = -2*u + 5*y, -5*u + 2*y = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 1. Suppose 0 = -3*s + 5*s - 12. Let d(x) = -8*x - 10. Let y(j) = s*m(j) + d(j). Differentiate y(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*i + 30*i - 5024 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)\/l**(2\/5))**(-1)\/((l**(-1\/2))**(-13\/7)*(l*l**(-1)*l)**(-13\/3)) assuming l is positive.\nAnswer: l**(799\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 2:30 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -2.4. Let l = 11.1 - 10.9. Which is the closest to l? (a) s (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/15)\/(16\/6 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h + 1. Let u(t) = 4*t**2 + 8*t. Let f(r) = u(r) - 4*z(r). Solve f(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3911321 is divided by 1944?\nAnswer: 1937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32034 and 32511981.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffeqrfm. What is prob of sequence fqem?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-54)\/8))\/((-39)\/((-585)\/(-50)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 12) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:22 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015449887 rounded to 6 dps?\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**2)**(16\/7)*(h**(-1\/2)*h)\/h**(-4\/3) assuming h is positive.\nAnswer: h**(-19\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -369, -550, -731, -912?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*l - 2699 = -2282 - 4232 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 40*h**2 - 96*h + 2023. Is g(37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**3 - 62*i**2 + 17*i. Let g(y) = 4*y**3 - 21*y**2 + 6*y. Give 17*g(q) - 6*t(q).\nAnswer: 2*q**3 + 15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 311280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 126 + 123 + 129 + 4*x - x - 383. Let o(w) = -5*w + 4. Let v(z) = -9*z + 7. Let j(i) = -11*o(i) + 6*v(i). Calculate 3*g(c) - 7*j(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(12100\/11)*-4.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-147)\/35)\/(75\/(-875)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -135*v**2 + 8645*v + 67130 = 0. Calculate v.\nAnswer: -7, 1918\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4475)\/(-4) - 3\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/(-130) - 197\/1970.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1383, 1366, 1337, 1296, 1243?\n\"Answer: -6*d**2 + d + 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/5 + 2029177*l**2\/5 + 369285371*l\/5 + 3360421519 = 0.\nAnswer: -2028995, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 0. Suppose 5*y + g + 4*g = 30, y = b*g - 3. Suppose 3*s - 498 = -y*x - 36, x - 5*s = 172. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 83 = 17. What is the highest common factor of 60 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -adcd67?\nAnswer: adcd68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 361 - 292. Suppose -2*y - x + 101 = 0. Which is the smallest value? (a) 0 (b) -0.06 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 784 divided by 784.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 9, e: 2}. Give prob of sequence ee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 5*j**2 + 40*j**3 + 948*j**3.\nAnswer: 988*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28200 divided by -4.\nAnswer: -7050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 549132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 3, a: 1, r: 1, p: 1}. What is prob of sequence yyr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y - 2*v, 3*v + 44 = 4*y + 7*v. Suppose 4*d + y = 3*c - 5, c - 6 = -d. Let k be 47\/c - (-2)\/(-5). Solve 7*g = 4*g + 2*r + k, 3*r = 4*g - 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12184, 2\/11, 0.04, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1541, 3078, 4615, 6152, 7689?\nAnswer: 9226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, -2, -18, -46, -92, -162, -262?\n\"Answer: -q**3 + 3*q**2 - 12*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -664.274 * 0.2\nAnswer: -132.8548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 597*y\/2 + 41354.\nAnswer: -(y - 116)*(y + 713)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (-62 - -64)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose u = -i*u + 12. Suppose -2*r = 3*z - 3 - 1, 0 = 4*r + 4*z - 8. Solve 4 = r*w - u*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 3*y)*(-32 + 16 + 14*y**2 + 3) to the form x*y**3 + d*y**2 + t*y + m and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46956, -95017, -143078, -191139?\nAnswer: -239200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-104)\/24)\/((-30)\/57) + -5 and 7\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4397*i*q**3 - 124270*i - 1581*q**3 + 1319*q**2 + 9*q + 1 with respect to i.\nAnswer: 4397*q**3 - 124270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1345361\/48 + -28030. Calculate the common denominator of c and 79\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 1:26 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/(r*r**(-1\/4)))\/r)**(2\/11))**(-1\/73))**(-17) assuming r is positive.\nAnswer: r**(17\/1606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 2*v + 0*v)*(4036*v - 12479*v + 5746*v) as t + l*v + w*v**2 and give w.\nAnswer: 8091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.078 in 2\/5, 2\/3, -642?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7 + 5, m = 5*x - 13. Let g be 36\/(-40)*(m\/12 + -1). What is the nearest to -0.1 in g, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1566, -1733, -1900, -2067, -2234, -2401?\nAnswer: -2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 - 43448*u\/11 + 82866.\nAnswer: 2*(u - 21703)*(u - 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-35 + -83)\/(-1062))\/(60\/(-243))\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2163 - 6481\/3. Which is the smallest value? (a) l (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-24)\/t)\/t**34 assuming t is positive.\nAnswer: t**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 14 = 2, 3*m = 4*n + 20. Which is the closest to n? (a) 8 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**3 - v + 15. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 5*p + 3. Let y be g(-5). Factor -2*j**2 - 2*j**2 + j - j**y - 5*j.\nAnswer: -j*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n + 28. Let j(m) = m**3 + 18*m**2 + 55*m - 18. Let c be j(-14). Give h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n*q**2 - 138*n*q - 4*q**2 - 29*q wrt n?\nAnswer: 3*q**2 - 138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 3*o**2 - 5*o + 1. Suppose -3*t + 10 + 8 = 0. Is h(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3015, 6011, 8993, 11955, 14891, 17795, 20661?\nAnswer: 23483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/42 + 2 - (-230)\/385. Let j = 5\/11 - h. Which is the second biggest value? (a) -4 (b) j (c) 0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.3, 6\/83, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(0 - 1 + 3*b - 7*b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 7*k + 63. Let f = -1 + 46. Calculate the highest common divisor of f and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 12*i**2 + 2*i - 78. Calculate the remainder when 5099 is divided by z(-10).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -2.9017. Round v to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111344240 + 0?\nAnswer: 111344240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*z**4 - 2*z**2 - 2*z**3 - 4*z + 22*z**4 - 19*z - 2*z as b*z + j + l*z**4 + u*z**2 + h*z**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -27 + 19 - 0\/(-1). Let b = -6 - p. Suppose -i + 5 = 5*j, -b*i = -0*i - 10. Solve j = -0*g + 4*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -295.1 + 295. Which is the third smallest value? (a) 83 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 36*p**2 + 6*p + 4. Let g(u) = 5*u**2 + u. Suppose -12*j = 11 - 23. Let t(x) = j*k(x) - 8*g(x). Let s = 1 + -4. What is t(s)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8557 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-57 - -64 - (0 - -13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33508 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-938)\/29547)\/((-3)\/27).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from doiidyddiddd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 31*y + 2 = -29*y, 3*y - 3 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 = 5*w. Let m be (1 - 2)\/(w\/290). Let c = 92 - m. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 13. Let f be k(0). Suppose f = -3*s - 5*v - 6, 0 = -5*s + 2*v - 11. Let p(x) = -3*x - 3. Determine p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/66*(4272\/32)\/89?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 9*q**2 + 12*q + 15. Determine g(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from {m: 16, e: 1, p: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 550691666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmq when three letters picked without replacement from {q: 5, t: 1, m: 1, n: 1, b: 3}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/148 and 17\/12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -49, 3, 2\/3, 5\/6, -2\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4060300 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n. Let i(m) be the first derivative of 2*m + 0*m**2 + n*m**3 + 1 - 1\/4*m**4. Find the first derivative of i(a) wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5828\/12 + (-26)\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2326818 and 621?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -7. Suppose 46*b - 2816 - 1186 = 0. What is the remainder when b is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + 2*l)*(-5 - 6 + 0).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(48))**2 - (2 + sqrt(243) - sqrt(243)).\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggu when three letters picked without replacement from {u: 1, f: 1, g: 9}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/(-5) - (-2)\/5. Let s = -322 - -374. Calculate the greatest common divisor of g and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 46 - 21 - k**2 - 27 as p*k + d*k**2 + c + t*k**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19735 and 7.\nAnswer: 1.38145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 - -1.2. Let x = k + 1.6. Which is the nearest to 1? (a) -1\/6 (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - 155. Let p(o) be the third derivative of 2*o**4\/3 - 4*o**3\/3 - 2*o**2. Let q(a) = -a**2 - 17*a + 8. Let n(f) = d*q(f) - 5*p(f). Factor n(b).\nAnswer: 4*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -60 - (40 + -113 - (9 - 96))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 3*m**3 + m + (0 + 0 + 2*m)*(560 - 3*m**2 + 2*m - 535 + 4*m**2) to the form v*m**2 + p*m**3 + f*m + t and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 86. Let h be ((-2)\/(-4) + 1 + -3)*b. Is (2\/h - 90\/(-27)) + 1357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2151 - 1417. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*r**4 + 3406*m*r**3 + 60444*m with respect to r.\nAnswer: -8*m*r**3 + 10218*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o**2 - 3*o + 2. Let l(h) = -h**3 - h**2 - 2*h + 1. Calculate -3*l(g) + 2*s(g).\nAnswer: g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-150) + -2 + 332\/120?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 122425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 9*u**2 + 9*u + 8. Give c(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-24)\/(-54)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10 (b) -1 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 431, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/25 at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/49 and -48\/112133.\nAnswer: 784931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = n - 292, 4*j = 7*j - 4*n - 272. Find the common denominator of -55\/14 and 3*(-2)\/j*77.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*c - 1 + 22*c**2 - 1209*c**4 - 110*c**2 + 88*c**2 wrt c.\nAnswer: -14508*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + 2.06. Let w be 14\/(-44) - 2\/(-4). Let m = 6.3 + -6. What is the nearest to 1 in w, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1691472496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 1, x: 3, u: 5}. What is prob of picking 1 x and 3 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d**2 + 178785*d - 4 - 178782*d - 13*d**2. Let v(n) = n + 2. Let c be v(4). What is h(c)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 44, 99, 176, 275, 396, 539?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744774, 744756, 744738, 744720, 744702?\nAnswer: 744684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 4142*p. Let j(u) = 2*u. Give g(j(b)).\nAnswer: 8*b**2 - 8284*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/7 and -23\/425?\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -315*r + 74045. Calculate h(235).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w\/(w*w**(-1\/13)\/w))\/w)\/w)\/w)**(2\/33)*w**33\/(w*w*w**(1\/7)))**(2\/37) assuming w is positive.\nAnswer: w**(61664\/37037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.8 + 31.8. What is the third biggest value in t, 1.7, -0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 3*h + 1. Let g(f) = f. Let v(p) = 2*g(p) - w(p). Is v(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11194\/3 - 515155\/138. What is the common denominator of s and -7\/18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4443\/4 + 139921\/126. What is the common denominator of 145\/2856 and x?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - p + 1. Let x be u(1). What is n in -2*n - 2*n**2 + x*n + 4*n = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*n - 5419 = 0, -5420 = 5*c - 7*c + 4*n. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 1.09757594.\nAnswer: 0.89757594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -2203, -4956, -8809, -13762, -19815?\nAnswer: -26968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864 = -q + 10*q. Let w = -83 + q. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/15 + 48*l**4\/5 + 2400*l**3 - 1072612*l**2\/15 + 429374*l + 1163820 = 0. Calculate l.\nAnswer: -119, -2, 15, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -143*t**2 + 2*t - 239. Let z(b) = -141*b**2 + 2*b - 205. Determine -6*g(p) + 7*z(p).\nAnswer: -129*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (624\/4212)\/(8\/1404)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) 3 (c) 17\/10 (d) 338.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.3157*-5.92.\nAnswer: 49.228944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y - 1045 - 3575. Let w = y + 465. Solve 0*b = -w*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ed (base 16) in base 4?\nAnswer: -213231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 108 = 0. Suppose 2*h - 31 = 5. Let n = a - h. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*t**3 - 63*t**3 + 352*t**3 + 44*t**3 + 411*t**3.\nAnswer: 695*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:49 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 221031392 a multiple of 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 8:28 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {f: 4, q: 16}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(-8)*x*x**(-2\/5))**16\/((x\/(x\/x**(-7)))\/x*((x*x*x*x**(-2\/9)*x)\/x)\/x*(x**(-1))**(2\/29)) assuming x is positive.\nAnswer: x**(250418\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 4*l - 5*l - 2*d, 0 = 4*d + 20. Suppose -5*i = -8*i + l. What is the highest common divisor of 147 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 7) to base 2.\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f + 33. Let z be 1*f*(-8)\/4. Is 11 a factor of (z\/(-4))\/((-6)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6517*11837.\nAnswer: 77141729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(18)\/(-4*sqrt(9)))**2.\nAnswer: -3*sqrt(2)\/2 + 73\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 930 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13790195 to the power of 1\/2, to the nearest integer?\nAnswer: 3714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 + 429*p**2 + 46566*p + 135864 = 0. Calculate p.\nAnswer: -222, -204, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2d31e (base 15) to base 8\nAnswer: -434645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*w + 2*w, s = -5*w - 8. Let a = 6 - s. What is the units digit of ((-2)\/6)\/(1\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -6*(sqrt(19)*-2 + -5))**2 + -6*((sqrt(19) - ((sqrt(19) - sqrt(114)\/sqrt(6)) + 0 - sqrt(19) - sqrt(19))) + (sqrt(304) + 1)**2).\nAnswer: -8984 - 1458*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*((-2)\/(-22))\/(10\/(-55)). Solve -6*u + 1 = -x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 = 6. Suppose -k - 4*h = -10, 4*k + 13 + 7 = 4*h. Sort k, z, 5 in decreasing order.\nAnswer: 5, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5632?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.7397 + 0.2603. Let k be 175\/40 - (4 + 0). What is the closest to 2\/29 in h, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -918, -0.4, -9266\/11 in decreasing order.\nAnswer: -0.2, -0.4, -9266\/11, -918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/53)*p)\/p)\/p**(-1\/6))\/(p**8\/p**(-2\/13)) assuming p is positive.\nAnswer: p**(-33175\/4134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26916 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: Solve -5*y**4\/3 - 25*y**3\/3 + 5*y**2\/3 + 25*y\/3 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -10*m + 70, 3*t = -5*m - 3 - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 2*a**6\/21 + 2*a**5\/5 - 8*a**4\/7 - 4*a**3\/21 + 2*a**2 - 10*a\/7 + 25. Find p such that z(p) = 0.\nAnswer: -5, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h + 6. Let z be f(4). Let d be 1 - ((-6365)\/(-171) - (-8)\/(-180)*5). Is z != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7097*u**2 + 2*u + 1. Let d be n(-2). Suppose -5*c + c + d = -3*i, -i + 35505 = 5*c. What is c rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -4477.\nAnswer: -4476.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s + 2*r - 14, 2*s - 4*r + 12 = 0. Suppose -s*t + 4*v = -242, -3*t + 112 = -2*t - 5*v. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6686, 14777, 22870, 30965, 39062, 47161, 55262?\nAnswer: 63365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 0 + 0 + (3 + 0 - (120 - 123))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 9*t**2 + 6*t - 2. Suppose -3*s + 9 = -0*s. Suppose 0*b + 61 = 4*d + s*b, 3*d - 5*b = 53. What is the smallest common multiple of d and v(-8)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-2200)\/36))\/(3732\/24880).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-66)\/(-1))\/(1 - 0\/(-1)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2433, 5041, 7679, 10347, 13045, 15773?\nAnswer: 18531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1, -5, 540?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 4400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Let k(a) = a**3 - 9*a**2 + 9*a - 4. Let u be k(8). Suppose u*i = -0 - 0. Let q be b(i). Solve -3*o - o + 12 = q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108291989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*u**2 - 6\/5 - 3\/5*u.\nAnswer: 3*(u - 2)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + ab6?\nAnswer: aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) + (-48)\/315. Let k = -0.3 - -0.4. Let f = k - 0. Which is the nearest to f? (a) 3\/7 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2054 - 1436. What is the smallest common multiple of 9 and j?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2 + 4 + -1). Suppose 3*l + 6 = -3*b, 3*l - 2*b - b - 24 = j. Solve -4*m + 4 = 0, -3*m = -l*a - 2 - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g - 18 = 3*f, 3*f - 9 = 4*g. Let j(b) = -135*b - 1. Let m be j(f). Let r = m + -94. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 + -201. Let n = 2392420.000099 + -2392478. Let y = n - m. What is y rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**4 + 8*g + 4*g**2 - 9*g + 5*g**2 to the form m*g**3 + y*g**2 + j*g + k + f*g**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 93. Let k = -80 - w. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11415331.1447042 + -0.03.\nAnswer: 11415331.1147042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.8733 months to decades.\nAnswer: 1.0822775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -24*c**2 - 743*c - 38. Let h be b(-29). What is the highest common factor of h and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and (55\/(-20))\/((-5)\/20)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z**3 + 30935264*z**2 + 92805738*z\/7 + 9943470\/7 = 0. What is z?\nAnswer: -552415, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511 + 10?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -144*y + 12524. Let t be d(87). Let m = 2 + -2. Is t at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -19*f**2 + 1. What is z(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 49 - 25 = 0. Let h(s) = -s**3 + 6*s**2 + 7*s + 2. Let y be h(7). Suppose -2*q + 12 = y. Solve -3*b = z*b + q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7\/(7 - 8) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1407 - -0.0037. What is the closest to f in -1\/2, -1\/6, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.85 and -5.\nAnswer: -24.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 0.216, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.003 (b) 2\/9 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2124 (base 6) to base 11\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 50. Suppose o + f = 5*a, -2*a + 0*a = -4*o - 10. Suppose -5*x - 20 = -0*x, -a*x - 23 = -b. Solve 0 = -b*l + 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/7 in -0.2, -2, -12\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, f: 1, d: 3, e: 6, p: 2}. What is prob of picking 2 e and 2 d?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 5*o**2 + 8*o - 4. Suppose 4*s = -173*s + 708. What is the remainder when i(5) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 2:19 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 10*m - 5*m + 2325 + 17*m.\nAnswer: -2*m + 2325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9789.361 centuries to years.\nAnswer: 978936.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a factor of 412808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003493 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8248 - -8248.4. What is the third biggest value in -35, -57, t?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*m**3 - 84 + 134 + m**2 + 3*m - 51 + (-2*m + 4*m - 3*m)*(1 + m**2 - 1) + 2*m**3 + 0 + 0.\nAnswer: -10*m**3 + m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 1. Let w(o) = 154*o + 154*o - 16 + 101*o + 107*o - 427*o + 5*o**2. Let j be w(-18). Give y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 11\/(11\/(-6)). What is the second biggest value in f, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/66 + 13*t**3\/11 + 38*t**2\/11 + 1717*t. Factor j(b).\nAnswer: 2*(b + 1)*(b + 38)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/7*(-6)\/(-3)*30\/(-20)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 3*q**2 - q + 3. Let o(y) = 2103*y**3 + 9*y**2 - 3*y - 45. Let u(j) = -3*g(j) + o(j). Find the first derivative of u(a) wrt a.\nAnswer: 6327*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14412044163*p**2 - 500286798*p + 4341627 = 0.\nAnswer: 1203\/69311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -0.1 (c) 327 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/120 - 17*s**5\/60 + 5*s**4\/6 + 9*s**3\/2 - 2*s**2. What is the tens digit of z(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2487346.8 to the nearest 10000.\nAnswer: -2490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 11 + -25 + -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Suppose 4*n - 3*f - 30 = s, -7*n + 4*f = -4*n - 26. Let t(a) = 10*a**2 + 11*a + 2 - 13*a**3 + 8*a**3 + n*a**3. What is t(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 a when four letters picked without replacement from {o: 11, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333182 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34390420 to the power of 1\/2, to the nearest integer?\nAnswer: 5864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18 - 11) + -4 - 2*331. Let r = a - -1542. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(12 + -9)*153. Let b = -31 + 43. Let u = l + b. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1789?\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0107 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*(1 + (729\/6)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 872, 2576, 5358, 9170, 13964, 19692?\n\"Answer: -8*h**3 + 587*h**2 - h + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/148464 and -42\/31961.\nAnswer: 4602384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - ((-3447)\/(-3) - 1). Is 115\/2*i\/(-130) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 148*l**2 - l + 393*l**2 in the form o*l + h + r*l**2 and give r.\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(0 - (-2)\/(-2))*-17. Calculate the highest common factor of 272 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/7013 or 2?\nAnswer: 19\/7013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15954, 33154, 50352, 67548, 84742?\n\"Answer: -c**2 + 17203*c - 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1318\/3, 2\/3 in increasing order.\nAnswer: 2\/3, 1, 1318\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -214, -216, -206, -178, -126, -44, 74, 234?\n\"Answer: u**3 - 9*u - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15198144 or -15198145?\nAnswer: -15198144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + m + 9, -2*m - 11 = l - 3. Let w(v) be the second derivative of 1\/5*v**5 + v + 0*v**l + 0*v**4 + 0 + 1\/6*v**3. Give w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 92*u**3 + 68*u + 68. Let v(g) = -4*g**3 - 3*g - 3. Let r be -2 + -11 + 4 + 3. Calculate r*k(s) - 136*v(s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, q: 13}. What is prob of picking 2 h?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160.875 - -0.125. Let y = o + -190. Sort 0.5, y, -2 in ascending order.\nAnswer: y, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4550 and 4160?\nAnswer: 145600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315073094 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:23 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1 + (-432)\/(-219) + -1). Suppose 4*v - j = v + 194, 2*j + n = v. Calculate the greatest common divisor of 18 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 4*m - 2. Let i be c(-2). Let x be (4\/(-35))\/(20\/(-50)). Factor x + 2\/7*s**i + 4\/7*s.\nAnswer: 2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078463 to four dps.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 26*d - 21. What is the remainder when x(4) is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3876*d + 11629. What is x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 214. What is the remainder when b is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116510529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1774, -274, -24, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74011806, 74011801, 74011796, 74011791, 74011786, 74011781?\nAnswer: 74011776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 10. Let d be o(-8). Let z be d*((-4)\/(-6))\/(-1). Let j be (4 - 0) + (z - 3). Solve -1 = j*m - 3*r - 17, -4*r - 4 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnn. Give prob of picking 1 c and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 e, and 1 f when three letters picked without replacement from ecfrdvc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3 - 10716037*q**2 - 42864160*q - 42864164 = 0. What is q?\nAnswer: -2, 10716041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*6\/9*-3. Let c = 4 + y. List the prime factors of (c\/(-5))\/((-1)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 288, 291?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*k**2 - 17\/2*k.\nAnswer: k*(k - 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 11*t + 4. Let v be x(-8). Let n = v - 15. Solve 2*y - f - f = 6, -n = -3*y - f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**6\/60 + q**5\/12 - 5*q**2 - 12*q. Let r(c) be the first derivative of o(c). What is the third derivative of r(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6168659 by -881237.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s - 1. Let o be w(1). Let d = o + -10. What are the prime factors of 26\/d*(-6)\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from ruxdzrnxz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668328600.\nAnswer: 2, 3, 5, 379, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/i**(-24))\/i)\/(i\/((i\/(i*i*i*((i\/((i*i**(9\/4)\/i)\/i*i*i))\/i*i)\/i*i))\/i)*i)*(i**(1\/15)*i*i*i)\/i**(2\/95) assuming i is positive.\nAnswer: i**(29977\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 2*g**4 + 2*g + 39*g**3 - 3*g**2 - 4*g**4 in the form z*g**4 + c*g**2 + k*g + l*g**3 + d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1963201294 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 7*h**3\/3 + 2*h**2 + 76*h - 35. What are the prime factors of y(-12)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/18 and -21\/20527.\nAnswer: 369486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72\/255 - 4\/10. Suppose -3*t - 15 = -3. Which is the third biggest value? (a) t (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -317*a + 317*a - 7*a**2. Let s(q) = -185*q**2 + 3 + 183*q**2 - 3. Give c(s(k)).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -12*j + 160 - 17, -4*j = 4*l + 19 - 95 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*z + 72 = -0, 3*t - 44 = -4*z. Let v = 5 - 5. Suppose v*q = q - t. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.9 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - 1218?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)\/r)\/(r\/(r*r**(-2\/9))))\/(r**(-2\/3)*r*r**(-12)) assuming r is positive.\nAnswer: r**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 2\/11, 10, -2, -3, -0.37, -0.48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9153*a**2\/7 - 18350*a\/7 + 88\/7.\nAnswer: (a - 2)*(9153*a - 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.32 + 28.68. Let k = 0.198 - -27.802. Let i = y - k. Which is the biggest value? (a) -2 (b) i (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, 1, -151, 0 in increasing order.\nAnswer: -151, -14, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4471359 to the nearest integer?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59438460 divided by -11887692.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3479641140 to the nearest 1000000.\nAnswer: 3480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 154512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152196 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 109591600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/3))**(-10)\/(c**(4\/7)\/(c**(-1\/3)\/c)))**12)**(-4) assuming c is positive.\nAnswer: c**(-480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-16 - (-3 - 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 44 - 16. What is the third derivative of 0*a**4 + a**v - 8*a**6 - 6*a**6 + 37*a**2 + 7*a**2 wrt a?\nAnswer: -1680*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 502430 - 125?\nAnswer: 502301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1508778 and 27684.\nAnswer: 3017556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 1. Let q = 0.4 + j. Let n = 0 + q. Which is the closest to n? (a) 2\/3 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*t**2 + 53*c*t - 70*c + 43130*t**2 wrt c?\nAnswer: -t**2 + 53*t - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 4216*b**3 - 7881*b**3 + 4111*b**3.\nAnswer: 446*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19729 - 16660 - 13184 - 3159 + 4042)*(-2*s + 4*s - 4*s).\nAnswer: 97380*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9282 + 21133. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*k = -22, 16 - 6 = -2*v - 5*k. Let u(r) = r**2 - 7. Let g be u(3). Solve -y - g = -v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625279843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6467412 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -616, -4642, -15482, -36544, -71236, -122966, -195142?\n\"Answer: -568*x**3 + x**2 - 53*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2144390*y**6 - y**4 - 11*y**2 + 52 wrt y.\nAnswer: -257326800*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4*(-3)\/6)\/((-8)\/84). Let r = 542 - 2719\/5. Find the common denominator of (12\/25)\/(a\/(-560)*2) and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjxbqbxbb. Give prob of picking 1 b and 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 204*(-1)\/(8\/(24\/(-9))). Suppose 78*l - 120 = s*l. Solve 0 = 4*u + l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*l = l + 6, 3*r + l = 12. Suppose r*z + 3*c = 27, 2*z + z = c + 7. What is the least common multiple of z and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 10*j + 14. Let c be t(-11). Suppose -c = 3*b - 2*b. List the prime factors of (-2*(-3)\/(-6))\/(b\/339).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*112*122\/(-6832)*24?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0118 and 0.1.\nAnswer: 0.1118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53515?\nAnswer: 5, 7, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0753 - -7.9247. Let m = 1 + 2. Let u = 1 - m. Which is the third biggest value? (a) -0.5 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, r: 15}. What is prob of picking 4 r?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850000 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 8*j**2 - 3*j - 10. Let a be (1 - 128\/14) + (-118)\/(-826). Give t(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 45*c + 154. Calculate the lowest common multiple of n(0) and 1008.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46872 divided by -3\nAnswer: 15624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 89. Let w = 12 + t. Suppose 0 = -7*b + 3*b + w. What is the lowest common multiple of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 525?\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2)*(-3*z + 0*z + z)*(z - 3*z + 3*z + (4*z - z + 0*z)*(4 - 3 + 0) + (0 + 0 + 2)*(0*z + 2*z - z)) to the form k*z + y*z**2 + p and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219954599*g**3 + 5*g + 113094 wrt g?\nAnswer: -1319727594*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 138 - 128 + 90 - 163.\nAnswer: -u - 339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 830276*y - 5811889. Give i(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3.5. Let v = -0.33 + -0.67. Which is the nearest to 1? (a) 4 (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 divided by 349?\nAnswer: 591\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 7*m - 10*n + 4 = -m + 14, m + 4*n - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o. Let t(k) = -28698*k. What is t(z(i))?\nAnswer: 28698*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 21*f - 236. Let k(c) = 386*c - 1146. Let i be k(3). Calculate d(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 4 + 96*p - 12 + 15*p - 15 - 2*p**3 - p**2.\nAnswer: -6*p**3 - p**2 + 111*p - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07298 and -0.6.\nAnswer: -0.043788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5237d + -5?\nAnswer: 52378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8554 + -8535. Suppose -3*w = 4*l - 28 + 9, 5*w - 1 = l. Suppose n - 1 = -l, -u - 4*n + o = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -2 (c) 8020399 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + -5.1. Let v = -1.2 - p. Round v to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-21) + 2299\/77. Suppose -i + 3*i = 0. Suppose 2*s = -5*n + f, i*s - 4*s + 24 = n. Let x(w) = w**2 - 4*w + 1. What is x(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (2\/6)\/(4 - (-88109)\/(-22029))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 12*(6\/8)\/3. Let a(x) = -x**2 - 14*x + 23. Let s be a(-15). Solve 5*q + 11 = -n*r, 0 = -0*r + 3*r + 2*q + s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68313 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -826 (c) 57 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*m**2 - 106 wrt m?\nAnswer: 88*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-6358)*(139 + -143)?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2.8, -179674.\nAnswer: -179674, 2.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/9, 2\/275, 2, -39\/8 in ascending order.\nAnswer: -39\/8, 2\/275, 2, 22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*o - 120*o + 72 = 0. Let h(u) be the first derivative of u**4\/4 - 4*u**3 + u**2\/2 - 6*u - 5. What is h(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*f**3 + 593*f**3 - 26*f**3.\nAnswer: 712*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**3 + 9*m**2 + m - 5. Let u(i) = 10*i**3 + 13*i**2 + i - 7. Calculate -7*a(s) + 5*u(s).\nAnswer: s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*v = -0*y - 6, 3*y = 5*v + 22. Solve 2*x + 4*u = 14, -4*x + y*u - 2*u + 8 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18957 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, -87145, 4 in descending order.\nAnswer: 4, 3, 0, -2, -87145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40894150*c**3 + c**2 + 598*c - 1585.\nAnswer: -245364900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctccgcccgcctcc. Give prob of picking 2 c.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 10980*p.\nAnswer: 4*p*(p - 2745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9254\/45 (b) -0.4 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 2*t + 43 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 876*y - 63948 = 0. Calculate y.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -6) + (184 - 182) - (5 - 33 - -3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 5*d. Suppose 2*z - j = -0*j - 3, d*j - 9 = 2*z. Solve 2*x - 6 = -2*r, 2*r + z*x = 4*x - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqeeeqeqj. Give prob of sequence jqee.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*v + 3*v**3 + 0*v + 23*v.\nAnswer: 3*v**3 + 292*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1506.9573643 - 21412\nAnswer: -19905.0426357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25379 = -12*s + 4393. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to -2482\/593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 312\/(-88))*11\/(-4). Let f(o) be the first derivative of z*o**2 - 1 + 0*o. Let k(m) = 3*m. Give k(f(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onpnnnnff. What is prob of sequence fnn?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w + 25 = 44*w. Let a(g) = 2*g**2 + 5*g - 7. Calculate the remainder when 33 is divided by a(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/437 (c) -8\/9 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 908042*b**2 - 513903 with respect to b.\nAnswer: 1816084*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44798245 less than 2132?\nAnswer: -44796113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 39*j - 21. Let o be m(3). What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 22\/21*y**7 + 0*y**2 + 1\/10*y**5 + 0 + 0*y**6 - 83\/6*y**4 - 47*y + 0*y**3. What is the third derivative of c(i) wrt i?\nAnswer: 2640*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**3*n*s - 3*j**3*n - 1361*j**3*s - 2*j**3 + j**2*n + 17*j*n*s - 3*j*n - 87*j wrt j?\nAnswer: 36*n*s - 18*n - 8166*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31400 divided by -2.\nAnswer: 15700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 25 = 5. Suppose -9 = 4*w + 3*v, -4*w = w + v + 3. Suppose w = 2*z - 4*b - 36, 0 = n*z + b - 6*b - 75. Round z to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139764*v**3 + 69888*v**3 + 69884*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-101)\/(-3) - 5\/(-30)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmu. Give prob of sequence mum.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21864443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/40)\/(2\/8). What is the nearest to 0.4 in -3, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/2 or -17\/20?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3265\/576 + -71\/64. Calculate the common denominator of k and 101\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**7\/13860 + o**6\/660 + 7*o**5\/660 + 49*o**4\/12 - 104*o**2. Let x(q) be the second derivative of m(q). Factor x(t).\nAnswer: -2*(t - 7)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -209*t**3 + 7*t**2 + 5*t + 5. Suppose 4*g - 99 = 3*z - 7, 0 = -2*z - 2*g - 66. Let d = z + 25. Let s be c(d). What is s rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 + 11*g - 3. What is m(6)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.8 in -6, -1\/26, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3*-1*304\/171.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47450, -189359, -425872, -756989, -1182710, -1703035?\nAnswer: -2317964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -82537879 * 0.5\nAnswer: -41268939.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtu when three letters picked without replacement from {b: 8, d: 2, u: 1, t: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 208\/(-36) - (-4)\/18. Let v(n) = -n**3 + 4*n**2 - 2*n - 1. What is v(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 687.1509 - 687. What is i rounded to 3 dps?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 + 0)*(-180*g - 28 - 125*g + 31 + 14*g).\nAnswer: -2328*g + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t, 2*w + 4*t = -2 - 16. Let o(q) be the third derivative of 0 + 0*q + 1\/4*q**4 - 5\/6*q**3 - 5*q**2 + 1\/60*q**5. Determine o(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4044 + 309)\/((-3)\/(-2)) is divided by 483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 + 8*h**2 - 10*h**2 to v + j*h**2 + q*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 5*u**2 + 13*u + 33. What are the prime factors of c(-8)?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 23*d - 9*d = 5, -4*k + 16 = 4*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92.54 + 29.22. Let n = -0.68 + d. What is the biggest value in -5, 1\/3, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*r**2 - 11*o**3*r + 51*o**2*r + o**2 + 580050*o*r**2 - o + 17*r - 9 wrt r?\nAnswer: 2*o**3 + 1160100*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487376 (base 9) in base 16?\nAnswer: c98c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 = -4*t, 5*h - h - 37 = 5*t. Let g(r) = -5*r**2 + r + 1 + 0*r**3 + r**3 + h*r. Calculate g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.77*0.41.\nAnswer: -0.7257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v + 428. Let i = 2 - 5. Let c(g) = -146 - 139 + 283 + 2*g. Give i*w(y) + c(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2856 less than -2856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2 + 10*k + 39. What is the tens digit of j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(76)\/sqrt(4))**2 + 2 - (sqrt(19) + 0 + sqrt(19))*1).\nAnswer: -2*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/5 (b) 2\/3 (c) 392\/13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -197*p - 905. Is 30 a factor of h(-106)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 3*o - 3*o)*(-2*o + 0*o + 0*o) + o**2 - 2 + 2 + 0*o**2 + 5*o**2 + 2*o**2 in the form s*o**2 + a + h*o and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*(-1)\/(-3))\/(3\/9). Let s = 45\/14 - 12\/7. Let v be (-15)\/(-6) - 0 - 2. What is the second biggest value in v, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602125097 a multiple of 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f + 10. Calculate u(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -9. What is the third derivative of 0 - i**2 - 2*i**y + 0 wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1478*v = -1522*v - 1148 - 568. Let z = 298 - 178. Let y = v + z. Calculate the greatest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/60 + z**4\/12 - z**3\/2 + 5*z**2. Let h be b(2). Let r = -5 - -10. Solve r*t = h*c + 5, -2*t = -c - 1 - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + -3 + -27 + (1 - 7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-14) - 67\/2. Calculate the remainder when 33 is divided by 6\/33 + (-291)\/q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 1220 = 160. What is the remainder when r is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1829 - 1825. What is the second smallest value in -12, j, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 631697, 2526661, 5684907, 10106435, 15791245?\n\"Answer: 631641*t**2 + 41*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-7)*(-798)\/(-171). Let l(q) = -q**3 - 18*q**2 + 41*q + 26. Calculate l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*q + 121*q + 264 = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -116, -3, -2\/7, -0.1, 88?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 14*a + (-a - a + 4*a + (1 - 2 + 0)*(0*a + 0*a + 2*a) - 17*a + 10*a - 9*a + 2*a - a + a)*(4 - 3 - 3).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 - 401\/4. Let h = -175.2 - -175. Which is the closest to -1? (a) h (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 - m**2 - 4 + 0 - 1 - 10*m. Let f be d(-4). Suppose 415 - f = 5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204011580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1610 = 5*t, -r + 4*r = 5*t + 1650. Let x = 328 + t. Sort 3, -5, x, -3 in descending order.\nAnswer: 3, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2128 - 1940. Sort c, 2\/13, -3 in ascending order.\nAnswer: -3, 2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/(69050\/(-1132420))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6050 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 165 = -27*b. Calculate the least common multiple of 39 and b.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.7 - 832.7. Let t = c - -820.999181. Round t to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*w + w + 12, w + 3 = a. Let g be (4\/(-8))\/((-2)\/(-76)). Let t = g - -28. Solve 3*v + 3*r = 9, -v + 3*v - a*r + t = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3722\/(-6))\/((-1)\/(-3)). Let j = o - -29795\/16. Find the common denominator of 143\/6 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*l + 15*l + 8*l + 13*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(182\/(-315))\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 40. Let d be c(-20). Suppose -4*x + 13 - 1 = d. Is 3 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 80. Let a(v) = -6*v + 101. Let t be a(21). Let x be q(t). Solve 0 = -5*g - m - 20, g - x*g - 5*m = 37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 681046343532 and 60.8?\nAnswer: 681046343471.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-82)\/14 - 4\/28. Let g be 2\/l - ((-16)\/12 + 1). Solve -2*z - 5*h + 13 = g, 3*h - 11 + 4 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(70) - sqrt(70) - sqrt(70))*4)\/(sqrt(30)\/(-1*sqrt(3))) - (-3 + (sqrt(28) + 3)**2 + 1))*4.\nAnswer: -140 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/30 - 5*u**4\/24 - 13*u**2. What is the second derivative of k(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5*j - j)*(-2 + 5 - 2) + (-3 - 2 - 2)*(0*j - j + 2*j) - 66*j - 79*j + 4*j.\nAnswer: -146*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1696 (b) 98.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 20759318890.\nAnswer: 20759318889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-3 + -3) - -2) + 49 + -64?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*y**2 + 5 - 9*y**3 + 11*y**3 + 2*y + 116*y**2 in the form d*y**2 + k*y + u*y**3 + b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21190 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114983 is divided by 8844.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461142?\nAnswer: 2, 730571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -195524325.30075 less than -0.2?\nAnswer: 195524325.10075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40513273 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48) + sqrt(432))\/sqrt(3) + sqrt(16) - sqrt(16)) + sqrt(1600)*2)\/(1*sqrt(1152)*-2 + sqrt(1152) - sqrt(1152)*2*-2).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/142, 3, 55, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*a + 15 = 0, 2*a = 52*q - 53*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907275610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 941, 1894, 2849, 3806, 4765, 5726?\nAnswer: 6689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.88 + 0.12. Let q = 5 + -3. Which is the nearest to k? (a) 0.3 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28305219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 0, -1.23, 3, -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 - 5*n + 5*n + (2*n + 0 + 0)*(3*n - 3*n + 2*n) + 7*n - 5*n**2 - 7*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.28, -2, 35 in decreasing order.\nAnswer: 35, 0.3, -0.28, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -1, -2, 0.09, -57.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258870357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -33*f - 2. Let k(t) = 11*t + 174. Determine c(k(i)).\nAnswer: -363*i - 5744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 10.2. Let v = -9.1 - j. Let i = 0.7 + -0.6. What is the closest to i in -0.3, v, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*n + 4986*n**5 - 4242*n**5 - 1705*n wrt n?\nAnswer: 14880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16b1 (base 14) to base 6.\nAnswer: -30511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1320, 2534, 3628, 4542, 5216, 5590, 5604?\nAnswer: 5198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-5*s + 2*s + s)*(0 - 1 + 3).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/3 + 0 + 4. Suppose -4*r + 3*x = 107, 2*x + p*x = -5*r - 95. Let k = 28 + r. What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Suppose -35 = -d + x. Suppose -3*o = o - d. Calculate the smallest common multiple of o and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 - 2708*o + 5408 = 0 for o.\nAnswer: 2, 1352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:02 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2520235, -5040593, -7560951, -10081309?\nAnswer: -12601667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34101.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00337 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235\/4 + 59. Let h = 22740\/947 + -59078004\/2419585. Let m = h + 2\/511. Which is the closest to m? (a) 0.4 (b) s (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -23. Let t be 17 + -17 + z*5. Suppose -3*y + t*n - 68 = 0, 4*y + 2*n + 110 = -n. Is y at most as big as -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4649812 is divided by 69.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 147 + 137 = -2*q, 5*q - 25 = 4*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 986 or 1971\/2?\nAnswer: 1971\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 1235*c - 1234*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86797967 and 16421237?\nAnswer: 607585769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + 1.5. Let f(l) = l**3 - 8*l**2 - l + 4. Let z be f(8). Sort z, -1, a.\nAnswer: z, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -23, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 693951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y + 1. Let d(z) = 0 - 4*z - 2 - 5*z. Let p be (-56)\/12 - (100\/(-15) - -5). Determine p*d(r) - 5*q(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7072663m to micrometers.\nAnswer: 707266.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, m: 1}. What is prob of picking 1 m and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 26 = -3*j - 0*j, 0 = 3*j - 4*v + 10. Suppose -6*o = 2*i - j*o - 22, -i = -o - 2. Let d be (-1 - -3)*(-1)\/i. Is d < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 65.67\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.265 * 0.3.\nAnswer: 0.0795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 8:54 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.960854kg in nanograms?\nAnswer: 960854000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 3*o = j - 6*j, -6*j = -4*j + 9*o + 33 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87535?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15193 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*r + 2*b - 10, 0 = -4*r - 4*b. Let d be -19*5\/((-35)\/(-14)). Let q = d + 35. Is q bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017952 a multiple of 499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -395 + 1217. Find the second derivative of 15 - 790*m**2 - 2 - 2*m + g*m**2 wrt m.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l**4 - 1392\/5*l**3 - 36\/5 - 444\/5*l - 297*l**2 = 0.\nAnswer: -3, -1, -2\/7, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 3*d - 2. Let s be (12\/(-8))\/(3\/8). Let c be i(s). Suppose 5*w = c*w + 9. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/1134*138\/(-23).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 0*l - 11 = a, -5*l - 10 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = z + 28. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 36 = -4*d. What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a08b8 - -33?\nAnswer: a092b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x + 1. Let j(u) = u - 2. Suppose 2*c + s + 1 = -3, -c + 9 = -5*s. Let q(r) = c*j(r) - 4*k(r). Calculate q(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138*p - 73*p + 57*p)*(-1 - 4 + 7) + (5 - 3 + 0)*(-2*p - 2*p + 2*p) + (0 - 1 + 5)*(-3*p - p - 4*p) as s + l*p and give l.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 2\/23, -0.3, -5, -3, 6\/7, 0.0023?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.03 - -1.1. Let t = q + 0.03. Sort t, 0.2, 4.\nAnswer: t, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 174 - 370 = 0. Calculate the greatest common divisor of f and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/7028 and 40\/293419.\nAnswer: 1173676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 1. Let j(z) = z + 3. Let n(s) = 3*a(s) + j(s). Let q be n(5). What is the tens digit of 1 - -3 - 1 - q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/1108 and -57\/4?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 7. Let o(n) = 4*n + 13. Let t(v) = 5*l(v) - 2*o(v). Give t(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82.5 + -143.2. Let x = t - -60.3. Which is the biggest value? (a) x (b) -8\/9 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -3 in descending order.\nAnswer: 10, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -71. Let w be 0 - ((-3 - -2) + 19). Let u be (w\/27)\/(l\/9). Solve 2 = -4*f - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h = 12*h. Solve h = v + 53 - 54 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 4*i - 96 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:42 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 48 = -0*v. Find the common denominator of v\/(-16) + 91\/(-140) and -11\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 8:39 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 629, 630, 631, 632, 633?\n\"Answer: q + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/24 + -91*23\/(-4830))*(-3)\/(-4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1226*o - 1226*o + 208*o**2 + 36*o**2.\nAnswer: 244*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/131 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3\/7 + 40*v**2\/7 + 138*v\/7 = 0?\nAnswer: -3, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 4, 3*i = 5*k - 16. Let t be 6\/(-27) - (-56)\/9. Solve -2 = k*g - t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 40 = c, -5*p + 5*c - 40 = -80. Solve -4*d + 2 = -3*d, -5*x + 4*d = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 1932.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*f - 22, -5*f - 3*k = 2*k + 10. Let j be (-4)\/(-14) - (-1)\/f. Let p = 377\/2814 - j. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:04 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, 1, 33372 in descending order.\nAnswer: 33372, 1, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 9*l**2 - 8*l + 6. Let a be f(-10). Suppose 3*b = 6*b - a. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 935551214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6\/3689, -3.8 in decreasing order.\nAnswer: -6\/3689, -3, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) -1 (c) 67 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55414)\/412 - -132)*(-72)\/(-5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a + 3. Let d be (1*3)\/((1 - -4)\/5). Let u(k) = 8 - d*k + 2 - 13 - 4*k. Let o(y) = -3*u(y) - 4*z(y). Differentiate o(n) wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (7 - (-49)\/(-35))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 35115.\nAnswer: -1\/7023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(5\/7))\/a*a)**(-1\/3)*a**(-4)*a**24 assuming a is positive.\nAnswer: a**(418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 9, -5 in increasing order.\nAnswer: -5, -3, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 2*t - 5. Let c be q(-4). Suppose -c = -l + 2. Suppose -2*k + m = -6, l*m = k + 3*k - 18. Solve -k*r = 3*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a85a + -1?\nAnswer: -7a85b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:35 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535788.\nAnswer: 2, 43, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30\/7 (b) 0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 77 = 2*c. Let u = -1043 - -1031. Calculate the common denominator of -7 + 6 - c\/u and 101\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667552 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 3 + 3. Suppose 2*o - 1 = 5, 3*b - 3 = 4*o. Let r(y) = 5*y + 8. Let m(q) = 3*q + 5. Let c(p) = b*r(p) - 8*m(p). Give c(w(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 + 246 - 211) + (-2 - (-2 - -107)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-4)\/12)\/((-2)\/6). Let h(d) = -5*d + 17*d**2 - d**2 - 2 + 0 - w. Is h(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/18*(-38)\/19*(-8)\/28.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -11. Let d = 0.3 - 1.3. Let x = d - l. Is x bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 3, -4, -51, 1 in increasing order.\nAnswer: -51, -7, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p - 4. Let g be f(3). Let j = 4 - g. Calculate the least common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*y**3 - 2*y + 9*y**3 + y + 21 - 21*y**3 in the form s + w*y + x*y**3 + a*y**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20772157, 20772193, 20772253, 20772337, 20772445?\n\"Answer: 12*p**2 + 20772145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1143.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (5 - 5)) + (-7 + -8 - -8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -198, 0, -457, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11112922?\nAnswer: 2, 727, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 220*d + 222 = 0. Calculate d.\nAnswer: -1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 14) to base 16\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*t. Let s = t - 2. Solve a + 4 = -s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -23*a - 192*a + 3664. Solve 2*d - 3*x = 3, 305*x - 307*x = d + a for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3201 (base 6) to base 10.\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 19*d - 91. Calculate g(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25900121 divided by -4091\nAnswer: 6331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 256470 divided by -5?\nAnswer: -51294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 1.1 (c) -5 (d) 1 (e) 5 (f) -142 (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 8a30?\nAnswer: 8a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 5*j**2 - 3*j - 3. Let r(y) = y**2 - y - 1. Let z = 16 + -17. Give z*s(o) + 3*r(o).\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7929214 to the power of 1\/2, to the nearest integer?\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*o - 8*o + 5991 - 41*o**2 + 76*o**2 - 34*o**2 - o**3 + 31*o wrt o?\nAnswer: -3*o**2 + 2*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Suppose 4*p - f*p = -2*p. Solve -7 = u + 3*i, 0 = 2*u - 4*i - p*i + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -862, 51, 3, -5?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**8\/336 + c**7\/84 - c**6\/18 - c**5\/3 + 3*c**3 - 16. Let a(s) be the third derivative of g(s). Factor a(m).\nAnswer: 5*m*(m - 2)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -20*x**2 + 8*x - 16. Let m(y) = y**2 - y + 1. Let w(r) = 16*m(r) + z(r). Find the second derivative of w(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/3 + (-14)\/42*(4 + -3). Which is the biggest value? (a) -2\/3 (b) -0.5 (c) l (d) 5.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = 18*y - 141*y. Solve -10*p = -15*p - 3*u, 0 = 3*p - y*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00833771606 rounded to five dps?\nAnswer: 0.00834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from kllwzzwk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + -1)*-1)**2*1.\nAnswer: -50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 369322 and 1788296.\nAnswer: 33977624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z + 2*z)*(10 - 6 + 3)*(-3*z**2 - z**2 + 3*z**2) + (-2 + 2 + 2)*(-z**4 + z**2 - z**2).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 - a**4 - a**4 + (-34*a + 8*a + 15*a)*(-a**3 - 1 + 1) + 3*a + a**4 - 3*a.\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*(-32)\/6. Solve y*w = -7 + 7 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1. Let c(g) = 4*g**2 + 9*g + 2. Let z(m) = c(m) + 5*w(m). Let t be z(-5). Let u = 64 - t. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0324 or 609917?\nAnswer: 609917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:20 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16693 or 1585832\/95?\nAnswer: 16693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78324830, 156649659, 234974488, 313299317, 391624146, 469948975?\nAnswer: 548273804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/199 or 0?\nAnswer: 8\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 5:31 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/430 and 1\/817?\nAnswer: 8170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 622743288 to the power of 1\/4, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786365?\nAnswer: 5, 157273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*m - 7. Let v(q) = -q**3 - 6*q**2 - q + 1. Let h be v(-6). Solve -m*o - 2 = -h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -345\/4*j + 1\/4*j**3 + 173\/4 + 171\/4*j**2.\nAnswer: (j - 1)**2*(j + 173)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 5*g - 4. Let w(l) = -6*l + 404. Let k be w(66). Solve 4*x = 4*a - 8, -a + g = 5*x + k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7195*p**4 - 2*p + 1959.\nAnswer: -86340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386534831*b**2*g + 12*b - 20906680*g wrt b?\nAnswer: 773069662*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -487 + 393?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -347, -515, -683, -851, -1019?\n\"Answer: -168*t - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 9. Let r = -1534451.3 - -1534454.2999914. Let h = r + j. Round h to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-15)*-6 + 7 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 48 = 8*z - 22. Suppose -a + 3*j + 145 = -j, -5*a + 5*j + 725 = 0. Calculate the highest common divisor of a and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from ceeeceehehcc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let n(s) = 8*s - 9. Let u(f) = -5568*f + 289542. Let o be u(52). Let z(i) = i - 1. Determine c*n(q) + o*z(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12.22095 centuries?\nAnswer: 1222.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-39)*3\/6. Let s = -4\/11 + 19\/22. Which is the smallest value? (a) s (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*0.5.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 43*p - 54 = 10*n - 44*p, -5*n = 8*p - 82 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 309664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v + 3. Let k(g) be the third derivative of 45*g**2 + 0*g - 1\/4*g**4 - 1\/2*g**3 + 0. Give -4*f(u) - 5*k(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 46 * -36.9\nAnswer: -1697.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 188014 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -915625 - -505424857\/552. Calculate the common denominator of 61\/6 and i.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.28536 micrograms in tonnes?\nAnswer: 0.00000000000828536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1066862265.5 to the nearest 100000.\nAnswer: -1066900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**12*z*z**16)**9)**29)**(-11\/5) assuming z is positive.\nAnswer: z**(-83259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197 + -196.881. Let d = r - 0.104. Let s = -1.115 + d. Are s and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 2. Let f be s(-8). Let h be ((-4)\/f)\/((-2)\/6). Let r be (-3 + 3 + 0)\/h. Put 5, 7, r in ascending order.\nAnswer: r, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 u when four letters picked without replacement from {u: 2, l: 4, x: 9, z: 3, h: 1}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2187, 2191, 2195, 2199?\nAnswer: 2203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/42)\/(18834\/(-197757))?\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54595?\nAnswer: 5, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -52034620 divided by -10?\nAnswer: 5203462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhxxxzjjzjvbz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49490 divided by 10.\nAnswer: 4949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95))\/sqrt(5) - 2*sqrt(76).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/4201 and 39\/11.\nAnswer: 46211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/252 and -49\/1174.\nAnswer: 147924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:45 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/272, 3, 0, 0.2, -1 in decreasing order.\nAnswer: 3, 0.2, 1\/272, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times 3.3791?\nAnswer: -138.5431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 963 - 730. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/60 + l**4\/24 + l**3\/6 + 2*l**2. Let j(b) = -b**3 - b**2 - b - 1. Let m = 15 - 18. Give m*j(o) - 3*z(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 40\/36*4\/(-2)*13*153\/(-68)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 1:33 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 53521324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) - 585\/(-35). Let o = h + -15. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 400 + 130 = 0. Let g(w) = 2 - 3 - 5 + w. Calculate the least common multiple of 18 and g(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/6 - 666689*j\/3 - 444474222721\/6 = 0?\nAnswer: -666689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 18565*j - 18559. What is t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/100 + t**4\/60 + t**3\/3 + 4*t**2\/5 - 21*t. Let l(v) = 0. What is v?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) -2\/9 (c) 0 (d) -13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54348 = 2147698*l - 2148345*l for l.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-11 + 0 - (-335 + 319)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/5 - 2492*k**2\/5 + 464132*k\/5 - 710816 = 0.\nAnswer: 8, 194, 2290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -q - 46495, -2*q + 16 = 6. What is f rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 2*m**2 - 9*m + 994. Calculate the remainder when j(0) is divided by 111.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 12 - 6. Solve w*x = 4*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64842?\nAnswer: 2, 3, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 6 = 0, -76*q + 4*o = -78*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1925 divided by -35\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19071521333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/1748061 and 95\/324?\nAnswer: 6992244","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 551*a - 556*a - 3*b - 58 = 0, -3*b - 23 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7401 - 7400.973. What is the biggest value in -2, -0.05, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1273, -1453, -1935, -2869, -4405, -6693, -9883, -14125?\n\"Answer: -25*z**3 - z**2 - 2*z - 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/73 in 1, 0.4, -0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61890 is divided by 29436?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 106\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**4 + 26*f**3 + 5*f**2 + 400*f - 246963?\nAnswer: 4*f**3 + 78*f**2 + 10*f + 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/55 - 122\/165. Sort 0.2, s, 2 in increasing order.\nAnswer: s, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -741631, -2966503, -6674623, -11865991, -18540607?\n\"Answer: -741624*v**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -307?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.852 or 316?\nAnswer: 1.852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00096370784 rounded to 6 dps?\nAnswer: 0.000964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.3. Which is the second biggest value? (a) s (b) -0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:05 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 27\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12 = 3*l. Solve -4*o = 2*o - l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12485005681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 2. List the prime factors of b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 2081*y**2 + 2073*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(425) - 1*(sqrt(425)*2 + sqrt(425)))*-5*-6*-2 + -3)*-4)**2.\nAnswer: 115200*sqrt(17) + 391680144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -7?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*r + 5*p - 10, 0 = 3*r - 4*p + 20. Suppose m - 3*m - 2 = r. Sort -2, m, -13 in descending order.\nAnswer: m, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 9*d + 27. Let c be j(-2). Let o(f) = -33*f + 5. Determine o(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 15. Let x(p) = -3*p - p**2 - 8 + 2*p**2 - p**3 - q*p**2. List the prime factors of x(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8177183, 16354341, 24531499, 32708657?\nAnswer: 40885815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.443 + 0.057. What is the second smallest value in -0.2, j, -28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -57. Suppose t = -8*z + 4*z + 60. Solve d - z = -5*a + 3*d, 0 = -3*a - d + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*b + 51*b - 189 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 12) to base 13.\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36395621 to the power of 1\/2, to the nearest integer?\nAnswer: 6033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.002, 0.03, 3\/8, -0.5, 0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -343*b + 344*b. Calculate the remainder when 271 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2882303mm to kilometers.\nAnswer: 0.0000002882303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {s: 1, f: 2, i: 1, a: 1, c: 1, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26308.67+-876\nAnswer: 25432.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:11 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 + 264*q**2\/5 - 2472*q\/5 + 3904\/5.\nAnswer: -2*(q - 122)*(q - 8)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 6, -3*q = 4*t - 38 - 11. Let o be -15*30\/36*(-8)\/t. Calculate the greatest common factor of o and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100110100010101100 - -100000?\nAnswer: 1000100110100011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62041.\nAnswer: 7, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {s: 8, f: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:54 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10120 and 5?\nAnswer: -50600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14\/5 + 164\/55. Let n = 28875.3 - 28875. What is the fourth smallest value in n, o, -3\/8, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3 - 4) + 4 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Suppose -3*d + 2256 = d. Suppose 8*i - 4*i = d. Let x(b) = 3 - i*b - 3 + 140*b. What is k(x(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -3)*-2 + 2. Suppose n*t - 8 = 2*t. Let u = 3.6 + -0.6. Which is the smallest value? (a) u (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 - 99. Let c be -2 + ((-478)\/(-482) - o). Suppose 2*g = 5*y - 15, 23*g = 25*g + 10. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = -0*p - 3*p. Suppose 0 = 21*u - 11*u - 40. Calculate the lowest common multiple of (-67)\/(-7) - 56\/p and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 90\/(-33) - 7?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -88, 3, 7, -390, -5 in descending order.\nAnswer: 7, 3, 2, -5, -88, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 222*k - 81851. What is l(-196)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14382 from -0.09.\nAnswer: 14381.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 16 = -3*y. Let b(f) = -1914*f - 38213. Calculate the remainder when b(-20) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36930 take away -0.1?\nAnswer: 36930.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 - 5*s**3 + 5 - 5 + 14*s**3 - 5*s**2 in the form p*s**3 + j*s**2 + b + k*s and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = 8*i - 6*i + 39, -33*v + 9 = -36*v + 2*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -1 + -3 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14473 is divided by 7224.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3052*x + 121674. Give m(-40).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 11 = -2*q, -175*c - 48 = -179*c - 4*q for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9276, 18557, 27838, 37119, 46400?\n\"Answer: 9281*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 236.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 1\/6*y**4 + 0 + 3\/2*y**2 + 2\/3*y**3 + 3*y. What is w(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/15))\/(g**(-5\/2)*g)*g\/g**1*g**11 assuming g is positive.\nAnswer: g**(401\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*t - 479 + 104 = 0, b + 3*t - 204 = 0. What is the greatest common divisor of b and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*q + 7719 + 417 = -415*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -165.5, -1\/29, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z - 6*z + 2*z. Let j(t) be the first derivative of 2*t - 2. What is 2*d(l) + j(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129645006.\nAnswer: 2, 3, 71, 304331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1513*c**2 + 19*c - 90. Let k be n(6). Is (1*-2)\/20 - k\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - sqrt(500)*-1*-1) + sqrt(500))\/sqrt(10).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -2529, -5766, -10303, -16140, -23277?\nAnswer: -31714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/47993900 and 12\/11998475.\nAnswer: 47993900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1586942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 4. Let v(b) = -6 + 5 + 0 + 6 + 4*b. Let c(l) = 5*d(l) + 4*v(l). Let x(a) = -2 + 2*a + 2. Calculate c(x(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 minutes before 4:42 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -17\/6*a**3 - 1\/24*a**4 + 0 + 1\/60*a**6 - 70*a**2 + 0*a + 0*a**5. Differentiate n(q) with respect to q.\nAnswer: 6*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/139464 and 139\/1185444.\nAnswer: 2370888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 13. Let s be y(3). Let z be (4\/10)\/(2\/330). Suppose u + s*u - z = 0. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1516 + -1483.27. Let s = a + -33. Let j be 0 - 22\/126 - 1\/9. Is s < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30576872 to two decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*j = -207*j + 870. Solve 0 = 4*r + 3*n - 19, j*r + 5*n - 7 - 21 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 578*o + 17336. Determine p(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.525 * -112.5\nAnswer: -59.0625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19430.7019 + 19434. Let b = -0.09 - 3.19. Let x = b + m. Round x to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*f**3 + 2)*(-f**2 - 2 + 2) - 7*f + 53*f**5 - 55*f**5 - 2*f.\nAnswer: -4*f**5 - 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 3*s = 12 - 32, -4*m - 8*s = -8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 10*t - 6*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38233*c + 462 = -38200*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (-4 + sqrt(76) + 0))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/3))\/(((q*q**4)\/q)\/q))**(3\/32)*(q*q**2\/q)\/(q**(1\/4)\/q*q)*(q*q*(q\/(q*q*q**1))\/q)**(-5) assuming q is positive.\nAnswer: q**(103\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 1 + 2 - 3 + 15*i**2 - 6 - 13*i**2 + i**3 + 2*i to the form o + l*i**3 + c*i + y*i**4 + u*i**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/5 smaller than 20\/381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -2*j + 3*q, 12*j - 8*j - 2*q = 244. Solve 12*z + 2 = j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c, -3*t = c - 18. Let d(i) = -2*i**2 - 6*i + 6. Let q(n) = -2*n**2 - 7*n + 7 + 0 + 0*n. Calculate t*q(p) - 7*d(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. Let g(c) = -2 + 6*c + 2. Let o be g(d). Solve -x + u - 15 = -4*u, -4*x - o = -2*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001088353 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 479 and -0.4?\nAnswer: -191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {q: 3, w: 3, x: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -122, -110, -98?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 120111121 (base 3) to base 6\nAnswer: 124154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7, -1.4565, 0.4, -4 in decreasing order.\nAnswer: 0.4, 0, -2\/7, -1.4565, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519537.\nAnswer: 563, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/3912 and -53\/11736.\nAnswer: 11736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16401 + 111?\nAnswer: -16260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -21\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.2 and -0.205.\nAnswer: -6.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*l + 4*v - 15 = -103*l, -4*v - 20 = -4*l. Which is smaller: l or 76\/11?\nAnswer: 76\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 1 - 4*b - 2*b)*(0 + 29 + 21) - 9*b - 5*b + b as d + i*b and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9.28831 + -0.01796134\nAnswer: -9.30627134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((3\/11)\/(2\/(-11))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:41 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(152\/(-16) - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l - 17*l + 12*l)*((-3*l + 6*l - 2*l)*(-5*l**2 - 7*l**2 + l**2) + (3*l + 34 - 34)*(-l**2 + 0*l**2 - l**2)).\nAnswer: 272*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y + 16. Let u be (-5 + -1)*24\/9. Let q(d) = d**2 + 12*d - 18. Let r be q(-13). Let h(i) = i - i - 7*i + 5*i - 5. What is r*k(b) + u*h(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + v**2 - v**2 + (3*v**2 + 1 - 1 + (3*v - 4*v + 3*v)*(0 + 0 - 2*v) - 4*v - 3*v**2 + 4*v)*(-v**2 + 1 - 1).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = -4*j, 3*j + 2*j - 5*z - 10 = 0. Let i be 2618\/98 - ((-4)\/14 - j). Let m = i + -23. Solve a - 4*b = 24, 2*a - 5*a - m*b - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:42 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-48)*(-12)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (114\/18 - 6)*1*27381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32903 + 57458. Calculate the highest common divisor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1\/19 (b) -51\/41 (c) -11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.45 and -631.\nAnswer: -1545.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15476197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 0.1 (c) 2\/11 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*s + 23, 3*f + 6*s = 3*s - 9. Sort -3, f, 5, -4 in decreasing order.\nAnswer: 5, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 136378 + 68189 + 68189. Suppose 4*a = 2*y - 3*y + 6, 5*y = -5*a. Let b(u) = -u + u + u**a. What is b(j(r))?\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**5 - 6*o**3 + 94*o**4 - 2*o**3 - 62*o**4.\nAnswer: -2*o**3*(o - 2)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2 - 75*j - 5. Let t(d) = -3*d**2 + 38*d + 2. Determine -5*t(c) - 2*y(c).\nAnswer: c**2 - 40*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-64 + -2 - -3). Let m = 182\/3 - r. Factor -5\/3*o - 4\/3*o**2 - m - 1\/3*o**3.\nAnswer: -(o + 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125888300 + -0.54367.\nAnswer: 125888299.45633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4725.8 and -0.5.\nAnswer: -2362.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -5 - 283*(-17 - -9). Calculate the highest common divisor of u and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -5. Suppose -9*j = -5*j + q. Let p = -16 - j. Let w(b) = -b**3 - 6*b**2 + b + 6. What is w(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -7)*(21\/(-10) + 2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/509, -0.3, -1\/3, 7\/9, -3?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g + 43*g + 396 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.103, 0.2, 15, 1\/4 in decreasing order.\nAnswer: 15, 1.103, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 - (68 - 8) - 2*2. Let b = 59 + c. Solve -4*o + 3*o = b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a*a**(2\/13)*a)\/((a*a\/a**(-2\/37))\/a**(1\/26)))**26 assuming a is positive.\nAnswer: a**(133\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = n + 12. Let i be (-2 - -4) + (2 - n). Suppose 5*a - 6 = i. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, 1.7, 616, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.94 + 1.34. What is the fourth smallest value in 5, 1, -3\/5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112493326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqsq when four letters picked without replacement from qsqqqssq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09052 times -3.8?\nAnswer: -0.343976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + t. Let a be m(-1). Let v = -283 - -285. Sort -4, a, v in ascending order.\nAnswer: -4, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lle when three letters picked without replacement from efeeeelylyfl?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:10 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 93 (b) 0.0372 (c) -0.207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3 times 1?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -112001 (base 3) in base 13?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*x - 29, 0 = -5*z + 5*x + 7 + 33. Let p(j) = -z*j - j + 9*j - 2*j. Let l(a) = 3*a**2. Give l(p(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 21.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 - 17*y**2 + 4*y + 4. Let g(k) = 8*k**3 + 33*k**2 - 9*k - 9. Calculate -9*d(x) - 4*g(x).\nAnswer: 4*x**3 + 21*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-25) + -3)*3*12\/(-216)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 297*v**4 - 592*v**4 + 274*v**4 + 2*v**3 - v**5 - 255*v**2 - 2*v**3 wrt v.\nAnswer: -60*v**2 - 504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287 - 301 + 1621*d**2 + 2087*d**3 + 590 wrt d.\nAnswer: 12522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*s + 97, -4*f - 4*s + 49 + 3 = 0. Suppose 0 = r - 0*r - 12. What is the smallest common multiple of r and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 3*t + 0*t + (34 - 144 - 55)*(1 - 3*t - 1) + (0 - 1 + 4)*(10 - 10 + 7*t) as a + r*t and give r.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {d: 3, o: 2, t: 2, a: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggy when three letters picked without replacement from {y: 1, s: 1, g: 2, x: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {b: 1, z: 1, a: 3, h: 4, k: 4, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1525 = 6*a - 305. Let v = -173 + a. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 3*d**3 - 5*d**3 - 159*d**2 + 57*d**3 + 159*d**2 + (13 - 13 + 9*d)*(-4*d**2 + 4*d**2 + 2*d**2).\nAnswer: 74*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 83. Suppose a + 3*z = z - 12, 0 = 2*a + z + g. Suppose -5*o + 0*o - 11 = 4*l, 0 = -4*l - 2*o - 2. What is the third smallest value in a, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 1}. Give prob of picking 1 h and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 1177220.\nAnswer: 8240540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 189, 341, 511, 705?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v - 170. Determine h(-18).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 2\/9 (b) -0.4 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/35)\/p))**(-41))**(-2\/57) assuming p is positive.\nAnswer: p**(5822\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(320) + sqrt(320)*-1 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5761326 divided by -26.\nAnswer: -2880663\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.01 + -0.01. Let l(u) = -3*u + 4. Let b be l(4). Let w be (b\/(-3) + 0)*6\/168. Sort w, -1, 2, f in increasing order.\nAnswer: -1, w, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96029160*d**2 + 393146949*d?\nAnswer: 192058320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-29)\/10) + -12 + (-933)\/(-30). Solve 42*m = -v*m - 366 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 35. Let g = o + 31. Let n(v) = v**2 + 2*v - 22. Let m be n(5). What is the greatest common divisor of m and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 992.18 + -1135.4. Let p = -144 - f. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.892 * 2.\nAnswer: 55.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 21 = i. Suppose i*w - 100 = 5*w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114707 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1102 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -8*d**2 + 0*d**3 + 0*d + 0 - 1\/24*d**4. Let z(i) = 24*i**2. Give b(z(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-2\/7))**(1\/6) assuming l is positive.\nAnswer: l**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 634.00000079 - 634. Round k to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6390533505 to the nearest integer?\nAnswer: 79941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448, 434, 406, 358, 284, 178, 34?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 29320*d**2 + 49890660*d + 19358001360.\nAnswer: 5*(d + 548)*(d + 2658)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -17*u**5\/10 + u**4\/6 + 133*u**3\/2 - 9*u. Find the second derivative of w(b) wrt b.\nAnswer: -204*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) 0.4 (c) 85 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6800 + 8326 = -226*q - 4762 for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 13*n = 3*b - 16, -5*b - 3*n + 16 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or -560\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -345, -518, -691?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1. Let a(s) = 1 + 4*s + 4 + 0 - 10*s**2. Let g = 2 + 3. Let j(x) = g*r(x) - a(x). Factor j(y).\nAnswer: 2*y*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t - 5 = 0. Let i(d) = d**3 - 5*d**2 - 5*d. Let k(z) = 3*z**2 + 3*z. Calculate t*k(u) + 3*i(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*j = 59*j - 60. Let i be (12\/j)\/((-260)\/(-25)). Are 1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/36 - (-34)\/9. Solve 0 = -h*b + 3*g - 11, 2*g + 8 = -5*b - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858288 is divided by 12604?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*y**2 - 3 + 434*y**2 + 3 - 822*y**2.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4293\/(-25758)*((-8)\/18)\/(1\/(-3))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 7*n + 6. Let o be 4 - 0\/(1 - -1). Suppose o*k - 4 = -12. Let h be (30\/12)\/((-1)\/k). What is y(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + ((-1*sqrt(2057) + 3)**2 - (4 + -2*sqrt(2057))).\nAnswer: -44*sqrt(17) + 2062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -412*z - 282*z + 3*z as v + r*z and give r.\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 281588031 to the power of 1\/2, to the nearest integer?\nAnswer: 16781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g - 964805 = -5*f + 89*g, -771875 = -4*f + 3*g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 302, 0.05, 0.6, 8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*t**3 + 1730*t**2 + 326718*t wrt t.\nAnswer: -258*t + 3460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 558\/(3\/12*4). Let v be (20\/16)\/(-5) - i\/8. Let t = -74 - v. Is -1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 3*u + 2. Let b(z) = -z**2 + 50*z + 6. Calculate -b(v) + 3*f(v).\nAnswer: -5*v**2 - 59*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30339 + 30424. Calculate the highest common divisor of f and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let u = 3 + r. What is the third derivative of 5*b**5 + u*b**2 - 2*b**2 - b**5 wrt b?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + (-10 - (-9 + (-4 - 1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 3*z, -5*y + 29 = 2*z - 4. Suppose 2*s + 4*d - 16 = 0, -20 = 4*s - s - y*d. Solve s*o - 3*o + 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.126 - 116.874. Let c = 116.999894 + n. Round c to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2919*g - 719*g = -1060*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -606.9 + 607. Is l >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 235 + 197 = 10*s. Let j(t) = 4*t**3 + t**2 - 2*t + 1. Let m be j(1). Let c be m\/6*51\/2. Solve 5*g - c = -s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/9))\/(h*h**(-4)*h)*(h\/(h\/h**(-2)))\/(h*h**(2\/19))*((h\/(h\/(h\/(h*h**(-2\/7)*h))))\/h**4)\/(h**(1\/3)\/h**(6\/7)) assuming h is positive.\nAnswer: h**(-4876\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c - 2*r - 16 - 46 = -19*c, -14*r - 491 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802 - 291 = 7*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -714149, -714136, -714101, -714032, -713917, -713744, -713501, -713176?\n\"Answer: 2*v**3 - v**2 + 2*v - 714152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 477\/371 - (-4 - -5)\/(1 + 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = -0*w + m, 3*w = -2*m + 2. Let f be w\/(-2 - (-218)\/110). Let k = f + 259. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -91*i**2 - 75*i + 304. Determine q(4).\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-6))\/((-1)\/(-3)). Let q be 0 + (4 - (0 - -2)). Suppose -q*g - 14 = 4*z, -h*z - 9 = -3*g + 3. Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/349, -2, 41\/6, 0, -0.031?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 74, 352, 898, 1778, 3058, 4804?\n\"Answer: 11*d**3 + 68*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002361139 rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 249574455 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/5)\/v**3 assuming v is positive.\nAnswer: v**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/6 + 1766174*s\/3 + 1559685299138\/3 = 0. Calculate s.\nAnswer: -1766174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 16.4. Round c to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esr when three letters picked without replacement from irsesprsesrs?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzddzdzzz. Give prob of sequence zzdd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17630?\nAnswer: 2, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 2*w = 3612. Let a be 3 - w\/4*4. Is a\/(-4) + 33\/(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.145 from -21856.\nAnswer: -21872.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18*b. Let i(m) = -17*m**2 - 18*m**2 + 36*m**2. What is s(i(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16*j**3 - 4*j**2 - j - 1. Let g be i(4). Let t be 7 + 5 + 4 + -8. Suppose -t*p = -3*p - g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*x - 92*x - 71*x - 159*x.\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1045 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 55738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53930846*v**3 - 107861793*v**3 + 53930903*v**3.\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 923817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 17685.7534\nAnswer: -88428.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*q + 18 = -29, -5*q - 41 = -f. Suppose 0 = 5*v - 2*v - f. Let s = -33 - -48. What is the remainder when s is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/((b\/b**(-5))\/b)*b\/(b*b**(-7\/2)*b) assuming b is positive.\nAnswer: 1\/sqrt(b)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2 - 16 - 3*b**2 + 16 - 4*b**4 wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4140 - -9348. List the prime factors of g.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**11\/7920 + y**7\/420 + 2*y**4\/3 - y. Let t(z) be the third derivative of d(z). What is the third derivative of t(g) wrt g?\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -8)*(0 - 1 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*f - 2342 = 9089 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v*v\/(v\/(v**(-3\/10)\/v))*v*v)\/v))\/v**(8\/7) assuming v is positive.\nAnswer: v**(-129\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b + 128. Let g be z(-21). Let q be -121*(-2)\/5 + 16\/g. Sort -1, q, 1, 5.\nAnswer: -1, 1, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -13*u**2 - 9*u. Let a(j) be the third derivative of j**4\/12 + 2*j**2 + 78*j. Determine a(o(t)).\nAnswer: -26*t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5732 + 2.5774. Let s = m + -0.0042. What is the nearest to 2\/3 in -4, s, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 98b9b8 + 1?\nAnswer: 98b9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - -2. Let l = -1\/5 - -3\/5. What is the closest to l in j, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 5787.9, 1, 12, -0.14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 4*g + g + (56 - 56 + 6*g)*(2 - 3 + 0) + 0 + 0 - g)*(2 - 2 + g) - 6*g**2 + 31 - 9 + 0*g**2 as z + p*g + j*g**2 and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + -5 + (6 - -21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253 and 3082.\nAnswer: 33902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a = -30*a - 272. Let g(j) = 2*j**2 + 17 + 15 + a - 48. Let p(l) = 341*l**2. Determine g(p(y)).\nAnswer: 232562*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 2*y. Let j(d) = -2*d + 11. Let q be j(4). What is h(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 - 27*g - 25. Let h be d(-5). Let k be (-15)\/(-9)*51\/h - -1. Factor p**3 - 2*p + 1\/2*p**4 + 2 - 3\/2*p**k.\nAnswer: (p - 1)**2*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28711598 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/3 + 188*m**3\/3 - 243*m**2 - 1298*m\/3 + 1840\/3 = 0 for m.\nAnswer: -2, 1, 5, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5593.357mm?\nAnswer: 5593357000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(0 + sqrt(1300) + -4 + -1*sqrt(1300))**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - -2415\nAnswer: 2415.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207 (base 15) to base 5.\nAnswer: -3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + 0 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2954.89 + -2916. Let f = n + -0.89. Let q = 37.6 - f. What is the nearest to 1\/3 in 1, 5, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {y: 2, h: 1, r: 1, e: 1, t: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217188787*w**3*z + w**3 + 54735236*w**2*z - 4*w*z wrt w?\nAnswer: 1303132722*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 0.9. Which is the third biggest value? (a) 7\/5 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26633 + 9*a**2 + 26633.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11160749?\nAnswer: 173, 64513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*z - 2240, -z = 4*t - 1248 - 980. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6577700 to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s. Let y(j) = -6*j - 7 + 4 + 2. Let a(v) = 4*u(v) + 5*y(v). Suppose -3*g - 2 = -43*d + 41*d, -2*d - 5*g + 18 = 0. Determine a(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**4 - 4*y**3 - 2*y + 5. Let j(k) = -15*k**4 - 13*k**3 - 4*k + 15. Let b(s) = -17*h(s) + 6*j(s). Factor b(g).\nAnswer: -5*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z + 15. Let g(r) = -20*r + 48. What is -3*g(u) + 10*n(u)?\nAnswer: -10*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117471287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 5, 0 in increasing order.\nAnswer: -7, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -19*o + 2. Let x be n(-2). Let l = x - 18. Suppose i = -i + l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3773747 - -3?\nAnswer: -3773744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -12. Suppose -f*a = -15*a - 30. Let q be (3 - 2)\/(2\/6). Calculate the greatest common divisor of a and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -52, 13, 114, 4, 7 in decreasing order.\nAnswer: 114, 13, 7, 4, 2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14515 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -319a65 (base 16) in base 5?\nAnswer: -1313011124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkorok. Give prob of sequence kor.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4267596*a**3 - 653068*a + 2 wrt a.\nAnswer: -25605576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/13, 3\/7, -8, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, 5, 49, 129, 257, 445, 705?\n\"Answer: 2*u**3 + 6*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7216.1 + 11?\nAnswer: 7227.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6279 (base 11) in base 6?\nAnswer: -102254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 t, and 1 n when four letters picked without replacement from onqqthhsthsh.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*t - 365*t + 21 = u, 5*t - 5*u - 115 = 0. Suppose 0 = -2*s + 2*k + 6, -s = -3*s - k + 21. What is the least common multiple of s and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 12*d - 24. Let i be x(10). Is (30\/(-20))\/(2\/i) + 374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*w - 3527 = 215*w - 617 + 753 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13409 and 58504686?\nAnswer: 643551546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 19 = 3*d, 2*d - 2*x = 20 - 2. Suppose 0*p + d*p = 10. Suppose -h + p*h = 33. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 + 2*m**3 - m**3)*(9 - 2 - 3) - 84*m**2 + 84*m**2 - 6*m**3 to the form a*m**3 + o + y*m**2 + z*m and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -18. What is the remainder when 76 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2893 = -n + 20774, -5*n = -5*h - 89395. List the prime factors of n.\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from stbbbbbbbbbybtttbyb?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**3 - 4*m**2 + 2. Let g be j(1). Solve -3 = 2*p - 4*u + 1, g*p + 16 = -4*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -6\/1265, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.6. Let r = 0.6 - i. Let s = -9\/10 - -3\/20. Which is the biggest value? (a) r (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 44258307*a**2 + 265549950*a.\nAnswer: -3*a*(a - 14752775)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 3175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + 2.3. Let p = -0.1019 + 0.1019. What is the smallest value in p, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/12)\/((-2)\/4). Suppose 17 = v - 4*w + w, v = 5*w + 27. What is the nearest to s in v, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*i + 3*b, -23 = -4*i - b - 0*b. Suppose 24 = i*k - 46. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubbkffkpfupffbf. Give prob of sequence kb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 0, -5, -1, 182, 6\/31?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 9*q + 40. What is y(8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19692051?\nAnswer: 3, 89, 131, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from xqvxqkqvxxm.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 486012, 1943978, 4373922, 7775844?\n\"Answer: 485989*g**2 - g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66546 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 0, -g - d + 2 - 4 = 0. Let i be (-5)\/5*(g - 0). Suppose i*o - 5*y + 8 = 0, o + 0*o + y = 8. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 - 8. Let v = 33 + -9. Let n(x) = -x**2 + 1. Let t(d) = v*n(d) + 3*i(d). Let q(h) = -26*h. Give q(t(k)).\nAnswer: 78*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 2*o)*(-15*o - 4*o - 5*o)*(-4 - 2 + 2) + (0 - 2 + 1)*(o**2 - 2*o + 2*o).\nAnswer: -97*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3415186.\nAnswer: 2, 1153, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210001 (base 3) to base 12.\nAnswer: -901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -12*c + 3*c + 9*u + 24 - 13 + 32, 4*c - 27 = u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -69722 divided by -69722\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - x**3 + 2*x**3 + 8*x**2 + 2. Let t be w(8). Suppose -z - 8 + 5 = 2*y, 30 = t*z - 5*y. Solve 7*m = -z*a + 2*m + 5, -4*a + 4*m - 28 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by -56?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1340 or -1345?\nAnswer: -1345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1014, 1987, 2960, 3933?\n\"Answer: 973*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) -4 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 51. Let i(c) = -c**2 + 2*c - 14. Let w(h) = -3*i(h) + k(h). What is w(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 9*w = 13*w + 16, -5*q + 4*w - 7*w - 13 = 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3058 = 4*l + 2*h, 5*h - 742 = -10*l + 9*l. Let a = 7168 - l. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/13 - 119442924*f\/13 + 1783326511708722\/13.\nAnswer: 2*(f - 29860731)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15303035.06799967 + 15303035. Let w = 0.068 + g. What is w rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -9 - (-4 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s + 32*s + 25*s + 60 - 39*s + 17*s to y*s + o and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 48. Suppose -2 = -6*u + z. Let d be 2\/u + (-805)\/(-21). Calculate the greatest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 6*k + 5*k + 3*k - 11*k.\nAnswer: 3*k - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 2 j when four letters picked without replacement from jjxlauaxaxujlhua.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/6, -8, -36, 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 2:20 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50223.28741 - -50223. Round x to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**3\/7 - 1112*y**2\/7 - 7940*y\/7 - 11400\/7 = 0.\nAnswer: -5, -2, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1784382*y - 3 + 0 + 584381*y. Suppose 0 = n + 2*l - 7, 6 = 3*n - 0*l + 3*l. Let v be r(n). Round v to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 454*b**2*j**3 - 6*b*j**3 + 12*b*j wrt b?\nAnswer: 908*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) - 126\/(-216). What is the closest to -1.4 in w, -1, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**6 + 12116992*k**4 + 2*k**3 - 152017905*k**2?\nAnswer: -480*k**3 + 290807808*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.441603 and 92.97.\nAnswer: 83.528397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736 = 8*k + 744 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40, 0.2, -17\/6, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 5}. Give prob of sequence ss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-120)\/450*(-20)\/24. Put -0.28, k, 47 in decreasing order.\nAnswer: 47, k, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 + 162. Sort s, 13, -1 in decreasing order.\nAnswer: 13, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/36521?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 48?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1774 - 7*q**3 + 25*q**2 - q**4 + 67*q - 3527 + 1789.\nAnswer: -(q - 4)*(q + 1)**2*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102077 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15849*j**2 - j + 2. Let s be y(2). Let d be s\/(-198) + (-4)\/22. Suppose 3*c - d = -89. List the prime factors of c.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - (sqrt(4131) + -3*sqrt(4131)))\/sqrt(3) + ((5*(sqrt(187) - sqrt(187)*-3) + sqrt(187) + sqrt(187))\/sqrt(11))**2.\nAnswer: 19*sqrt(17) + 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 58*u - 4411. Calculate s(76).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/g**(1\/7))\/(g**(1\/3)\/(g*g\/g**(1\/3))))\/(g**(-3\/5)*g*g**(-1\/4)*(g**(-2\/5)\/g)**(-14)) assuming g is positive.\nAnswer: g**(-1811\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1040 - 1017. Solve -v*a - 7 + 53 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**3\/6 + 2*k**2 - 56*k + 1. Let s be 19\/3 - (-2)\/(-6). What is the units digit of u(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 3ec4?\nAnswer: 3ec6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (627\/285)\/(4 - -14*1\/(-4)). Factor -68\/5*v - 2\/5*v**3 - k*v**2 - 48\/5.\nAnswer: -2*(v + 1)*(v + 4)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 - 0.1. Let n = 4.6 + f. Let y = -1 + 1. Put n, y, 2\/7 in increasing order.\nAnswer: n, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r - 15*r = -3936. Find the common denominator of 2\/21 + r\/(-360) and 67\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 0*k**3 - k**3 + 6*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f**3 - 172*f**2 - 317*f - 154.\nAnswer: -(f + 1)**2*(9*f + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550585 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/(-12) + 3 + 143\/(-108) and 95\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, and 1 w when three letters picked without replacement from wriwxwy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-7 + 4 + -4 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 53 = 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5756031?\nAnswer: 3, 19, 41, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51954883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -17. Suppose -3*p = -2*g - j*p + 4, 5*g - 3*p - 8 = 0. Suppose 4*m = 3*m - g, 5*m + 52 = 4*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201 + 199 + (-1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-14)\/(-1 + -1). Suppose 5*y = 27 - l. Let r(q) = -q**2 + 2*q. Let m(f) = -f**2 + f. Let s(x) = y*r(x) - 6*m(x). Solve s(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3345.\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 13 (b) -0.5 (c) 3929 (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15d38 (base 14) in base 15?\nAnswer: -1133e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100201 + 111010?\nAnswer: 211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/(6\/40). Let c be (500\/150)\/((-10)\/(-72)). Solve -2*n = -4*s - r, -3*n + 3*s + c = -7*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4855.9 times 9300\nAnswer: -45159870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -432*t - 4640. Let l be g(-11). Solve -103*b = -l*b + 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -635*k**2 + 62231*k - 113. Give a(98).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 - 2 = 0. Let z be 64\/8 - 0\/r. Suppose 266 + 54 = 5*u. What is the greatest common divisor of u and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4)\/o)**9*(o*o\/((o\/(o**28*o))\/o))\/((o*o**(2\/7)\/o*o*o)\/o))**(4\/19) assuming o is positive.\nAnswer: o**(-176\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23\/30 - (-31)\/465. Solve 0*f + 0 + 2\/3*f**2 + 1\/6*f**5 + t*f**4 + 4\/3*f**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -133. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 309544 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 + -4 + 7. Let o be h\/(-22) + (-138)\/(-33). What is the derivative of 1 - 2*v + 5*v - o*v wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*i = -35, -2*r + 5*i + 31 - 1 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by -6?\nAnswer: -103\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*v**2 + 7541*v**3 - 140*v**2 + 2900*v**3.\nAnswer: 10441*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -386\/18649?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.171736488 less than 15?\nAnswer: -45.171736488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1353 and 246.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/6 + 47*z**2 - 25*z. Let n be s(0). What is the highest common divisor of 235 and n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 29 = 5*b, -4*x + 49049*b = 49045*b - 36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bguaa. What is prob of sequence bg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 737019 - -20?\nAnswer: 737039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let q = -1311 + 1310.5. Which is the second smallest value? (a) 4 (b) -4 (c) q (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -884, -972, -1046, -1100, -1128, -1124?\n\"Answer: q**3 + q**2 - 98*q - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 2. Let z be v(0). Let d be 1*(12\/z)\/3. Suppose 0 = 8*b + 63*b + 5*b + 76. Sort 3, d, b, -3 in descending order.\nAnswer: 3, b, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 14. Let u(w) = -w**3 - 7*w**2 + 6*w - 4. Let x be u(-8). Let p be f(x). Suppose p*d + n = 426, -d + 0*n + 215 = n. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**9\/252 + y**5\/60 + y**2\/2 - 3. Let d(s) be the second derivative of t(s). What is the third derivative of d(h) wrt h?\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8566 - 5146. Calculate the highest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86506681 is divided by 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 - 965*r**2 - 229392*r + 1653372 = 0. What is r?\nAnswer: -486, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -41563*r + 8696. Let y(g) = -16628*g + 3478. Let p(h) = -5*o(h) + 12*y(h). Differentiate p(n) with respect to n.\nAnswer: 8279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2) - 1900\/14. Let n = 135 + r. Let q = 4203 + -4202. What is the nearest to q in 0.3, n, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001789622 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**4 - 9 - 5*d**2 - 10*d**2 - 40*d**3 - 4*d**2 + 6*d**4 + 21*d**2 to the form t*d**4 + h + k*d + g*d**3 + l*d**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -441\/2 - -1811\/8. What is the common denominator of -89\/32 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 464553 (base 9) to base 3\nAnswer: 112011121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose 0 = v*f - 11 + 1. Suppose f*l - 68 = 7. Solve -x - 2*x + l = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.02 (c) 1\/3 (d) 1\/4 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 - 2*a**2 - 2. Let y(x) = -6*x**3 - 5*x**2 + x - 5. Suppose -4*d + 3*r = -35, -5*d + 35 = -2*r - 0*r. Determine d*t(j) - 2*y(j).\nAnswer: -3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -60, 5, -1\/3, 2\/5 in increasing order.\nAnswer: -60, -5, -1\/3, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**3 - 253*u**2 - 32*u - 4. Let h(r) = 2*r**3 + 69*r**2 + 8*r + 1. Determine 11*h(v) + 3*y(v).\nAnswer: -2*v**3 - 8*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6)*(-213)\/(-4). Let t = n + 631\/36. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*h + 4 = -3*h, -4*x - 4*h - 16 = 0. Let r be x*((-6)\/3 - -1). What is the second derivative of -y**4 + y + 0*y**4 - r*y - y wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:26 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 8*u - 7. Let l be c(-7). Let i be l\/3 - (-35 + 3). What is the highest common factor of 48 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 50. Let n = -183 + j. Let d = 144.000067 + n. Round d to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (673 - 675) + -41 + 1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:34 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*q - 3579*q - 47030 - 29931 - 2006 = 0 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 796, 1034, 1146, 1132, 992, 726, 334?\n\"Answer: -63*d**2 + 427*d + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65)\/(-20) - (-2)\/(-8). Let x(t) = t - 3. Let p be x(k). List the prime factors of 8 - (-1 + p + -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -736, -1164, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.4. Let n = 324.49 - 324. Let j = n + -1.49. Which is the nearest to j? (a) i (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/665 - -87\/5320. Is 0.1 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence susu when four letters picked without replacement from usussrusususuusssss?\nAnswer: 385\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*i + 5*i. Solve j - 1 = -i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.96601 meters in millimeters?\nAnswer: 19966.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + l - 6*l - 684682*l**2 + 684673*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*p - 5675 + 14447 = -22*p. What is the greatest common factor of p and 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/3, -0.048, 5, 21?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*q + 14*k + 67 = 111*q, -4*q + 5*k = -35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 945 and 675.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 1, 1\/2, 1\/72, 2\/69, 2\/9?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 8*b**2 + 181*b + 945. Calculate r(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q + 92*q + 223*q = -14*q + 18768 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + (-533)\/52)\/((-2)\/16). Solve -2*n + 0*n = -2*b - 8, 3*n + h*b = -13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731294591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*r + 3*s = 128*r - 40, 3 = r + s for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -2\/7, -0.3, 51.16, -684 in descending order.\nAnswer: 51.16, 2\/17, -2\/7, -0.3, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128055 plus 687?\nAnswer: 3128742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s - 3*s**2 + 2*s**2 + 5*s + 2*s**2 + 2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 0.1, -39\/10, -0.2, -16?\nAnswer: -39\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -75*x**3 + x**2 - x - 1. Let i be q(-1). Let f = i + -50. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(-95) + (-1326)\/(-1445) - (-1116)\/51?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5215*a - 5211*a + 2*h - 24, 36*a - 3*h = 216 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1345393509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -19.8. Let p = 20 - r. Do 4 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-714)\/30 + 24)*35?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1, -634 in descending order.\nAnswer: 2, 1, -2, -634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53, -184, -395, -686, -1057, -1508, -2039?\n\"Answer: -40*b**2 - 11*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0*g + g + 0*g. Let w(h) = -h - 1. Let f be w(-3). Let x(z) = -z + 2*z - f*z. Calculate i(x(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 0, 1 = 2*m - 2*v + 21. Suppose u = -u + 6*u. Which is the nearest to u? (a) -0.4 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -1\/28*z**8 + 0*z**7 + 0*z**5 + 0 + 1\/2*z**4 + 0*z**3 + 0*z**2 + 0*z**6 - 4*z. What is the third derivative of c(y) wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 6 + 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 25*b - 57. Let v be l(30). Let t = 122 - v. Calculate the highest common factor of t and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**3\/6 + w**2\/2 + 2*w. Let n be s(2). Calculate the lowest common multiple of n\/((-1)\/(14 + -3)) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1327*c - 14527. What is the thousands digit of i(49)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7052*z = -6675*z + 22997 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.035 and 0.089?\nAnswer: 0.003115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-25))**9 assuming n is positive.\nAnswer: n**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*s = -2*s + 12, 3*s + 20 = 5*n. Let x be (-4)\/(-6) + 5 + (-65)\/(-15). Solve 3*j + x = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 213068822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 12*r**5 - 1803*r**4 - 6972*r**3 + 6369*r**2 + 15330*r - 12936 = 0.\nAnswer: -4, -7\/4, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -0*j + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + x + 21, 3*q + x = 11. Solve -q*a = -0*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) 127 (b) -135 (c) 0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2762, 3961, 5160?\nAnswer: 6359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*-6*(sqrt(75) + sqrt(75) + 0)*-4*3)**2.\nAnswer: -111974400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 579?\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3\/2 (c) -1.7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-14) + (-14)\/(-4). Let u = 5 - 0. Suppose -t = 2*a - 91, 0 = -k*a + u*t - t + 106. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 4*s. Let o(c) = c. Suppose -p - 14 = 4*n, -n = 2*p - 6*p - 22. Suppose -5*x = 7 - 2. Determine p*o(j) + x*v(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Let z(o) = 4*o - 9. Find the common denominator of z(-7) and (k\/20)\/(8\/(-415)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5898466.\nAnswer: -5\/5898466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 9 = 2*n + 2*g, 3*n - 2*g - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1154\/1853 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*z**4 - 60*z**4 + 15*z**5)*(-3 - 3 + 4).\nAnswer: -30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 44 - 10 + r**2 + 2*r**2 - 32*r - 22 + 0*r**2. List the prime factors of y(15).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48735126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5 - 1. Calculate the remainder when 40 is divided by (0 + y)\/((-3)\/42).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1 - (-15)\/21. Suppose -2*t + t + 4 = 2*c, 0 = 5*c + t - 13. Suppose 0 = -q + 3, 3*g - 3 = c*q - 4*q. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7644.728 days in hours?\nAnswer: 183473.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k\/k**(4\/7))*k*k*k**11*k*k*k*(k*k*k*k*k\/(k*k\/k**(-1)))\/((k**(-7)*k)\/k) assuming k is positive.\nAnswer: k**(179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15069 - -23197. What are the prime factors of j?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.69 or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8753 + 8752.9. What is the nearest to 8\/9 in q, -0.2, -7\/3, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168294341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.0998 - -0.0998. Which is smaller: s or -0.37?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3 = -3*u + 7, 4*u - 7 = 3*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*u**2 - 1288061*u - 328951178.\nAnswer: 54*u - 1288061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.547 + 0.053. Let o = 225.2 - 222.6176. Let x = o - w. Round x to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + r + 79, 4*l - l - 2*r = -108. Let f = 41 + l. Calculate the lowest common multiple of -3 - (-2 + f - 13) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 - 44 + 22)*(-2*z + 2*z**2 + 2*z)*(3 + 4 - 5)*(12 - 3 - 2) as d*z**2 + n*z + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4)*12\/1005. Let d = -314294 + 314291. What is the second smallest value in 0.3, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 92092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579 divided by 3926?\nAnswer: -1579\/3926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -1623998?\nAnswer: 1624001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 255*g**2 + g - 411.\nAnswer: 510*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {v: 1, y: 5, s: 2, t: 1, b: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 1.22.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 48*m**2 - 3*m + 47*m**2. Let j(d) = 2*d**2. Calculate -3*j(v) - 5*s(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -373*j + 2. Let f be r(-1). Suppose -1467 - 213 = -3*x. Let o = x - f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-82)\/(-8) - 3\/12. Suppose -5*s = h + 10. Let w(t) = -3*t - 5. Let x(r) = 10*r - 4 - 27*r + 15*r. What is s*w(k) + 5*x(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*m**2 - 243*m**2 + 0 - 156*m**2 + 495*m**2 + 0.\nAnswer: -99*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((1*148)\/4)\/2 and 49\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161120381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/3 + 108*r**3 + 4680*r**2 + 24336*r = 0 for r.\nAnswer: -78, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1\/x*x)**(1\/22)\/(((x\/x**(-1))\/x)\/(x\/((x*x**1)\/x))))\/((((x\/(x*x\/(x*(x\/(x*x**(2\/3)*x))\/x)))\/x)\/x)**(3\/16))**(-34) assuming x is positive.\nAnswer: x**(-1349\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*o + 1202*o - 436*o - 319*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 78\/21 - (-2)\/7. Let x = 0.11 - 0.31. Which is the smallest value? (a) y (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 819490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167.394 - -0.394. Let j = -186 - h. Which is the smallest value? (a) -1 (b) 1\/10 (c) j (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59200185 and 158730?\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/2 - (-1 + -1). Suppose -m*k + 3 = -3*h, 5*h + 3*k = -0*k + 24. Suppose -c + 30 = h*c - 2*g, c - 4 = 4*g. Solve c*o - 3*o + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:48 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -3b?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3773 divided by -343?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 13. Let t(f) = -26*f - 1200. Let y(h) = -9*h - 422. Let x(b) = -6*t(b) + 17*y(b). Calculate 5*q(o) + 3*x(o).\nAnswer: -o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -3, 5949, -3\/26.\nAnswer: -3, -3\/26, 2\/11, 5949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 7*f - 360. Let p = -34 - f. Let l be p + 7\/((-7)\/(-3)). Is 30 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*h**5 + 183*h**4 + 6939*h**3 - 16587*h**2 - 189786*h + 78120 = 0. Calculate h.\nAnswer: -31\/3, -5, 2\/5, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3769 (c) 8 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 + 156. Solve w = -3*i - 5*k + 14, 3*i + 5*k - 2 = 3*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3582809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2. Let u(k) = k - 13945. Give s(u(v)).\nAnswer: 5*v**2 - 139450*v + 972315125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -3 - (-9 + 3 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 17, 40, 81, 146?\n\"Answer: t**3 + 4*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 17*i**4\/12 + i**3\/3 - 3*i**2\/2 - i + 3. Let y(n) = 35*n**2 + 3*n - 5. What is -3*y(k) + 5*z(k)?\nAnswer: -20*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 5 = -d. What is the units digit of (6\/10)\/d + 8637\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Suppose 11*p + n*a = 6*p + 60, -a + 36 = 3*p. Suppose -f - f + p = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12375.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -2) + 2 + -1. Suppose -5*o = 4*r + 27, 3*r - o + d + 4 = 0. Let c(h) = -7*h - 4. What is the remainder when c(r) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let b(o) = -o**y + o**2 + 4*o**2. Let h(z) = -2*z - 3. Let c(r) = r + 1. Let l(j) = 6*c(j) + 2*h(j). Determine b(l(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2079 and 630?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 19783*x - 1703235. Determine w(85).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(448) + sqrt(448)*1 + -1))**2.\nAnswer: -4000*sqrt(7) + 224125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 58*a - 14 = 59*a, -a = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/2 (b) 1555\/22 (c) -7\/3 (d) 3\/5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-18)\/3 + 2. What is the remainder when (n\/1)\/(-2) + 56 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 17*s**2 - 21*s - 39. Give d(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:54 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(12\/(-9)) - -4. Let i = -5 + 12. What is the highest common factor of y and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609e4 (base 16) in base 2?\nAnswer: 101100000100111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 9:05 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266787 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -12\/13 (c) -4 (d) -0.13184 (e) 49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-57)\/11 - 4\/(-22). Let a = j + 133. Find the second derivative of -5*g - a - g**5 + 128 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1658.945 to the nearest ten.\nAnswer: -1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2 - 5*a**3 + 15*a**3 - 9*a**3 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from mmrmvrrpvmmv.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250907 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*b - 5*v, 0*b - v = -b. Let y = 13781 - 41342\/3. What is the second smallest value in 1\/4, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.09 (b) -2 (c) 2 (d) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g + 4*h = -33, -5*h = 3*g - 5. Suppose -12 = p + 5*f, -5*f + 3 = -4*p - 10*f. Solve -g*u + 0*u = -j + 28, 3*u + p*j = -6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-5)*a)\/a**(3\/5))\/(a\/(a*a*a**(1\/6)*a)*a**(3\/8))*((a\/a**(1\/6))\/((a**(1\/4)\/a)\/a))**(3\/8) assuming a is positive.\nAnswer: a**(-403\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 11*z**2 - 16*z - 18. Let q(d) = d**2 + 4*d + 9. Let x be q(-4). Let u be b(x). Let t(m) = -m**2 + m + 15. What is t(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/132081773 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*a + 5*s, -8*a = -5*a + 4*s - 9. Let c(m) = 4*m**2 + 5*m - 7. What is c(a)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -542*j**3 - 11*j**2 + 1608*j**3 + 3*j - 533*j**3 - 532*j**3 - 14. What is the least common multiple of a(12) and 16?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 2. Let j be c(2). Suppose m + 20 = 6*m. What is the second derivative of -2*i + i**m + i**4 - j*i**4 wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 549849404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154480?\nAnswer: 2, 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -414.8075 to the nearest integer.\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/22858 and -101\/16?\nAnswer: 182864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 48448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 6) to base 9\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/77 and -57\/12628.\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atat when four letters picked without replacement from {v: 2, t: 3, d: 2, a: 3, b: 1, r: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {u: 8, j: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 + 2027*d**3\/3 + 7525*d**2 + 23269*d\/3 + 902 = 0. What is d?\nAnswer: -123, -11, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 315 = -i. Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*i + 24*i - 5*i - 38*i to the form w*i + y and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:18 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20518694 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Suppose -2*c - v = -14. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuggg. Give prob of sequence guug.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16744 and 552?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*d + 27 = 0, 9368 = 3*q - 2*d + 9375 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**3 - 7*l. Let h(r) be the third derivative of -7*r**6\/120 + 5*r**4\/24 - 31*r**2. Calculate -7*h(c) - 5*x(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 41*r + 5.\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005929 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*p - 4 = 0, 4*x - 3*p - 18 + 7 = 0. Suppose i - 5*l = 15, -l = -5*i + 29 - x. Solve -2*t + 0*j = -j, 0 = t - i*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 11*p + 2. Let l be s(11). Suppose 5*u = 2*i + 3*u - 4, 4*i + 4*u - 32 = 0. Solve i*f - l = -d, -f + 3*d + 16 = -2*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**4 - 5*u**3 + 5*u**3 - 10*u**4 - 44*u**3 + 44*u**3 + (-4*u + u + u)*(0 - u**3 + 0).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkm when three letters picked without replacement from kmzljpz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -13*p - 4*g - 7, -2*p - 6 = 2*g. Let y(m) = -6*m - 12. Let v(t) = 5*t + 11. Let z(c) = 5*v(c) + 4*y(c). What is z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*w = 587*w + 60 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 523 + -549. Put -4, m, 0, -5 in decreasing order.\nAnswer: 0, -4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/8 - (-3)\/4. Put -5, t, 3 in increasing order.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*2195\/30*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4 + 6*s + 0*s - 1. What is the remainder when g(4) is divided by -2*(-1)\/((-10)\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 41*m**2 - 383*m - 95. Determine c(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -70 - (-10 + 42 + -106)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90799 is divided by 12914?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1958))\/(1424\/(-7832))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106484*w**4 - 928*w + 29 wrt w?\nAnswer: 1277808*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -0.4, 0.05, 2\/69?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, m: 8}. Give prob of picking 3 m.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, e: 18}. Give prob of sequence ekke.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25911 is divided by 99.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 7*v**3 - 366*v**2 + 4836*v - 1352 = 0?\nAnswer: 2\/7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:54 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276*c + 30 = -1282*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 17 = 3*b - 0, 4*w = -5*b + 11. Suppose -l - 5*x + 40 = 0, -75 = -w*l + 3*x + 131. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h - 3*j, 4*h + j - 19 + 6 = 0. Let k(v) = 4*v**2 + 2*v - 2. Does 7 divide k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 = -2*p + 2*r, -4*p + 3 = -5*r. What is the units digit of (p - -47)*(2 + (-1)\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97d (base 14) to base 5\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -74. Let f be m\/4*(-152)\/19. Suppose -f = -3*z + 80. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -23*j + 154. Give v(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1053 and 936?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 43. Let y(n) = 13*n + 14. Let b be y(-3). What is the units digit of q(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -52?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 2\/11 (c) -0.2 (d) 39.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + ((sqrt(304)*-1 - sqrt(304)) + sqrt(304))*-4 + -1 + sqrt(304) + sqrt(304) + -4 - (-4 + (3 + sqrt(19) + -3)*6))**2.\nAnswer: -44*sqrt(19) + 9197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/35 + (-176)\/520)*(-2)\/(-6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/484 and 9\/484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 92, 281, 650, 1259, 2168, 3437, 5126?\nAnswer: 7295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*l - 10. Suppose l*p + 3*p = 60. What is the remainder when 6\/10 - 2951\/(-65) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.2034 and -5?\nAnswer: -126.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -3*u + 5*v - 340, 2*u - 24 = 5*v. Solve -5*j = -15, d = -7*j + u*j + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:46 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 - -9 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*y**5 - 1953*y**4 - 4023*y - 113 wrt y?\nAnswer: -2260*y**3 - 23436*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1116715, -1116701, -1116685, -1116667, -1116647, -1116625?\nAnswer: -1116601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18901.\nAnswer: 41, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 102, 231, 422, 681?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -2\/11, 21, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose 0 = -2*b - o*b. Suppose b*a = 3*a. Solve a = -x + 3*x + 5*u + 23, 4*x - 3*u = -7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78792 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11049 divided by -5\nAnswer: 11049\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 + 5*d**2 + 6*d. Let o(f) = -5*f**3 + 14*f**2 + 17*f. Let z(r) = -8*j(r) + 3*o(r). Calculate z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 149989685\nAnswer: -149989683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 65*n**2 - 2720*n - 420 = 0.\nAnswer: -2\/13, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1 (b) -2\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 93*w - 63. Determine o(31).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153\/(-714)*(-6)\/(-3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbibiiibibyii. What is prob of picking 1 b and 1 y?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*k**3 - 25*k**3 - 22*k**3)*(-1 + 66*k + 36*k - 33*k).\nAnswer: -5175*k**4 + 75*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/13 + 5572*r**2\/13 + 3875320*r\/13 - 7772944\/13 = 0.\nAnswer: -1394, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 - 73*m**4 + 286*m + 16*m**4 - 67*m**4 wrt m?\nAnswer: -1476*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -213, -0.1606?\nAnswer: -0.1606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 12) + -29 - -27?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 810\/3 + 6 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 531 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1100513 divided by 350\nAnswer: -1100513\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2158 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 29736261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = 5*w + 1, 4 = -4*w + 4*y. Which is the second biggest value? (a) w (b) -3\/4 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 27 = 2*w, 0 = 2*z - 0*z - w - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/z*z*z)**29*z**(6\/13)\/((z\/(z\/(z**(-2\/5)\/z)))\/z))**(-9) assuming z is positive.\nAnswer: z**(-103464\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330074912 divided by 4.\nAnswer: 82518728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 447, 1522, 3631, 7122, 12343, 19642, 29367?\nAnswer: 41866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2bb74a (base 13) to base 15\nAnswer: 165999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1201, 1207, 1231, 1279, 1357, 1471, 1627?\n\"Answer: x**3 + 3*x**2 - 10*x + 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**3 - 10*q**2 + 5*q + 9. Let u(h) = 6*h + 78. Let g be u(-12). What is the hundreds digit of c(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from sonbodo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13985, -13990, -14017, -14078, -14185?\nAnswer: -14350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -98, -100, -102, -104, -106?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.25921cm in kilometers?\nAnswer: 0.0000225921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 3*i**4 + i**3 + 35*i**2\/2 + 205*i. What are the prime factors of h(-5)?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346 + -43. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510*w + 3*j = -508*w - 15471, 2*w - 4*j - 15476 = 0. Does 84 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 2*s**2 - 4*s + 2. Suppose -5*t = -25, 5*x = 7*x - t + 3. Let o be v(x). Solve 4*i - 3 = -o*u + 3*u, 3*u + 9 = 4*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(117) + sqrt(117) + 4) - (-2*sqrt(117) + 4).\nAnswer: -30*sqrt(13) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from jdjjbbdbbdjddbu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*d - 48 = 0, -12 = -5*x + d + 81. Let p be (1*-1)\/(6\/(-5*x)). Solve 0 + p = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*q - 0*q - 25, 0 = -4*d + 4. Is (2*1)\/(q\/126) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*s**3 + 2*b*s**2 + b*s - 41325*b + 5846310*s**3 - 18*s**2 wrt s.\nAnswer: 12*b + 35077860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 56264.76ug?\nAnswer: 0.00005626476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21221 - q - 78*q**2 - 21228 + 42450)*(6*q**3 + 0*q + 0*q).\nAnswer: -468*q**5 - 6*q**4 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -20*w - n - 11128, 0 = 3*w + 3*n - 11112. What are the prime factors of w?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505.8749037 - -0.2?\nAnswer: -505.6749037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -23d0c1?\nAnswer: 23d0c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13616*q**3 - 467*q - 2.\nAnswer: -81696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**3\/3 + 5*b**2 + 11*b + 4. Let p be q(-9). What is the derivative of 2*i - 2 - 4*i + p*i + 6*i**4 wrt i?\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20284 and 3227.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/2046 and -61\/651.\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2, 0.3, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = 5*l, 3*l - 1 = 2*q - 6. Let u be (-1)\/(-1)*(7 + -5). Sort u, q, 3.\nAnswer: q, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 422618, 422619, 422620, 422621, 422622, 422623?\n\"Answer: l + 422617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 4\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1)*88\/(-44)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31377116?\nAnswer: 2, 563, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2475087 and 158405568?\nAnswer: 158405568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 70.84405 hours?\nAnswer: 255038580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + 32 - 14) + -21.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*t**3 - 146*t**2 - 4130741 wrt t.\nAnswer: -141*t**2 - 292*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1266734562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3654 + -3632. What is the least common multiple of 134 and y?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*x**2 + 10*x**2 + 7*x**2.\nAnswer: 220*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 30. Let y = 11 - p. Let c(v) = 14*v**2 + 668*v - 34. Let s(g) = 3*g**2 + 141*g - 7. Let t(h) = 4*c(h) - 19*s(h). Give t(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 1:01 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(1 + (-20)\/18). Let a(v) = 62*v - 3. Let i be a(h). Suppose 0 = 3*l - 6*l + i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8339982, 33359921, 75059820, 133439679, 208499498, 300239277?\n\"Answer: 8339980*i**2 - i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -204 + 164. Let b be ((-22)\/(-5))\/((l\/25)\/(-8)). What is the greatest common factor of b and 396?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:33 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1170\/(-4914)*36\/(-10)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + 11 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n. Let m(g) = 7*g. Let r(w) = -6*j(w) + 13*m(w). Let k(l) be the third derivative of 0 + 0*l**3 + 1\/4*l**4 + 0*l - 36*l**2. What is k(r(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*c = 86*c + 6. Let k be -1*(-5 - (-14)\/c). Calculate the highest common divisor of 96 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 4. Let j be y(0). Suppose 0*p - j*p = 0. Suppose 4*n - 8 - 12 = p. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + (-9 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b + 9*b + 0*b + (0*b + 5*b - b)*(-1 - 18 + 7).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**5*l + 50611*h**3*l + 2*h**2*l + 9*h**2 - 48*h*l + h - 6 wrt h?\nAnswer: 180*h**2*l + 303666*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - 1 - (8 - 15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.4 + -10.4. Let t = 0.1 + -0.1. Put y, 1, 2, t in decreasing order.\nAnswer: 2, 1, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/4 - 2*g**2. Let d = 107 + -105. Let l(a) = a**2 - a**d + 4*a**2 - 6*a**2. Calculate j(l(y)).\nAnswer: 60*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413 = 100*n - 28 + 715 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, t: 6, z: 1}. Give prob of picking 3 o.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) + sqrt(112) + 0)) + 2 + sqrt(112) + -5 + sqrt(112)*-1 + sqrt(112))**2 + 5 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 54. Let u(i) be the third derivative of i**5\/60 - i**4\/12 - 7*i**3\/6 + 3*i**2. What is the units digit of u(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:29 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.52 + 3.43. Let k = q + -0.35. What is k rounded to one decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/13 (b) -0.4 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 - 3*j - 4. Let n = -17 - -21. Let u be y(n). What is the greatest common divisor of u and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20680 and -43.\nAnswer: -20723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/14 + (-2780)\/(-70) + -6.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxeaxeaxa. What is prob of sequence axax?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 443 = -j - 139, 5*o - 850 = 5*j. Let v = -6 - -163. Which is greater: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, n: 1}. What is prob of sequence ddn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6227874 divided by 2075958.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4006\/13 + -308. Let h(w) = 109*w + 650. Let l be h(-6). What is the nearest to l in 4, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - t = -4*t + 24704, 0 = 5*t. Let p = 1427 - o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080 greater than 2080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 18*w**2 - 16*w - 44. Let o be h(19). Let g = 18 + -28. Let u = o + g. Calculate the smallest common multiple of u and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 7*k - 5. Let j be z(5). Suppose 0 = 5*u - 15, -3*l = -l + j*u - 23. Suppose -5*t = -4*m - 10 - 19, -5*t = l*m - 21. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -15*d - 1. Let v be q(1). Let a = v - -23. Let h = a - 6. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.72 + -0.28. Which is the second biggest value? (a) q (b) 1\/8 (c) 6\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209063, 208860, 208661, 208466, 208275, 208088?\nAnswer: 207905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 - x)*(1 - 5 + 0).\nAnswer: 4*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -8258 <= -8260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3070*s**2 + 2080*s + 163*s**2 - 1040*s - 1040*s.\nAnswer: 3233*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478605 is divided by 312.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(2\/10)\/((-4)\/10) + (-3074185)\/(-624200).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*i**2*t - 12*i*t - t wrt i?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26029124 = -29*b - 290*b. What are the prime factors of b?\nAnswer: 2, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfv when three letters picked without replacement from {v: 1, a: 1, z: 1, p: 1, m: 2, f: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 106, 237, 424, 661?\n\"Answer: -c**3 + 37*c**2 - 35*c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -28. Let a = -58 - -34. Let y = 56 + a. What is the remainder when y is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 37173.\nAnswer: 37170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -140078046 + -0.03\nAnswer: -140078046.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 735396*r**3*s + 3*r**3 + 2*r - 70*s - 167010 wrt s.\nAnswer: 735396*r**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85649 is divided by 2117?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.47 + -0.07. Let b = -0.87 - -0.57. What is the fourth biggest value in 1, 5, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3826, -3862, -3922, -4006, -4114, -4246?\nAnswer: -4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19420436, -38840874, -58261314, -77681756?\n\"Answer: -z**2 - 19420435*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 1314757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -8. Let c(o) = -o**2 + 6*o + 1. Let k be c(6). Sort j, -5, k.\nAnswer: -5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n. Let r(m) = 63*m**3 - 14*m**2 + 112*m. Let c(q) = 21*q**3 - 5*q**2 + 38*q. Let a(p) = -14*c(p) + 5*r(p). Determine -3*a(h) + 84*d(h).\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 1\/2, 195, 2, -2 in descending order.\nAnswer: 195, 2, 1\/2, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 10*q**2 + 696*q + 178. What is g(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*(9 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*q**2 - 884*q**6 - 35*q**4 + 41*q**2 + 886*q**6 wrt q?\nAnswer: 240*q**3 - 840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d + 4. Let p(q) = 2*q - 4. Let n be p(6). What is the highest common factor of n and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 343.62 to the nearest integer.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 113 = -5*k. Suppose -2*j - j - 12 = 0. Put k, j, 3 in ascending order.\nAnswer: j, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-35)*(-11)\/363*-77.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 - -117. Suppose 5*t = 3*v + 9, 2*v + z = 3*t - 1. Solve -2*w = -4*k + 2, v = k - 3*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -39, -95, -207, -393, -671?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1767245*n**4 - 48449*n**2 - 3 wrt n.\nAnswer: -42413880*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 149*x**5\/5 - 153*x + 56. Find the first derivative of g(f) wrt f.\nAnswer: 596*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 + 83 + 55*t to the form b + l*t and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4361 and 3326464?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000312277 to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-54)\/4))\/((-337)\/1011)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10510684 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + sqrt(128)*-1*5 - (5*(0 + sqrt(32)))**2.\nAnswer: -800 - 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + ((sqrt(33)*-2 - sqrt(33))*-2)\/((sqrt(132)*1)\/sqrt(12)))*-6 + -5.\nAnswer: -36*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/6 (b) -5252 (c) 3 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2185*-335.8.\nAnswer: -733723","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q - 5. Let k = 5 + q. What is d in k + 1\/2*d**2 - 1\/2*d**5 + 1\/2*d**3 + 0*d - 1\/2*d**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 83 in 0.08, 0.07, 645?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 52727*z**4 + 0 + 3 - 23*z**3 - 52672*z**4 in the form s + l*z + g*z**3 + o*z**2 + k*z**4 and give k.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374284 divided by 6?\nAnswer: 1687142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**6\/2 + 9*c**2\/2 - 6. What is the second derivative of l(v) wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1392 and 218544?\nAnswer: 218544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 789615810 and 33.\nAnswer: 8685773910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -16*n + 1. Let q(i) = i + 1. Calculate -2*q(c) - x(c).\nAnswer: 14*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6178 - 5720. Calculate the remainder when a is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1910.9 - -1818.89. Let h = 92 + z. Let q = -3.99 + h. Which is smaller: -0.03 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8 - 1\/(-2). Let p be k\/1 + (-11 - -13). Let x be p - 6*(-3)\/6. Solve 0 = -0*a + x*a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 + 5432*k**2 + 452067*k + 446634 = 0. What is k?\nAnswer: -81, -1, 5514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-5 + sqrt(12)\/sqrt(4) + -5)*6 + 5.\nAnswer: -114*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000028025965 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiy when three letters picked without replacement from {k: 4, i: 7, y: 2}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 5*z**2 - 6*z + 2. Let s be w(-6). Suppose -s*q - v - 495 = -6*q, -q + 125 = v. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331\/32 or -10?\nAnswer: -331\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23003997*a**2 - 14198728*a.\nAnswer: 46007994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/60)\/((-9)\/(-15))*-3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 68*p**2 + 243*p + 41495. What is q(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*y = 400, 8*y + 60 = j + 5*y. What is the greatest common divisor of j and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432959128 and 1252?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -86468 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/259?\nAnswer: 6\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 545*y**4 - 551*y**4 + 59 + 23*y + 1650*y**4 - 553*y**4 to o + f*y + s*y**2 + q*y**3 + l*y**4 and give o.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 653 = -1171. What is the greatest common divisor of d and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56222, 112447, 168672, 224897?\nAnswer: 281122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001101001 (base 2) to base 16.\nAnswer: -1069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -658 + 326 - 100*b + 332. Let m(g) = 2*g**2. What is m(a(n))?\nAnswer: 20000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/1159 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169875 and 107361?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110809 = 121*s - 111898 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**7\/14 + v**4\/3 - v**3 - v**2 - 6*v + 3. Find the second derivative of l(r) wrt r.\nAnswer: 60*r**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380490759 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3794865?\nAnswer: 3, 5, 31, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.463? (a) -0.04 (b) 0.2 (c) -46 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 8:35 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 225026344 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 1. Let a(t) = -1000*t - 3. Determine -a(b) - y(b).\nAnswer: 997*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.39 - -0.01. Let o = 2.4 - k. Which is the second smallest value? (a) -6 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*b - 2*h + 6, 4*h - 14 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(252) - (-1 + sqrt(252))) - sqrt(252))**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.01 - -37.0795. What is z rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1939*2.325.\nAnswer: 4508.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 467 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2453.\nAnswer: 22077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 9*p**2 + 9*p + 4. Let s be l(-8). What is the remainder when (12\/10)\/(6\/160) is divided by s + (0 - -2) + 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-45) + 41\/5. Suppose 4*w - m = 2*w. Differentiate -3*v**3 + v**4 - w + 3*v**3 with respect to v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -567.2 * -1558\nAnswer: 883697.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*252*(-93)\/(-15624)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/5 - 98*n**3\/5 - 534*n**2\/5 - 774*n\/5.\nAnswer: -2*n*(n + 3)**2*(n + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5770*k - 5774*k + 95 = 0, -13*j + 4*k + 175 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 11. Let u be v(-2). Let k(s) = s**2 + 2*s + 4. Calculate k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3497 and 540982403?\nAnswer: 3497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 3, f: 3}. Give prob of picking 1 u and 1 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14291 + -285699\/20. Let h = 1\/7101 - -20509\/35505. What is the common denominator of h and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11147 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -24016*z - 144295. What is r(-6)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 3. Suppose -2*s + 4*w = 16 + 6, 4*s - 5*w = -n. Let k = 766 + -766.2. What is the closest to k in -4, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 505 = -p. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 43?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 9) to base 5.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 - 2*y + 1. Suppose -4*h - h + 3 = g, 0 = -4*h. Suppose -2*p - g = 1. What is v(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 + -44 - (6 - 1)) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 3*k + 16. Let j be f(0). Let z(y) = 15 - 34 + y**3 + j. Determine z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716922 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217868*n**2 - 4*n + 4*n - 217861*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/6 - 3*h**3 + 97*h**2\/6 - 30*h + 50\/3 = 0 for h.\nAnswer: 1, 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870 at most 14348\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/7742376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**4\/12 + 5*k**3\/3 + 20*k**2. Let x be q(-5). Find o such that 4\/3*o + 1\/3*o**4 + 0 + x*o**2 - o**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 928 and 1216?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3923, -3900, -3853, -3776, -3663, -3508?\nAnswer: -3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 + 17200*s**4 - 137440*s**3 + 412160*s**2 - 549440*s + 274688.\nAnswer: -4*(s - 4292)*(s - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13570.8 (b) 3 (c) 0 (d) -0.3 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87 and -562063.\nAnswer: -48899481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 2799709 = -839905. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1 (c) -1\/2 (d) 0.157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyssyyaysaa. What is prob of sequence yys?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -27.8322.\nAnswer: 13.9161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + -4 + (-51 - -78).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130587 and 1102.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - 102?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*c + 8, -3*h = 4*c + 1 + 1. Suppose h*i + 2 = i, 3*t - 3*i = 684. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*d + 108*d - 93942000. What is d rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuunnntnuutybtbuugu. Give prob of picking 1 n and 1 g.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -8. Let c = p - -5. What is the second smallest value in -2\/5, c, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/5)*j\/j**(3\/4))\/(j\/(j\/j**5)*j\/(j\/(j\/j**(-8)))))\/(((j\/((j*j\/(j*j**0))\/j))\/j)**(-12)\/(j**1)**(2\/55)) assuming j is positive.\nAnswer: j**(-3149\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57571815, -57571818, -57571821, -57571824, -57571827, -57571830?\nAnswer: -57571833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*i + 9 = -i, 0 = 5*i + 15. Suppose 3*k - 9 = 15. Is 98\/v + k\/16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/9)\/((-3)\/(-18)). What is the highest common divisor of g and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(272)*-2 + sqrt(272) + sqrt(17))*6)**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-587)\/(-15) + (-2)\/15 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 4. Suppose -7 = g + l*h + 2, 8 = 4*g + h. Calculate the remainder when 10 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 12. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 420, 460, 448, 372, 220?\n\"Answer: -2*y**3 - 14*y**2 + 96*y + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/10 + 9558\/9735. Sort -6, 1, 5, i.\nAnswer: -6, i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 + 2 = 0. Let u(d) = -d - 1. Let i(x) = -2*x - 5. Let r(v) = i(v) - 5*u(v). What is r(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*i + 63 = -55, 3*l = -2*i + 145. Calculate the greatest common factor of l and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10484\/19 and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 47 = 13. Suppose -r = -4*n + 3*r + c, 3*n - r - 19 = 0. Let v be (-6)\/n*-2 - (-72)\/16. What is the second smallest value in v, -3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x**3 - x + x - 176263*x**4 + 176264*x**4 - 60*x**2 = 0.\nAnswer: -4, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3081555 - -197.06956.\nAnswer: -3081357.93044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) - (sqrt(100) - (sqrt(100) - (sqrt(100) - -3*sqrt(100)) - sqrt(100)))\/sqrt(10)) + -1 + (sqrt(20)\/sqrt(4) + -3)**2.\nAnswer: -25*sqrt(5)\/4 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, e: 3, w: 4}. What is prob of picking 1 i and 3 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.01 and 7230?\nAnswer: 7302.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*-1*2\/(-3) + 4. Solve -z + v*z + 3*r + 4 = 0, -4*z = 4*r - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*d**2 + 42 - 42)*(-1 + 3 - 4).\nAnswer: 148*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -26. Suppose -2*p = -a, -4*o - 4*p = -6*o + 98. What is the units digit of o\/9 + (-1)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2659*f**4 - 4488*f**3 + 3*f**2 - f + 380340?\nAnswer: -63816*f - 26928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 f when four letters picked without replacement from qkqfqfq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 36\/30*5. Put -4, 2, 5, t in decreasing order.\nAnswer: 5, t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - q = -91 - 230, 67 = h + 3*q. Solve 14*w + h + 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:38 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -14*u + 240. Suppose -12*c + u + 16 = 0. Let w(n) = 5*n**3 + n**2 - n - 1. Let h be w(-1). Sort h, c, 0.\nAnswer: h, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 + 4 + (-3 - 3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2244 = 44*b - 10*b + 17*b. Calculate the greatest common divisor of b and 2662.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Suppose 0 = -2*f - 2*l + 10, -5*l + 6 = -2*l. What is the smallest common multiple of r\/(-2 + 22\/8) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4 + 327*u**3 + 1166*u**2 + 501*u = 0.\nAnswer: -3, -1\/2, 0, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 94*x**2 - 763*x + 73. Calculate r(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*z = 71*z - 168. Suppose -22 = t - 3*j - 82, z = 2*t + 3*j. Suppose 2*p = -p + 72. Calculate the highest common divisor of t and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1078 and -57\/868868.\nAnswer: 868868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c - 10 + 50 + 8 + 87*c**3 wrt c?\nAnswer: 522*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255632 (base 11) to base 2.\nAnswer: -1100010010100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 422434641 and 807?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c - 9. Let z be o(0). Let b be 1\/((3 + -6)\/z). Sort -1, b, 1, -3.\nAnswer: -3, -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x - 9*x + 25*x)*(334 + 524 + x - 294).\nAnswer: 30*x**2 + 16920*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*c - 108. Let m = -22 + c. Calculate the remainder when 17 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 - -409\/2. What is the nearest to -2 in c, 3\/2, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 16*s**3 + 34*s**3.\nAnswer: 50*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2, -5, -25 in ascending order.\nAnswer: -25, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 8 + 9)*(-4*l**3 + 4*l**3 + 3*l**3).\nAnswer: 117*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -40. Let i = 160\/371 - 213\/371. What is the nearest to -0.1 in s, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:35 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/52510050 and 145\/2100402.\nAnswer: 52510050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) -1 (c) 2\/5 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 14 + 95 = 3*y, 5*t = -10. Let m = y - 11. Suppose -5*b - 21 = -131. What is the smallest common multiple of b and m?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 21*i + 6. Let h(o) = o**3 - 30*o**2 - o + 46. Let p be h(30). What is the remainder when 191 is divided by m(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, o: 10}. What is prob of sequence oc?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 13) in base 15?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/8)\/((-16)\/(-128)). Suppose 2*o + 2*t - 42 = -b*o, -5*o - t + 45 = 0. Calculate the highest common factor of 56 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60541193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-5 - -155)\/15 + -38)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -88 + -1 - (5 + (0 - 9)). Let w be 68\/z*10\/(-4). Solve w = -4*d - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = 5*h + 15, 4*h + 12 = k. Let z be (-2 - -4) + k + 0. Solve -4*r - 5*n - 7 + 40 = 0, z*n = -4*r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 405541026?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4545*j + 1510*j + 1514*j + 1515*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - v + (-3 + 1 + 1)*(2*v + 0*v - 3*v)*(-4 + 3 + 4) to the form g + d*v and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.24011 * -0.05\nAnswer: -0.0620055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzxx. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejceccejecejccj. Give prob of sequence cjjc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - 8) + 6 - -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6380, -6383, -6386, -6389, -6392?\nAnswer: -6395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j - 118 - 170 = 0. What is the remainder when 14 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31326, -61834, -92344, -122856, -153370?\nAnswer: -183886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 22*n + 155. Determine z(20).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/50*(-8)\/6*1410\/(-188).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 2. Let z(g) = 8*g - 22. Determine 10*d(c) - z(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9887\/25720 or -1?\nAnswer: -9887\/25720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-40)\/22) + (-1104)\/(-506). Solve -20 = w*n - 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - 2*sqrt(133)) + sqrt(133))*-3 - sqrt(133))\/(2*sqrt(252) - sqrt(252)) + 4.\nAnswer: -sqrt(19)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1108*d = -1106*d + 6, 2*h - 13 = 5*d. Sort -2, h, 35, 3 in decreasing order.\nAnswer: 35, 3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*s + 32, 5*h + 32 + 17 = 3*s. Suppose 2*w + s - 128 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + v + 4 = 0, 5*u + 5*v - v = -19. Let l be -1 + -2*u\/2. Sort l, 1, 5.\nAnswer: 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4226.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -18*s**2 - 4*s - 4. Let b(u) = -3*u**3 + u. Let z be b(1). Let r be i(z). Let l be (-4 - -2) + (-128)\/r. Put 0.4, 4\/9, l in ascending order.\nAnswer: l, 0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmx when three letters picked without replacement from {m: 2, h: 1, x: 4, i: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.681624 years to decades.\nAnswer: 0.0681624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243757559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25121024687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.3 + -7. Let f = -1.2 - -0.2. Let r = 162 + -161. Which is the nearest to r? (a) j (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/4 + (-197)\/36 and (-3 - (-81)\/28)\/(9\/282)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 51 = -7*i, 3*k + 55*i + 54 = 58*i for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*y - 4*y = -882 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32924963891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 850073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -17*b**2 - 229*b + 147. Give p(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1244*s + 52247. Let r be l(42). Let g be (-3)\/231 - 4\/(-14). Sort g, 1.4, r in descending order.\nAnswer: 1.4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b. Suppose -4*g = -b*g. Factor -2\/3*s**4 - 2\/3 + g*s + 0*s**3 + 4\/3*s**2.\nAnswer: -2*(s - 1)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 43*u**3 - 7565 - 3*u**4 + 7565 to the form p*u**3 + k*u + i*u**4 + v + d*u**2 and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(13600\/(-60)))\/(2\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219 + -223.16. Let q = -0.4 + 4.4. Let t = q + i. What is t rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1611 * 3\nAnswer: 4833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n - 1. Let z(a) = -32*a + 58*a - 2 - 27*a + 1. Give g(c) - 3*z(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -263, -448, -633, -818, -1003?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 46251*b + 46247*b = -18, 23 = -5*g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-10) - (-9)\/(-10)*-12. What is the first derivative of 2*z + k*z - 24 + 83 - 9*z wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15483 = -874*f + 8198 + 791 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 21. Let z be ((-9)\/(-6) - 1)*6. Suppose -z*r = -9*r + 30. Let t be q(r). Solve 11 = -3*i - 5*x, -t*x + 13 = 3*i - 5*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 6796.9\nAnswer: -2039.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 5)*(2*c**2 - 5 + 5) + 4*c**2 - 3*c**2 + 6*c**2)*(1 - 1 - c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u - 8 = 0. Suppose -119 = -m - 4*i - 0*i, u = -2*i. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -47. Suppose -h = 5*c - 11*c. Solve 2*j + c*j + 5*f - 20 = 0, 0 = 4*j - 2*f - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062508793.\nAnswer: 7, 580358399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39689*h**5 - 40*h**4 - 90316559*h?\nAnswer: -793780*h**3 - 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 3:49 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 4. Let n = 7 + -2. Let u(s) = -22*s + 13*s + 9*s - 1 - 2 + 2*s. Determine n*u(c) + 4*l(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 90876*q**2 - 39628540*q.\nAnswer: q*(q - 434)*(q + 91310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/120 + 7*o**5\/60 + 5*o**4\/24 - o**3\/3 - 3*o**2. Let r be g(-6). Solve r*l + 8 = -12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 - 8*o + 117.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*g - 12, -d + 4 = -g + 1. What is the third derivative of 92*y**2 + y**d - 356*y + 356*y wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -306 - 53?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 0. Let x = -21 + 9. Let o = j - x. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 30 - 2*p + 25 + p - 23. List the prime factors of l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54449332 to the nearest integer?\nAnswer: 7379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)*f)**(-32)\/(f**(3\/4)*f\/((f\/(f\/((f\/f**(3\/5))\/f)*f))\/f)) assuming f is positive.\nAnswer: f**(-3809\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5503*f + 5535*f - 862112. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/7*56\/16. Let v = 6 - y. Suppose 4*h = h + 6. Solve v = h*j - 5*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16964850 to the nearest integer?\nAnswer: 4119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1792*s**3 + 1356*s**2 - 555*s**3 - 1356*s**2 + 1211 wrt s.\nAnswer: 3711*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -862 + 18886*h - 236*h**2 - 9443*h - 9446*h wrt h.\nAnswer: -472*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5597 = -3*t, 4*p - 6970 = -p + 5*t. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -33*m - 16. Let s(c) = -16*c - 8. Let f(d) = 13*s(d) - 6*w(d). Find the first derivative of f(l) wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -37.1. Let n = 4.9 - u. Let m = -49 - -62. Sort m, n, 0.4, 1\/9 in descending order.\nAnswer: m, n, 0.4, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Is z + -5 + (575 - -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 2*i - 2, -109 = 10*f + 17*i + 56 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(448\/160)\/((-4)\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5410842*g - 4838543.\nAnswer: -5410842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.06. Let l = 0.24 + s. What is the third biggest value in l, 0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 4, 0.063?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -306\/5, 0.4, -1.1, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.11 + 0.11. Which is greater: 50 or v?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1155\nAnswer: -577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 49\/((-21)\/3) + 22. Sort 6, n, 5 in descending order.\nAnswer: n, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1763.241 - -2?\nAnswer: -1761.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:01 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/9802 and 6\/833.\nAnswer: 8165066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 4*k - 4*k - 2532929.\nAnswer: -3*k - 2532929","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 - 3 + 6873*p.\nAnswer: 6873*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 + 288*r**3 + 878*r**2 + 588*r = 0. What is r?\nAnswer: -2, -1, 0, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 0.02, -2, 0.03, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)\/((j\/j**(2\/63))\/j*j))**(-6) assuming j is positive.\nAnswer: j**(1508\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857324 is divided by 1691.\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let z(s) = -6*s - 8. Calculate -3*x(b) - z(b).\nAnswer: 3*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8.7723 * -7\nAnswer: 61.4061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -121. Suppose -w = 5*s - 10*s. Suppose -159 = -4*h - 3*j, -j - 4*j - 190 = -5*h. Calculate the greatest common factor of h and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - 1*sqrt(156))*5)\/(-1*sqrt(60)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let c(h) = -20*h + 14. Let b(p) = 13*p**2 + 7*p - 6. Let k be b(1). Let f(n) = 3 + 2*n - 9*n + 2. Let q(x) = k*f(x) - 5*c(x). What is q(t(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 385, 859, 1521, 2371, 3409, 4635?\nAnswer: 6049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-4)\/(-72)). Let y = t - 6. Solve 3*r = -y*c - 6, 0*c = r - c + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 668 and 3312278?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 2*b + 2. Suppose 1 = -4*y + 2*p - 3, -5*p = -y + 8. Let h be t(y). Let k(w) = -w**2 + 4*w + 3. Calculate k(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73916, 3, 0.01, -0.2, -9 in decreasing order.\nAnswer: 3, 0.01, -0.2, -9, -73916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-4)\/(((-286)\/65)\/(-11)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24303709 and -4.\nAnswer: 24303705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 12 - (17 + -11 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 371 * -0.09.\nAnswer: -33.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlx when three letters picked without replacement from {w: 4, l: 3, x: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**9\/72 - 17*x**5\/6 + 136*x**2. What is the third derivative of k(w) wrt w?\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c + 0*c**2 + 0*c**2 + 6 - c**2. Let s be r(6). Suppose 0 - 1\/2*y**3 + s*y + 1\/2*y**2 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/2236 + 30743\/4472. Let h be (-4)\/(-14) + (-534)\/1281. Let i = h + -2729\/122. Find the common denominator of x and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 6823567 and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-18)\/(-2)))\/((-40)\/48).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174 + -60. What is the tens digit of p\/(-4)*8\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.213 - 24.787. Let j = z - -21. What is the fourth biggest value in 1, 0.2, 30, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*k = 0, -2*z + 0*k = 3*k. Suppose -u - 22 + 34 = z. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.53 - -0.56. Let t = -0.03 + b. What is the biggest value in 1\/4, t, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6867 + 6923.94. Let q = 58 - p. Round q to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 441958*t**5 - 119864*t + 1.\nAnswer: 8839160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4*d**3 - 12)*(-2144 - 2*d - 654 + 4552 + d).\nAnswer: 4*d**4 - 7016*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.705221 litres?\nAnswer: 4705.221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 23*v + 1061 - 1061.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*v - 3*k + 36, -v = 4*k + 48. Let a = 36 + v. Let h = 159 - 71. Calculate the highest common divisor of a and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h**2. Let u(i) = 36*i. What is u(d(g))?\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u**5\/7 - 26052*u**4\/7 - 36504*u**3\/7 - 10432*u**2\/7 = 0 for u.\nAnswer: -1, -2\/5, 0, 1304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n - 1. Let w(f) = 6*f**3 - 4*f**2 + 4*f + 9. Let l(m) = -5*v(m) - w(m). Calculate l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 3*l**2 - 16*l**3 + 40*l**3 + 6*l**2.\nAnswer: 24*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 10 = -w. Suppose -40 = -w*g - 3*g. Let k(s) = s**2 - 6*s - 16. Let p be k(g). Solve p*t = -3*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421345 is divided by 7522.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**7\/735 - i**6\/70 + i**5\/210 + i**4\/14 + 121*i**2. Factor o(v).\nAnswer: -2*v*(v - 1)*(v + 1)*(v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*t + t - 30, -h - 7 = 3*t. Let k(m) = 262*m - 124. Let l be k(1). Let x = h + l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*6\/(-60)*6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9)*t)\/((t*t\/(t*t**(-1\/2)*t))\/t*t))**(1\/14) assuming t is positive.\nAnswer: t**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -56, -67, -78?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -329*o. Let f(t) = 110*t. Give -17*f(b) - 6*i(b).\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -33. Let x = 15 - n. Which is the nearest to 0? (a) -3\/4 (b) x (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76\/31 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/(-35) - 4\/(-10). Suppose -2 = 4*y - 6*y. What is the biggest value in y, t, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 216495 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -443.71 and -85?\nAnswer: 358.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9753 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 0*b - 4*n - 5, 2*b = -n - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/5 - -2) + 2\/(-5). What are the prime factors of (552\/s)\/(3\/15)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*b**3 + 4*b + 14\/3*b**2 - 2\/9*b**5 - 10\/9*b**4 + 0 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139875.965446 - -137834.9672. Let m = 2041 + f. What is m rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4290033*t**4 + 2*t**2 + 3744366*t?\nAnswer: -102960792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -4*i**5\/5 + 4*i**4 - 4*i**3 - 108. Solve n(b) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + t**2 - 3*t - 2. Suppose 3*g = 1 - 7. Let c be o(g). Let z(s) = -2 + 59*s + c - 62*s. Calculate z(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 1 - sqrt(2) - sqrt(2)) + (-1 + sqrt(2))*-5 - 4*(sqrt(200)*-3 + 0))**2.\nAnswer: 1464*sqrt(2) + 29804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = 4*w. Let x = -52792 + 52801. Calculate the greatest common divisor of x and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 361.89 and -0.11?\nAnswer: -39.8079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 708 - 716 - (-10 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20910, 9, -2, -5 in ascending order.\nAnswer: -5, -2, 9, 20910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 99\/36 - 1\/(-4). Suppose 0 = -t*s + 11 - 2. Solve -m - 15 = s*x + x, 2*x = -5*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.169 + -0.159. Which is the closest to 0? (a) 0.4 (b) s (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 360852890 to the nearest one hundred thousand.\nAnswer: 360900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 27*y**2 + 2*y + 48. What is q(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -153? (a) 3 (b) 2 (c) -2112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -88, -204, -356, -538, -744, -968?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + y = 8, -5*z - 11 = -2*y + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -75, 0, -1.\nAnswer: -75, -6, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/5, 4, -0.12, -2, -111.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -43*g**2 - 3*g + 2. Let f(q) = 32*q**2 + 4*q - 3. Let u(o) = -2*f(o) - 3*l(o). Determine u(1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 20 = 3*k, -k - 2*k + 16 = 5*s. Solve -9*q - 16 = -k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141\/329 - (24\/156 + (-6627)\/(-273))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. What are the prime factors of (4\/(-6))\/(k\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*o = 1383, -o - 553 = -2*j - 2*o. Suppose -5*f - j = -3*r + 75, -3*r - 2*f + 359 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 170, 261, 340, 401, 438, 445, 416?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 8*i + 0*i)*(i - 2 + 2 + (2 + 3 - 6)*(3*i + 0*i - 5*i) + i - 3*i + i + 1195*i + 134315 - 134315) to z*i + s*i**2 + d and give s.\nAnswer: 8379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 53*i + 273. Calculate q(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552499 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 6*w**2 + 6*w - 1. Let o(v) = -v**3 + 18*v**2 - 32*v - 21. Let j be o(16). Let t be 142\/(-5) + (-2)\/(-5). Let k = t - j. Give h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*f + 7*f**2 + 140*f + 137*f.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**32)**(-18\/7)\/(r**(-2\/13)\/r**(-33)) assuming r is positive.\nAnswer: r**(-10477\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11484 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 326953 * -0.048\nAnswer: -15693.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13797701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*(3 - 13). Solve 5*y = -g - 5 + 23, -f*y = -5*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2893827*t**4 + 774892*t?\nAnswer: 34725924*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8296696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(18\/(-8) - -1). Let r(o) = -o**3 + 12*o**2 + 9*o + 16. Let q be r(13). Let d be (-2)\/(-8)*q\/(-15). Put t, d, 1\/3 in descending order.\nAnswer: d, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1\/j)**(2\/135)*j**(4\/7)\/j*j**(3\/8)*j*j)\/((j\/(j\/(j**(-2\/9)*j)))**(1\/11))**(-40\/3) assuming j is positive.\nAnswer: j**(26833\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 10:04 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/48*-4)\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5129488 divided by 4732.\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/6 + 18239*m\/6 - 490640 = 0. Calculate m.\nAnswer: -18399, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*o - 122 = -5*y, 0 = -3*y - 4*o + 62. Let g = y + -26. Let s(t) = 0*t + 3*t + g*t + t. Let z(m) = 2*m. Calculate z(s(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 727.6473 litres?\nAnswer: 727647.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 71?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 + 275864*s**3 + 1379252*s**2 + 2206768*s + 1103376 = 0.\nAnswer: -68961, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 3*c + 2. Let h be i(2). Let d = -2 + h. Let k be (d - -4 - 2)\/1. Solve -2*y - 3 - 3 = k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 159720.\nAnswer: 159720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*t + 4*t - 92, -t = v - 44. Let w = t - 46. Determine u so that w*u**4 - 21*u**2 + 3 - 1 + 17*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*c - 6255 - 1811 + 1169 = 0 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 12:02 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.23 - 8.23. Sort f, -0.3, 5, 93 in descending order.\nAnswer: 93, 5, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5 = 3. Calculate the remainder when (3 - 1)\/(j\/(-68)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 6. Let k be m(14). Suppose 2*c = 7*c - k. Suppose 2*t = -5*l + 30, -24 = -0*l - l - c*t. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 6 = 17*u. Let r be 1510\/(-12) - u\/12. Let v = -73 - r. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 51\/122?\nAnswer: 51\/122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 673, 1554, 2787, 4372?\nAnswer: 6309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 351 + 130 + h**2 + 79.\nAnswer: h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**5\/20 - h**3\/6 + h**2\/2 - 2541*h. Let a = 1 - 0. Let j(z) = 2*z**3 + z**2 - 2*z + 1. Calculate a*j(b) - d(b).\nAnswer: b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2425 - 5?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (184\/(-230)*10\/6)\/(1\/(-12))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 0\/3 - (1 - (6 + -2)) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/60 - 38\/(-12))*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24593207?\nAnswer: 103, 113, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70158325, -140316648, -210474971, -280633294, -350791617?\n\"Answer: -70158323*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.276 - -58.124. Let m = -58.38588 + v. Round m to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 - 7*r**3 + 2*r**3 + 16*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-298)\/(-26075))\/(1\/25)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -99*q**3\/4 + 2181*q**2\/2 - 12441*q\/4 + 369\/2 = 0.\nAnswer: 2\/33, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*m - 95*m = 120. Calculate the lowest common multiple of m\/(-9)*((-20 - -1) + 4) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -37. Let m = -34 - c. Solve 3*j = -2*u + 11, 3*u = 2*j - 7*j + m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + l - 3. Let y be c(-3). Let s = y - 16. Let o(a) = -a**3 - 5*a**2 - 6*a - 3. What is the units digit of o(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6108*h - 66 - 24 + 6164*h wrt h.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/4? (a) 38 (b) 8 (c) 0.2 (d) 4 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 133955616, 267911231, 401866846, 535822461?\n\"Answer: 133955615*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(((b*b\/(b\/b**(2\/5))*b)\/b)\/b))\/b)\/(b\/(b*b**(-1\/17)*b)))\/(b\/(b\/b**(-2\/3))*b**(-2\/9)) assuming b is positive.\nAnswer: b**(1094\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 998 + -129. Suppose 0 = 5*x - g - 1111. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4896 - -0.47. What is w rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 38 = 2*v, 0*v - 5*v = 20. Let u = -32 - d. What is the closest to -2\/11 in 4, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5391200.99 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/4 (c) 4\/3 (d) -4\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c, 3*q - 2*c + 74 = 5*q. Let a = 5 + 17. What is the least common multiple of a and (-26)\/q - 26\/(-3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -162, -555, -1334, -2631, -4578, -7307?\nAnswer: -10950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isqqfssqinfq. What is prob of sequence ifi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2914*s + 363*s - 3 - 1325*s + 3 as y + m*s and give m.\nAnswer: -3876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1145*u - 28. Let s(c) = -1142*c + 18. What is 2*g(h) + 3*s(h)?\nAnswer: -1136*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, l: 3, u: 2, k: 5}. What is prob of sequence lgu?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*n + 75*n + 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 3417280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.979 + -18. Let k = o + -0.05. Let f = k + 1.101. What is f rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 5*l + 5. Let k be j(4). Let i(v) = -5 - 17 - 13*v + 2. Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + 6*(2*(sqrt(162) - (sqrt(162) + sqrt(162)*3) - sqrt(162)) + sqrt(162) + 4 + sqrt(162) + 4*sqrt(162)))*5)**2.\nAnswer: -123120*sqrt(2) + 596196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -13779*d - 76. What is p(0)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3540*a**4 + 341 + 92*a**2 - 7*a + 3541*a**4 - 90*a**2 to i + z*a + w*a**4 + m*a**3 + x*a**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605334 to the power of 1\/2, to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 159 = -17. Suppose -c + k = 3. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - ((sqrt(88)*-1 - sqrt(88))*2 + sqrt(88))) + -2*sqrt(88)*2)\/((1*sqrt(96))\/sqrt(12)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -299, -387, -525, -707, -927, -1179?\n\"Answer: p**3 - 31*p**2 - 2*p - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + m**2 - 103*m. Let d be f(0). Solve -4*t - 2*k = 3*k + 26, 2*t + 4*k + 16 = d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3857289 and -3857288 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 532 + -5084011?\nAnswer: -5083368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 5, m: 1, j: 1, v: 3}. What is prob of picking 1 v and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/6 - c**3\/3 + c**2 - 8*c. Let o be z(0). Solve 4*j + 2 = 5*y, o*y - 4*y + 5*j + 11 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227318?\nAnswer: 2, 7, 13, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 21860*u - 65590. What is g(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1388495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*a - 326*a + 5*h = -5, -5*h = 4*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 9*b**2 - 11*b. Let v be s(-10). Let n = v + -10. Determine m so that 0 + 1\/5*m**3 + n*m**2 - 1\/5*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 7:09 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -37. Suppose -45 = -3*r + r + 5*f, 3*r + 5*f = 5. What is the smallest common multiple of q and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972789799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 1. Let h(g) = -g**2 + 6*g - 4. Let z(f) = -h(f) + 4*q(f). What is the second derivative of z(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 127 - 725*l + 260.\nAnswer: -725*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4023113 is divided by 2170?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 63778 to the nearest ten.\nAnswer: 63780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-21)*(-84)\/(-360)*(-10)\/(-4)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168400 and 1312.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 758.9 + -758.5. Sort b, -1\/6, 929.\nAnswer: -1\/6, b, 929","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, h: 15}. What is prob of picking 3 r?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 1, f: 1, s: 1, x: 6, y: 1}. What is prob of picking 1 l, 2 x, and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 601340 and 22480?\nAnswer: 2405360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 25. Suppose -9 + r = -w. Let o be 6\/4*2\/w. Which is greater: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-5)*15\/6. Suppose 5 = 5*z + 4*f, 0 = 3*z + 2*f - k + 1. Is z equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 n, and 1 s when four letters picked without replacement from busffuscnnfbff?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(5\/6))\/(r*r*r\/(r\/r**(-1\/3)))*r**(-1)\/r**(2\/11))**(-1\/11) assuming r is positive.\nAnswer: r**(67\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(0 + sqrt(684)) + (sqrt(684)*1 + sqrt(684))**2*1 - ((sqrt(684) - sqrt(684)*-2)*-5 + 4)).\nAnswer: -8196 - 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {r: 1, m: 7, l: 4, y: 2, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 23*b + 4 = -22*b, 3*b = -4*d - 3. Sort -3, d, -21, -25.\nAnswer: -25, -21, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - a**2. Let i be (-3)\/(-1)*(-1)\/3. Let t be w(i). Let q = -1 - -3. Solve 0 = d + q - t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 163, 154, 147, 142, 139?\n\"Answer: x**2 - 12*x + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5835 + -26?\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284*d**2*u**4 + 23*d**2 - 119*d*u**4 + 65*d*u**2 - 14*d wrt u.\nAnswer: -6816*d**2*u - 2856*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by -43\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*3\/(-24))\/((-19)\/(-6))*(-92)\/(-184).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4238 (base 10) to base 2.\nAnswer: -1000010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -251a (base 16) in base 3?\nAnswer: -111000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 - 156\/(-65). Let b be (-15)\/n*(-4)\/6. Solve -b*p + 3 = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1404 + 2776. Suppose 432 - m = 5*v. Let w = 292 + v. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108354 is divided by 36117.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000799797412 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1772832.\nAnswer: 2, 3, 59, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/12 + (-5306)\/(-84) and 49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 29 = 2*z - 4*n, -3*z + n + 33 = 0. Calculate the greatest common divisor of 80 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*d - 61 + 172, 0 = -3*u - 5*d + 87. Suppose -23*m - 371 = -u*m. Let b = m + 80. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2451 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026869 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: Let f(g) = -110*g + 4. Let u(q) = -q. Calculate u(f(m)).\nAnswer: 110*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, 3, -284 in descending order.\nAnswer: 3, -159, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15250267 to the power of 1\/2, to the nearest integer?\nAnswer: 3905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 3*v**2 - 7*v + 2. Give h(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 4*g**2 + 3*g + 3. Let x be b(-2). Let n be (-1)\/(1\/2) - -1. Let o = 3 + -2. Sort x, n, o.\nAnswer: n, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1983327143.99999937 + -1983327113. Let c = 30.46 + 0.54. Let f = c - h. What is f rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 + o - 3. Let x be t(0). Let s be 1\/x*120\/140. Which is the biggest value? (a) 5\/4 (b) s (c) 13 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -43*a**6\/120 + a**5\/60 - 5*a**4\/8 - 19*a**3\/3 + 14*a**2 + 4*a. Is r(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from {e: 3, y: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 8*k**2 + 8*k + 7. Let b = 6 + -13. Let i be q(b). Solve i*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/558825 < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 3. Let i be h(-4). Let c = 6 + i. Let q = -2 - c. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.2 and -10380.125665986.\nAnswer: -10378.925665986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 678 + -675. Calculate the greatest common factor of s and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((336\/(-105))\/(-8))\/(32\/(-15)). Which is the second biggest value? (a) s (b) -152 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344 = -5*m - 1309 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.82831 centuries to millennia.\nAnswer: 7.082831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -126830?\nAnswer: -126833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -100111011100011011010?\nAnswer: -100111011100011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4) + -2)\/(12\/156)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 216*y**2 - 3159*y - 27378.\nAnswer: -3*(y - 39)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1085 and 6.\nAnswer: -6510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3813 + -3807. Sort b, 29, -2, 4 in decreasing order.\nAnswer: 29, b, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 - d + 6. Let h be 40\/6 - (-14)\/(-21). Let k(l) = 3 - 7*l**2 + l - 7 - 3. Calculate h*g(n) + 5*k(n).\nAnswer: n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/53)\/(n*n**7))**(-2\/17))**31)**25 assuming n is positive.\nAnswer: n**(654100\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003368 is divided by 2003334.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2\/2 - 46*h - 31\/2 = 0.\nAnswer: -1\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in 2, -0.2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {w: 1, f: 1, j: 1, y: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -4. Let g(c) = c**2 - 8*c - 2. Let i be g(8). Suppose -3*k = -2*z, 3*z + 0*k - 3*k = -3. Put r, i, z in ascending order.\nAnswer: z, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284 (base 9) to base 5.\nAnswer: -1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3589 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 - b**2 + 4*b + 5. Let r be i(-1). Suppose d - 12 = -3*j, 2*j = -j + d + 6. What is the second smallest value in r, j, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00279502215 rounded to seven decimal places?\nAnswer: -0.002795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 10:42 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - j**2 - 2 + 2 - j**4 to n*j**2 + q*j**3 + i*j + k + s*j**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 2. Which is the nearest to -0.2? (a) u (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12 + (-125)\/(-10))*(-129)\/6 and (-2)\/3 - 223\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196395 - 3*x**2 + 92234 + 667*x - 164042 - 2461*x.\nAnswer: -3*(x + 299)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3606 (base 8) to base 6.\nAnswer: 12530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163248 or -163239?\nAnswer: -163239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgew when four letters picked without replacement from {e: 1, g: 1, z: 1, f: 5, w: 2}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 18 = m, 2*m - 24 = -4*f. Solve 0 = m*t - 1 - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 3*q + 4*q + 5*q**2.\nAnswer: 5*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -17*f - 9. Suppose 0 = -2*i - 2*s - 237 - 251, i - 5*s + 250 = 0. Let t = 249 + i. Let v(m) = -9*m - 5. Give t*o(z) - 7*v(z).\nAnswer: -5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6282587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 + 18 + -5 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/120 + 3*p**5\/20 - 3*p**4\/4 + 5*p**3\/2 - p**2. Let t be -15*(5\/4 + 154\/(-264)). What is the tens digit of w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14454463955875 less than -0.56?\nAnswer: 14454463955874.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*u)*(5*u + u + 5*u) + 7*u**2 - 38*u**2 + 92*u**2.\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/((-14280)\/(-18)))\/((-6)\/(-80)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(3\/7)*z**37 assuming z is positive.\nAnswer: z**(263\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5833 + 204206\/35. Find the common denominator of 65\/56 and l.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 i, and 1 u when four letters picked without replacement from {t: 1, u: 1, r: 1, n: 2, i: 4, l: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -8, 6, -400 in descending order.\nAnswer: 6, -1, -5, -8, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = o - 16, 4 = -c - 3*o + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 5*l + 3 = -16*b, 3*b + l = 6. Calculate the highest common divisor of b and 417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16e (base 15) in base 4?\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28091655 or -28091652?\nAnswer: -28091652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1 + 2 - 2*t + 3. Let y(a) = -a + 5. What is 3*g(z) - 4*y(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let i be -4 + o\/(-3 + 1). Let x be 1\/((-220)\/340) + 12\/22. Put 4, i, x in decreasing order.\nAnswer: 4, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and 0.6673.\nAnswer: -8.3327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -309690 divided by -61938?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**5\/20 - 5*a**4\/6 - a**3\/6 - a**2\/2 - 87*a - 3. Determine g(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 2\/5 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5) + (-3 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 439 - 471. Let m be (-4)\/n + (-945)\/(-56). Round m to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 2. Let j be x(3). Suppose 3*f + 2*f = 3*l - 21, j*f + 14 = l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*p**3 - 199*a*p**2 + 10*p**3 - 3 wrt a?\nAnswer: -2*p**3 - 199*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -0.36 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 52766448 divided by -776\nAnswer: -67998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6689370 and 10?\nAnswer: 6689370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzz when three letters picked without replacement from {b: 16, l: 1, z: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6171) + 2*sqrt(6171) + sqrt(6171))*-5)\/(sqrt(147) - -1*sqrt(147) - ((sqrt(243)*-2 - sqrt(243)) + sqrt(243))).\nAnswer: -55*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -560*c**2*k - c*k + 62*k wrt c.\nAnswer: -1120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/3 - 181486*o**3\/3 + 2743372271*o**2 + 378873440348*o\/3 + 4358148913924\/3 = 0. Calculate o.\nAnswer: -23, 90766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - 240*z - 4766. Give j(-37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or 179?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 2*l + 4*f - 358, 4*l - 512 = -4*f. Suppose -j = 4*m - 338, -37 = -2*m + 3*j + l. Is 42 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5071, -40610, -137079, -324946, -634679, -1096746?\n\"Answer: -5078*z**3 + 3*z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.5 - 48. Which is the nearest to 6? (a) 1\/9 (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 16. Let i = -5 - -16. Suppose 3*f + 4*o - 56 = 0, 0 = 4*f - l*o - 95 + i. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166163535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45351 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 39*b**2 - 80*b**2 + 51*b**2 - b + 12. Let r be q(10). Factor 0*c - 3\/4*c**4 + 3\/4*c**3 + 0*c**r + 0.\nAnswer: -3*c**3*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11060 is divided by 3674?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/11 + 4*i - 224\/11 = 0 for i.\nAnswer: 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/(455\/(-819))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-18*(-30)\/(-135)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*o + 36 - 11, -u - 5*o = 4*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 284 + -237. What is the remainder when 185 is divided by h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 12*k - 35. Suppose 0 = -k*f - 4*p + 3518 + 11909, -3092 = -f - 3*p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 + 76*n**2 + 10*n - 15. Give b(26).\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let g(t) = -7*t**2 + 2308*t - 1. Give g(m(x)).\nAnswer: -7*x**2 + 2308*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-72)*24\/42?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 43 + 22)*(6*d - 16 + 16 + (0*d + 2*d - d)*(-5 + 3 + 0)).\nAnswer: 272*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 12:26 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:49 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0184833 rounded to 5 dps?\nAnswer: -0.01848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at most -26\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13785*n - 8200. Let u(h) = -1532*h - 911. Let i(j) = 6*c(j) - 55*u(j). Find the first derivative of i(x) wrt x.\nAnswer: 1550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 58. Let l be v(29). Let b be (30\/12)\/(l + -2). Does b = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(140\/(-16)))\/(-248*(-14)\/392).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680631183 to the power of 1\/3, to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1143 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o + 11. What is a(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let y(o) = 19*o**2 - 2*o + 2. Give -2*c(q) + y(q).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155022?\nAnswer: 2, 3, 7, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41843.46 milligrams?\nAnswer: 41843460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**2 + u**2 + 0*u**2 + (7 - u - 7)*(5*u - 2*u - u) as q + v*u + x*u**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/224)\/(1\/(-14)). Solve 4 = 3*m - r*x - 6, 0 = 5*m + 5*x + 30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + q + 1. Let k = 519 + -520. Let y(p) = p**3 + 6*p**2 - 6*p - 8. Calculate k*y(i) - 6*u(i).\nAnswer: -i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*h - 28, -h + 126942 = 3*w + 126941 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -6. Let i be ((-12)\/10)\/((-6)\/k). Suppose i*d - 9 = -0*d. Which is the closest to -1? (a) 0.2 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 54*c - 4 - 3*c + (0 + 3 + 0)*(c + 1 - 1) + 12*c + c + 4*c to o*c + q and give o.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 46. What is the least common multiple of m and (-1 + (-1 - -3))*7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 19*o - 22. Let j be h(17). Let t = j + 54. What is the least common multiple of 4 and t*(2 + 11\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/21*(-11628)\/456.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232233817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(76) + sqrt(76)*3*3 + 5*-1*sqrt(76))\/((sqrt(84)\/sqrt(3)*-4)\/(sqrt(7) + sqrt(112)*-1 + sqrt(112))).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9946 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 22016*m - 65531. Determine d(3).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118761 is divided by 338.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -14*i**3 - 9418*i**2 - 985568*i + 282360 = 0?\nAnswer: -543, -130, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4009 - 4009. What is the closest to g in -0.7, 1, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401326*q = -401028*q - 19668 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001044 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 18.6?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-90)*(-306)\/(-17)*(-20)\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18522324 and 16464288.\nAnswer: 148178592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4\/17, -51.2, 1\/5?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167a (base 12) to base 5.\nAnswer: -41221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 2*z. Let j be n(-2). Let f be (4\/6)\/(1\/(-30)). Let x = j - f. Solve 3*a + 3*b + 8 = 4*a, -5*b = x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3165 is divided by 244.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 53.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 - -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*p + 107, 0*s - 3*s - p + 73 = 0. Suppose -s + 20 = -3*y. Solve 2*r = -y - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21760.56 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5978535)\/30)\/(34\/(-68)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150773183 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {c: 9, o: 1, z: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1224 * -26909\nAnswer: -32936616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19059\/59 + -323. Let u = -29.8 - -25.8. What is the third smallest value in u, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02758 + 0.32758. Sort -1\/12, 2.05, -2\/3, j in increasing order.\nAnswer: -2\/3, -1\/12, j, 2.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18643 in 1, -2, 2, -1, 0, 0.001?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 23 = -3*l, 11*f + l = 13*f + 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280593.\nAnswer: 17, 75329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 275 and 175?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2013023 - -11?\nAnswer: -2013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178224 is divided by 89050?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3936000 to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3950 or -367238\/93?\nAnswer: -3950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 - 134. Suppose r + 2*o = x, -2*r + 29 + 7 = 2*o. What is the greatest common factor of r and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 12. Let c be p(-24). Suppose 6*m = c*m - 3072. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163099867 rounded to the nearest ten thousand?\nAnswer: 163100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 13 = 25. Let i be 0\/(12\/v) + 2. Solve 5*a + i = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37144600 by 7428920.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-10)*(-18)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7808124 by 4.\nAnswer: 1952031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-662)\/(-8) - (-2 + (-36)\/(-48)) and 294?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.364 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*205*(-72)\/80*508\/1143?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7747 - -7746.5. Let o = 4 - 3.7. Sort o, 6, p, 1 in descending order.\nAnswer: 6, 1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 27*k + 25*k - 2)*(-5*k + 4*k + 2*k).\nAnswer: -2*k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 21. Let l be o(6). Suppose 0 = -9*s + 7*s + 8, 0 = -2*w - 4*s - 4. Put 1, w, l in descending order.\nAnswer: 1, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**(1\/4)*(p**1)**(-1\/89) assuming p is positive.\nAnswer: p**(87\/178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.706735 millilitres in litres?\nAnswer: 0.007706735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7615 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5101 + -5101. Sort 290, d, -3, 0.2 in decreasing order.\nAnswer: 290, 0.2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a meter in centimeters?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**8\/j)*j\/((j**(-3\/4)\/j)\/j))**(-18\/5)\/((j*j*j*j**(-2\/3)*j*j*j)**45)**(1\/22) assuming j is positive.\nAnswer: j**(87\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 964, 1065, 1166, 1267?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11384 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 2 + 3 - 1. Suppose 2 = -p - 5*a, -4*p + p + 6 = 3*a. Let g(m) = -2*m**2 + p*m**2 + 3*m - 3*m. Calculate c(g(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2651 - -2953. Let c(v) = -15*v - 1. Let u be c(1). Let w = z + u. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + c**2 + 23 - 37 + 0*c**2.\nAnswer: c**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*z - 3765 = 2*z + 124*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40624 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/6 - 127*p**3\/6 + 1279*p**2\/2 + 12415*p\/6 + 4225\/3 = 0.\nAnswer: -2, -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgpjpjqpsp. Give prob of sequence qs.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + (-116)\/(-10). Let j(v) = -v**2 + 245*v + 2316. Let n be j(-9). Calculate the greatest common divisor of n and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m. Let r(i) = -i. Let g be (-3 + 11)\/(-4)*-1. Let s be 2*7 - ((-2)\/1)\/2. Suppose -s = o - 3*a, 8*o - 5*o + 29 = a. What is g*f(j) + o*r(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 4, -5, -4 in ascending order.\nAnswer: -5, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 36. Is -5 - (j + -1 + -2509) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0528195 - 0.03282. Let v = -0.28 - -0.3. Let h = v - c. Round h to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1033176, -2066356, -3099536, -4132716?\n\"Answer: -1033180*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 75. Solve -4*z = 4*x + 8, 2*x + t = z + 2*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 1838.\nAnswer: 1470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11066*a*u**3*x**3 + 17*a*u**3 + 2*a*u**2*x + 752*a*u*x**2 - 8*a*x**3 - 3*u**3*x**3 + u**3*x**2 + 3*u**2*x**2 wrt x.\nAnswer: 66396*a*u**3 - 48*a - 18*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 41. Give n(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 4. Let u be q(-3). Let p = u + 7. Suppose 2*x = -4*s - 8, 7 = -3*s - 2. Solve p*d + d = -x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/(1 - 0 - 0). Suppose -4*n + p = n. Calculate the remainder when 54 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69312600 and 200236400?\nAnswer: 1802127600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 665\/(-114)*12\/(-28).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-14))\/1 - (-4)\/14. Which is the fourth smallest value? (a) 0.1 (b) 0.03 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 1)*(-70 - 295 - 109) + (2*k + 3 - 3)*(3 + 2 + 0) + k - 2*k - k.\nAnswer: -940*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -10 + (40 - 21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 0.89\nAnswer: -16.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o + 9 - 9.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 8*h + 11. Let c(m) = 5*m + 7. Let r be c(5). Suppose -5*u + r = -u. What is the remainder when 21 is divided by o(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 825 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 8432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546276 is divided by 395.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/1691 and 58\/57.\nAnswer: 5073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/5 + 552*i**3 + 285660*i**2 + 65701800*i + 5666780250 = 0.\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*m = 0. Suppose -p + 4*p - 6 = m. Find the third derivative of -t**3 + 6*t**3 + 6*t**2 + 2*t**p wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(1 + 1)*7. Suppose -o + 10 = -2*n, -o - n - 4 = -26. Let p = b - o. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.594082g in nanograms?\nAnswer: 4594082000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 425631487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/544*16\/180*15.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/14 - 9\/28. Let v(t) = 66*t - 2114. Let q be v(32). Let f = 0.05 - 0. Sort f, 2, q, w in ascending order.\nAnswer: q, w, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.8 times -0.0429719\nAnswer: -0.50706842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -133, -192, -227, -232, -201?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8211217*c**4 + 5412819 wrt c.\nAnswer: -32844868*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 429 - (74 + -74)*(-2)\/(-4). Calculate the greatest common factor of 156 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25781 + -25759 + -110 + 2 + 0.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 19, 31?\n\"Answer: 12*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272*k - 2545*k + 1272*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2527*p - 12661. Give n(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 459, -0.01.\nAnswer: -4, -0.01, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + z**2 + z + z**3 - 4*z**3. Let y be f(-1). Let t(b) = 2*b**3 + 3*b**2 - b - 1. List the prime factors of t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341 + -2?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 - 917 = 5*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2.91683.\nAnswer: -14.58415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13921509?\nAnswer: 3, 7, 19, 23, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1705120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = 4*t - 48 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12990, 0, -3 in increasing order.\nAnswer: -12990, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose 0 - 15 = -q*b. Suppose b*p + 2 = 3*v, -5*p - 2*v + 7*v - 10 = 0. Solve z = 3 + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26 - 1*-1)*420\/252. Calculate the greatest common factor of 36 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -7*p**3\/3 - 7*p**2\/2 - 1428*p. Give u(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13140*g**2 + 65*g - 5. What is the units digit of u(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 118179 = -0*y - 6*y. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -73*k**5 + k**4 - 353*k. Let l(a) = 72*a**5 - a**4 + 354*a. Let p(h) = 5*l(h) + 6*z(h). What is the second derivative of p(t) wrt t?\nAnswer: -1560*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-246)\/(-164)*8\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 2*v**4 + v**4 + 5 + v**4 - 5 + (-1 + 0 - 1)*(-1 - 2*v**4 + 1) + 0*v**3 - v**4 + 0*v**3 - 2*v**4 - v**4 + 5*v**4.\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(12)*1 + sqrt(12))*6)\/(-2*sqrt(864)).\nAnswer: 11*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/251, 0.1, 3, -0.2, -23.86?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*c**3 + 129 + 32*c**3 + 44*c**3 - 126.\nAnswer: -9*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17335 (base 8) to base 7\nAnswer: -32015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*s + 3*f - 6, 12 = 3*f. Let v(m) = -m**3 + m**2 + 5*m**s + 4*m + m - 4*m. Let i be v(6). Solve o + 3*d + i = 5*o, 4 = -2*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, 3846\/83, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -3*t + 3*f, 5*t = -4*f - 45 - 127. Let a be (-3 - -4 - t) + -4. Suppose 2*k + 3 = a. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -130*f**2 + 1979*f - 1979. Determine r(1).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1. Let h(q) = -2*q + 11. Let x(f) = h(f) + 6*i(f). Let m be x(4). Let g be m + -43*(16283 + -4). What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b = 396. What is the highest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-446)\/(-2899) - (-46)\/(-468).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -3*b + 5, -4*t + 58 = -2*b. Calculate the lowest common multiple of t and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2103013*g**5 + 2500728*g?\nAnswer: 42060260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-7168)\/903) - 196\/12544?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 0.2, 37, 0.004?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:17 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -49, 3, 4 in ascending order.\nAnswer: -49, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92348*m - 92348*m + 935*m**2 + 293*m**2)*(23 + 10*m - 23) to the form i*m**2 + b*m + p + z*m**3 and give z.\nAnswer: 12280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(108) + (-4*-1*sqrt(108))**2)*-1 + (sqrt(12)\/(sqrt(40)\/(sqrt(10)*-1))*-2)**2).\nAnswer: 18*sqrt(3) + 5157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 4*d**3 + 4*d**3)*(-75*d - 252*d + 450*d)*(-2 + 1 + 4 - 5).\nAnswer: -246*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1194, 1245, 1298, 1353?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6546, -6531, -6504, -6459, -6390?\n\"Answer: l**3 + 8*l - 6555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/13 - 620*x**2\/13 - 55096*x\/13 - 80656 = 0 for x.\nAnswer: -142, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5585.915ml to litres.\nAnswer: 5.585915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -66.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18579 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327899?\nAnswer: 11, 13, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:30 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 0\/((-24)\/(36\/3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9195*w + 10411*w + 19456 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -4.6. Let x = 4.00021 - b. Round x to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 8*a + 10. Let h be y(7). Let u be 19\/(-3) + 1\/h. Let s = -67857 - -67859. Put u, s, 0 in increasing order.\nAnswer: u, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -405, 0, -15, 6, -1, 3.\nAnswer: -405, -15, -1, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let z be l(2). Sort -1, 1, z.\nAnswer: -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7740 - 2859. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:39 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -2. Let l = 35\/124 - 1\/31. Sort -4, s, l.\nAnswer: -4, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2293365 - -0.5.\nAnswer: -2293364.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 642 = -2*o, -2*k = 3*o - 4 - 297. Let d = 309\/2 - k. Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3812*n + 739236. Determine q(194).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 91. Calculate the smallest common multiple of ((-225)\/125)\/(3\/(-50)) and b.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 + 163 - (-1 + 9 + 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 3*m + 4. Let w be l(-4). Solve -f + 2*f + 2 = w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = j - 427, -t = 5*j - 83. Suppose -c - c - 117 = -d, -d = c - t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r. Suppose k = h + 204, r*h = k + h - 202. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 3. Suppose -2 + 27 = -5*m. Let l(f) = -f + 2. Let i(j) = m*l(j) - 4*v(j). Differentiate i(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * -0.41.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:11 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165807 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - 66003?\nAnswer: -65634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 0.8. Suppose -5*z - 4*w = 30, 2*z + 2*w + 12 = z. Let a(x) = -2*x - 3. Let p be a(z). What is the nearest to -2 in o, 0.4, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 2. Suppose 5*s - p + 4 = 3*s, -20 = 4*s + 4*p. Give z(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, 464, 1, -52, 5, 0 in decreasing order.\nAnswer: 464, 14, 5, 3, 1, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 85?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j - 8*j**2 + 6*j)*(20 - 18 + 12 + 22).\nAnswer: -288*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3 and 79\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26 + 30 - 80*d**2 - 20 wrt d?\nAnswer: -160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 7:11 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2420*h**5 + 5082*h**4 - 486*h**3 + 4*h**2 = 0.\nAnswer: 0, 1\/110, 1\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 56*j - 97. What is b(-55)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332981.9 kilograms in tonnes?\nAnswer: 332.9819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6\/5, 3, 704, -146, -10, -1\/3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 - 203. Suppose 3*j - g - 37 = 0, -5*j + t*g = 8*g - 73. Solve -j = 5*q + 3*d, 4*d = -4 - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*b + 351*b = -j - 3675702, 0 = -4*b - 3*j + 2940535. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5646*-5.\nAnswer: -7.823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 56 - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 17*r - 11*r. Calculate the remainder when 46 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356894119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-1)\/(-27)). Let h = -3 + j. Let y = 255 + -251. Solve y*g = 6 + h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (5 + 0) - -6 - (-17 + 11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/10*26\/9945*-60.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12650639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4276 + -4274. Let j(z) = -z - 6. Let h be j(-6). What is the third biggest value in 0.2, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 152 + 23816*t + 295.\nAnswer: 23816*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*p + 21 = 0, 5*j - p = 3*p + 30. Factor 5*x**3 + 11*x**2 + 20*x + 18*x**2 - 9*x**j + 0*x**3.\nAnswer: 5*x*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 4. Suppose -b*l - l = -25. Suppose -21 = 3*t + a - 70, l*t - 76 = 4*a. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5951.556 micrograms?\nAnswer: 0.005951556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:07 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let g(i) = 1 - 3 + i**2 - 3*i + 3*i - 4*i. Let q be g(5). Solve q = c*r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/2, -1\/3, -135?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4)*3)\/(21\/12)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14940 and 11899935?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 + 169*a**2 - 12*a - 374. What is v(24)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/3)\/((-6)\/(-9)). Let m(u) = 5*u**2 + 1. Let f be m(1). Let k = f + a. Let n(z) = z + 11. Calculate n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.061? (a) 1 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 88262272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/120 - 7*p**4\/24 - p**3\/2 - 13*p**2. Let y(o) be the first derivative of c(o). Differentiate y(a) with respect to a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1927*h**3 - 115*h**2 + 1837*h + 235*h**2 - 122*h**2 wrt h?\nAnswer: -11562*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3459 * -1.38.\nAnswer: 4773.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.74371 + 14.\nAnswer: 5.25629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/153340 and -197\/41820.\nAnswer: 460020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f + 6. Let t(o) = -1. Calculate -6*t(m) - v(m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2174511mm to centimeters.\nAnswer: 0.02174511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 2*h)*(-156*h - 25*h - 35*h) + (3*h + 4*h - 2*h)*(-2*h - 4*h + 4*h).\nAnswer: -442*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - z + 7*z**2 + 3*z - 9*z**2.\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.28. What is y rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -33, 1, -3, 387.\nAnswer: -33, -3, -1, 1, 4, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*x + 24, -49*x + 47*x - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -533.\nAnswer: 1\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 25 = -2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -8\/7 + 12\/7*a - 4\/7*a**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(-1 + sqrt(175))*6)**2 + (-3 + sqrt(175) + 4 - 1*(sqrt(175) + -2 + sqrt(175))**2).\nAnswer: -315*sqrt(7) + 5634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let i be u(-6). Suppose 3*k - k = i. Suppose -z + 4*z + k = 0, -2*g = -5*z - 28. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 3:07 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8232 and 12348?\nAnswer: 24696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 212 - 212.00222. Let v = -0.201 - -0.2. Let i = v - x. Round i to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48 + -47)*7*-1. Let c = 37 - h. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 q when four letters picked without replacement from {j: 4, t: 1, s: 3, q: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33979113007.4 - -0.04?\nAnswer: -33979113007.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/45 + 4\/(-10). Let r = -424 + 845\/2. What is the third biggest value in r, c, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.95693785 to three decimal places.\nAnswer: 85.957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.075 + 1. Let i = -5.426 + 5.826. What is the second smallest value in i, d, -3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 485694?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 23824*q**2 + 2*q. Let s be o(2). What is s rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, -2, 4, -89, 7, -3 in increasing order.\nAnswer: -89, -17, -5, -3, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.644 + -14.4. Let a = w - 0.97. What is a rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t. Suppose t*d = 2*d - 88. Suppose 3*c = -c + d. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -23. What is the second biggest value in b, 0.08, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 64400543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 7*f + 7. Let n(r) = -2*r + 2. Suppose 502*c - 494*c = -56. Determine c*n(a) + 2*l(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -866 + 188 = -v. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vikiivvvvviikkiii. Give prob of picking 1 k and 1 v.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*i + 1450485 = 8541371. Is i a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 2. Let f = 4 + t. Let k be ((-6)\/2 + 7)\/3. Is f greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 2. Let h be k(-2). Let p(y) = y + 3*y - h*y. Let i(z) = z**2. Calculate p(i(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.16 + 13.63. Let y = -17.7898913 + g. Round y to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2 + 511*c + 255 = 0.\nAnswer: -255, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 24*u + 71. Calculate m(26).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 10, 5*a + 8 + 13 = -2*w. Let r be (-35)\/(w\/(-320)*2). What is r rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4041507867 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -941\/33 - -85\/3. Which is the nearest to -1? (a) 0 (b) w (c) 1 (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 479, -11, 17565.\nAnswer: -11, 1, 479, 17565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3 + 3404*c**2 - 1465272*c + 14314320 = 0.\nAnswer: 10, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 4*w**2 - 2*w + 5. Let g be x(4). Let c = g - -4. Solve -1 = -2*u + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**5 + 104*l**2 - 186*l**2 + 104*l**2 + 6*l**4 wrt l?\nAnswer: -600*l**2 + 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 14*w - 6 = 0. Factor 4\/3 - 2*s**3 - 4\/3*s**2 + w*s.\nAnswer: -2*(s - 1)*(s + 1)*(3*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(5 + 0 - 4)*(-2 - 3 + 4)*(-1 + 1 - w**2 + (w**2 - 2*w**2 - w**2)*(-1 + 0 + 2)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjcmbcbrrjjcjscrbbs. Give prob of sequence ccss.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.2456147 weeks?\nAnswer: 2475.796176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 17792?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011 (base 2) to base 4.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + (-815)\/(-10) - 3\/(-6) is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7*j + 24. What is the smallest common multiple of 28 and q(-7)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-1980)\/(-64)) - 2\/15.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 90?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r**3 - 3*r**2 - 6*r + 13. Determine y(-4).\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 7786?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 1792863 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 - 26*d**2\/9 - 46*d\/9 - 22\/9.\nAnswer: -2*(d + 1)**2*(d + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5 - 23*l**4 + 174*l**3 - 568*l**2 + 800*l - 384 = 0.\nAnswer: 1, 2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 - 36*l - 3*l + 5*l**3 - 5*l**2 + 96 - 202 - 22*l + 108 as c*l + t*l**3 + z*l**4 + q*l**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.1, -4, -0.3, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -8 - 4. Let f be 32\/10 - (-1)\/(-5). Solve -2*l + 4 = -6*l - d*b, 17 = -l + f*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 22*t - 458. Calculate f(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*((1*sqrt(52) + sqrt(52))*-1 - ((1 + sqrt(13))*2 + sqrt(13) + 1 + sqrt(208)))**2*-5.\nAnswer: 1980*sqrt(13) + 47460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4301 + -3?\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20845?\nAnswer: 5, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 19. Let z be y(13). Let b = z - 308. List the prime factors of 2\/((-8)\/b)*-2.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397 + 3*p**4 + 3*p**2 - p + 31*p**2 + 395 to w*p**2 + k*p**4 + x*p + l*p**3 + h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q**3 - 99*q**3 + 43*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/8)\/(9\/(-45)*(-125)\/(-60)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2174\/(-62) + -1 - (-129 + 455658\/3534)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 34, -2\/11, 2, -0.35, 2\/5 in descending order.\nAnswer: 146, 34, 2, 2\/5, -2\/11, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/10 + (-84056)\/(-280) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 2*b**2 + 10*b + 10. What are the prime factors of r(-7)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158155 is divided by 333.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 179, 167, 157, 149, 143, 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 3*r**4 - 2*r**3 + (r + 0*r - 3*r)*(r**3 - 2*r**3 - r**3) + 7*r**4 + 6*r**4 - 5*r**4 + (4*r - 5*r + 2*r)*(5 - 5 + 3*r**3).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20674740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/54 and -97\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42150836 and 1638.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, 48, -20, 0.2, 0.1, 3\/8, 5.\nAnswer: -20, 0.1, 0.2, 3\/8, 8\/7, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r - 3*r + 2*r**2 + 5*r + 3*r**4 + 17*r**3 - 19*r**3 - 2 as x + y*r**2 + t*r**3 + h*r**4 + o*r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 2*h + 21. Suppose 0 = -w - 20 + 26. Calculate f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(1*sqrt(726)))\/(sqrt(576)*1*6).\nAnswer: sqrt(13)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 38*v - 17*v - 19*v)*(-9*v**2 + 10 - 10) - v + v + 3*v**3 + (-2 + 2 - 2)*(4*v**3 - 3*v**3 + v**3).\nAnswer: -19*v**3 - 171*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -14 - ((-2)\/(-3) - (-1336)\/(-288))\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -15997, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u**3 + 6*u**2 - 8*u + 10. Let w(j) = -9*j**3 + 6*j**2 - 7*j + 10. Let r(m) = 5*w(m) - 4*y(m). Calculate r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + 2*d**3 + 11 - 11 + (2*d**3 + 6*d**3 - 3*d**3)*(2*d**2 + 2*d**2 - 2*d**2 + (4 - 1 - 5)*(-3*d**2 + d**2 + 0*d**2) - 2*d**2 + 3*d**2 - 6*d**2).\nAnswer: 2*d**5 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/1326 and 6\/(-20) + (-5)\/(7200\/4518).\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -7 - 3. Let f be (-1 + 16\/12)\/(((-40)\/(-150))\/4). Let k = -2.1 + 2. What is the closest to f in k, -4, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcnccifbnbbfnbrnbbic. Give prob of sequence fcc.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 490550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -452431 (base 6) in base 2?\nAnswer: -1001010100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 274*q*t**2 + 5*q*t + 3623*q + t**2 - 6*t with respect to t.\nAnswer: 548*q*t + 5*q + 2*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030631 to four decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -1, -0.1, 0.4.\nAnswer: -5\/2, -1, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/50 and -46\/35.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 19*c + 46. Let t be h(-21). Solve -t*g - 11 = -15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374911531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 48. Factor -3*m**3 - m**3 + 4*m - m**3 - 4*m**2 - 16*m**2 - h*m.\nAnswer: -5*m*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrqqcrrpcqcrqcrrcc. What is prob of picking 1 p and 2 c?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 13) to base 16.\nAnswer: -af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 423 + -421. What is the second biggest value in -5, t, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -1.3. Let k = o + 0. Which is the third biggest value? (a) k (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1859306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 2*f + 9. Suppose 0 = 4*d - 3*t - 16, -3*d - 4*t + 4 + 8 = 0. Let g be b(d). Which is smaller: g or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3468889231 to the power of 1\/2, to the nearest integer?\nAnswer: 58897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/11 + 48*z\/11 + 50\/11 = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4341385?\nAnswer: 5, 868277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:07 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6312 rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 742 and 848?\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-189)\/14 - (-5)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkmkkkowkmvtkkkkvkkk. What is prob of picking 2 m?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25149, 100836, 227043, 403770, 631017, 908784?\n\"Answer: 25260*y**2 - 93*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let h(k) = -128 - 4*k - 133 + 258. Determine h(j) - 3*x(j).\nAnswer: -j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -29. Which is the third smallest value? (a) -3\/4 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/64638 and -85\/3078?\nAnswer: 64638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*v + 354*v + 307*v + 250*v + 3 in the form s*v + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 2:12 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*o**3 - 1399*o**2 - 162236*o.\nAnswer: -378*o - 2798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(165\/340)*(-6 + 329\/56). Is -0.086 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38239248 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - (-3 - (-4 - 0))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 1, h: 2, o: 4}. Give prob of picking 1 v and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.089 - -0.411. Let a = -2 + 1.5. Let y = a - -0.1. What is the nearest to 0 in 5, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*z - 2*r, 5*z + 11 = r - 3. Suppose m - 2*m = -3. Let s = m + z. Are s and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**3 + 2*d**2 + 4*d + 2. Let l be z(-1). Suppose 15*m - 152 = l*m. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 14*q - 3. Let f(d) = 3*d + 12. Let h be f(-8). Is x(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (7 - -7) + -35 - (2 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {g: 1, q: 3, o: 4, w: 7, i: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 4*t - 10*t)*(-6 + 1 + 3)*(-20*t + 24*t - 31*t + (3 - 1 + 0)*(0*t + 4*t - 5*t) + t - 3*t + t)*(-4 - 1 + 0) as b*t + u + x*t**2 and give x.\nAnswer: 2700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3 + 5193*g*z + 6*z + 1835 wrt g?\nAnswer: 3*g**2 + 5193*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66428 divided by -4\nAnswer: -16607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4369 is divided by 1456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 12*b - 5 = -5*z, 0 = 3*z - 4*b + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 - 41*z + 1. Let v be a(-8). Suppose -7*c - 28 = -4*n - 9*c, -v = -5*n + 4*c. Solve 4*d + 2 = 3*q, 11 = 4*d + n*q - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*h - 2. Suppose -y + 115 = 5*b, -3*b + 69 = h*y - 17. Find the common denominator of 61\/6 and 60\/b - (-12)\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0157 minus 56.7729?\nAnswer: -56.7886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.204 to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98478 is divided by 24619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -q + 1. Let r(a) = -q + 37*a + 1 + 14. Let l be r(3). Calculate the greatest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -37. Let y be 9 - -2*(-3)\/q*1. Let z(x) = x**3 - 3*x**2 + 9*x - 3. Is z(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559061?\nAnswer: 23, 109, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6838287 + 4538187. Round m to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z - 4 - 6 + 2 - 15. Let t be k(5). Solve f + 3*y = t + 2, 3*y - 19 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k - 109*k = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 938, 1338?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z + 8. Let b be (-1 - 5\/(-10))\/(2\/8). Let v(j) = j - 2. Let q(m) = b*k(m) - 9*v(m). Calculate q(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 367593036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30044 and 2237205.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83364*v**3 + 74492*v.\nAnswer: -500184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 18 = -12*w. Solve -16 = 4*j + 3*b, -w*j + 7 = -4*b - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3155 times 1025?\nAnswer: 3233875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1219111064452 and 0.0272.\nAnswer: -1219111064451.9728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 627315*o**3 - 249426*o**2 wrt o.\nAnswer: 3763890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1421*q**2 + 3*q + 146 wrt q.\nAnswer: -2842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) + 0)**2*-1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 d, and 1 u when four letters picked without replacement from {u: 2, d: 1, w: 2, n: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111aa (base 12) in base 9?\nAnswer: 34164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*v + 104 = -706*v - 1048 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -30. Suppose 0 = -22*p + r*p + 30. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 3*x**2 + 2*x + 1. Let m be g(3). Let y(l) = -l**2 - 1070*l - 5290. Let c be y(-5). Calculate the highest common divisor of c and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/12)\/((-100)\/300)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470) + sqrt(1470) + (2*sqrt(1470) - sqrt(1470)))\/(sqrt(640)*-1).\nAnswer: -21*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15252 - 14953.55. What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0 + 0*p**3 - 3\/4*p**4 + 0*p**5 + 0*p**2 - 6*p - 1\/30*p**6. What is the third derivative of y(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5\/((-1)\/(-3)*(-45)\/(-17805))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 3*h)*(0*h**3 - 3*h**3 + h**3) + (-4*h**3 + h**3 + 2*h**3)*((0 + 0 - 1)*(-h - 2*h + 4*h) - 2 + 2*h + 2 + 44*h + 48 - 48).\nAnswer: -49*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 172480?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 73. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03800007 - 0.038. What is j rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7958*j**2 + 7864*j**2 - 14508*j**2.\nAnswer: 1314*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + m**4 + 2*m**4 - m**4 + (814*m**3 - 404*m**3 - 412*m**3 - 7*m + 4*m**2)*(2 - 3*m - 2).\nAnswer: 8*m**4 - 12*m**3 + 21*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126588 and 891?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.5 (b) 4 (c) 0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 s when four letters picked without replacement from ssssuususuuu?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 9, -0.4, -15?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -625 + -60284?\nAnswer: -61020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggqm when four letters picked without replacement from mfgmmggngqm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 3*g + 121377 = 121398, -4*g - 12 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 6*c**2 - 9*c + 18. Let g be l(6). Factor 500*q + 5*q**3 - g + 140*q**2 + 312 + 335 + 13.\nAnswer: 5*(q + 2)**2*(q + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-99310)\/4*(-26)\/(-455)*-7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 6*q**2 + 5*q. Let h be m(5). Let d = 16 + h. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 493 - 909 + 532 + (-x**2 - x**2 + 0*x**2)*(4*x**2 - 2*x**2 + 0*x**2).\nAnswer: -2*x**4 + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14a1 (base 11) to base 12\nAnswer: -1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -825 divided by 190539.\nAnswer: -275\/63513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 + 78. Let h = m - -34. Suppose 5*s - 7 = 13, 3*l + 5*s - 14 = 0. Sort l, h, -7 in descending order.\nAnswer: h, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h + 2*h**3 - 4*h**3 + 5*h**3 + 18*h**2 = 0. What is h?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {n: 6, s: 4, q: 9}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 + q**3 - 369 + 181.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.79?\nAnswer: 0.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Let r = -83 - -140. Suppose v*l - r = -3*l. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 189?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000776262507 rounded to six dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 63700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by -227\nAnswer: -147\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*o**2 + 2*o + 4*o**3 + 18*o**2 + 4*o**4 + 6*o**2 - 2 in the form s + a*o**3 + v*o**4 + w*o + d*o**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 3190419.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-12)*816\/(-4488)*-9. Factor 5\/6*m**l + 1\/2*m - 8\/3*m**2 + 0.\nAnswer: m*(m - 3)*(5*m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(72) + sqrt(72)*-1 + 0 + ((sqrt(2)*-2 - sqrt(2))*4)**2 + -1.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2136 and -4499.5.\nAnswer: 9610932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -649 - -654. Put -3, 2\/9, -2\/9, f in decreasing order.\nAnswer: f, 2\/9, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2, -0.64, 310, -3 in descending order.\nAnswer: 310, 2\/3, -0.64, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6479 to 2 dps.\nAnswer: 3.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/63*9\/15*(-28350)\/3780?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*u**3 - 17*u**3 - 17*u**3 - 2*u**3 + 2*u**2 as a + h*u**3 + x*u**2 + t*u and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 4. Let j(c) = 8683*c + 9. Give -j(h) + 2*y(h).\nAnswer: -8681*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/150 and -53\/28422.\nAnswer: 710550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 310, 467, 622, 775, 926?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8725\/6 + 1473. Find the common denominator of o and 139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 73*a - 34. Let z be t(7). Let k = 16697\/35 - z. Are k and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 20 = -2*y, -2*f = y + 7 - 11. Let n = -217 - -219. Solve -4*w = -4*v + 20, 4*v + 2*w = -n*w + y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(2187)*-2*4 + sqrt(2187)))\/(2*4*(sqrt(144) + sqrt(144)*3 - sqrt(144))))**2.\nAnswer: 11907\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 1. Let u(d) = -3*d**2 - 16*d + 14. Let m(v) = -o(v) - u(v). Let b be m(-12). Let j = -46 + b. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/5, -5, 10135?\nAnswer: 10135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/3, 0.497827, 2\/33?\nAnswer: 0.497827","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4*q - 58*c**2*q + 306*c**2 + 321304*c*q wrt c.\nAnswer: 12*c**2*q - 116*q + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(207\/((-50922)\/(-656)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9039906 weeks to microseconds.\nAnswer: 546733514880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 6*r + 6. Let p = 141 + -104. Suppose 2*m + p = 49. Let i(z) = -z**2 - z + 1. Determine m*i(w) - f(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -5.84, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -749, -1\/5, 15\/2, 0 in descending order.\nAnswer: 15\/2, 0, -1\/5, -749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.09 - 2.09. What is the nearest to -0.1 in s, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t**2 + 13*t**2 - 35*t**2 to w*t**2 + n + z*t and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -648+11284684240\nAnswer: 11284683592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 22*s - 27. Let r be k(12). Let l be 7\/3 + 1\/r. Suppose 4*m + 0*m - 8 = 0. Solve 0*y - 15 = m*y - 5*t, 9 = -l*y - t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**3 - 3*w**2 + 3*w**2)*(-129*w + 23*w + 24*w) - 4*w**4 + w**4 + 2*w**4 as p*w**2 + g*w + b*w**3 + z + t*w**4 and give t.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 390*p**3 - 707*p.\nAnswer: 2340*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1189591332 by 1852946.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, n: 2, q: 2, f: 3, m: 2}. Give prob of picking 1 f and 2 q.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-6) + 3 + 0. Let n = -1.8 + -0.2. Which is the nearest to 0.3? (a) q (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2376.177 * 1.\nAnswer: -2376.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (13050\/360 + -24)*1\/(-4)*18\/(-21)\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from qqgwyjqjq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10001022, 10001025, 10001028?\n\"Answer: 3*w + 10001019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n. Let c(w) be the second derivative of w**3 + 5*w + 0*w**2 - 1\/4*w**4 + 0. Suppose 36 = -85*d + 91*d. What is d*p(q) + c(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + i + 4. Let g(p) be the first derivative of -p**2 + 33*p + 5. Let n = -76 + 92. Let l be g(n). Let y(h) = 1. Give l*r(z) - 4*y(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1815116*l**2 + 369040*l + 1?\nAnswer: 3630232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 9 = 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x**3 + 2*x + 4. Let p be d(-3). What is the tens digit of p\/(-9) - (-6)\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 31735*o**2 - 380100*o.\nAnswer: -5*o*(o - 6335)*(o - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q**3 + 0*q)*(-3*q + 5*q + 2*q)*(1 + 9 - 7).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 - 1554388*d**3 + 2416122054544*d**2.\nAnswer: d**2*(d - 3108776)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiwwwwiiiww. What is prob of sequence wi?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-20)\/(-25))*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/44))**(-4)\/(k*k*k*k*k*k**(1\/6)\/k)**(-18\/11))**(5\/2) assuming k is positive.\nAnswer: k**(80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15709423.\nAnswer: 37, 67, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67932.53 years in decades?\nAnswer: 6793.253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**4\/12 - 2*t**3\/3 - 3255000*t**2 + 22*t. Let b be l(0). Round b to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*6 + sqrt(1872) + 1*sqrt(1872))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 + 1328005*h**2\/6 - 220451320000*h\/3 + 1102240000000\/3.\nAnswer: -(h - 664000)**2*(h - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 4:14 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 76\/(-266) - 114\/(-7). Let c(n) = 6*n - 94. Let s be c(o). Solve -s*k - 8 = -a + 4*a, -2*a = k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 677\/5 - 135. What is the nearest to -1 in -1, x, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*q + 57*q - 59 + 40*q.\nAnswer: 256*q - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 9 + 21. Let i be 4 + (-9 + f)\/5. Solve 3*o - v = v - 5, 0 = -i*o - 3*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 3*u + 55 + 65 = 12*d, 3*u - 78 = 5*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 - (-30)\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -0*f + 3*z - 3, -3*f - 2*z = -7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-7) + (-741)\/(-65)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2 + 18*j. Let q(k) = 2*k**2 + 6*k. Let h(z) = -f(z) + 3*q(z). Let u(r) = 264*r**2. Calculate h(u(s)).\nAnswer: -69696*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 + 33 - o**3 - 3*o**2 + 4*o**2 - o**3 + 3*o**3 in the form u*o + x*o**2 + a*o**3 + l and give l.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/12 - d**3\/3 - 4*d**2 + 69*d. Calculate q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 10*s + 7. Let q be i(-9). Let m = q + 10. Suppose 0 = -2*y - 2*y + 16. Solve -y*b = m - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (-6 - (18 + -64))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 946 = -7*b. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)*x**(-2\/5))\/((x*x*(x**(-2\/5)*x)\/x)\/x)**31 assuming x is positive.\nAnswer: x**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wsswssw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -815, -865, -953, -1079?\n\"Answer: -19*r**2 + 7*r - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 0, g = 3*g + 3*r - 15. Let f = g - -2. Is (0 + f)*42\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -392*c - 10621. What is t(-27)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693264 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 - 6*d**2 + 5*d - 3. Does 3 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234313.\nAnswer: 53, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*r - 3*c + 1, -3*r = 5*c + 17. Let s be r\/((-1)\/((-8)\/4)). Suppose 0*p - 42 = -s*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 77*v**2 - 5*v. Let w be -16 + 10 - 3\/(0 - 3). Let y(m) = -115*m**2 + 8*m. Let n(l) = w*y(l) - 8*u(l). Let o(d) = -d**2. What is n(o(a))?\nAnswer: -41*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -17*l + 694. Let q(s) = 110*s - 4164. Determine -13*a(v) - 2*q(v).\nAnswer: v - 694","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (1 + sqrt(475))*-6 - (-2 + 3*(sqrt(475) + sqrt(475)*2 - sqrt(475) - sqrt(475)))) + -5)**2.\nAnswer: 540*sqrt(19) + 38511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mfmfmmfmfmmmmmmmmmfm.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:16 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, -3253, 4 in descending order.\nAnswer: 17, 4, -2, -3253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 2*v - 21, 3*v + 6 = -0*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 3*a**2 - 2*a. Let q be c(2). Let u = q - -10. Let p be u - (-2)\/2 - 5. Is p greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 1750 - 118 = 0. Let n = -194 + u. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -835*t - 1667. Let k be g(-2). Factor -3\/4*h**2 + 1\/4*h**5 + 7\/4*h**k + 0 - 5\/4*h**4 + 0*h.\nAnswer: h**2*(h - 3)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-90)*100\/(-8). Calculate the remainder when 148 is divided by ((-192)\/(-60))\/(-8) - 197\/w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1094725 * 12\nAnswer: -13136700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/120 + 275*f**2. Give o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 15. What is the third derivative of 3*u**k + 8*u**2 - 5*u**2 + 0*u**6 - 4*u**6 wrt u?\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/3 (c) -491\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 288212*n. Let p(b) = 19*b**2. Give p(w(r)).\nAnswer: 1578256981936*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175110 and 12?\nAnswer: 350220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1 - 8*r**2 + 5*r - 2*r**2 + 8*r**2 - 4*r. Let v(m) = -6*m**2 + 3*m - 3. Calculate -8*b(u) + 3*v(u).\nAnswer: -2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -112949 and -112960 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43183 at least 43183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/23))\/i**14 assuming i is positive.\nAnswer: i**(-297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let s = -1 - n. Suppose 2*x - 12 = -3*y + 9, -3*y - 5*x + 12 = s. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -860.2 - -861.2. Put 0.3, -3, -5, 0.1, w in decreasing order.\nAnswer: w, 0.3, 0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/3)*o**(1\/7))\/(o**(5\/3)\/o*o*o*o\/o**(-1\/6))*(o**(1\/2))**(2\/137)*o**(-4)*o*(o*o**(3\/2))\/o*o assuming o is positive.\nAnswer: o**(-7240\/2877)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwccccc. What is prob of sequence cc?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972bd (base 15) to base 6.\nAnswer: 14141354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222.99 - -222. Let m = c - 0.01. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-21))\/(30\/350). Solve -6*l + 4*l + 20 = -n*t, -4*l = 5*t - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/21)\/6 + (-153694)\/7. Let j be f\/(-18) - ((-376)\/72 - -5). What is j rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 32074 + 5*b**3 - 15969 - 16105.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.172 - -4.172. Let k = 67.05 + -0.05. Let r = k + -72. What is the closest to r in 2\/7, a, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h**4 - 10*h**3 + 10*h**3 + (-6*h + h + 3*h)*(-h**3 - h**3 + h**3) - h**4 + 2*h**4 + h**4.\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.4. Which is the closest to r? (a) 0.5 (b) 2\/11 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 29*u**3 + 98*u**2 + 20*u - 111. Let i = 94 + -96. Let a(z) = 7*z**3 + 24*z**2 + 5*z - 28. Let s(n) = i*t(n) + 9*a(n). Determine m so that s(m) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 3*a + 2. Let v be o(2). Suppose 21 = 3*t + 5*u, -3*t + u + 21 = 5*u. Suppose 3*x = -0*z + 4*z - t, 2 = 3*z + x. Solve -3*i + z = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y + 80 = 85*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6666 minus 4?\nAnswer: -3.3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 22*u**2 - 14. Determine y(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, -317, 14, -260 in decreasing order.\nAnswer: 14, 1, 0, -3, -260, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0047270044 + 555284\nAnswer: 555284.0047270044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114289712 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578062, 578054, 578048, 578044?\nAnswer: 578042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645257 = -21*n + 375217. What is the greatest common divisor of n and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**2 + 162*p + 2492. Calculate m(-17).\nAnswer: -2285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + 2 + -5 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 390187\nAnswer: -3\/390187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.754623 millilitres in litres?\nAnswer: 0.000754623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -52*d - 68. Let s(j) = -14*j - 17. Give -6*m(q) + 22*s(q).\nAnswer: 4*q + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 874 - 865. Solve 0*o + l = 3*o - 5*n, 3*n + 12 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 37 - 17 - 9)*(-3*d**4 + 3*d**4 - d**4).\nAnswer: 65*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 629370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3828801 weeks?\nAnswer: 231565884.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74590520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625604869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 7 = -6*u. Let p(g) = 6 - 1 + u - 2*g. What are the prime factors of p(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48312735.\nAnswer: 3, 5, 3220849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 20.8043km?\nAnswer: 2080430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.5377685 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11342 + -12105. Are -761 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let o(c) = 67*c**3 - c**2 + 1. Let x be o(n). Let g = x - -10. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9302770 divided by -5?\nAnswer: -1860554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 - (-1 - 13)) + (-20810 - -20837)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5279 - 1712. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93457*y - 420 = 93447*y for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by (-8)\/((-112)\/357)*(-4)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 80 = g. Suppose -j + 6 = -4. What is the least common multiple of g and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.625 + -0.375. Let z = 48.938 - -0.062. Let o = m + z. Which is the nearest to o? (a) 5 (b) 4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.2. Let v = 11286 + -11287. What is the third smallest value in -2\/19, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 73. Let q be 0\/v + 2 + 1 + -1. Suppose 3*s = s + z + 3, 5*z = q*s + 17. Sort s, 2, 8 in ascending order.\nAnswer: 2, s, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 36, 53, 56, 39, -4, -79?\n\"Answer: -d**3 + 2*d**2 + 26*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*-6*(-1)\/(-2). Let w = -18 + z. Let y(k) = -k**3 + 3*k**2 + 2*k - 3. What is the tens digit of y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -91. Let r be (-1)\/(2\/(-5))*(-96)\/z. Is r < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + -3)**2 + sqrt(32) + -3.\nAnswer: -20*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4491 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1) + (24\/3 - 6). Suppose m + 5*v = -a, -21 = -3*v - 24. Solve 4*n - m - 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*t**3 + 10*t**2 + 1024*t**3 - 7*t**2 - t**2 in the form j + b*t**3 + f*t + r*t**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -4.668789?\nAnswer: -7.668789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 60 + 17 = 0. Let v = o + 79. Which is greater: -4\/9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79729936*y**2 + 25791816*y wrt y?\nAnswer: 159459872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.1, 9\/8, -5, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 9715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a. Let k(x) = 9*x**2 - 5*x. Let f(y) = 2*y**3 + 2*y**2 + y + 5. Let l be f(-2). What is l*o(n) + k(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0680231 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 1 - (12 + -17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 + 99. Suppose 0 = 4*t + t - 55. Let o = t - g. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 11 = -25. Let k(b) = b**2 + b + 1. Let x be k(-2). What is the highest common divisor of y and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 12. Let d be u(-4). Suppose 0 = 3*k + 6, -436 = -d*b - 3*k + 790. What is the highest common divisor of 28 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 35*s**2. Let z(c) = 1 + 13225*c**2 - 1 - 13233*c**2. What is y(z(q))?\nAnswer: 2240*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 12 = -o. Let z be (-2)\/1 - (4 + -1). Let b be (-24)\/(-10) - (-2)\/z. Sort o, b, -5 in ascending order.\nAnswer: -5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-47.075\nAnswer: 23.5375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215157.\nAnswer: 3, 71719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142 + 139. What is the second smallest value in -2, -0.5, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = v - 25 - 2, -2*v + p + 60 = 0. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 1. Let o(r) = -4*r - 5. Let w be (0 + 3 - -10) + 1. Suppose 4*d + 5*z + w = 2*z, -2*d - 2*z - 6 = 0. What is d*g(q) - o(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/((-6)\/(-4)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.073 - -0.07298668. What is d rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**9\/1008 - w**6\/90 - w**3\/2 + w. Let l(x) be the second derivative of p(x). Find the third derivative of l(m) wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134542823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64221 or -64222?\nAnswer: -64221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 1, r: 6, e: 2, n: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2492 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140102 (base 10) in base 2?\nAnswer: -1111110010110001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -14156\nAnswer: 5\/3539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001101001101 (base 2) in base 8?\nAnswer: 101515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105.797 + -0.297. Let k = c + -106. Let d be 1\/(-4) - 21\/12. What is the nearest to d in -4, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/21*(-7)\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 6*u**2 + 2*u - 10. Let z be m(7). List the prime factors of ((-32)\/12)\/(6\/z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**3 - 2*v + 1. Suppose 0 = 3*s - 12 - 6. Suppose -s = 5*z + 9. Let a be z\/2*(-8)\/12. Determine c(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 16, 28, 48?\n\"Answer: 4*d**2 - 8*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 9, 379?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(4*(sqrt(8)*2 - sqrt(8))))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + t. Suppose 0 = -4*n - 3*a - 7, -5*n - 3 = -2*a - 0*a. Let g be r(n). Suppose -v - 3*l = -4, -2*v = -g*l + l - 28. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -3. What is the third smallest value in -3\/7, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108979920.\nAnswer: 2, 3, 5, 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = -44*w + 10*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1722 and -0.021?\nAnswer: 0.1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647787?\nAnswer: 3, 7, 109, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 71 = -61, 0 = -5*y + 3*l + 5. Let i(t) be the first derivative of 21 + y*t - 9\/2*t**2. Let z(w) = -w. Calculate i(z(n)).\nAnswer: 9*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10811 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2 - 369*z + 12684 = 0.\nAnswer: -151, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4667*s - 7961 = -4838*s + 1444 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*x = 3*y - 17, -24 = -4*y + 2*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.4 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2011132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 644.5 - 673. Is -0.1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -4, 0.5, 6\/17, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 11210112001002221?\nAnswer: -11210112001002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (39\/2)\/(3\/(-4)). Let a = 67 - 65. List the prime factors of a\/(((-10)\/c)\/5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/8 and 41\/472.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 67 - 3 = 0. Let r be ((-16)\/q)\/(12\/(-30)). Suppose -r*u + 274 = -2*u - 2*a, -u - 2*a + 125 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -73 (b) 4 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3558*l - 28470. Determine c(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174423\/20 - 8726. Find the common denominator of (62\/(-7))\/(12 + (-1417)\/91) and p.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 30. Let x(t) = t + 10. Let s(w) = -6*p(w) + 17*x(w). Let l be s(-11). Let r = 11\/21 + -538\/987. Is l equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1777709 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 508270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4778\/7 - 681. Is f not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8235 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226*n - 1225*n - 3*m + 4 = 0, -4*m = -2*n - 10 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 16 = 4*s + 34, 0 = -3*s. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 5, 8 in ascending order.\nAnswer: 0, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-116)\/6)\/((-34)\/14331) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -p + 44 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + 48 + -35 + (-21 - -1) - 6) + 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**3 + 9*r**3 - 5*r**3 + (2 + r - 2)*(3*r**2 + 3*r**2 - 5*r**2) in the form m*r**3 + w*r + o + s*r**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -118, -135, -180, -265, -402?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((6\/2)\/(-3)). Suppose 5*c - 15 - 3 = 2*w, 0 = 2*c + w. Solve -t + b*t = c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8134.8 + -7200. Let c = -935 + i. Which is smaller: -104 or c?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -25*n**2 - 112795*n - 765850 = 0.\nAnswer: -4505, -34\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14788 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 j when four letters picked without replacement from fxjyyxyyyjyayyyhyfa.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 4}. Give prob of picking 2 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1031820145 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/2)\/(-11))\/((-4)\/(-60)*5).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 4*a**3 - a**3 + (-1 + 2 + 4)*(5 + 8 - 1)*(-5 + 3 + 3)*(2*a**3 + 11*a**3 - 5*a**3).\nAnswer: 481*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/20 - (-44)\/10. Suppose 2*m - 3 = -r, -u*r - 4*m + 3 = -1. Put 0, 1, r in descending order.\nAnswer: 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3580481 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*n = 13, 18*n - 11 = c + 21*n. Solve 0 = 5*h - 3*h - c*p + 14, -7 = 2*h + 3*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -0.062?\nAnswer: 0.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489327 is divided by 50?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 4 = 4*p. Suppose -2*u + 2*h = 3*u - 44, 0 = 2*u + p*h - 26. Solve 3*k = k - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -164, -529, -1216, -2327, -3964, -6229, -9224?\nAnswer: -13051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 2*b, 3*d + 3*b - 8*b = 21. Let z = -453 - -457. Solve z*s = d*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69526495*l**4 - 95424383*l**2 wrt l.\nAnswer: 1668635880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378 and 17262.\nAnswer: 51786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 285 + -2c6076?\nAnswer: -2c5ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:49 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2328875 and 124.\nAnswer: 9315500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/6))\/l**(-1))\/(l**(1\/4)\/l)**(7\/12) assuming l is positive.\nAnswer: l**(125\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(2560\/16)\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -38566, 0, -136 in descending order.\nAnswer: 0, -136, -38566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5 - 476*g**4 + 18*g**3 + 4284*g**2 = 0.\nAnswer: -238, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*l - 27 = 2*v + v, 3*l = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:01 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 1 - 3)*(-2 + 3 - 3) + 4 - 1 - 1 + 2 - 1 - 7)*((-t**2 - 4*t**2 + 4*t**2)*(-4 + 2 + 0) + t**2 - 4*t**2 + 4*t**2).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + -37. Let n = 116.6 - h. What is the third biggest value in 0, n, -2\/37?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6 and 11\/23702.\nAnswer: 71106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 0*s - 5*s - 2*s. Let x(i) be the first derivative of -2*i**3\/3 - 1. Calculate r(x(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.5 (b) -5 (c) 65294 (d) -2\/3 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-6)\/9) + 4. Let b = f - -3. Suppose -h + 15 = b*s - 2, 0 = 3*h - 2*s - 107. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000211146 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:44 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -280 or -279?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/5, -8\/11, -0.4, 3.\nAnswer: -5, -8\/11, -3\/5, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36184a6a - -5?\nAnswer: 36184a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -126*v**2. Let r(n) = -9*n. What is r(q(x))?\nAnswer: 1134*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/8)\/((-4)\/16). Let v(t) = t**2 + t - 1. Let w be v(n). Suppose 46 = 3*p + 1. Solve -2*g - p = -w*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42418604 and 42418604.\nAnswer: 42418604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 238, -9, -1, -6 in descending order.\nAnswer: 238, 5, -1, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 17 (c) -0.2 (d) -0.02237\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 2*d + 20. Let h be a(-7). Let v be 70\/h - 12\/9. Let s be 7\/((-28)\/v)*56\/6. Solve -4*n + 0*o = -5*o + s, -7 = -3*n - 5*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 19. Let t be g(-16). Solve 0*v + v = -a + t, v - 19 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 11*y + 10. Let x be g(1). Is ((0 + -3)\/x)\/1*-6709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 2:31 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2\/5*i**3 + 6*i**2 + 144\/5*i + 152\/5 = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/21 and 38\/45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 14. Let u(z) = 8*z. Let x be u(-1). Let s(a) = -2*a + 9. Let p(i) = x*s(i) + 5*y(i). What is the first derivative of p(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47759.9*-14\nAnswer: 668638.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11185728?\nAnswer: 2, 3, 17, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/352934 - 14073845\/3071584602. Let b = -206284\/8137305 + i. Let h = b - 19149\/3740. Find the common denominator of h and -101\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6312460 is divided by 4852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-12)*v)\/((v**(2\/7)*v)\/v)*v*v**1*v**10\/v assuming v is positive.\nAnswer: v**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - -1*sqrt(136))*-4 - 5*sqrt(136)*-2)\/((sqrt(392)*1 - sqrt(392) - sqrt(392)) + sqrt(32)*-4).\nAnswer: -2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 1340 + 200 = 0. Let m = -79 - t. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 16. Solve 4*z + 2*i + 0*i + 16 = h, 0 = 3*z + i + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198290\/31 or -6396?\nAnswer: -198290\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -7 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*o - 42. Suppose -2*t + o - 6 = 0. Solve -5*x - t = -v, -v - 3*x = x + 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(3 + (-20)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4820269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:05 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30044?\nAnswer: 2, 7, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 - 2*y**2 + 1. Let i(w) = -587*w**3 + 8*w**2 - 4. What is -i(a) - 4*q(a)?\nAnswer: 603*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5725 and 2519.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) 4 (b) -1\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0401 and -0.1?\nAnswer: -0.00401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -8, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -2 + 2)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71b0a798 - -5?\nAnswer: 71b0a7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/(-6) + 6\/18 + 217.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3041 - -18?\nAnswer: 3059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 divided by 3?\nAnswer: 217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 0.4, -209.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 q when three letters picked without replacement from tbbnqtbnqb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*o + 34. Let l = o - -10. Suppose 16 + 5 = l*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*p = -1169*p - 120168 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -12\/289 (c) 0.4 (d) 0 (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 28*w**3 - 13*w**3 + (0*w**2 + w**2 + w**2)*(-2*w + 5*w + 0*w).\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j + j + 0*j)*(-j + 2*j + j) + 2*j**2 + 3*j**2 - 3*j**2 - 2*j + 2*j + 2*j**2 as c + s*j + p*j**2 and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.5177 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*m + 7*m. Let n be -5*m\/6*2. Suppose 3*p - 10 = -n*z, -4 + 20 = -z + 3*p. Which is greater: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 53 = 2*l - p, 5*l = -3*p - 477. Let j = l - -328. Is 40 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*(-1210)\/(-3751).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*u = 78*u - 6. Solve u + 3 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/2 (b) 3\/2 (c) 0.04 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8)*2*-49*116\/1015*-1?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*(-4 + 17\/5). Let n be ((-12)\/14)\/(t\/3). Put -2, -1\/4, n in descending order.\nAnswer: -1\/4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/9*14\/(-42).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r + 13*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = 11*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 31425*l + 660366. Give q(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11962 + 32938 = 635*x - 185 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 26*z**2 - 599 - 6*z**2 + 594 in the form i*z**2 + u*z + a + p*z**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 5508, -0.078 in descending order.\nAnswer: 5508, 0.6, -0.078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + i**3 + 0)*(-5 + 1 + 2 + (10 - 5 + 6)*(-4 + 1 + 2)) to the form q + p*i + r*i**2 + v*i**3 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 b when three letters picked without replacement from {b: 4, k: 3, h: 2, j: 4, n: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 - 301. Which is smaller: s or -88?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o - 140*o + 67*o + 37*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10535, 10568, 10601, 10634, 10667, 10700?\n\"Answer: 33*q + 10502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492274 by 40.\nAnswer: 246137\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 30, -0.5, 27, 0.3, 12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 9. Let f be o(4). Solve 4*l + f*k - 2*k - 23 = 0, k = 3*l - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*d - 3331 + 11420, 3*m = -4*d + 8103. Calculate the smallest common multiple of d and 15.\nAnswer: 10155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*n + 2, -3*u + 2*u = -4*n - 1. Let j = 4.975 - -0.025. Which is the nearest to u? (a) 1\/2 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c91 (base 13) to base 15.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 + y**3 + 2*y + 3 + 2*y in the form u + n*y**3 + a*y**2 + x*y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**2 + 5*u + 5. Let g(f) = 33*f**2 + 21*f + 21. Suppose -w - 2*w - 15 = 0. Let d(z) = -5*z + 11. Let h be d(-2). Calculate h*r(a) + w*g(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = -1958209 - 6729791. What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 38, 32, 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from layralyr. Give prob of picking 2 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from ttttttttatat.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f. Let v(z) = 33*z. Let x(b) = 10*n(b) + 3*v(b). Let c(l) = 5*l + 14. Calculate -c(r) - 6*x(r).\nAnswer: r - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*-1)\/(sqrt(7) + (sqrt(42)\/sqrt(3))\/sqrt(2)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -141, -144, -147, -150, -153, -156?\n\"Answer: -3*l - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 4 - 4 - 2)*(840 - 928 - 1392) to the form w*m + t and give w.\nAnswer: 1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24645057043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(0 + 2\/(-44)). Let y = c + -18. Calculate the lowest common multiple of y and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - 4*u)*(-13 - 22 + 8) - 3*u + 10*u + 0*u.\nAnswer: 61*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3\/3 + 2*d**2 + 22*d - 22. Let k be s(-8). Suppose 10 + k = 4*n. What is the highest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*i + 2*i**2 + 33*i**4 + 0*i**2 - 2*i**2 wrt i.\nAnswer: 396*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (51 - 45 - (6 + -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -24*z + 606. Let c be l(25). Solve -2*q - 16 = 2*f, -5*q = f - c*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let o(f) be the third derivative of -565*f**4\/2 - 39*f**2 + 2*f - 3. What is k(o(r))?\nAnswer: -6780*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1477482?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:58 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-4*(-3)\/144 - (-45)\/(-54)). Sort -1, -3, -7, -0.055, i.\nAnswer: -7, -3, -1, i, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301 - 352422?\nAnswer: -353123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1434 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-9)*-3)\/((-96)\/8).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:49 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*22\/275 + (-12)\/55.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uppp when four letters picked without replacement from ppuppfppufupuu.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16357936 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535370, -535371, -535372, -535373?\nAnswer: -535374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from xxxxlxlx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m + 8. Let x(h) = 16*h + 14. Let l(w) = -7*t(w) + 4*x(w). Let d = -11 + 14. Let p(j) = 10*j + d*j + 12*j - 4*j. What is p(l(g))?\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.569.\nAnswer: 1.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*i + 760 + 446 = 120*c + 255*i, -2*i - 43 = -4*c - 0*c - i for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 - 3*i**5 - i**5 + 4*i**5 + 3*i**3 - 3*i**3 + (2*i**2 - 1 + 1)*(i**3 + 2*i**3 - 2*i**3).\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3, -200364.\nAnswer: -200364, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10150*m**2. Let d(o) = 80*o. What is d(g(x))?\nAnswer: 812000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + 56\/6)*6. Suppose -6*j + m = 80. Let 2\/5*f**2 - j*f + 0 = 0. Calculate f.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 7:56 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15938 - 15934. Solve 16*g = -d + 19*g + 7, d + 14 = -k*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003114 rounded to seven decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*r = -414*r + 4*g + 4, r - 4*g = 22 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**3 - 14*x**2 - 14*x - 8. Suppose 9*y + 105 = 33. Let q(f) = -30*f + 23*f + 7*f**3 + 5 + 9*f**2 + 16*f. Determine y*q(g) - 5*s(g).\nAnswer: -g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**7\/315 - f**6\/90 - 4*f**5\/45 + 320*f**2. Determine d, given that z(d) = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 5 - 16. Let d be x - (1 + (-28)\/4). Solve p = d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -289310 - -0.6.\nAnswer: -289309.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cfffcff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 568774046 + -568774107.0000119. Let b = x - -61. Round b to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 1, -0.1, 4\/5 in descending order.\nAnswer: 1, 4\/5, 0.31, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:28 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -59 (b) -0.2 (c) -0.08 (d) 17\/175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 43. Suppose g*b - 3*b + 3 = 0. Let o(f) = -2*f**3 + f**2 - 2*f. Let q(l) = l**3 - l**2 - l. What is b*q(p) - o(p)?\nAnswer: p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/(((-49)\/(-7))\/(-35)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.9. Let k = 4 - -14. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.041 - -529414\nAnswer: 529414.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.3468, 2\/3, 5 in descending order.\nAnswer: 5, 2\/3, 0.3468, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 377, 661, 923, 1157, 1357, 1517?\nAnswer: 1631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 3*v + 2*v)*(-4 - 5 + 13 + 9*v)*(0*v + 0*v - v**3).\nAnswer: -99*v**5 - 44*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 2*g**2 + 3*g + 1. Is f(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = 42*x - 408660. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 370 - 82. What is the first derivative of -13*n + 157 - 29*n - n - t*n wrt n?\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -16*b - 1. Let q be h(-1). Let t = 35 - q. What is the highest common divisor of 60 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - -36. Calculate the highest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 45. Let x = 71406404 - 71406382.00000064. Let f = x - r. Round f to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5681 and 73\/66654?\nAnswer: 16463538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -89268 (b) 6 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4*j - 3*j + 4)*(11 + 4 + 8) to the form k + y*j and give k.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001916889 rounded to 5 dps?\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 76986a?\nAnswer: -769871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**0)**43\/(t**(-3\/2)\/t*t**6)*t**(-1)\/(t*t**5)*t**(-4)*t**(-9) assuming t is positive.\nAnswer: t**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2222, 13\/34, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/((189\/(-6))\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*0\/(2 - 1). Let g = q + 1. Let k = 2 + 4. Solve u = k - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**3\/15 + 4*s**2\/5 - 8*s\/5 + 314. Suppose y(g) = 0. Calculate g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3238, 26461, 89522, 212341, 414838?\nAnswer: 716933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 20100*t + 4*t**2 + 74 - 13*t**2 - 27*t**2 + 20139*t.\nAnswer: -(t - 2)*(t + 1)*(t + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*p - 223*p - 400 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7482300 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 4:51 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346769?\nAnswer: 19, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 0. Suppose -3*j + f = p, -5*j + 3 = p - 5. Solve 3 - p = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12167*j**4 - 8*j**3 + 18956022.\nAnswer: -48668*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:57 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542461 is divided by 542461.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Suppose s*p - 2*o = 2, -4 + 0 = -o. Calculate the smallest common multiple of 7 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -668*m + 71470. Determine o(107).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*t - 0*t - 18, -4*t = b + 13. Solve 0 = 3*j - b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467978 is divided by 489296.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i + 122. Is 13 a factor of l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/24)\/(2\/1986). Let p = l - -60. List the prime factors of p.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1484160 - -145840. Round o to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26458 - -297?\nAnswer: 26755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Suppose 0*u + 300 = y*u. Suppose 0 = -5*w, 3*d - u = -0*d - 2*w. What is the greatest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(26\/(-13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 16*d - 87. Let h be (7 - 21)*112\/d. What is the greatest common divisor of 49 and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 13*l**2 + l - 7. What is the units digit of g(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -64\/3, -36.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712270 times 0.2?\nAnswer: 342454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 60 = -3*i + f, -5*i = -2*f - 101. Let y(k) = 2 - i*k - 3 + 35*k - 18*k. What is y(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -7*h**6\/15 - 23*h**5\/10 - 9*h**4\/2 - 13*h**3\/3 - 2*h**2 - 62*h. Factor c(p).\nAnswer: -2*(p + 1)**3*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 2*h**2 + 10*h - 11*h + 34*h**3. Is v(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Let a = -1472\/3 - -42712\/87. Let v = a + 60\/203. What is the closest to -1 in v, n, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -0.047?\nAnswer: -0.00611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 14*f. Suppose 5*z - 9 - 16 = 0. What is the tens digit of j(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + w + 13, 0 = 3*q - 4*q + 2*w + 6. Suppose -41*r + 39*r - 8 = 0. Let g be q\/8 + (-38)\/r. Solve 2*c = -2*m + c + g, -c - 11 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -65*h**2 + 3*h - 2. Let f(o) = -259*o**2 + 14*o - 9. Calculate 2*f(a) - 9*p(a).\nAnswer: 67*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7411\/42 + -2461\/14. Let z(v) be the first derivative of 23 - w*v**3 - 14*v + 8*v**2. Let z(k) = 0. What is k?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*f - 7 = -2*f, 0 = 4*c - 5*f - 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f = 12. What is the greatest common factor of 12 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/4 - n**4\/4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*o + 18973, 4*o + 1363 - 20329 = -6*l. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 19688.\nAnswer: 29\/19688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (642 + 404300)\/(4\/6 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 3802*r**2 + 28*r**3 + 3803*r**2 - 28*r + 0*r**3.\nAnswer: -r*(r - 28)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j**3 + 6 + 3*j**3 + 3*j**2 + 3*j**3 - 3*j + 6*j**3. Let a be b(3). List the prime factors of (95\/20)\/(a\/(-36)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 10*q = 988139. Suppose -4*r + q = -5856849. Let p = r + -2931247. What is p rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 6. Let z(a) = -1. Let r(d) = b(d) - 2*z(d). Let t be (0\/2)\/(2\/(-1)). Suppose -2*f + 7*f + 35 = t. Calculate r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -3*j**2\/2 + 9. Let m(n) be the third derivative of -3*n**5\/20 - 118*n**2. What is z(m(v))?\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, 51, 160, 311?\n\"Answer: 21*i**2 + 4*i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-15))\/((-4)\/(-6)). Let g be (2 - 1) + 2 + u. Suppose -4*n + 34 + 86 = g. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 42*g**2 + 114*g + 37. Let y be m(44). Let z = 2116 - y. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 6 - -3) + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 526875?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4754 - 2052. What are the prime factors of v?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13*b + 496000 = 0. Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*b + l, 0*l = 3*b + 4*l - 14. Let q(s) = 25*s + 34 - s**3 - b*s + 14*s - 4*s**2 + 17*s**2. Is q(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 5 + 3 - 46*f + 2*f**4 + 52*f + 6*f**3 in the form k*f**4 + i + j*f + y*f**3 + x*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 15 - (11 - (-2 + 21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -12, -127 in decreasing order.\nAnswer: 1, -4, -12, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = -t, -3*g + 1 = 10*t - 14*t. Solve g*s = 3*s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1771*g**2 - 1694*g + 5. Let f(a) = -886*a**2 + 846*a - 3. Let j(p) = 5*f(p) + 3*i(p). What is the second derivative of j(q) wrt q?\nAnswer: 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574848 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 692 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 3*z = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102551049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10388 and 590842?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35835105.\nAnswer: 3, 5, 641, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01241 times -0.0209?\nAnswer: -0.000259369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706602862 to the power of 1\/2, to the nearest integer?\nAnswer: 26582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53412 is divided by 1907.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-825)\/195 + (-16)\/(-4) - (-6467)\/1885\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 > -137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 1. Let t = k - -8. Let h be (3 + -7)\/(1 - t). Which is the nearest to 2? (a) 2\/7 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41243360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.2 - -34.8.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -14\/5, 1\/6, -101959, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2639491553.\nAnswer: 17, 155264209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 - (16 - 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 591865, 591866, 591867, 591868, 591869, 591870?\nAnswer: 591871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17195550?\nAnswer: 2, 3, 5, 29, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, 74\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 25 + 21 = -9*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (-36 - (-53 + 40))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1065 and 59505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/16)\/(29\/116).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5872733 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 21853 = 5*v, -3*v - 5*m = -207 - 12901. Suppose 0 = -2*g - 3*c + 1753, -4*c + 8*c = 5*g - v. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/5)*v**(8\/5)*v)\/((((v*v**(-27)\/v*v)\/v)\/v*v)\/v**7))**(-1\/6) assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 89.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/(8\/(-72)). Let b be (12\/(-3) - u) + 3. Solve 0 = 4*k - 4*p + 4, -3*k + 16 = b*p - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2173*m**2. Let t(x) = -x + 38 + 39 - 77 + 4*x. Determine f(t(q)).\nAnswer: -19557*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -371 + 197. Let r be 6*5\/((-90)\/(-183))*4. Let y = r + d. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 138 = 3*y + 5*a, 2*y - 178 = -5*a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-3)\/(-4) - (-2 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.726485 rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/(sqrt(72)\/sqrt(2)))\/(-6*sqrt(9)\/sqrt(3) - 1*sqrt(9)\/sqrt(3)) + 0)**2.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**2 + 49*o - 6. Let w be p(8). Find the first derivative of 19 - 31*v**2 + 9*v**w + v**3 - 43*v**2 + v**3 wrt v.\nAnswer: 6*v**2 - 130*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (375\/(-15))\/(-400)*4\/5\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 2*b + 2*b + (-2 + 15 + 1)*(4*b + 0*b - 5*b) to u + m*b and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50478.42971351 and -12?\nAnswer: 50466.42971351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/120 + z**4\/24 - 4*z**2. Suppose 2 - 6 = 2*c. What are the prime factors of k(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:23 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1799*s**2 + 39 - 158306*s**2 - 13 - 9 - 17 + 0*s**2 + s**2 - 3*s**2 + (s - 3*s + s)*(-2*s + 4*s - s).\nAnswer: -160108*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*a**2\/2 - 1043*a\/8 - 5\/4 = 0. What is a?\nAnswer: -5\/524, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1822.788161 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52804 - -52800. Let q = -0.5 + 2.5. Let h be (-2)\/((-3)\/((-9)\/(-14))). What is the closest to 22 in i, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -423119, -846249, -1269385, -1692527?\n\"Answer: -3*i**2 - 423121*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8036)\/(-80360)*(-30)\/8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1222 + 3665\/3. Let k = -84 + 95. Let b be (-4)\/(-10) - (-7)\/(-5). What is the nearest to p in b, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 457*y**2. Let h(b) = -22818*b + 22818*b - 2*b**2. What is h(d(a))?\nAnswer: -417698*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 3\/2*i**2 + 3*i - 1\/6*i**3 + 2. What is c(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192\/5*t**2 - 32\/5*t**3 + 2\/5*t**4 + 512\/5 - 512\/5*t.\nAnswer: 2*(t - 4)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - 53)\/(1\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53784 - -2312930\/43. Which is smaller: p or 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2 - (8 + (-4 - 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 177\/803437?\nAnswer: 177\/803437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooaosmsoozmsg. Give prob of picking 1 s, 1 o, and 1 z.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 4*l - 4. Let v = -7 - -5. Let o be g(v). Solve o*p + 3*p - 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1352122520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 522601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d6 (base 14) to base 11.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (11 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -4, -0.04, -2\/5, -0.2, 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1 - 8*c + 3*c**2 - c**3 + 5*c**2 + 5. Let o be p(6). Suppose 18 = -67*s + 70*s. Calculate the highest common factor of s and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 5, -0.5, -46, 3, 19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*j**5 + 2*j**3*q - 2*j**2 + 2*j*q - 2*j wrt j?\nAnswer: -5340*j**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + u - 5*u)*(0 + 3*u + 0) - 20 + 20 + 4*u**2 as w*u + q + b*u**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-318 - 17*y**2 + 318)*((-y + 0 + 0)*(-2 + 4 - 1) + 0*y + y - 3*y) in the form r*y**2 + v*y + t*y**3 + p and give t.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 2*i + 45, 0 = -63*q + 60*q + 2*i + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - -6 - 1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**3 - 6*z**2 + 4*z - 4. Let j(b) = b**2 - 44 - 43 + b**3 - b + 126 - 38. Calculate 4*j(t) + o(t).\nAnswer: -5*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p. Let a(n) be the second derivative of 1\/20*n**5 + 0*n**4 + p*n**3 - 3*n + 0 - 1\/2*n**2. Differentiate a(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**2 + 0*w**6 + 9*w**2 + 2*w**6 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 53 = 3*t. Let h(c) = -595*c - 9. Is h(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttytykkt. What is prob of picking 1 y and 2 k?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 - 2 = -4*k, 3*b = -5*k - 8. Let l(q) be the third derivative of q**5\/60 + q**4\/24 + q**3\/3 + q**2. Is l(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703259.\nAnswer: 37, 83, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14081808613 + 1.3.\nAnswer: -14081808611.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -7*u**6\/15 - u**4\/6 - 11*u + 21. Let f(h) be the first derivative of c(h). Find the third derivative of f(y) wrt y.\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*y - 2*y. Suppose 0 = -4*g + 6*g - 2*a, -3*g = 2*a. Solve 0 = -y*w - 5*z - g - 20, -4*z - 20 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1\/1) + -29 + 28\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 4) + 27\/(-3). Let d = -7 - i. Suppose -4*u = -y + 4*y - 217, d*y - 276 = -2*u. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5183 + 0.51832851. Round b to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-136) - (-23)\/42?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2)*((-3)\/5)\/(25\/((-7500)\/(-90))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 123964928.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (96\/9)\/4)*(-10428)\/1580?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -12, 4, 18955 in descending order.\nAnswer: 18955, 76, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 11. Let m = w + -10. Suppose 5*f - 4*q - 17 + 2 = 0, -m*q = 0. Solve 0 = t - f*t - 6, 5*a = -5*t - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-32) - 9\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118655881 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -3, 39, -27.\nAnswer: -27, -4, -3, -2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18907, 18903, 18897, 18889?\nAnswer: 18879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 6 - 4. Solve -g - 1 - z = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 2*u**2 - 3*u - 2. Suppose -a + 0*a + 5 = 0. Suppose 3*x + 3*s = -0*s + 9, s - 15 = a*x. Determine r(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 6, b = 3*b - 5*c - 40. What is the least common multiple of 10 and 5\/(b\/4)*3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p**2 - 7128*p - 21387. Give d(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -6, -37, -98, -195, -334, -521, -762?\n\"Answer: -j**3 - 6*j**2 + 18*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 3a?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 28880*m - 579600.\nAnswer: 5*(m - 20)*(m + 5796)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2 - (-4 - -1)). Suppose 4*w = w + 12, l*w + 16 = -4*q. What is the lowest common multiple of 6 and 16\/(-56) - 72\/q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4049679 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 34142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**5\/3 - 20*u**4 + 5*u**3\/3 + 20*u**2 + 20*u\/3 = 0. Calculate u.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*h**2 + 4 - 4)*(53*h + 15*h + 131*h) as u*h**2 + r*h + w*h**3 + v and give w.\nAnswer: -2189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-18))\/((-12)\/(-36))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3416, -6822, -10228, -13634, -17040?\nAnswer: -20446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + -1*1*(0 + (-4 + -2*sqrt(147))**2).\nAnswer: -604 - 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:54 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*m*p + 20*d**3*m + 83*d**3*p - 49*d**3 - 20626*d**2*m*p - 2*d**2*p + 57*p wrt d.\nAnswer: 6*m*p + 120*m + 498*p - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + f**2 - 3)*(1 + 26 + 0)*(-11*f**2 + 11*f**2 - 9*f**3).\nAnswer: -243*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwwwcswgswswfswswws. Give prob of sequence ssc.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 7 = -11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -185 - 2. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 270 - 248. Put 4, b, -2, -3 in descending order.\nAnswer: b, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjdsftjdd. What is prob of picking 3 d?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -5. Let l = 13 + u. Suppose 0 = 3*o - 2*o - 3*a - 30, 2*a = 0. Solve -l*q + 4 = 3*g, g - 5*q = -4*g + o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z - 75 = 11*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 17*b**2 + 28*b + 33. Let m be j(-13). Let a = 433 - m. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753380.015 rounded to the nearest 10000?\nAnswer: 2750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - o + 1. Let j(k) = -5*k**2 + 8*k + 2. Let q(v) = 4*f(v) + j(v). Suppose 0 = s - 3, -5*s = -4*b - s - 8. Let t be (4\/(8\/10))\/b. Determine q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06453915 * 0.3\nAnswer: 0.019361745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -3\/7, 0.06, 2, 0.74, 0.8, 3\/8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -16*s**3 - 9*s**2 - 5*s + 7. Let z(j) = 5*j**3 + 3*j**2 + 2*j - 2. Let o(f) = 3*u(f) + 8*z(f). Is 15 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/10 - ((-42)\/7 + 9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029436?\nAnswer: 2, 507359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6198827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -365?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33538884.\nAnswer: 2, 3, 2794907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19610 and 6919.\nAnswer: 3667070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -570, -4562, -15416, -36564, -71438, -123470?\nAnswer: -196092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 915 (b) 1.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 140*y + 1 + 94*y)*(-2*y - 2*y + 3*y) - 3*y**2 - 2*y**2 + 2*y**2.\nAnswer: 43*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -33*w**3 - 7*w**2 + 7*w + 7. Let g = -1426 - -1428. Let f(o) = 11*o**3 + 2*o**2 - 2*o - 2. Give g*q(c) + 7*f(c).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*r**3 - 4*r**3 - 28*r**3 - 44*r**3 + 2*r**3 + 6*r**3.\nAnswer: 67*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Let f = 0.03 - 0.33. What is the closest to 1\/2 in f, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9053.368 tonnes?\nAnswer: 9053368000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 12537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/3 - 57136*o**2 - 914048*o - 10968064\/3 = 0. Calculate o.\nAnswer: -85688, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + x + 2. What is the remainder when 49 is divided by i(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - 59*v - 50*v - 10*v to d*v + c and give d.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.2542205281459?\nAnswer: -0.2457794718541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -130*s**2 - 3. Let j(k) = 5590*k**2 + 130. Determine 3*j(x) + 130*t(x).\nAnswer: -130*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1989*p + 1989*p + p**3 - 3*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.026258 times 2\nAnswer: 0.052516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44820 divided by 1245.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5 = 2*h, -197*h + 5*s = -192*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -3142004?\nAnswer: -3142000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 103*d**2 - d + 27. Let p be z(6). Suppose -p + 1555 = -2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 + 28640*n**4 - 39616025*n**3 - 3995645070*n**2 - 108398908800*n - 515144448000 = 0. Calculate n.\nAnswer: -45, -6, 2912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 18, 3, -30, -87, -174, -297, -462?\n\"Answer: -u**3 + 4*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 156 = 146. Let h be (-2)\/8 - 4\/(-16). Suppose -2*w + 5*w + 15 = h. Sort -4, w, p in descending order.\nAnswer: p, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -1a556a7?\nAnswer: -1a55708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-3)\/15 + (-2780)\/(-25) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/3*6\/2. Suppose 0 = q*z - 2*z + 10. Which is the third smallest value? (a) 8 (b) z (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 5. Suppose -c + 6 - y = 0. Sort 4, c, -4 in decreasing order.\nAnswer: 4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.289 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233782*h**3 + 836*h**2*i + 10*h*i + 2330391*h - 3*i wrt h.\nAnswer: -1402692*h + 1672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - (-7 - -21)) + 5 + 34.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 2*c + 5*c)*(5 + 1 + 3) + (0 + 0 + 1)*(1 - 1 + c).\nAnswer: 109*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4)\/(-8) - (-65)\/(-52)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a + 111. Let l be t(-18). What is the remainder when 74 is divided by l\/6 + (-4)\/16*-90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**9\/(i*i**(-6)))**15)**(-8))**(-42) assuming i is positive.\nAnswer: i**70560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9904729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r = 2*b + 31*r + 2, -4*b - 7 = 5*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -233 - -133. Let g = 140 + s. Let z be 10\/12*75*g. What is z rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 4, 0 = -4*p + 5*h + 10. Suppose 4*t - 3*x - 19 - 1 = 0, 3*x = -5*t + 25. Let u = t + p. What is the greatest common divisor of 45 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t - 114 = -51 - 588 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 + 138. Let y = c + -223. 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: What is -456620 divided by 316?\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m + 4*m**2 - 1\/6*m**3 + 0. Let g be p(8). Solve g + 8 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i - 100 = 0. Suppose 0 = 5*t - 0*t - i. Suppose 0 = m + 1 - t. Solve 0 = p + m*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 + r**2 + 13*r - 15*r + 1. Let m be l(-4). What are the prime factors of (-946)\/(-10) - (-33)\/m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-3551.\nAnswer: 10653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 - 5)*(5*p - 5*p + 4*p)*(-2*p + 2*p - 4*p) - p**2 + p**2 + 2*p**2 + (p + 0*p + 0*p)*(p + 0 + 0))*(2*p**2 + p**2 + p**2).\nAnswer: 460*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**3\/9 - 3836*d**2\/3 - 14714896*d\/3 + 2400. What is o in u(o) = 0?\nAnswer: -3836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34629169 or -34629170?\nAnswer: -34629169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4307?\nAnswer: 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - ((sqrt(68) - (sqrt(68) - (sqrt(68) + (sqrt(68) - -2*sqrt(68))))) + sqrt(68)))\/sqrt(2))\/sqrt(2))**2*2.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3*h**2 - 37190*g**3*h - 9961*g**3 + g**2 - 2*g*h**2 wrt h.\nAnswer: -2*g**3*h - 37190*g**3 - 4*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.8 + -35. What is the closest to m in -1\/3, -0.3, 30?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 + 115 - 3*x + 2*x**3)*(-4*x + x - 7*x).\nAnswer: -20*x**4 + 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*c + c. Suppose 3*p + 37 = 4*q - 0*p, -5*p = -c. Suppose q*z - 7*z - 132 = 0. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301 divided by -949\nAnswer: -301\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322376 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3746*t**2 - 19*t + 40. Let s be u(6). Round s to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 1317, 2007, 2983?\nAnswer: 4245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -9)*(14 - 15). Let t(p) = p**3 - 10*p**2 - 11*p - 6. Calculate t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95, -192, -289, -386, -483, -580?\n\"Answer: -97*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4411750 (base 9) to base 11\nAnswer: 1379570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 3. Let c be b(0). Let z(n) = -n + 1. What is z(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 = 2*w + 3*w. Let a = 265 + w. Is 45 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/4)\/(26\/65)*5\/25?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2285, 3862, 5443, 7028, 8617?\nAnswer: 10210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 14*z + 61. Let f be l(-4). Suppose f*n - 9*n = 8, j - 4*n - 28 = 0. Solve 3*p + 15 = 0, 4*x + 2*p + 2*p + j = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 + 1025*z - 496. Calculate d(-171).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56125 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2516 and 518772.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + m**2 + 107*m - 219. Determine i(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -7. Let d = q - -6. Suppose -5*t + 0*t = -5. What is the closest to t in d, 0.1, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 21*f + 11. Give u(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103 + 101 - 7*j**3 - 12*j**4 + 5*j**3 - 6*j to g*j**3 + a + b*j**2 + f*j + p*j**4 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419479?\nAnswer: 577, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/9 - 41624*g**3\/9 - 216444764*g**2\/9 + 433264216*g\/3 - 216694562 = 0. Calculate g.\nAnswer: -10409, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -405332 or -405373?\nAnswer: -405332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/68 + (-4224)\/(-68)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**5 + 35*w**4 - 34*w**3 + 4*w**2 - 4*w + 8. Let j(g) = g**5 - g**4 + g**3 - g**2 + g - 2. Let n(p) = 12*j(p) + 3*t(p). Factor n(f).\nAnswer: -3*f**3*(f - 30)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107365087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67 or 530778?\nAnswer: 530778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349863 is divided by 629?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) 1 (c) 28 (d) -36 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*871\/2211*-2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:07 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 189*a + 435660 = 0. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:06 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 15*d + 51. Calculate q(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1004315437*r**4 - 936725139*r**2.\nAnswer: 24103570488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -130, 0, -9, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 568*j - 46. Does 37 divide g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -76. Let a(l) = -l**3 + 5*l**2 + l + 5. Let p(u) = 4*u - 131. Let x be p(34). Let n be a(x). Calculate the greatest common factor of n and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 138, 278, 418, 558, 698?\n\"Answer: 140*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 408 - 660?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(200)*-5).\nAnswer: -sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 108 = -3*m + 21, -5*m + 2*a = 131. What is the lowest common multiple of 10 and (51\/4)\/(m\/(-72))?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9806360.\nAnswer: 2, 5, 61, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 64663 = -64638, 3*r + 8 = 4*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -783 = 2*z - 3*q, 0 = 2*q - 6*q - 12. Let g = z - -402. Solve 0 = 3*j + g, -4*f + 3*j = j - 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -137*p**6\/120 + p**5\/10 + 5*p**4\/4 - 45*p**3\/2 - 130*p**2. Let y be f(-27). What is y rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6397918 or 6397924?\nAnswer: 6397918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 256\/23 + -15439\/1104. Let k = -608\/3 + 391\/2. What is the common denominator of o and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/2)*k**(-4\/5)\/k*k*k assuming k is positive.\nAnswer: k**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3374\nAnswer: 1\/1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from yvvvvmhuhhyujvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2737 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*q + 53. Let r be (-9)\/q + (-215)\/(-20). Let y(k) = r + k - 10. Let b(v) = -2*v**2. Give y(b(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose 4*v - 7 = -x. Calculate the remainder when 46 is divided by 26\/2 + v - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-1 + (sqrt(33)\/sqrt(3))**2*6 - (4*(1 + sqrt(1100)) + -1).\nAnswer: -46*sqrt(11) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 9*u + 21. Suppose -528 = -9*g - 447. What is h(g)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/(-10))\/((-6)\/(-30)). Let p be (r + (0 - 1))*3\/2. Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 + 18*k**2 - 4*k**3 - 13*k**2 + 12*k in the form n*k**2 + f*k + q*k**3 + i and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4480*s + 4475*s = 18*m - 71, -5*m + 10 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.28 * -170.\nAnswer: -387.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*n - 37*n - 1215. Which is smaller: 598\/37 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 4*x + 2*x + x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m - 38. Suppose -5*a - 2*t = -4*a, -a - 4*t - 8 = 0. What is the tens digit of o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-33)\/(-9) - (-106)\/(-42)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224826137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x - 325. Let n = x + 115. Factor -64\/5 + 544\/5*t + 464*t**3 - 260*t**4 + n*t**5 - 1696\/5*t**2.\nAnswer: 2*(t - 2)**2*(5*t - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 1816, 4219, 7606, 11989, 17380?\nAnswer: 23791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, -237, 2\/17, 4, 2\/13, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.1 - -4.8. Let c = 0.3 + b. What is the biggest value in 3\/2, c, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - 3543\nAnswer: -3543.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594182?\nAnswer: 2, 23, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*16\/(-20) - (-24130)\/1270\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44437 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43969 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-24)\/(k**1*k) assuming k is positive.\nAnswer: k**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let d(y) = -17*y - 6. Let w(g) = 33*g + 11. Suppose i - 5*i = -24. Let b(k) = i*w(k) + 11*d(k). What is b(j(f))?\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let l be 68 + (n - (2 - -1)). Suppose -3*f + l = 3*g, -3*g + 79 = 5*f - 23. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10223 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 862089090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30646669 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5857322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + -5*(1 + sqrt(3) + sqrt(3)) + sqrt(432))**2.\nAnswer: -24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4842?\nAnswer: 1\/4842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 10*d**2 - 2*d + 7. Let r be p(10). Suppose 3*m + 5*b - 28 = 2*m, 2 = -2*b. Let n = m + r. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43*-4719473.\nAnswer: 2029373.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -535\/72 - 5\/72. Find the common denominator of v and 27\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21876, 21552, 21228, 20904?\n\"Answer: -324*o + 22200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59414 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/6)\/(-3))\/((-70)\/80).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 + 149. Sort -9, -1\/2, u, -1 in increasing order.\nAnswer: -9, u, -1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33551614, -33551615, -33551616, -33551617, -33551618, -33551619?\n\"Answer: -y - 33551613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15 - 6\/15) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 + 83.946. Let b = -8.054 - i. Let v be -4 + 4 - (-2)\/(-16). Sort v, b, -4.\nAnswer: b, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(21)\/sqrt(1008) + sqrt(3)).\nAnswer: 65*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -108512.82 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 370552548 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71898157?\nAnswer: 53, 613, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -8 + (-1 - -5). Let a(m) = 7*m. Let d be a(1). Solve -y - 3*g - d - f = 0, -3*g = 3*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 7*y - 10. Let i be f(-6). Let x be (-4 + (-28)\/(-10))\/((-1)\/(-25)). Calculate the common denominator of (-34)\/36 - i\/x and 83\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 3552?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/105 - (-1948216)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 2*d**2 + 4*d**3 + 353*d**4 + d + 114 + 2*d**2 - 352*d**4 to the form n*d + u*d**4 + l*d**2 + p + q*d**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.6 + 7.53. Let d = 0.07 + m. Let t(l) = -l**2 + 7*l + 7. Let s be t(8). Is s >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:58 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7050000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) - ((sqrt(2057) - sqrt(2057)*-6) + sqrt(2057) - sqrt(2057)) - sqrt(2057) - sqrt(2057)) + 3)**2 - sqrt(2057).\nAnswer: -473*sqrt(17) + 100802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/323 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -121246 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*n**5 + 12*n**3 - 12*n**3 + (3*n**2 + n - n)*(2*n**2 - 2*n**2 + 2*n**3).\nAnswer: 47*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 6285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3884 - a**3 + 36931*a + 1087*a**2 - 3884 - 36933*a.\nAnswer: -a**3 + 1087*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-8)*(0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1985 - 686*o + 618*o + 1166*o**2 - 1973 + 178*o**2 wrt o?\nAnswer: 2688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4766240*u*z**2 + 5*u - 6557174*z**2 + 2 wrt u.\nAnswer: -4766240*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -174370.\nAnswer: -1\/87185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2485250 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 24*j - 27. Suppose 3*q - 24 - 45 = 0. Let n be g(q). Let o = 124 + -251\/2. Sort n, 0.1, o, -2 in decreasing order.\nAnswer: 0.1, o, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1961703?\nAnswer: 2\/1961703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 3 - ((-5 - (-18 - -3)) + 0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6580 and 8960.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*k - 46, -5*q + 521 = 4*k + 536. Which is the nearest to 0.1? (a) q (b) 0.06 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 195*y**2 - 11*y - 799. Give u(-65).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/21, 12, 0.2473?\nAnswer: 0.2473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2)*3\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 21.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2. Let w(f) = 503021*f. What is j(w(d))?\nAnswer: -759090379323*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2867.24 - -20.24. Which is the closest to -1\/2? (a) s (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 6 + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*w - 104 - 5*w - 8*w wrt w.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 1141*d**2 + 17925*d + 84383. What is y(1125)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 66 = 2*h - 240, 0 = -4*l - 2*h - 336. Let s = 81 + l. What is the units digit of s\/(-10) + (1884\/(-15))\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46477 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.53 - 3.5299563. What is z rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8.4. Let p = 3.7 - b. What is the nearest to 0.1 in -5, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.68 and 33.\nAnswer: 55.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333874794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236*c - 1236*c + 739*c**3 + 714*c**3 - 1455*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -921*b*o**5 - b*o - 42*b + 14*o wrt o.\nAnswer: -18420*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -a - 5*z, -11*a - 117*z + 16 = -114*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 + 243. Calculate the least common multiple of j and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.11 - 0.11. Let y = 2 - q. Let p = -1.9 - y. Is p at most as big as -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 1, x: 1, u: 1, d: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10034432 (base 5) to base 14\nAnswer: -21545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -103572 and -103585 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 48*f**2 - 44*f - 242. Calculate d(49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106036 = -1239*z + 1228*z + 131025. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**12*((u\/u**(-1\/12))\/u)\/u*((u**(-9\/4)*u)\/u)**(10\/7) assuming u is positive.\nAnswer: u**(661\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 53745*o + 483711. What is j(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 394*t - 398*t + 8, 0 = -3*x + t + 47. Solve x - 8 = -6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2100)\/(-490))\/(8\/21))\/(-3*3\/36)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33028623 by -3.\nAnswer: -11009541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 433 = 4*n - 3*a, -n = -5*a - 94. Suppose 3*g - n + 1 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-15)\/(-4))\/3)\/(38\/152). Suppose -d = -z - 3*z + 1261, -1571 = -g*z + 3*d. List the prime factors of z.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22089.0335 + 22094. Let g = i + 0.0335. Which is the nearest to g? (a) -1\/4 (b) -0.2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**6\/6 - m**4\/4 - 1251*m**2\/2 - 1628*m. Differentiate i(v) wrt v.\nAnswer: -20*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s + 4*s)*(-2*s - 172 + 205 + 77 + (6 - 2 - 3)*(0*s + 0*s - s)).\nAnswer: -3*s**2 + 110*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*q**3 - 447*q**2 + 1464*q + 592.\nAnswer: (q - 37)*(q - 4)*(11*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g. Let d(w) be the third derivative of w**8\/5040 + w**5\/60 + 18*w**2. Let o(q) be the third derivative of d(q). What is o(s(h))?\nAnswer: 256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -33. Solve i - 5*w = j, -9*w + 4*w = 4*i - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -613 + 296. Let y = 317.0442 + z. Round y to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 2:38 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n. Let k(m) = 41518*m**2 - 40*m + 4. Calculate k(f(y)).\nAnswer: 664288*y**2 - 160*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**3\/6 - 3*q**2\/2 + 3*q. Let c be r(8). Let d = c - -26. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3211 (base 8) in base 16?\nAnswer: -689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3700700 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**3\/3 + 2*t**2 + 3*t - 1. Let c = 17 - 26. Let x be d(c). Calculate the greatest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*9584\/768 - 1\/8. Is -0.06 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in hours?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.769 and -210.\nAnswer: -1001.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 7820.\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -289*x - 8. Let h(b) = 11*b**2. Determine c(h(p)).\nAnswer: -3179*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1654802?\nAnswer: 8","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: 7, v: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10519206*y**4 + 2*y**3 + 2572*y**2 + 8*y - 69.\nAnswer: 252460944*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24680?\nAnswer: 2, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -46*j + 439. Give b(3).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 23\nAnswer: -28\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 11, q: 6}. What is prob of sequence lqhq?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 189\/4. Let p = 161 + -166. Let j = -0.18 + -0.32. Which is the second smallest value? (a) x (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Suppose 51158 + 80832 = 2*d + f*z, -2*z = -3*d + 198004. What is d rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwrw when four letters picked without replacement from {r: 7, w: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24477617*-0.2.\nAnswer: -4895523.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x - 44*x - 450 = 0. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 2*f + 1. Let i(d) = -4*d**2 - d. Let y(g) = 4*i(g) - 5*l(g). Suppose y(v) = 0. What is v?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(48)*-2)**2 + -5 + 2 + (sqrt(768))**2 + (-1*sqrt(96) - sqrt(96))\/sqrt(2)).\nAnswer: -96*sqrt(3) + 3832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2222827381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 - 1 = 2*g, -2*g + 6 = 2*q. Suppose a + 5798 = 3*v, -7739 = -4*v - 0*v + g*a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 4. Suppose -n*d + 1 = -d. Solve d = -2*h - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gttttjtttgjttgjttj. What is prob of picking 2 t and 1 j?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 6*k**2 - 2*k. Suppose t = -5*r + 33, 4*t + 8 = 5*r - 10. Suppose o = 3*o. Suppose o = a + r. Give f(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 1134225*m**4\/2 - 529660*m**3\/3 + 2876*m**2 - 16*m - 936. Solve d(l) = 0.\nAnswer: 2\/355, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(1020\/850).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/(-159))\/(2\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58874, -58901, -58928, -58955, -58982, -59009?\n\"Answer: -27*i - 58847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 83468.\nAnswer: 250404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15*s - 35. Does 8 divide d(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -143 and 694.\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 14*l**2 + 4*l**2 - l**3 + 0*l**3.\nAnswer: -l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -17511.03 to the nearest 10.\nAnswer: -17510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*u - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*s + 9*s + 6552 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21\/7 + -6 + 972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34583 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1232 + 5?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 12*m**2 + 5*m - 133. What is the hundreds digit of q(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -529978 by 1373.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w - 8*w + 3*w + (-1 + 1 - w)*(2 - 3 - 5))*(0*w + 2*w - 6*w).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 + 286*a - 3243. Determine w(-67).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1939 - 1936. Let m = 3 + -2. Calculate the remainder when b is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(88))\/(-2*(sqrt(8) + sqrt(32))).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 8. Calculate the smallest common multiple of d and (2 - 1)*-3 + (6 - -4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + y + 20 = 0, 0 = h - 5*y + 4253 - 4297 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let w be 54\/(-189) + 94\/35. Which is bigger: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/48400 and 119\/1690.\nAnswer: 8179600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065548 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: Suppose 3*o + 5*g = -0*g + 20, -2*g = o - 7. Let y be (-1)\/o - 34\/5. Let h be 5\/3*(4 + y). Let r(c) = -c**3 - 5*c**2 - c - 3. Determine r(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62845.67l in millilitres?\nAnswer: 62845670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:22 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*1*-6. Suppose -4*g - 5 + 1 = 0, -3*g = -3*l + 453. Suppose -3*x + 2*y + y + l = 0, h*x - 160 = y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 5*a + 3*b, a - 4*b = 22. Let i(q) be the third derivative of -q**a - 1\/8*q**4 + 0*q + 0*q**3 + 0. Let y(p) = 2*p**2. Calculate i(y(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 6:24 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 79 = -o, -3*o = -4*x + 183. Suppose 0 = y + i - 4, -5*i - x = -4*y - 17. Let d = 16 - y. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -2*q - q, -b + 3 = 4*q. Suppose 2*d - 6 = 0, -4*l + 4*d - 11 - 13 = q. Suppose -4*x - 42 = 90. What is the closest to 1 in 2, x, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161 + -155. Factor 16 + q*j**2 - 4*j**2 + 121*j - 67*j - 66*j.\nAnswer: 2*(j - 4)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - v - 6292636 + 6292503.\nAnswer: -2*v - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a factor of 933463630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*j = -31*j + 26*j + 6765. Let z(h) = 17*h**3 + 1. Let i = 4 - 3. What is the remainder when j is divided by z(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*(-20)\/(-80))\/1 + (-206)\/(-30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479758 is divided by 5266.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {l: 1, w: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*2 + 0 - (sqrt(98)*2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/315 and 22\/2275?\nAnswer: 20475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 4648 = 15*a. List the prime factors of a.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -1769?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -107259\nAnswer: -4\/107259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21478 - 21443. Calculate the remainder when 4943 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 1160430?\nAnswer: 18566880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1377 + 4886. List the prime factors of d.\nAnswer: 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 67*u**2. Let x(p) = p**2. Give x(a(v)).\nAnswer: 4489*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -108. Suppose 72 = -7*u + r*u. Which is smaller: u or -17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:47 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*j - j - 24589, -4*u + 12 = 0. Suppose 4*y = 5*o - 30671, 0*o - j = -o + 5*y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103912 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - u = -3, 22*q = 18*q + u + 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 83)*(1 - 0). Let x = 169\/2 - u. Let v = -7436 + 7436.16. What is the closest to 0.1 in v, x, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 1727 + 1728 = -2*k, 2*k = -n + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.55601 nanograms to milligrams.\nAnswer: 0.00002155601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.07007 decades to years.\nAnswer: 40.7007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 less than or equal to -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 3*i + 4. Let t be b(0). Solve -3*f = 2*f - t*h - 30, -4 = 3*f + 2*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39068 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u - 2. Let a be f(0). Let i be 56\/12 - a\/(-3). Let j(d) = d**3 - 4*d**2 + 5. Let r be j(i). Solve r*n + 28 = 2*g, g - 5*g + n + 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117 + -2?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -128, 16, 2.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.107.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1\/8*f**4 - 1\/120*f**5 + 0 + 0*f + 16*f**2 + 7\/3*f**3. Let d(l) be the first derivative of a(l). Determine d(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 61. Let l(f) = -2*f. Calculate l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/(-36))\/(-9 + 4785\/220)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -38*o + 13*o. Let h(f) = 8*f**2 - f. Let w be h(o). What is the greatest common divisor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u - 215 = 80*u + 253 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 5938*h\/11 + 437904\/11.\nAnswer: -2*(h - 3041)*(h + 72)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhpmpphhmh. What is prob of picking 1 m and 3 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -667 and 2.\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-48)*(-3)\/(-15).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -531*m + 280. Let d be u(5). Let n = -3343 - -9347. Let a = n + d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l**2 + 5*l - 33. Let m(t) = t**3 - 4*t**2 - 4*t + 32. What is 5*m(u) + 4*n(u)?\nAnswer: u**3 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 9, -5\/6, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/14 and 101\/29798.\nAnswer: 208586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374416.\nAnswer: 2, 7, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89.1 + -89. Let a = -3.03 - -3. Let h = a + n. Round h to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 19 = 2*u. Let s(t) = -10 - 7*t + u - 10 + t**2. Calculate s(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -336665 and -336351 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -44 (c) -1\/5 (d) -132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5.92, 0.2, -4, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -4. Find the common denominator of (-213)\/(-60) + 0 + 0 and (2\/(-4))\/(z\/74).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 113*x**5\/5 - 5*x**3\/6 + 5*x**2\/2 + 74*x - 2. List the prime factors of w(1).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 238, 520, 914?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + z = 2050, 4*z - 2056 = -14*g + 10*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000100100011001 (base 2) to base 8\nAnswer: 204431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 22. Let n be s(22). Suppose 0 = -36*l + n*l - 1170. What is the remainder when l is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2310?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 87, -5?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -92. Solve -c*b + b - 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000001 (base 2) to base 11.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(156)*-5)\/(-6*sqrt(24)\/sqrt(2)).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -142.\nAnswer: -142, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 41028*s - 4*s**2 + 40357*s + 3)*(4*s**3 - 2*s**3 + 0*s**3 + (2*s + 4*s - 4*s)*(9*s - 9*s - 6*s**2)).\nAnswer: 40*s**5 + 6710*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117 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 (1 - 0) + (2 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 2*t - 2. Let v(h) = 92*h**2 + 92*h + 92. Let s(p) = -4*v(p) - 184*w(p). Let q(d) = 2*d**2. Give q(s(z)).\nAnswer: 67712*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5015\/2 + -2507. Which is the second biggest value? (a) 0.2 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 48. Is 2 a factor of a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - n = -2515, -2514 = -4*j - 0*n - 2*n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t = 236 - 12 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffanqf. What is prob of sequence qnqf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h + 7. Let v(i) = -21*i + 15. Give -9*j(c) + 4*v(c).\nAnswer: 15*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + (6 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5040 + -31?\nAnswer: -5111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 748, 1742, 3396, 5710?\n\"Answer: 330*p**2 + 4*p + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-127983)\/(-555) - (-14)\/10 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 2*f - 3. Let l be t(3). Let s = 23 - l. Suppose s*w - 70 = -5*w. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 99?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-90)*(-100)\/(-12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 258708481.\nAnswer: 15522508.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -89300 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279810779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/30*3)\/(2\/(-855)). Let g = 847 - z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/120 + 3*s**5\/20 + 5*s**4\/12 + 5*s**3\/6 - s**2. Let j be m(10). Put j, 3, -4 in decreasing order.\nAnswer: j, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11357 (base 12) in base 14?\nAnswer: -8523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tytttttttettttt.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1534.3*16\nAnswer: -24548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324 - 299. Let m be (-1 - -2) + (10 - 1). Calculate the greatest common divisor of m and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(840\/(-48)))\/(22\/(-4))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 5 - 4 + 36 - 93*l**2 to the form b*l + o + m*l**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 73*c + 1903. Let s be g(-25). Sort 4, s, -17, -4.\nAnswer: -17, -4, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 47. Let x = 2 - i. Solve -5*d = 4*s + 10, 5*d + 6*s - x*s = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198282205 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1102 - 1111. Which is the biggest value? (a) 5 (b) x (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s**2. Let q(d) = -2*d + 6. Determine i(q(x)).\nAnswer: -60*x**2 + 360*x - 540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*71.3.\nAnswer: -641.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*6\/28. Let t = 51768971\/238 + -217517. Let n = 1\/34 + t. Is n at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + (-73 + -44 - -29)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3006*w**2. Let n(j) = -5*j**2. Calculate n(v(b)).\nAnswer: -45180180*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -10. Suppose b - w*b = -8. Let z(c) = -4*c**2 - 5*c - 3. Let t(s) = 2*s**2 + 2*s + 1. Determine b*z(q) + 5*t(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 15*z**2 - 155*z + 42. Let m be y(22). Solve -22*o + m = -18*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.02 - -0.02. Let w(o) = o**3 + 132*o**2 - 126*o + 932. Let t be w(-133). Suppose 7*m = 3*m. Which is the closest to m? (a) t (b) y (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 1, y: 1, q: 2, r: 1, g: 1}. What is prob of sequence gh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/20)\/((-2)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.8 - 30. Let v = -117 - -115. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2475)\/(-330)*((0 - 3) + 182\/10). Solve 12 = -17*l + k for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -194, -407, -712, -1121, -1646, -2299, -3092?\nAnswer: -4037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 4*v - 6. Let t be r(-6). Let j(m) = 2*m**2 + 4*m + 27. Let b be j(0). Let i = b - t. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 22. Which is the nearest to -1\/4? (a) s (b) -0.2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from mmmmmmmmbbbmbm.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186*t**2 - 1305 + 3*t**3 + 2552 - 1269 wrt t.\nAnswer: 9*t**2 - 372*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ca3 + -68?\nAnswer: 1c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 31413.\nAnswer: 219891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 + 62 - (1 + -3). Let i be v - -2*4\/(-8). Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9131 divided by -5?\nAnswer: -9131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*u = 266*u + 89*u - 2760 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 8024490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 b when three letters picked without replacement from hhhirbhrhirl.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315\/3324 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 19 = -d + 2*d, d + 16 = -4*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.3 + -6.3. Sort 23, j, 0 in increasing order.\nAnswer: 0, j, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 6*y**2 - 9*y**2 - 2 - 5 in the form r*y**2 + q*y + n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 69 + -51 + (0 - 1) - 4 - (-1 + -2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-70))\/(3489\/29075*(-10)\/6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-6 + 58 - 1 - 17)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -5 - 1*-6. Suppose -3*t + 2 = 2*k, -o*t + 2*k + 6 = -6. Solve -3*h + 4 = -t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 + 368 = x, -x - 5 + 0 = -g + 2*x + 19 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 130\/7*w**7 + 0*w**2 + 0*w**4 + 0*w**6 + 12 - 4*w + 0*w**5 - 10\/3*w**3. What is the third derivative of g(s) wrt s?\nAnswer: 15600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**3 + 7*d**3 + d**3 - 3*d**2 to the form y*d + k + i*d**3 + s*d**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 2:32 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*y + 3*v - 251, -15*v = 11*y - 8*y - 20*v + 245 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (120\/288)\/(1\/112) + 6\/(-9). Solve 0 = t*u - 56*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 4d6ef?\nAnswer: 4d6ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2500\/3)\/(1\/696). Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(1331)*2 + 3*(sqrt(1331) + -1) + sqrt(1331))**2*-2 + (-5 + 1 + 0 + sqrt(1331) + 4)**2.\nAnswer: -382014 + 1584*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1099 - 487. Let s = d + -604. Calculate the least common multiple of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**4\/n)\/n*n)**(-1\/26)\/((n\/(n**(-3)*n))\/(n\/(n**(6\/13)\/n))))**1 assuming n is positive.\nAnswer: n**(-41\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Suppose 2*w + 2 = 2*j, -1 = -3*j + w + 4. What is the greatest common factor of r and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.1, 2\/7, -0.067, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.4, 2, 0.3, 7\/6, 0.7, 0.97?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 27*i - 156. Suppose i*j = -35342 + 277233. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - a + 35532 = 0. Calculate a.\nAnswer: -189, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 21 + 36. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*k - 5*k - 187, 0 = -4*n + 3*k - 288. What is the remainder when 94 is divided by n*5\/(-15) - -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 2\/11 (b) 73.62 (c) 3 (d) -1\/28 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - o + 4*o + (1 + 1 - 1)*(-13 + 13 - 18*o))*(o**2 + 5*o**2 - 3*o**2) in the form u*o + q*o**3 + z*o**2 + m and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*s**3 + 62*c**4*s**2 + c**2 - 2*s**3 wrt c?\nAnswer: 24*c*s**3 + 1488*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 2*v**5 - 5*v**3 + v**5 + (-2*v**3 - 2*v + 2*v)*(v**2 + 0*v**2 - 3*v**2).\nAnswer: 3*v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 43. Calculate the remainder when (2 - -181) + 0*l\/56 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -18*f**4\/7 + 3361988*f**3 + 52297654*f**2\/7 + 33993488*f\/7 + 5229768\/7 = 0.\nAnswer: -1, -2\/9, 1307442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 + 3*j**2 + 3*j. Let g(a) = -a**3 - a**2 - a. Let q be 0 + ((-6)\/(-3) - 0). Suppose x - q = -x. Give x*m(n) + 3*g(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1010? (a) -6036 (b) 0.12 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-150)*((-54)\/(-12) + -6). Sort -0.1, o, -1, -3\/5.\nAnswer: -1, -3\/5, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2278*s - 136*s = 1898*s - 297528 for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 3*x**2 - 2*x - 4. Let t be c(-3). What is the tens digit of (-9)\/(t - 5) - -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874*1*1\/2*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -241581.1 and -84788013?\nAnswer: 84546431.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67867641, -67867643, -67867645, -67867647, -67867649?\n\"Answer: -2*c - 67867639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {o: 1, x: 4, q: 2, k: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 12*x**2 - x - 5. Let v be t(-12). Let o(s) = s + 1 - 3 + 8 - v. Let p(u) = 2*u - 2*u - u + 1. Give 2*o(l) + 3*p(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 190\/(-152) + (-2)\/((-112)\/230) and (-50)\/(-6)*(-3)\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 22 = 16*t, -533*t + 531*t = 5*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*147677.428\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 4*u**2 - 92*u - 27. What is i(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - 384\/(-40))\/(2\/5). Suppose 0 = 5*t - 2*q - 23, -13*q + 10*q = v*t - 23. Which is the nearest to -2? (a) 1 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, v: 2, p: 3, m: 1, g: 3}. What is prob of sequence wgp?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 28. Suppose -k*z + 25 = -2*a + 10, 0 = -5*z + a + 20. Solve i - u - 6 = 0, 3*u + 26 = z*i - u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214411514 + 1?\nAnswer: -214411513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 389 = 502. Suppose -5*l + h + 626 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 0*b. Let o(c) be the first derivative of 14 - 19 + 3*c**2 - 6*c**b. Let t(k) = k. Calculate o(t(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9)*(-3)\/(-2) - 28. Let o be (-2)\/9 - 141\/j. Let c be (30\/20)\/(6\/32). Solve -5*v + 9 = -3*s, -c*v + o*s = -3*v - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let p(l) = 1531*l**2. Calculate b(p(a)).\nAnswer: -2343961*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 534546 and 2394.\nAnswer: 3741822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13965 + 13925. Is u less than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 10:32 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5797302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.5 (c) -4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 10:39 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*24\/(-9)*-4 + 1*-2. Calculate the highest common factor of 182 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7736.188 days in milliseconds?\nAnswer: 668406643200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1573, -4491, -9315, -16045, -24681, -35223, -47671?\n\"Answer: -953*h**2 - 59*h - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0, -3.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, x: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(4\/7)\/k))\/(k**(3\/4)*k))**(12\/11)\/(k**(3\/8)*k**(-2)*k\/(k\/k**4*k)*k*k*k**(-2)) assuming k is positive.\nAnswer: k**(-1063\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1\/3) - 13. Let a(l) = -l**2 - 8*l + 22. Let b be a(u). Solve 4*j = 3*j + 3*g - 1, -2*j = -b*g - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/6)\/(7\/(-35))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1016 + 589 + 444*w - 440*w to the form j + z*w and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/7 + (-325)\/35 + 9. Solve k*a + 16 = 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 17)*(-3)\/2. Let x be (-26)\/(-4)*(308 + -312). Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2 + 5\/(-10). Suppose 5*m + 5 = -3*d, -d - 3 = -o*m + 3*m. Let p(c) = c**2 - 4*c**2 - 2*c**m. Let i(f) = 5*f**2. What is i(p(b))?\nAnswer: 125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2727 - 2750) + (-56 - 0) - (1 - (0 + -2)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -32*s**2 - 14*s + 42. Let g(r) = -6*r**2 - 3*r + 8. Give -11*g(j) + 2*w(j).\nAnswer: 2*j**2 + 5*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 3521660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8992*z**4 + 11457*z**3 + 90733*z**2 - 58 wrt z?\nAnswer: 215808*z + 68742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 14. Let j be s(12). Is -3*(j - (-14)\/(-3)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8\/5, 8, 4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from wmlhwhmmwhllhwlhmmh?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 19.64\nAnswer: -23.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g + 4. Let z = 14 + g. Calculate the remainder when 26 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 9*l**2 - l + 12. Suppose 5*b = -5*w + 50, 5 = 5*w - 5. Let x(y) = y + 1. Let o be x(b). Let s be c(o). Solve i + 12 = -s*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 15*s - 32. Determine t(13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + 8. What is the remainder when p is divided by 20\/(-30)*54\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -17, -4536 in increasing order.\nAnswer: -4536, -17, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 7*t + 3*x - 15, t = x - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by -4\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/3564 and 31\/207036.\nAnswer: 2277396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2 - 44674*s + 44675. Calculate f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*(a\/(a*a**(-34\/3)))\/a*a))**(-25))**(3\/10) assuming a is positive.\nAnswer: a**(185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16768 + 84183\/5. Let m = -69 + o. Let n = 6 - 11. What is the second smallest value in n, m, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.043 + -5.077. Let o = t - -0.12. What is the smallest value in 0.5, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(4 + -1))\/(8\/(-4)). Suppose -3*g = h - 19, -n*h + 6*g - 4*g = -61. What is the third derivative of 7*r + 23*r**2 + 18*r**2 - 7*r + h*r**3 wrt r?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 0 - 2 - 6 + 11*x. Let n be q(-4). Let s = n + 112. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 3\/2, -4, 0.2, 29, 1\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 26566.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 344684 (b) -0.1 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-4))\/w**(5\/4)*((w*w*w*w**(3\/8)*w)\/w)\/(w\/(w*w**(-5\/3))))\/((w**(-1))**38\/(w**(-1))**(-3\/8)) assuming w is positive.\nAnswer: w**(263\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 14974379.\nAnswer: -1, 12, 14974379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.21 + -22. Let u = k + -0.61. Suppose 2*i + 3*i + 25 = g, 3*i - 3 = -3*g. Which is the third biggest value? (a) u (b) -6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 235071 and 657.\nAnswer: 17160183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.479854 years to decades.\nAnswer: 0.7479854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*((-5*sqrt(252))\/(sqrt(36)*2) + -2))**2.\nAnswer: 160*sqrt(7) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2\/4 - 99921*s\/4 - 149895\/2 = 0.\nAnswer: -3, 33310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62296 and 163592.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1519\/133843 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 66*u**3 - 4*u**2 + 4*u - 3. Let v(i) = -62*i**3 + 3*i**2 - 3*i + 2. Calculate -2*s(d) - 3*v(d).\nAnswer: 54*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -2\/3*b**3 + 0 + 1\/60*b**5 - 1\/8*b**4 + 0*b - 38*b**2. Find i such that x(i) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 + -42 - (2 + 28)) + 8 - 12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*l + 12, 3*l + 18 = -2*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 1, k: 3, i: 1, c: 4, m: 6}. What is prob of sequence ickc?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 942 - -93. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.5 + 2.5. Let l = m + -40.4. Is -2\/7 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -7*k + 19. Suppose m + 8 = 4*c, 5*c - k = -3*m + 2*m. Suppose 15 = q + m*q. Let s(j) = -j**3 + 3*j**2 - 3*j + 4. What is s(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 3152*b + 620944.\nAnswer: 4*(b + 394)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.38 - 8.62. Which is the closest to 0.1? (a) 0.2 (b) 2 (c) i (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/((2 - 2) + 1 + -2). Let p be (j\/(-40))\/((-3)\/10). Is p less than -1.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5160 or -5165?\nAnswer: -5160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + 0*c)*(-4 + 4 - 3*c) - 11*c**2 - 5*c**2 + c**2.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 154 = 2*i, 4*l = -5*i + 127 - 106 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-48)*3*-8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c379 (base 15) in base 13?\nAnswer: 15a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*m**4 + 2*l*m**3 + l*m**2 + 19974*m**4 + 6*m**3 - 401*m**2 + 7629*m + 2 wrt m?\nAnswer: -24*l*m + 12*l + 479376*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -216\/11? (a) 2\/7 (b) 6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30123 (base 5) to base 12.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 4 + 0)*(9*v + 22*v - 9*v) + 0*v + 0*v + 3*v)*(-3 + 1 - 1) as n*v + h and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4\/3, 2\/3, 8, -3620, 5\/3 in ascending order.\nAnswer: -3620, -0.1, 2\/3, 4\/3, 5\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 6*q - 4*q as y*q + r and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286654*j**4 - 300753 wrt j.\nAnswer: 1146616*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6322 times 2.96?\nAnswer: -18713.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 361431 or 361393?\nAnswer: 361431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2 = -2*f + 4, 0 = 3*j + f + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a = -241 + 37. Solve 4*b = 2*c + 3*c + 27, 2*b - 18 = a*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*o - 154*o - 147*o - 138*o + 637*o.\nAnswer: 53*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 8*n**2 - 3*n - 22. Suppose -k = -m + 6, -m + 0*m - 2*k + 9 = 0. What is the least common multiple of 3 and r(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v = 2824 - 77. What is the remainder when 189 is divided by v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/5 + 14826*m**3\/5 + 14898066*m**2 + 74475502*m\/5 = 0 for m.\nAnswer: -3433, -1, 0, 10847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27332 - 15267. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -51.003. Let c = b + -10.797. Let o = c + 10.800000026. Round o to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/16 - 2\/(-8). What is the third derivative of -2*u**2 + 3*u - 3*u + w*u**4 + 3*u**4 wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1104, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/50*(-1 - -1) + -241. Let j = s + 571. Is 37 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.8953776 to 1 dp.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 3*o**2 + o + 2. Let s be q(4). Let k(l) = -8*l + 2*l + 26 + l**2 + 12*l. Let f be k(0). Solve 3*b + 2*b - f = 3*c, 3*b = 5*c + s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - ((sqrt(20) - (sqrt(20) + -3*sqrt(20)))*6 - sqrt(20)))\/(-5*sqrt(324) - sqrt(4)).\nAnswer: 8*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2439001 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1812424795 to the nearest integer?\nAnswer: 42573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -111071 and -0.13192.\nAnswer: -111071.13192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1957\/8604 - 5\/956. Suppose 2 + u*w**2 + 4\/3*w = 0. What is w?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5)*p)\/(((p*p**(5\/4)\/p)\/p)\/p*p))\/((p\/((p*p*(p*p*p**(-4)*p*p)\/p*p*p)\/p))\/p)**(14\/9) assuming p is positive.\nAnswer: p**(659\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**2*s + 5810*r**2 - r*s + r - s - 13312 wrt r.\nAnswer: 6*s + 11620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1573)*2.\nAnswer: 4 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 4*z - 3. Let m be o(1). Let h = -14 + 67. Let s = -55 + h. Which is the smallest value? (a) -5 (b) s (c) -1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436 a factor of 73547203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 5199.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -98319+-834\nAnswer: -99153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 0.3, -1, 1916.\nAnswer: -1, -0.1, 0.3, 1, 1916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-2*v + 2*v**5 + 2*v).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 33*y - 34. Let a be d(12). Factor 3*i**3 + 0 - 3\/2*i**a + 0*i - 3\/2*i**4.\nAnswer: -3*i**2*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -17 - 0\/(-1). Let z = 21 + w. Sort z, 0, -3 in increasing order.\nAnswer: -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/33)\/(((-3)\/9)\/(-1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40.412562 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2337 (base 9) to base 11.\nAnswer: -1338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*i**2 + 137*i**2 - 65*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/(-110))\/((-1768)\/1020)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 7 + -29 + 51.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*p + 4520, -103*f - 2*p = -107*f + 3608. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f - 11. Let l be a(-4). Solve l*h = -2*b - 25, 4*b - 4*h + 13 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(2\/9)*r\/r**(-3)*r**2*r**(2\/11) assuming r is positive.\nAnswer: r**(733\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/65 - 2\/10. Let l = 33.67 + -34.67. What is the closest to -7 in l, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1743)\/189 + (-8)\/(-36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -1\/3*m**3 + 0 - 4*m**2 + 6389\/12*m**4 + 0*m. Let d be j(9). What is d rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(91) + sqrt(91)*2))\/(2*sqrt(112)).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 386*o**2 - 503*o - 45460. Calculate a(-385).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*o**2 + 70*o**2 - 91*o**2.\nAnswer: -373*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljj when three letters picked without replacement from {l: 1, j: 4, n: 5, d: 6}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*q**2 + (-1911*q + 534*q - 483*q - 413*q)*(2 + 2*q - 4 + 10) to the form r*q + i + x*q**2 and give r.\nAnswer: -18184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 322321253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1070, 2138, 3204, 4268, 5330, 6390?\n\"Answer: -s**2 + 1071*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 48, 56\/3, 0.1, 0.7, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 2*m - 25, -20*o + 15*o - 150 = -33*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/(h\/((h\/(h**3\/h)*h)\/h*h)*h)))\/h*h)\/(h*h**(-2\/13)\/h))\/(h*h**(-6)*h**(-2)))\/(h**(-3)*h*h**6)**(-22) assuming h is positive.\nAnswer: h**(1263\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/12 + (-2)\/(-3) and 97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*k - 174. Let m = -181\/3 - k. Let z = -14 + 9. What is the third biggest value in m, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-705)\/47 - -13) + 26. Factor 144\/5 - 3\/5*t**3 - n*t + 33\/5*t**2.\nAnswer: -3*(t - 4)**2*(t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676, -3614, -8830, -16324, -26096, -38146, -52474?\nAnswer: -69080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w - 3. Let m(b) = 14*b - 8. Determine -3*m(s) + 8*n(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47537 - 47435 = 2214*n + 6032*n - 395706 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.257157 nanograms to milligrams.\nAnswer: 0.000000257157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1692846091 rounded to three dps?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*p = 1, 3*b + 4*p - 7 = -4. Suppose 12 = -4*m + 3*m - b*v, -v = 2*m + 6. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - d**2 + d - 1. Let l(f) = 7*f**3 - 15*f**2 - f + 1. Give g(n) + l(n).\nAnswer: 5*n**3 - 16*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 3*z + (1 - 1 - 2*z)*(5 - 4 + 0))*(-12*z**3 - 7*z**3 + 5*z**3).\nAnswer: 56*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -25*g**8\/168 - g**5\/30 - 55*g**3\/6 + 88*g**2 + 2*g. What is the third derivative of k(j) wrt j?\nAnswer: -3000*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 20, 30, 40, 50, 60?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -331342, -662662, -993976, -1325284, -1656586, -1987882?\n\"Answer: 3*n**2 - 331329*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*s = -6*s - 13, 3*v + 39 = -6*s. Which is smaller: 33\/236 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l - 1. What are the prime factors of x(-9)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 1614. Let g(i) = 2*i - 4866. Give 3*g(v) - 8*q(v).\nAnswer: -2*v - 1686","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2550\/(-867)*23\/115.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*w + 2, 0 = y + 4*y + 4*w - 14. Calculate the common denominator of (28\/96)\/(y\/(-44)) and (-4)\/18 - (-490)\/(-144).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 + 3. Let c(w) = -14*w**2 + 8*w - 12. Let k(y) = c(y) + 4*q(y). Factor k(f).\nAnswer: 2*f*(f - 4)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.9 and -29886?\nAnswer: 29886.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 478451, 956368, 1434285, 1912202, 2390119?\n\"Answer: 477917*p + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 77*y. Let g be x(1). Suppose -12 = 5*t - g. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8326008ug in tonnes?\nAnswer: 0.0000000000008326008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 - u + 1. Let o be m(1). Let w be 8\/o - 4\/(-10). Is -4*(-8 + 3) - w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.5 - -0.5. Let q = 12.807 + -12.307. What is the fourth biggest value in k, -16, 2, q?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119441 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 19*f**2 - f - 7. Determine x(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.019 and -1.02976407.\nAnswer: -1.04876407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16 = -4*o, 4*c - 3*o = 0. Let n be (-52)\/91 - (666\/21)\/c. Solve -7*h + n*h = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145206872 and 2752?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -864.8119 and 0.1?\nAnswer: -86.48119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.8 + 16.6. Let v = z + -8. Suppose 0 = -4*o - 5*h + 17 - 0, 5*h = 4*o - 7. Which is the closest to -1? (a) o (b) -2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2772 + 185.0228. Let r = m - 185. Let n = -3 - -7. Which is the closest to -2? (a) r (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 112039 = 20852. What are the prime factors of v?\nAnswer: 3, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 275 - 271 = 5*b, -b + i = -8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(-5) + 24\/40. Solve m*j - x + 11 = 0, -2*j - 5*x - 33 + 0 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20*z**2 + 337*z - 11. Let d(g) = 13*g. What is d(a(b))?\nAnswer: -260*b**2 + 4381*b - 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/2 - 118051*w\/2 - 5249309 = 0.\nAnswer: -117962, -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Let c(j) = -37*j**2 + j. What is c(y(a))?\nAnswer: -37*a**4 - a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a6b06 - -35?\nAnswer: -a6a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 91*u - 1697. List the prime factors of h(64).\nAnswer: 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 * -20526\nAnswer: -1498398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)*x\/((x\/((x*x\/(x*x\/(x**(-1\/2)\/x)*x))\/x))\/x))\/((x\/x**(3\/16))\/x**(-4)))**(3\/29) assuming x is positive.\nAnswer: x**(-687\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/16 - -107\/80. Let n = 10.1 - 8.1. Let m(x) = x**2. Let t be m(1). What is the second smallest value in f, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1779 + 1778.9. Sort y, 4, 555 in descending order.\nAnswer: 555, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**3 + 28*u**3 - 52*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 3:02 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, 28529, 1 in decreasing order.\nAnswer: 28529, 180, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/360 - c**4\/18 - 7*c**3\/36 + 13*c**2\/2 - 78*c. Let w(m) be the first derivative of a(m). Factor w(o).\nAnswer: -(o + 1)*(o + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - r = 11, 7 = -i - 4*r - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39334475*q**3 - 8506*q**2 - 293 wrt q.\nAnswer: -236006850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 6*v**2 - 10*v - 2. Let y be t(-4). List the prime factors of 244 + -2 - (y - 1).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9760958 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14931 and 72?\nAnswer: 119448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041 (base 10) in base 5?\nAnswer: -13131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94680, 189454, 284314, 379302, 474460, 569830, 665454, 761374?\nAnswer: 857632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/11? (a) -3\/5 (b) 993 (c) -80 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -21 in descending order.\nAnswer: 3, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*k - 113*k = -60 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14174000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1007194 and 3\/1390?\nAnswer: 5035970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-1 + sqrt(243)) + -3 + ((sqrt(72)\/sqrt(4)*2 + sqrt(18))\/(2*sqrt(294)))**2.\nAnswer: -27*sqrt(3) - 169\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 1. Let c(g) = -24*g - 16. What is c(l) + 16*h(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 159 + 184. What is the remainder when s is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 32)\/((-1)\/(-7)). Suppose 0 = p + 5*r - 58, 2*p - b = -2*p - 5*r. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -4\nAnswer: 195\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 + 3*t**2 - 4 = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7328 at least -7326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-24) + 3010\/2800?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -i - 6*w, -5*i + 3*w + 52 = 0. Let j(u) = 4*u**3 + 19*u**2 - 5*u + 27. Is j(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 2, n: 1, v: 2, t: 1}. Give prob of sequence yv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 2.27126?\nAnswer: -0.908504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4 = m - 4*k, 2*k + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnbbbnbbnnb. Give prob of sequence nbb.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 363264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287156 is divided by 287125.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 4:06 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phqppqphp. Give prob of picking 1 p, 1 h, and 1 q.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 0 + (-1 - -5). Suppose m*n - n = 11. What are the prime factors of (-6)\/33 - 354\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -5, -1, 115.907, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-2))\/((-12)\/(-8)). Let i = r - -15. Calculate the greatest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236280 and 2986830?\nAnswer: 2138570280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -50*l + 283 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5\/7 - g**4\/7 - 10*g**3\/7 + 10*g**2\/7 + 9*g\/7 - 9\/7 = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -4. Suppose n = 5*h + 14, h = -5 + 2. Let m be (4\/(-10))\/(8\/5). Which is the third biggest value? (a) n (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 2 = -4*d, 4 = 2*q - 5*d. Suppose 0 = -q*m - 1 + 5. What is the lowest common multiple of -2*95\/(-20) + 3\/6 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 3*r**6\/20 - 5*r**3\/2 + 17*r**2. Differentiate k(o) wrt o.\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or -1\/104?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 1)*2\/6. Is 0 - (z + -79 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 - 6*g - 6. Let l(z) = -15*z**2 - 12*z - 12. Let b(q) = 6*l(q) - 13*w(q). Suppose -s + 2 = -3. Is 10 a factor of b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 11 = 5*f + u, -3*f = 2*u - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-799)*(-34)\/12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.290095 minutes to seconds.\nAnswer: 377.4057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405753602 to the power of 1\/3, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-155*g + 129 + 25 - 155)*(2 + 2 - 2)*(2*g**3 - 4*g**3 - 12*g**3) to z*g + f + w*g**4 + a*g**2 + j*g**3 and give w.\nAnswer: 4340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2\/2 - 1311*s\/2 = 0.\nAnswer: 0, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*i*u**2 + 207*h*i*u - 4*i*u**2 + i - 3*u**2 wrt u.\nAnswer: 4*h*i - 8*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 3\/5 (b) 3 (c) 143\/5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -370996 (base 16) in base 7?\nAnswer: -42441562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 8929506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -1\/2, 1, 0, -1\/3 in descending order.\nAnswer: 1, 0, -1\/3, -1\/2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -45*b**3 + 2*b**2 + 39*b + 38. Let t be k(-1). Solve t*n - 126 = 28*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3051055 is divided by 989?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121584123 and 81.\nAnswer: 1094257107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11881093 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -11.376?\nAnswer: 22.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - (-2)\/(-4))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2*k**3 - 3*k)*(-2*k + 0 + 0) - 2*k**4 - k**3 + k**3 + 4*k**4 + 0*k**4 - 2*k**4 + (2*k**3 - 2*k**3 - 2*k**3)*(3 - k - 3).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2655 - 2640. Let m(a) = -a**3 + 14*a**2 + 17*a - 22. Give m(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(2\/11)\/c))\/(c*c\/((c*c*(c**(-2\/5)*c)\/c)\/c))*c**(3\/2)*(c**(-1\/8)*c)\/c assuming c is positive.\nAnswer: c**(789\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13934?\nAnswer: 2, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n. Suppose 5*q + 0*q = 10. Which is the closest to n? (a) q (b) -3\/4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19903 is divided by 9948.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 849199616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xggxxgggxg. What is prob of picking 1 x and 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -6 + 3 - 3. Suppose -5*f + 3*n = n + 37, x = -f + n - 8. Let w(v) = -v**2 - 6*v + 2. Determine w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*a - 5, -4*a = -8*a - 5*c + 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkmb when four letters picked without replacement from {l: 1, b: 1, k: 1, m: 4, s: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from bjajljjllbajjlbalaj.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a77 - 100?\nAnswer: -3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 smaller than 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -37*p + 3. Suppose 2*q + 3*q - 4*v - 2 = 0, -q + 5*v + 13 = 0. Let t be j(q). Suppose -x + t = 61. Solve 0*r - x = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.578 + -27.578. Let t = -10 - -14. Which is the closest to -2? (a) t (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -84*((0 - 3) + (-4)\/(-1)). Let j be (-1904)\/d - (2 - 4)\/6. What is the highest common divisor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8043 - 276*n**3 + 697*n**3 + 8038)*((-1 - 1 + 3)*(-1 + 3 + 0) - 1 + 1 + 2 + 0 + 1 + 1 - 5 + 5 - 3) in the form b*n + p*n**3 + g + a*n**2 and give p.\nAnswer: 1263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-9)\/(-3) - 6 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -902+63713814\nAnswer: 63712912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**4\/4 + 4*w + 2. Let a(s) be the first derivative of z(s). Let m(o) = -2*o**2. Give 4*a(l) + 5*m(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k + 2. Let q be 1*1\/1 - 3. Let i(b) = -3*b + 1. Let s be 30\/(9 + (23 - 26)). Determine q*p(y) + s*i(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20132, -20125, -20118, -20111?\nAnswer: -20104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000887231 to 6 dps.\nAnswer: 0.000887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 - 21*n**2 - 10*n + 65. Let b(k) = 2*k**3 + 10*k**2 + 5*k - 30. Let g(a) = -13*b(a) - 6*d(a). Determine g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2081*s + 46 = 2195*s + 95 + 65 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -949*v + 952*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 7*v. Let m be x(-6). Find the second derivative of -2*l - 10*l + m*l**4 + 4*l wrt l.\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*i + 303*h**3*l*v**2 - 2*h**2*l - h*i*l*v - 225*h*i*l wrt v.\nAnswer: 606*h**3*l*v - h*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 1\/9*t**4 - 4\/9*t**3 + 7*t**2 + 1\/30*t**5 - 1\/45*t**6 + 0 + 1\/315*t**7 + 0*t. Factor v(c).\nAnswer: 2*(c - 2)**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 76 - 109 = 0. Let i(b) = -14*b - 3. Let f(p) = -55*p - 11. Calculate q*i(y) + 3*f(y).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2231 and 69?\nAnswer: 6693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4264 - 910 = 6*r. Is -1\/4 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4)*y**1\/y*(y\/y**(-3\/5))\/y**(-4) assuming y is positive.\nAnswer: y**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 >= 1917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = 6*t - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34139918.\nAnswer: 2, 17069959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290180306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 5, 89 in ascending order.\nAnswer: 2, 4, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*f - 32 + 692 = 246*f. Solve 0*q - 21 = 2*q - 5*g, -g = -f*q + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*b**6 + 370*b**5 + 3*b**2 - 46*b - 14.\nAnswer: -18600*b**3 + 22200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 187 - 8?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*r**2 + 184*r**2 + 34*r**2.\nAnswer: 274*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w - 24. Let n be 3 - (3 + -8 - 0). Let x be b(n). Let h = x - 68. What is the second biggest value in 0, 1\/3, h, 0.16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*w**2)*(-2*w**2 + 3*w**2 - 4*w**2)*(1 - 2*w - 2 + 19).\nAnswer: -12*w**5 + 108*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 510*k**3 - 369429*k**2 + 643450553 wrt k.\nAnswer: 1530*k**2 - 738858*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 30 - (5 + (-2 - (11 + 2))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*c + 103 - 153 + 170 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b. Let k(u) = 4*u + 6. Let i(v) = 1. Let r(o) = -o - 3. Let y(m) = 2*i(m) + r(m). Let c(p) = 5*k(p) + 30*y(p). What is h(c(z))?\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-84)\/(-14))\/(2\/(-1)). Let j be (174\/o)\/((-6)\/90). What is j rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**3 + 6*o**2 - 18*o + 5. Let a(s) = -22*s**3 + 24*s**2 - 73*s + 19. Let t(i) = 6*a(i) - 26*u(i). What is z in t(z) = 0?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -36. What is the third biggest value in 2, v, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -70*r**2. Let v(f) = -26856*f. What is v(x(g))?\nAnswer: 1879920*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-2 + s**4 + 2).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f + 0 - 9*f + 22*f + f**3 + 5*f**2 + 5. Suppose 8*l = 20*l + 276. Let d = -7 + l. Let i(x) = x**2 + x + 1. Calculate d*i(s) + 6*o(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 49, -5.4.\nAnswer: -5.4, 20, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, k: 3}. Give prob of sequence ookk.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 4*h**2 + 2*h - 2. Let a be m(2). Suppose 4*j + j - a = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20159745.\nAnswer: 3, 5, 1343983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (0 - -12 - 16)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -403. Round k to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 805821001?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 8*m - 9. Let h be q(3). Let p be 38\/h - 12\/(-18). Suppose p*k - 1043 = 6*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492784 divided by 123196.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(3*i - 7*i + 2*i) - 2*i + 3 - 3)*(15*i - 180*i - 214*i).\nAnswer: 2274*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 1679.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 q when four letters picked without replacement from {m: 2, s: 2, a: 1, q: 2, u: 1, v: 10}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 + 13 - 5 + 6*b**2.\nAnswer: -12*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/120 - w**5\/15 + w**4\/24 - 5*w**3 - 2*w**2 - 14*w. Calculate the least common multiple of j(6) and 2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/((-45)\/(-10)))\/((-26721)\/135). Is r < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 139?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183895\/14 + 13142. Let s be 83789\/(-14) - (-8)\/28. Let o = s + 5978. What is the common denominator of o and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*o + 0)*(37396*o**2 - 34 - 37406*o**2 - 3).\nAnswer: -30*o**3 - 111*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/1677 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.83 and -135.88173?\nAnswer: -112.7818359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.525 in -4, -2, -3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 710 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1773, -4405, -7897, -12249, -17461, -23533?\n\"Answer: -430*z**2 - 1342*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 + 138*g + 270. Let r be d(-2). Solve -6*j + 10*j - 2*o = r, -5*o - 25 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200011100012 (base 3) to base 5.\nAnswer: 211421044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 393641877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1964615 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/561906 and -77\/36252?\nAnswer: 1123812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 + 2*s**2 - 3*s**2 + (-s**2 + 2*s**2 - 2*s**2)*(1 - 3 + 3) + 3*s**2 - 4*s**2 + 3*s**2 - 2 + s**2 + 2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36791864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:45 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 8*m**5 - 364*m**4\/3 + 296*m**3\/3 + 1456*m**2\/3 - 1568*m\/3 = 0.\nAnswer: -2, 0, 7\/6, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -1.4 (c) 3\/25 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(9\/10)*n**35\/n*n)\/(n\/(n*n*(n\/n**(-2\/15))\/n)*n**(-3\/13)) assuming n is positive.\nAnswer: n**(14533\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 185 (c) -2 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 (base 10) in base 16?\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/450*-5)\/((-4)\/(-8)*-1)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 + -7 + (-35 - (-74 + 18)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/378 and -5\/14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d + 9. Let r(u) = -5 + 1 + 5*u - 5 + 0. Let p(n) = 6*a(n) + 5*r(n). What is the units digit of p(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -79234.\nAnswer: 29\/79234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/11 + 62*s - 80724\/11 = 0?\nAnswer: -434, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 1221, 2780, 4953, 7734?\nAnswer: 11117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30448984 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 6. Suppose 0 = -0*j - q*j. Let d = -87 + 438\/5. Which is the third smallest value? (a) j (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5480688 and 4994?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -49. Let u = 20 - f. Suppose -s = 2*s + 6. Which is the closest to -2\/3? (a) s (b) u (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/((-4264)\/(-68224)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9)\/(-5*(-3)\/(-9)). What is the nearest to 1 in -0.06, -0.5, r?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 20 = -10*d. Suppose -d*n + q - 43 = 0, 4*n - 5*q - 11 = -58. Calculate the remainder when 147 is divided by (-302)\/n + (-3)\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 - 12*u + 308 + 8*u - 169 + 2*u.\nAnswer: -2*u - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*((-6)\/9 + -3). Suppose -18*a = -t*a + 848. Suppose 5*i - a = i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkmkzkkk. Give prob of sequence mn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 + (-14)\/18. Let f = 9.86 + 0.14. Let d = f - 5. Which is the closest to q? (a) -2\/3 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 17*r - 96. Let m be y(13). Calculate the highest common factor of m and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 + 3*h**3 - 9*h**2\/2 + 9*h - 3. Let s be d(8). What is the nearest to -1 in 0.5, s, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17247 - -4?\nAnswer: 17252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**2 - 7*l + 9. Let t(d) = 7*d**2 - 3*d + 4. Let g be 8\/(-12)*7\/((-28)\/(-54)). Calculate g*t(y) + 4*z(y).\nAnswer: -3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**4\/4 - 4*d**3\/3 - 5*d**2\/2 + 5*d + 2. Let s be a(5). Suppose s*c - 104 = 51. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 20 = r + 4*a, 5*r - 5*a = 0. Let o = -52.02 - 1.28. Let q = o + 57.3. What is the fourth biggest value in q, 0.3, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h = 37*h - 62*h - 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -40. Let d = 0.03 - -4.27. Let r = d + f. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3993*w + 80111. Give k(-20).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 3*r = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32527 is divided by 278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.56 - -1.48. Let g = -6 + v. Let z = -1.96 - g. Which is the closest to -0.1? (a) -1\/2 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -38387?\nAnswer: 1\/38387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/13, 42, 5, 0, -2\/3, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2648476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10941.\nAnswer: 3, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 times 4?\nAnswer: 3252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - y - 83 = 84, 0 = -3*d + 2*y + 172. What is the remainder when d is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 14*v + 12. Let m be -32 - -19 - (9 + -6)\/3. Determine w(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.77 + -0.7. Let j = l - -2.93. Let k = j + -2.7. Put 5, 2, k in decreasing order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 2, -2.7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3059*w**6 - 134*w**2 wrt w?\nAnswer: -367080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s. Let g(l) = -20*l - 1. Let f(k) = -6*g(k) - 33*h(k). Let u(q) = -13*q + 6. Let i(w) = 4*f(w) - 3*u(w). What is the derivative of i(v) wrt v?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4038501262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3\/5, 1, 6\/5, 1\/2 in increasing order.\nAnswer: -23, -3\/5, 1\/2, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 6:15 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 less than 16.18348?\nAnswer: 45.18348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: f0a3 (base 16) to base 4\nAnswer: 33002203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 6*k**2 + 11*k + 4. What is x(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3. Let m(t) = 6*t**2 + 1 - 5*t**2 + 0*t**2. Suppose 84*q - 82*q = 8. Determine q*m(x) - a(x).\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27095153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 215571132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29052 + -18031. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3)\/g*g**(-10))\/(g*g\/((g**8\/g*g*g)\/g)*g\/(g**(2\/13)*g)) assuming g is positive.\nAnswer: g**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r - 13. Let u(t) = -2 - 5*t - 1 - 3 + 10*t. Let i(x) = -4*a(x) + 7*u(x). Let q be i(8). Solve -q*w + 5*w = -n - 10, -4*w + 5*n - 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25173374 + -101?\nAnswer: 25173273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*42.\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4938\/7 in 2, -0.1, 4.1, -1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 568?\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000068434103 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142457\/22698 + 2\/1261. What is the common denominator of r and 13\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**3 - 16*j**2. Let u(a) = -24*a**3 - 63*a**2. Let c(d) = 21*q(d) - 5*u(d). What is the third derivative of c(l) wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*n**3 - n + 31*n**3 + 2*n**2 - n - 8*n**3 + 51*n**3 to the form j*n**3 + k*n + a + r*n**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 39235 divided by 5605\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*-3)\/(5*sqrt(144)) - -1*(sqrt(77) - (sqrt(77) + sqrt(77)*2)*1)\/sqrt(7).\nAnswer: -37*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*c**3 + 31*c + 7*c**2 - 9*c**2 + 56*c + 2*c**2 + 2*c**2 wrt c?\nAnswer: -162*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5690649*y - 49723520 wrt y?\nAnswer: 5690649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 9*s**2 - 50*s + 16. Suppose -12309*h = -12337*h - 364. Give v(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/18 - (4 + -4). Put 2, 0.02, b in decreasing order.\nAnswer: 2, 0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/40)\/(132\/120).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8431 = -36*y - 6883 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3481 - 3482. Let q = -2.3 + 2.38. Sort a, 0.2, q, 4 in increasing order.\nAnswer: a, q, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1362 and 285339?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = 13. Let s = -2774 + 2772. Which is the nearest to -1? (a) g (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 917*p + 6892*p + 1395*p to the form l + i*p and give i.\nAnswer: 9204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/11 + 6*b**3\/11 - 2*b**2\/11 - 6*b\/11.\nAnswer: 2*b*(b - 1)*(b + 1)*(b + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 246432\/1063 >= 231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) 960 (c) 2 (d) 2\/241 (e) -2 (f) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(0 + 2\/4). Let d = 332 + -327. Solve -f*b = 3*n - n + 9, -5*n - d*b = 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1384 + 2095. Let p = 711 - j. Solve c + 4*f + 7 = 0, 3*c + 2*f = -1 - p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566292 is divided by 1144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 342638013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163 + 283. Let 2*t**5 + 116*t**2 + 4*t**4 + 0*t**3 - s*t**2 - 2*t + 0*t**3 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1781 - 1827 - (-74 + -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 85*m - 69, 3741*m + u = 3736*m + 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-3))\/(-3*6\/(-54)). Let g(t) = 7*t**2 + 12*t - 2. What is the tens digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 96. Suppose -j - w*j = -380. Solve -2*o = 4*k - 20, 4*k - j = 7*o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11104410*x**2 - 723166*x wrt x.\nAnswer: -22208820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 5*o**2 - 2*o. Let b(p) = p**2 + 7*p + 4. Let n be b(-7). Calculate the remainder when 87\/n + (-3)\/(-12) is divided by s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 9*y + 16. Let m be j(4). Find the common denominator of (-497)\/126 + 0\/(-1) and (-32)\/8 - (-70)\/m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19710 <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*z**4 - z**2 + 1 + 0*z**2)*(-3 + 0 + 4)*(-1 - 2 - 1).\nAnswer: 12*z**4 + 4*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -1)*8\/10. Let y be 20\/(-50)*4*(-15)\/2. Suppose -5*s - 60 + 45 = 4*z, 4*s = -z - y. Solve p + z = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514816624 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -15 + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 + 13*c + 113*c**4 + 113*c**4 - 224*c**4 wrt c?\nAnswer: -40*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152*b + 5 = -1151*b. Solve 3*n = b*y + 12 + 10, -5*n - 15 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i + 32. Let y(m) = -7*m - 22. Let q(b) = 4*p(b) + 3*y(b). Calculate q(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-18)*8\/328*(-30)\/20*12?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804 is divided by 330.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -5. Let a be 0 - 1 - (2 + -1). Let v(f) = 2*f**2 + 2*f - 1. Let s be v(a). Calculate the highest common divisor of s and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*q**2 - 14*q**2 + 2*q**2 + 13*q + 36*q**2 wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/2 (b) -1 (c) 1.1 (d) 31\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24417.\nAnswer: 3, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 < 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-3)\/12 - 70\/(-312)). List the prime factors of 2\/((-2)\/m*3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101101110000110110 (base 2) to base 7.\nAnswer: 6023012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5038*p**4 - 1511408*p**3 - 113357400*p**2 - 180000*p = 0?\nAnswer: -150, -4\/2519, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 15*x + 4 + 45*x - 23*x + 59*x in the form d + n*x and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 - 76 = u, 4*u + 12 = 0. Let j = 109 - r. Suppose 0*m + 2*m = j. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225940 + -54588. Let l = z - -286648. What is l rounded to the nearest ten thousand?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 11 = 4*i. Let s = -3 + i. Suppose 2*z + 5*y + s + 12 = 0, -3*z - 14 = 5*y. Solve 2 = 3*n - 4*q, 2*q + 0*q = n - z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*q - 26. Suppose -q*x = -4*x - 26. What is the greatest common divisor of x and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 + 39*s + 1084. Calculate the remainder when n(-15) is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9945505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 49 + 57, 4*q - 12 = 4*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175041 or 174814?\nAnswer: 175041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3103 + -220?\nAnswer: -3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3926 and 3737401?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6600 and 120.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 881944 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-6 - -2)*-1. Let z be (0 + l)*14\/21. Let o be (z\/(-2) - 2)\/1. Which is smaller: o or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1883*i - 111109. Give n(-59).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*z = 1241 - 4083 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -31 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*g + 26 = 0, -3*t = -g - 23 + 6. Suppose 4*a = 20, -3*s + t*a + 16 = s. Suppose 0*f = -s*f + 4527. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*23\/(-9867) - 517\/18447.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -353\/663 + 7\/39. What is the nearest to -1 in r, -0.4, -3\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 43*i + 3821. Calculate c(-89).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/9 + 21664*r**3\/3 + 176019998*r**2\/3 + 1055860036*r\/9.\nAnswer: 2*r*(r + 2)*(r + 16247)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(-4) - (-9)\/(-36). Solve 2*v = h - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 143392893 and -0.27.\nAnswer: 143392892.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**3 - 4*l**3 - l**3 - l**3 - 1 + 1 + l**3 + 3*l**3 + l**3 + 5*l**3 - 4*l**3 - 3*l**3 + (2*l**2 - 4*l**2 + 0*l**2)*(3*l + 2*l - 3*l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7 + 7 - n**2. Let z(d) = 2. Let o(p) = -16*p - 48. Let w(f) = -o(f) - 24*z(f). Calculate w(h(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 104*x = 100*x - 824 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -612 + 625. Suppose -12*l + k*l - 5*d = 8892, -5*l - d + 44408 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/11)*c)\/(c\/((c*c*c\/c**13)\/c*c))*(c*c\/((c*c\/c**(-4\/9))\/c)*c)**13)**45 assuming c is positive.\nAnswer: c**(4970\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 46. Suppose 4*p - 177 = -a*o, -3*o - 53 = -5*p - 203. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, 5, 0.08844, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.444 - -23.438.\nAnswer: 23.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 6. Let b be l(18). Let p = 38 + b. Is 70 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.01 (b) -0.2 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 2 + 35*z**2 - 1\/3*z**3 + 13\/24*z**4 + 0*z - 181\/60*z**5. Find the second derivative of j(s) wrt s.\nAnswer: -362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2290437334?\nAnswer: 2, 1145218667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = y + 3*m, 3*y + 4*m = m + 33. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 33*w = -120 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 787*s - 7098. Give v(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 b, and 1 o when four letters picked without replacement from owbbbroyyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*38*(-12 + (18 - 7)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26262819 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 9*t + 13. Let d(a) = a**2 + a - 1. Let w(c) = -5*d(c) + h(c). Let s be w(-15). Suppose -s = 3*b - 6*b. Solve -b = 4*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 7*c**2 + c - 9. Let t be b(7). Let m(h) = h**3 + 5*h**2 + 3*h. Determine m(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3563, -29914, -101819, -242054, -473395, -818618?\n\"Answer: -3796*h**3 - h**2 + 224*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-605*g + 32*g**3 + 605*g)*(-4*g + 2*g + 3*g + (8 - 3*g - 8)*(1 - 2 + 3)).\nAnswer: -160*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(-6*-6*6*sqrt(13)*2 + (sqrt(13) - (sqrt(52)*3)**2) + sqrt(39)\/(sqrt(9)\/sqrt(3))).\nAnswer: -868*sqrt(13) + 938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 22996 = -7*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*r = -42, -4*r + 5 - 1 = x. Suppose 0 = -x*v + 13*v - 375. Calculate the remainder when v is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1465 = 3*d, 1485 = 3*d - 21*p + 18*p. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v - 13. Let q = -13319\/2 + 6661. Let p(k) be the first derivative of -6*k + 16 + q*k**2. Calculate 9*p(c) - 4*r(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 57.3. Let l = -1.017 + 0.817. What is the third biggest value in c, -0.6, l?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.864 to two decimal places.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjvv when four letters picked without replacement from vvvvjvvvjjvvvvvvvj?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 5:34 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 10:46 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2716\/98 - (-1 + 10\/14). Calculate the highest common factor of r and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 3. Let m(y) = 11*y - 9. Let u(i) = i**3 + 8. Let g be u(0). Calculate g*f(p) + 3*m(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x + 0*x)*(3*x - x + 0*x) - 10*x**2 - 5891*x + 11774*x - 5883*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17689 - 4?\nAnswer: 17685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -3*d + 2*t - 25, 3*d - t = -4*d + 212 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20745671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a - 3. Let x(n) = -40*n + 15. Determine 11*c(t) + 2*x(t).\nAnswer: 8*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.3 (b) 0.9 (c) 2 (d) 3\/2 (e) 0.5 (f) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -1.45?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 75 + 3*t - 2*t - 78. Let q be s(3). Solve 0 = -5*n + 2*d - 18, 5*n + 23 = -q*n - 3*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*u + 9 = 31, -3*j - 4*u = -90. Suppose -5*h + 2*c - j = -3, 2*h = -3*c - 1. What is the units digit of 2\/h - (-407)\/55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*g + 27 = 6*n, n - 5*g = 21. Suppose n*u - 10 = 20. What is the derivative of u - 4 + 1 + 4 - 4*t wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, -29, -94, -191?\n\"Answer: -16*k**2 + 15*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2810940 is divided by 254?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.26 - 20. Let b = t + 0.14. What is the closest to -1\/3 in 2\/3, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71 and 568.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 equal to 5937\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/2142000 and 7\/1080.\nAnswer: 6426000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 637, 631, 629, 637, 661, 707, 781, 889?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/629 or -2?\nAnswer: -1\/629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74947 and 11771?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 5*f)*(-10*f**4 - 2*f**4 - 19*f**4).\nAnswer: -124*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 149*i + 10039. What is f(84)?\nAnswer: 1387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/113? (a) 3 (b) 1\/4 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -108665*n. Let k(w) = -40*w. Calculate d(k(t)).\nAnswer: 4346600*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((10080\/16)\/(-42)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29196?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3) - 7498\/3912)\/(980\/96)\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*k + 966, -t + 0*k = -5*k - 910. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19173 and 21868?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4560)\/(-513)*30\/(-50)*(-1026)\/(-72)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -486 - -488. Solve 25 = 3*f + w*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15978, 32034, 48122, 64248, 80418, 96638?\n\"Answer: o**3 + 10*o**2 + 16019*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4 = 0, 6*w - v - 2 = 9*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 430 - 646. Let b = 222 + h. Solve 0 = 3*c - 3*t - b, 0 = 2*t + 2*t + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-6) + (-170755)\/(-11076)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(152)\/(sqrt(32)\/sqrt(4) + sqrt(8)))**2.\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25533 + -26033. Which is greater: -498 or g?\nAnswer: -498","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240.1 + -236.1. What is the biggest value in f, -37, -4, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2256, -4500, -6734, -8958?\nAnswer: -11172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2514 is divided by 156.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**18\/((z\/((z\/z**(-2\/7))\/z))\/(z**(5\/3)*z)))**(46\/5) assuming z is positive.\nAnswer: z**(-782\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*n + 13*n + 2*n**2 + 0*n**2)*(2*n - 1 + 1).\nAnswer: 4*n**3 - 40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/12)\/(2*(-3)\/12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (73 - 72)\/((-1)\/(-753))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 8*p**2 + 3*p - 5. Let d be x(5). Let l(q) = 10*q**2 + 2*q - 4. Let c be l(3). Let y = c + d. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 235*a - 5638. Calculate p(-27).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6868 - -6870. Which is smaller: h or -1340\/7?\nAnswer: -1340\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -28 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 540 + 350 = 0. Let v = 297 - r. Suppose 4*g + v = 5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5991*j - 7186*j - 77675 = 0 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 + 5) - 5 - -4. Let d(h) = -h**3 + 3*h - 12. Let c(z) = z**3 - z**2 - 4*z + 12. Let b(m) = -3*c(m) - 4*d(m). What is the tens digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -2 + (3 - 12) + (-10 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -210, 5, -6 in descending order.\nAnswer: 5, -5, -6, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161051*o**5 - 520707*o**2 wrt o?\nAnswer: 9663060*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 15*k**2 + 9*k + 127. Determine h(-7).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85\/4 - -21. Let h = u - 1\/12. What is the nearest to h in 2\/17, -4, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:06 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1246008 millennia to centuries.\nAnswer: 1.246008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1.16, 3, 1\/4, 0.2, -11, 2\/7, 106?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1295 divided by -259.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 s when four letters picked without replacement from szcfzcsicsfccsff?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 87030.\nAnswer: 783270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 6*m + 2. Let p be s(5). Let q(h) = 12*h - 87 - 3*h - 41 + 10 - 24. Let d be q(16). Which is the nearest to p? (a) d (b) 2\/19 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 5.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -11*z + 13*z. Let n = z - -19. Which is the nearest to 0.2? (a) -0.5 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3712 = -3*l + 222368. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -65140\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.3 + -10. Let y = -4.24 + n. Let j(x) = -x - 4. Let d be j(-5). What is the nearest to d in -4, -3\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 21408.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, c: 1}. What is prob of sequence oc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -69 - (30 + -28)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 4. Let n(d) = -5*d - 20. Let q(o) = 7*o + 101. Let s be q(-32). Let u = 134 + s. Calculate u*c(j) - 2*n(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - t**4 + 4*t**4 + (0*t**3 + t**3 + t**3)*(6002*t + 6798923 - 6798923).\nAnswer: 12006*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from mmmoomomomomomommmm?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1645 is divided by 552?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/81358937 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 - 490*u**2 + 2 - 2.\nAnswer: -500*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52031, -208016, -467991, -831956, -1299911, -1871856, -2547791?\n\"Answer: -51995*g**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3151 + 3150.8. Let o = -2.5 - 0.5. Let r = o + -8. Which is the closest to 1\/3? (a) r (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101200121 (base 3) to base 14.\nAnswer: a027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109 - 85202\/780)\/(1\/2).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-4))\/(1079\/(-156) + 7). Suppose -4*g = 2*k - 13788, -4*g = i*k + 3445 - 17229. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 24*t**2 + 33*t - 33. What are the prime factors of w(3)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597 = -1124*w + 17511 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5170, 10271, 15372, 20479, 25598, 30735, 35896, 41087?\n\"Answer: t**3 - 6*t**2 + 5112*t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(-10)\/(-1). Let j = -8 + q. Let c(a) = -3*a**2 - a**3 + 1 - 3*a - a + 10*a - 6*a. What is c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12. Let z = -0.77 + 0.07. Let o = z - -2.7. Which is the closest to y? (a) o (b) -3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*g - 2*x, -3*g - 16 = -7*g - 2*x. Suppose 0 = a - 3*a - 4, -5*z - g*a + 29591 = 0. Let v = z + -15619. Round v to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.85*9.\nAnswer: -322.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4368*q**3 + 19 - 24 + 4370*q**3.\nAnswer: 2*q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4 and -41\/4653238.\nAnswer: 9306476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -44. Let x be 2*-3*(-8)\/k. Suppose -5*w + 184000010 = 2*c + 3*c, x*c - 73600008 = -2*w. Round w to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 17. What is the common denominator of (284\/(-12))\/((-4)\/f) and -49\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + 23*u + 16. Let z be t(-5). Which is the closest to 2? (a) 1\/3 (b) -5 (c) z (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvhhqhhkkkjhh. Give prob of sequence vhh.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2 - 48*y + 145. Give l(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 9*i**2 - 8*i + 5. Let t be k(-8). Let r = 3 + t. Let p = r + 17. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80) + (sqrt(80)*2 + -2)**2)) + (sqrt(80) + (4*(-1 + sqrt(80)))**2 - sqrt(80)).\nAnswer: -96*sqrt(5) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 6*a**2 - a + 11. What is q(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13369245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000067610969 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**2\/8 + 135*s\/8 - 159 = 0.\nAnswer: -53, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12.11. Let l = p - 0.29. Let d = 27 - 26.5. Which is the smallest value? (a) 0.4 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from vehhvegvhvgevvle?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 s, and 1 k when three letters picked without replacement from yssybkskbssbsys?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 - -109. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 divided by 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-115 + 60 + 71*u + 68 - 69*u)*(4*u - 9*u + 9*u) to the form p*u**2 + q*u + t and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*f + d + 20, -2*f + d = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16140891 divided by -1\nAnswer: 16140891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51466.58ml to litres.\nAnswer: 51.46658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -888 + 3556 - 24*y**2 - 893 + 2*y**3 - 886 - 890 in the form o*y + u + g*y**2 + c*y**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(0*a - 5*a + 3*a) + 184 - 3899*a - 537 + 176 + 177.\nAnswer: -3905*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 910238 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 3*t**2 - 5*t - 4. Let k be x(5). Suppose 3*v = 30 + 27. Calculate the greatest common divisor of v and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**3 - 77*d**2 - 2*d + 47*d**2 + 38*d**2 to the form h*d + s + v*d**2 + r*d**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12057206 is divided by 59.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-1 + 3) - -36 - -3. Suppose n - c = -38. Let v = 4 + 0. Solve -t + v*t + 12 = n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -80 (b) -9 (c) 2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by ((-21)\/(-6))\/(1\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -5*t**7\/21 + t**6\/30 - t**3\/2 + 51*t**2\/2 + 274*t. What is the second derivative of u(x) wrt x?\nAnswer: -200*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(605))**2 - sqrt(605).\nAnswer: -11*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-3) - 0\/4. Let n(w) be the first derivative of 2 + 3*w**2 - 4*w + j*w**3. Factor n(i).\nAnswer: 2*(i + 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 79569, 156059, 232549, 309039, 385529?\n\"Answer: 76490*l + 3079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461738?\nAnswer: 2, 19, 29, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -136\/3. Let z = -579 + 583. Let v be (-1 + 3)*1\/1. Which is the closest to p? (a) z (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 - 2493*c**2\/2 - 83895*c\/2 - 710651\/2.\nAnswer: -(c + 17)**2*(c + 2459)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -25. Let u = 0 - j. Suppose -5*f + 0*f + 5*v + 575 = 0, -355 = -3*f - 2*v. Calculate the highest common factor of u and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2 + 174117*l - 3135078 = 0.\nAnswer: -58057, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*(sqrt(2700) - (sqrt(2700) - 3*sqrt(2700))) - (1 + sqrt(363)*-3 + 1)) + 1)**2.\nAnswer: 426*sqrt(3) + 136108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13071360 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: Let g(c) = -c**2 - 6*c. Let t be g(-5). Solve t*i - 25 = 5*l, -5*i + 4 = 5*l + 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 2*h + 1 + 4, 16 = -4*i + 5*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3049, -11663, -25921, -45817, -71345, -102499, -139273, -181661?\nAnswer: -229657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:41 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 620684424.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 - g - 1. Let w(y) = y + 4. Suppose 0*i + 5*h + 10 = -4*i, 3*h = 2*i + 16. Let v be w(i). Determine u(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 328 + 62 = 0. Solve 20 = -3*h + q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(25\/15)*(-955)\/(-4202).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6*209.4.\nAnswer: -1172.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 7. What is the tens digit of c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - 0.8. Which is the third smallest value? (a) 0 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153624 (base 8) to base 13\nAnswer: -1c173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33604 - f - 33604.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 d when three letters picked without replacement from dxdl.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(9\/(-18)). Let f be -2 + (c - (1 + -1)). What is the greatest common divisor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160*-18.3.\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151.8 - 230.5. What is c rounded to zero decimal places?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573 divided by -34073.\nAnswer: 573\/34073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 8*d + 24 = -3*n, -2*d - 6 = 2*n. What are the prime factors of 1 - (-1671)\/9 - n\/18?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378 - 532 + 73 + 81 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*o - 10, 3*n + 5*o = -12 - 18. Let w be 2\/1 + n*1. Let f be (-12)\/(-176) + 2\/w. Which is the third biggest value? (a) 0.4 (b) 2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-16500\nAnswer: -165000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - a**3 + a**2 + a**2 - 5*a**2 - a**4 to the form f*a + m*a**3 + v*a**2 + l*a**4 + u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2695.723 micrograms to nanograms.\nAnswer: 2695723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -300879\nAnswer: 2\/33431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*j + 63121 = -656*j - 625*j - 252*j for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:11 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00333412 rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)*l**(-6))**(2\/17) assuming l is positive.\nAnswer: l**(-21\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 10\/(-25)*(-33 - 9\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*h - 28, -4*c = h - 16 - 1. Let s(m) = -m + 7*m + 6*m - 5. Is s(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/(-1120))\/(-11)*22\/((-2244)\/85)\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 1 - 2*a)*(-375*a**2 + 450*a**2 + 300*a**2).\nAnswer: -750*a**3 - 375*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 3*z**2 - z + 12. Let c be m(-4). Sort c, -5, -2, -79 in ascending order.\nAnswer: -79, -5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - (-4 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 54*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (435678\/8)\/(0 + (-2)\/(-8)). Suppose r + b = 4*j, -4*j = 4*r - 3*r - 217849. Let x = 2614001\/48 - j. Calculate the common denominator of x and -29\/40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38887852 equal to 194439266\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 3:07 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00616931 rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 24. Let q be l(-9). What is the highest common factor of q and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14708141, 29416264, 44124387?\nAnswer: 58832510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2*g**3\/3 - g**2 + 6*g + 329. Determine l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5146 and 323036.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + q**2 - 3)*(12*q - q + 3*q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p**3 + 3*p**2 - 3*p**2)*(-p + p + 2*p) - p**4 + 2*p - 2*p - 2*p**4 - 4*p**4 + 5*p**4)*(0 + 0 + 2*p).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, u: 3, z: 5, m: 3, s: 2}. What is prob of picking 1 z and 2 m?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 3.2. Let k = 6.5 + -6. Which is the smallest value? (a) k (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (3 + -3 - -6) + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, w: 3, y: 4}. Give prob of picking 2 w and 1 n.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3 - (-22 + 3 - (13 + -16))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12705, 12695, 12687, 12681, 12677?\n\"Answer: v**2 - 13*v + 12717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -21717*q**3 - 114*q - 114. Let d(t) = -944*t**3 - 5*t - 5. Determine -114*d(m) + 5*n(m).\nAnswer: -969*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39939 + 13677. Let j be 2\/(-4) + a\/(-12). Let l = j + -1469. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 9*a + 2. Suppose 0 = 2*h + h - 27. Let c be y(h). Solve -v = 2*r - 10, -v + r = -r + c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 11. Calculate the highest common divisor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129.23 + -2.23. Let r = h + -115. Sort -0.1, r, -0.2 in ascending order.\nAnswer: -0.2, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 12, v: 6}. What is prob of sequence vvjv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5 + 216*h**4 - 834*h**3 + 1236*h**2 - 819*h + 204 = 0.\nAnswer: 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -38, -12, 38, 118, 234, 392?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.3, 286, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 7*c + 1. Let r(v) = 11*v**2 - 14*v + 2. Let s(n) = -9*b(n) + 4*r(n). What is s(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5\/6 - 10*x**4\/3 + 25*x**3\/6 - 5*x**2\/3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89843 is divided by 3238?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 15*k**2 + 4*k - 11. Let z(a) = a**3 + 8*a**2 + 2*a - 6. Suppose -18*v = 10 - 118. Determine v*u(o) - 11*z(o).\nAnswer: o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - -3)\/1)\/((-2)\/(-379)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7333172632 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2 - 1978. What are the prime factors of l?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -13*f**2\/2 + f - 11. Let m be a(1). Let g = 25 - m. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 103848*v - 207695\/2.\nAnswer: -(v + 1)*(v + 207695)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-252)\/33)\/7*4653\/(-94). Calculate the highest common factor of a and 3222.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*r**5 - 50*r + 19*r**5 - 9*r**5 - 5*r**5 wrt r.\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103246 divided by 103246?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*(-12)\/24)\/(690\/(-184))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 2. Suppose -7 - 5 = 4*o. Let v be g(o). Suppose v*q + 2*n - 70 = -3*n, -4*q - 3*n = -51. Solve 0 = 3*k - q - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 - (-11*72\/2772)\/((-1)\/42)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.6, -23, 2, -0.3, 0.3 in decreasing order.\nAnswer: 2.6, 2, 0.3, -0.3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 = 2*v + 5*d - 246, 12 = 4*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3144 = 943*c + 3330 - 1759 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m + 15. Let n be s(1). Solve n*h = -2*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + n - 3*n + (-1 - 1 + 4)*(-5*n - 2*n + 5*n) + 5*n - 5*n + n + (-4*n + 3*n - n)*(0 - 3 + 2).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from bfbfbfybbbyidydbibb?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 524237207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 11:14 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 3 (c) -47 (d) -2 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -0.08. Let u = -0.5 + 0.8. Let y = -8 + 7.9. Which is the closest to y? (a) g (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 0, 4, -2, -12, -1 in ascending order.\nAnswer: -40, -12, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z - 1575 = -45*z. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -307, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 521808 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9690\/(-7)*462\/(-99)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11736 (base 9) to base 10.\nAnswer: -7890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4805226 to 3 dps.\nAnswer: 0.481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 35*k - 1995. Give s(59).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 591, 861, 1095, 1281?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11 (b) 3\/4 (c) 4\/13 (d) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {w: 1, l: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**2 - 5. Let j(n) = -4*n**2 - 3. Let a(u) = -3*d(u) + 5*j(u). Let x(l) = -3*l. Give a(x(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 179, 362, 599, 890?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/(((-1264)\/2370)\/(8\/(-3))).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 17. Let u(z) be the first derivative of -3*z**2\/2 - 52*z - 5. Calculate the least common multiple of u(-22) and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 0)*(2 + i - 2)*(0 + 3 + 0).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, u: 6}. Give prob of picking 3 v.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-3 - 0\/(-3)). Solve 0*v + v = r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156677 times 0.0946?\nAnswer: -14821.6442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164194, 656803, 1477818, 2627239, 4105066?\nAnswer: 5911299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 54. Let o(d) = -3 - 12*d**2 + 1 + 31*d**2. What are the prime factors of o(w)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 4829802?\nAnswer: 24149010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13042041.\nAnswer: 3, 31, 140237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 9*v**2 + 760*v + 768.\nAnswer: -(v - 24)*(v + 1)*(v + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-30)*((-135)\/(-12) - 6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/((-8)\/24). Which is smaller: 1\/8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/20 + 2364*c**2 - 2*c - 3. Let b(l) be the second derivative of 35*l**4\/12 - 2*l. Calculate m(b(f)).\nAnswer: 3675*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5204818m?\nAnswer: 520.4818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6638, -6655, -6684, -6725, -6778, -6843?\n\"Answer: -6*z**2 + z - 6633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 + 51 - 11*q**2)*((-1 + 0 + 0)*(3 + 2 - 3) - 7 + 7 + 9) - 2*q**2 - 2*q**2 + 2*q**2 as d + p*q**2 + w*q and give p.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31776?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 5174 = 5140 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 3*f**2 + 4*f + 5. Suppose -11 + 14 = -w. Let a be m(w). Let n = 57 + a. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*k + o + 1694, k - 5*o = 588. What are the prime factors of k?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 455\/520*4\/(-70)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by 120?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*117240\/16. Let c = -15990 - g. Let h = 28895 - c. Round h to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96030 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 - 4*y + 4*y + (-26*y**3 - 5 + 5 + (3*y - 3*y - y**2)*(4*y - 5*y + 3*y))*(2*y + y - 5*y) to f + q*y**4 + h*y**2 + r*y**3 + d*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*o - 21, -5*p + 0*p - 20 = 0. Suppose 7*u = o*u - 4*q + 152, 181 = 5*u - 4*q. What is the remainder when u is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 - -405. Let v = 293 - d. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/5391786 and 21\/89072.\nAnswer: 819551472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6117*q**3 + 437 + 14198*q**3 - 4210*q**3 with respect to q.\nAnswer: 11613*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-6)\/7 - 0. Suppose -1 = 3*y - 5*c, 0*y - 5*c = -4*y - 3. Let k be (y*2\/(-4))\/1. Which is bigger: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 189*d - 1267. Determine x(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40588.563 rounded to the nearest one hundred?\nAnswer: -40600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -936*x**2 + 1719*x**2 - 7 + 2807*x + 1323*x**2 + 7 wrt x?\nAnswer: 4212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47663?\nAnswer: 7, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 76*j**3 + 2*j**2 + j - 2. Let z be d(1). What is the highest common factor of 44 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/2339896 or 0.1?\nAnswer: -7\/2339896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/30 - 7*o**2. Let x(j) = -9*j**2 - j. Give x(d(c)).\nAnswer: -36*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 376.66 and -0.066.\nAnswer: 376.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -7 (c) 156.3811 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9*j - 355. Suppose 3*p - 4*b - 152 = 548, 0 = p - 5*b - 248. Let d = p + j. Is 41 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21197*a**4 - 4*a**3 + 58*a**2 + 1 wrt a.\nAnswer: 508728*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-730)\/(-80) + -9). What is the greatest common divisor of 232 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94)\/(-47)*1\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2049312, -2049299, -2049274, -2049231, -2049164, -2049067, -2048934?\n\"Answer: p**3 + 6*p - 2049319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxxxxngunngnunrnr. What is prob of picking 1 u, 1 g, 1 r, and 1 x?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -114, -114, -116, -120, -126, -134?\n\"Answer: -d**2 + 3*d - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 455?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/3 + 962*i**3\/3 + 47012*i**2\/3 + 499822*i\/3 - 649543 = 0. Calculate i.\nAnswer: -911, -31, -23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/151 - -6362\/755. Let g(s) = s**2 + s - 12. Suppose 0 = 2*x + 3*m + 10, 3*x + 2*m + 15 = 3*m. Let u be g(x). Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 218*a**2 - 18*a + 17. Is k(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, s: 2, k: 2}. Give prob of picking 1 k and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10033 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (129\/(-1419))\/(1\/3)*(-4)\/3.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 2616.6344\nAnswer: -2616.2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/36)\/2 - 338\/(-18). Calculate the greatest common factor of n and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67966290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5 + 1. Let r be 10\/6 + o\/(-6). Find the second derivative of -r*v**3 + 3*v - 3*v**2 - v + 3*v**2 wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v\/v**(-4))\/((v\/v**(-1\/4))\/v)**(-38))**(-2) assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 40 = 5*f. Solve -3*x = -4*c - f, -4*x = -3*x - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78311.13kg?\nAnswer: 78311130000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -25468403.\nAnswer: 3\/25468403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 9*d**2 - d - 9. Let w be z(4). Let n = -70 + 10. Let r be (312\/n)\/(2\/(-5)). Solve -4*i + w*i + g - 5 = 0, 0 = 3*i - g + r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:32 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, -0.5 in decreasing order.\nAnswer: 14, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3591881 and 470.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*g**2 - 535*g + 150.\nAnswer: 5*(g - 15)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -165 - -9?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 5, u: 4, x: 4, f: 1}. Give prob of sequence fffs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, z: 2, a: 3, d: 2, r: 3}. Give prob of sequence zz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/(-295)*(50\/(-4))\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - b - 1. Let i(h) = 3*h + 11. Let u(w) = -i(w) - 4*s(w). Let f(m) = -11*m**2 + 3*m - 20. Determine 6*f(z) - 17*u(z).\nAnswer: 2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30481, -60191, -89885, -119557, -149201, -178811?\nAnswer: -208381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 - 165 = 34*g. Let d(m) be the second derivative of -11*m + 0*m**g + 1\/20*m**5 + 0 + 0*m**2 + 1\/6*m**4. Find the third derivative of d(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/15 + (-4)\/(-15))*6. Suppose -52 = -4*k - d*g, -3*k + 79 = -3*g - 2*g. What is the third biggest value in k, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at least -8\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-80)\/50)\/(195\/(-1200)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -478598 or -5743193\/12?\nAnswer: -478598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -800, -955, -1234, -1697, -2404?\n\"Answer: -10*i**3 - 2*i**2 - 79*i - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-1*(-124)\/(-62)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -d + 3*d - 10, -2*h + d = -10. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4411889\nAnswer: 2\/4411889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -187720.9753 rounded to the nearest one thousand?\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23196 - 20904. Solve 48 = i*x - 2280*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622691 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: Suppose 0 = -8*m + 5*m + 4*b + 52, -4*m - b = -44. Suppose 0*u = 2*u - 2*r - m, -2*r = 2*u. Suppose 4*j - u*j - 6 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1590, 1586, 1580, 1572, 1562, 1550?\n\"Answer: -n**2 - n + 1592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyluhnllnunl. Give prob of picking 2 n and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t - t + 3*t to q*t + m and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-27)*3\/(-3)*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95.68 + 1.68. Let f = -89 - g. Are -3\/4 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496047?\nAnswer: 3, 165349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**4 - i**3 - 602553*i - 8919891.\nAnswer: 8*i**3 - 3*i**2 - 602553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-88)*(-18)\/45?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 40986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 6*k - 21)*(3*k + 151 + 9*k - 138).\nAnswer: -72*k**2 - 78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*q + 10, -2*k = -23*q + 27*q - 18. Which is the second smallest value? (a) q (b) 4\/7 (c) -0.8 (d) 0.4 (e) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(2*g + g + 4*g)*(2*g**3 + 0*g + 0*g + (-335 + 335 + 65*g)*(5*g**2 - 2*g**2 - g**2) + g**3 + 0*g**3 - 3*g**3).\nAnswer: 1820*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/56)\/(((-25155)\/26)\/43)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - 72?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 742683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 148*c**2 - 2232*c - 666. Calculate y(-131).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1192*f**2. Let q(p) = -28*p. Calculate y(q(s)).\nAnswer: -934528*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, p: 1, v: 1, k: 3, h: 2, z: 10}. Give prob of picking 1 p, 1 k, 1 z, and 1 b.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.18. Let a = g + 3.82. Let x = a + -3. Put 1\/3, 2\/3, -0.5, x in decreasing order.\nAnswer: 2\/3, 1\/3, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 8. Let i be l(6). What is the smallest common multiple of (8\/(-10))\/((-4)\/i) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 120 = 5*w - 41, -2*w = -5*s - 125. Let u = s + 23. Let c(h) = 201253*h + 12. Let g be c(u). Round g to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*24\/21*-1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9460 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21510 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 35. Let w be c(7). Suppose -301*g + 305*g = w. Solve g = 4*m - 16 + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:16 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00196 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5864061 or 0?\nAnswer: -1\/5864061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/16 - -3) + 105\/84. Let v(o) be the third derivative of 5*o**4\/6 + 3*o**3\/2 - o**2. Is v(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t**(-8))\/(t**(-1)\/t**(-1\/6)) assuming t is positive.\nAnswer: t**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -22*q + 19*q. Suppose 4*h + 2*o - 2472 = -598, q*o = h - 496. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4349 = -4*k + 1261, n + 4*k = 632. Let i = 4350\/7 - n. Which is the fourth smallest value? (a) 0.3 (b) 2\/9 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) -1609\/4 (c) 0.2 (d) 1\/6 (e) -3 (f) -0.05 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 58, 57, 58, 61, 66?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5538 times -0.233?\nAnswer: -1290.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (140 - 138 - (-10 + 1))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 9. Suppose 5*v + 5 = -15. Let z = v + 7. Solve 23 = h*x + z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggtigtitigttgiggig. Give prob of picking 1 g and 1 t.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -129*a - 35. Let j(k) = -63*k - 18. Let s(b) = 13*j(b) - 6*q(b). Let i(w) = w - 2. Let l(d) = -3*i(d) - s(d). Differentiate l(f) with respect to f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - o + 7, -7476 + 3738 = -2*v + o - 3725 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 22*j**2 + 2*j - 1. Let h be a(1). Let m = -8 + h. Which is smaller: m or 16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)*l)**(-14)*l**(-2\/13)*l**1*(l*l**(1\/3))**(37\/5)\/(l**5*l\/l**(1\/3)) assuming l is positive.\nAnswer: l**(328\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:07 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1145, 4, -1, 258.\nAnswer: -1, 4, 258, 1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(-2 - 2*c**3 + 2) + 14*c**3 + c**3 + 3*c**3.\nAnswer: 22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 669*h**2 - 141*h**6 + 2*h**5 - 37*h**5 + 6*h**3 + 286*h**6 - 9005*h**2 - 142*h**6 wrt h?\nAnswer: 360*h**3 - 2100*h**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1606 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 4, f: 1, d: 3, n: 2}. Give prob of sequence dnd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 66033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {l: 5, q: 4, v: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) -1\/10 (c) 2 (d) -1\/1819 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1101 and 2206037.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1\/2 + 2. Let x(p) = -4*p**2. Let u(q) = 4*q - 153. Let y be u(38). Let d(v) = -v**2. Let n(m) = r*d(m) + y*x(m). Let g(f) = -2*f**2. What is g(n(h))?\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + (-92)\/(-28). Suppose s = 5*p - 2. Let y be (-129)\/(-9) + p\/(-3). What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*13\/728*-20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**11\/18480 + d**7\/2520 - d**4\/6 + 4*d. Let a(z) be the third derivative of m(z). Find the third derivative of a(q) wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-10) + (9798\/(-1365) - 72\/(-9)). Sort 57, h, -3 in decreasing order.\nAnswer: 57, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 51 = 15. Is 6 a factor of (-3766)\/(-21) + b\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-3))\/o)**(-15\/2)*o**(-2\/17)\/o**(-16))**(8\/15) assuming o is positive.\nAnswer: o**(-60\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4. What is the smallest common multiple of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*v**2)*(3*v + 0*v + v) - 4*v**3 + 3*v**3 - 2*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312915417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 4, -58, -5, 3, 17.\nAnswer: -58, -5, -4, 3, 4, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0143826 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 + 20112?\nAnswer: 11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646606581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000348011286 rounded to seven dps?\nAnswer: 0.000348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**4 + 24*g**3 - 69*g**2 + 82*g - 36. Let y(q) = 51*q**4 - 240*q**3 + 690*q**2 - 819*q + 360. Let x(c) = -21*r(c) - 2*y(c). What is w in x(w) = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 6)*0\/(-2). Let i(d) = -27*d + d**2 + h + 31*d - 3. Suppose -2*r = -2*y - 4, y = 4*r + 5 + 2. Give i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 25869*t - 1 - 25962*t.\nAnswer: -93*t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2. Let z(x) = 31*x**2 - 12*x**2 - 12*x**2 - 3*x**2 - 204 - 2*x**2. Determine l(z(j)).\nAnswer: 4*j**4 - 816*j**2 + 41616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(-4)\/(-48)*-12. Let s(g) = 3*g + 41. Let a be s(k). Calculate the common denominator of a - 201\/(-24)*-4 and -149\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 2*s - 19109*s**3 + 19076*s**3 + s**2 to v + i*s + c*s**2 + h*s**3 and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166b22 (base 12) in base 13?\nAnswer: -9105cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j. Let y = -1.8 + 2. Which is the closest to j? (a) y (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2194385*m**3 + 3091067*m**2?\nAnswer: 13166310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9389?\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*-1*5019\/(-1434)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.87495332 to the nearest integer.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/15)\/((-2)\/(-5))*8. Suppose f*a = -16*a + 672. Let h = 10 - 8. What is the smallest common multiple of h and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24187\/6 - -412847\/102. Let g = 685\/34 + f. Find the common denominator of g and (-2)\/5 - 131\/(-90).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312527?\nAnswer: 312527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535172891 to the power of 1\/3, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**4 - u**2 + u. Let k(r) = 7*r**6 - r**4 - 7*r**2 + r. Let j(h) = k(h) - v(h). Find the third derivative of j(c) wrt c.\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 75*r**2 + 931*r - 88. Is v(63) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 2*y**2 + y + 2. Let a be h(-2). Let o = 18 - a. Suppose -3*p = 2*u - 174, 0 = 3*p - 8*p + o*u + 306. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.26 at least 26797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 1\/5, 6, -2.\nAnswer: -69, -2, 1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + v**3 + 2 + (-2 + 2 - 5*v**2)*(24 + 36 + 362*v - 61).\nAnswer: -1809*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 3*r - 106 + 411 - 305.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 20*q**2 - 44*q + 4. What is t(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7 times -48.18?\nAnswer: -467.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5.220724 * -0.4\nAnswer: 2.0882896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.5 - -32.7. Let g(c) = -3*c - 27. Let o be g(-8). Sort 3\/2, h, -1\/6, o.\nAnswer: o, -1\/6, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 14*k. Let l be c(-7). Solve l = -0*y + 3*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {p: 1, r: 1, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 787230 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -814b5c + 0?\nAnswer: -814b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c. Suppose c = -0*m + 5*m. Solve w - 9 = 5*b, -2*b = -m*b + 3*w + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28011277.219 - 21.\nAnswer: -28011298.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/7785 and 113\/114.\nAnswer: 295830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 182 - 53 = -78 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13398.934 rounded to the nearest ten?\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(77)*-3)\/(sqrt(448) + (-1*sqrt(448) - sqrt(448)) - (sqrt(7) - (sqrt(343) - (sqrt(343) - sqrt(343)*1)))).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1453 - -1471. Suppose 5*c + 3*v - 10 = 0, 0 = 5*c + v + 3*v - 10. Put -1, -2, d, c in descending order.\nAnswer: d, c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339618 divided by -138\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - r**2 + (0*r - r - r)*(r + 2*r - 5*r) + 4 - 4*r**2 - 4 + (r - 4 + 4)*(3*r - 3*r + 2*r) - 1 + 1 + 2*r**2 - 3*r**2 + 3*r**2 + 3*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/110 and 19\/11792.\nAnswer: 58960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 0.02, 2, -1\/4, -626\/453?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igqccqqgc. What is prob of sequence gcg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 735 - 21*o**3 - 50*o**2 - 18*o - 735 + 20*o**3 in the form r*o**2 + n + z*o + s*o**3 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 2*f + 5*x - x, -3*x - 126 = 3*f. Let s = 2073 + -2062. Let a = f - s. Which is smaller: a or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:13 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.9058 - -40.9. Let j = o + 4.0058. What is the nearest to -1\/5 in -0.3, 0.3, -2, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*y + 197 - 37 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14719062257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 - 185*a**2 + 2130*a - 7200 = 0.\nAnswer: 6, 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -145\/4603?\nAnswer: -145\/4603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + m**2 - 2*m**4 + (5*m**2 + 5*m - 5*m)*(6*m - 5*m - 11*m)*(-m - 3*m + 5*m) as t*m + z*m**2 + g*m**3 + p*m**4 + v and give p.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5505625 and 492155.\nAnswer: 1414945625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1213112110 (base 4) to base 5\nAnswer: 102021231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -48. Solve 4 - 7 = m*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13026379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -23. What are the prime factors of x*(0\/3 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -90, -155, -244, -357?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 219 = 284 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m**2 + m + 15684 - m**3 - 2*m**3 - 15685 - m**3 in the form k + i*m**3 + r*m**2 + d*m and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 - 709 + 79 = -26*j + 192 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60884a (base 12) to base 16.\nAnswer: 1702ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/(sqrt(144)\/(1*sqrt(12))))\/(4*sqrt(1296)*1).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 98 - a9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + 861. What is the greatest common divisor of z and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*c + 2364 = -336 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 200 or 61?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 2*x - 35843 + 7*x + 4*x + 35839.\nAnswer: 5*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1201*m. Let y(n) = 44*n**2 - 44*n**2 - 3*n**2. Calculate y(g(u)).\nAnswer: -4327203*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 3:52 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91659516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**0)\/g))\/g)**(-13\/5)*g**(2\/7)\/(g*g**(-11)) assuming g is positive.\nAnswer: g**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/12)\/(9\/(-6))*((-496)\/36)\/(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swo. What is prob of picking 1 s and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + 22769*d**4*k - 9*d**2*k - d**2 - 9*d*k - 2*d wrt d?\nAnswer: 120*d**3 + 546456*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70228 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**3 + 81*p**2 + 3*p + 43. Give s(-9).\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/3, 2, 2\/19 in ascending order.\nAnswer: -2\/3, 0, 2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 2, n: 1, m: 4, p: 3}. What is prob of picking 1 e and 1 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/6*((-8)\/(-4))\/(1\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 + 1 - 244979*z**2 + z + 244803*z**2 to the form j*z + o + d*z**2 and give d.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97\/2 of a decade?\nAnswer: 5820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l + 1. Let f(i) be the third derivative of -7*i**4\/24 + i**3\/6 + 2*i**2. Suppose 846*j = 243*j + 3015. What is j*f(a) - 3*u(a)?\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(2\/(-220)*11)\/((-4)\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242 + (-2 - (-2 - 3))?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90779 = -7*s + 32035. Suppose 0 = -2*z + 2*u - 4, 4*z - 2*z + 4*u + 4 = 0. Is s\/24*6\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i + 25. Let a be l(-6). Let y be (1 + 102\/(-36))\/(a\/(-6)). Calculate the highest common factor of 517 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**2 - 79. Let z(r) = -2*r**2 - 2*r - 2. Let g(a) = -a**2 - 3*a - 3. Let c(y) = -2*g(y) + 3*z(y). Calculate c(m(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111671162 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2552 divided by 638\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1536 + -1405. Let n be 133 + -1 + 2 + -3. Let b = n - v. Solve b = 2*o - 7 + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 - -7204?\nAnswer: 7246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 4, o: 3}. Give prob of picking 2 d and 2 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - s**2 + 3*s**2 + 38 - 17 - 16*s - 43*s**3.\nAnswer: -43*s**3 + 2*s**2 - 16*s + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:58 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301*1\/7*7?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/14 + 347*h**4\/84 + 46*h**3\/21 + 228*h**2. Let s(u) = 0. What is u?\nAnswer: -23, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 222 = -48. Suppose 52*a - r*a = 14. Let f(i) = -2*i + 2. What is f(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 39*h - 353*h)*(3*h - 2*h - 3*h)*(-7*h + 2*h + 3*h).\nAnswer: -1280*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-2 + 36\/15)*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14) - (-4 - 60\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -740.00000677 + 740. What is l rounded to seven decimal places?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 667738215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:22 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 - 3*y**2 - 4*y - 3. Let v be d(-2). Suppose -6*m = -m + v. Which is the closest to 0.2? (a) 0.4 (b) m (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20.73, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/3))**(-35)\/(g*g**(2\/3)*g**(-2\/19)) assuming g is positive.\nAnswer: g**(-473\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.42 - -197.58. Let f = -87 + c. Let b = f - 110.99917. Round b to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2467\/42 - -564\/7. What is the common denominator of -59\/3235 and q?\nAnswer: 19410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -415 (base 11) to base 2.\nAnswer: -111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 - 4*h**2 + 15. Let s(t) = 7*t**3 + 7*t**2 - 29. Let r(q) = -5*a(q) - 3*s(q). Determine r(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 40*p**4 + 18485*p**3 - 186085*p**2 + 167560*p = 0.\nAnswer: -472, 0, 1, 71\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/9 - 128*m**2\/9 + 2170*m\/9 - 3844\/9 = 0.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v*v*v**13\/v)**(-42)*(v\/(v**(-2\/11)\/v)*v)**(1\/36)*(((v\/(v**6*v))\/v)\/v)\/(v*v\/(v\/(v\/(v\/v**(1\/4)*v*v)))*v*v) assuming v is positive.\nAnswer: v**(-84067\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162519419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -437\/70 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 14*b - 22. Let r be p(-12). Suppose -r*y + 8 = -y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3\/5 (c) 2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpncqxllxqqc. What is prob of sequence lqq?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2 + 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 - 3*w + 3. Calculate the remainder when j(5) is divided by 754\/39 + (-2)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -60*m - 137. Let f(u) = 47*u + 135. What is 5*f(v) + 4*o(v)?\nAnswer: -5*v + 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/14 and -37\/1241.\nAnswer: 17374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 13) in base 12?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623525?\nAnswer: 3, 5, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, -34, 45, -4 in decreasing order.\nAnswer: 45, 1, -4, -20, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*g - 191 = w, 5*w - 293 = 2*g. Which is bigger: w or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/36 and -137\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w + 11. Let l(g) = 140*g - 112. Give 5*l(o) + 49*q(o).\nAnswer: 14*o - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*v - 1264, 4*v - 7*k = -2*k + 989. Suppose 240 = l - v. Suppose 0 = 7*w + 85 - l. Calculate the remainder when w is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32106355320 + 0?\nAnswer: -32106355320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 21 = -3*z, 23*k = 20*k - 3*z + 27. Let w = -71 - -75. Solve w*a - 8 = -i + 2*i, k = 3*a + i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 + 17*j. Let l be r(9). Let n be ((2\/4)\/(l\/18))\/1. Which is greater: 1\/11 or n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -5. Let m = 4 - 0. Suppose 0 = k + j, 0*k - 5*k + 27 = -m*j. Solve -1 = -k*p + 2*y, -5*p + t*y = -5 - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18902 divided by 6?\nAnswer: -9451\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.99777 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 80543?\nAnswer: 80546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1)\/((7 - (13 - 5))\/(-1248829)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -0.5, 5.424, 4, -1.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, w: 5}. What is prob of picking 2 q and 2 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 365 - 629 = 0. Let n = -283\/2 + u. Is n != 2\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 911, 3634, 8173, 14528?\nAnswer: 22699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7)*h\/h**(-6)*h)\/(h\/(h\/(h\/h**0)*h)*(h**4\/h)\/h))\/((h*h\/h**(-6\/7))\/(h**(-1\/11)\/h))**(-1\/11) assuming h is positive.\nAnswer: h**(-543\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/92 and 123\/51230330.\nAnswer: 2356595180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -1432?\nAnswer: -1431.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-20) + (-163)\/5. Calculate the remainder when 323 is divided by (6\/4)\/(u\/(-384)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77916*u**3 - 154151.\nAnswer: -233748*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 32.2. Let w = n + 0.1. Let i = -135 + 677\/5. Sort i, w, 1 in increasing order.\nAnswer: w, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 - -226. Let b = -80.1 + g. Let m = -3.4 + 3.7. What is the fourth smallest value in 1, b, 0.2, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 27*b**3 + 34*b**2 + 22*b + 2. Let g(z) = -16*z**3 - 19*z**2 - 12*z - 1. Let f(a) = -5*g(a) - 3*t(a). Let u(o) = -2*o. Let c be u(3). Determine f(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 1. Let h be q(-6). Let s be -98 - (-6)\/(-1 - 2). Let b = -37 - s. Calculate the greatest common factor of b and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 2. Let d be j(-6). Suppose 30 = 4*o + 18. What is the third derivative of 23*m**2 - m**2 - 4*m**6 + o*m**6 - d*m**6 wrt m?\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -17*o**2 + o + 2. Let p(d) = 18*d**2 - 2*d - 2. Let u(a) = -2*p(a) - 3*z(a). Let b be u(1). Let r be (-12)\/42 + 130\/b. Solve -5*q = -1 - r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28991 + -28914. Calculate the remainder when 1064 is divided by k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pggj when four letters picked without replacement from gjjgjjpp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1653886, -1653915, -1653944, -1653973, -1654002, -1654031?\n\"Answer: -29*d - 1653857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -46, -1\/4, -2\/7 in ascending order.\nAnswer: -46, -3\/7, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y + 10 = 4*h + 27*y, 2*h + 2*y = 12. Let m(g) = g - 12. Determine m(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*c + 1 = 3, 2*r = 4*c + 8. Let f = -2 + r. Solve f = 2*n - 10 + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*d - 22 = 2*a, -12315*a + 15 = 12316*a - 24634*a - 3*d for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11009873447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -61. Let u be ((-312)\/18)\/(4\/i). What is the tens digit of (-6)\/18 + u\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*z + 111*z - 100*z - 20*z.\nAnswer: 71*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:21 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 4. Suppose -27 = -2*l - d, 4*d - z = -1. Let r = 7 - l. What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -15. Let y be 1\/(5\/(-3)*3). Is i >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304165783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25202 (base 8) to base 4\nAnswer: 2222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00642 rounded to 4 decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-38740)\/390)\/((-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2. Suppose 3*f = 2*f + 5. Let s(k) = f*k**2 - 7*k**2 - 4*k**2. Determine 5*b(z) - 4*s(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6798939445 and 650.\nAnswer: 6798940095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4 + 4*u**2 - 2*u**2 + u**3 - 3*u**2 + 3. Let i(x) = -x**2 - 8*x - 4. Let h be i(-8). Let a = 4 + h. What is o(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0 - 3 - 3 + g**2 - 6*g. Suppose -d + 0 = q - 9, -3*d - q = -23. Calculate h(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6716, 26930, 60618, 107780, 168416, 242526, 330110?\n\"Answer: 6737*j**2 + 3*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0 - 1\/65*h**6 - 19\/130*h**5 - 6\/13*h**2 - 253*h - 1\/2*h**4 - 29\/39*h**3. Find u, given that c(u) = 0.\nAnswer: -3, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y + 2*y. Let s(r) = 18*r**2. Calculate the lowest common multiple of s(y) and 4\/16*2*36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 2\/15*n**3 + 0*n**5 - 1\/75*n**6 + 0 + 0*n**2 - n + 1\/10*n**4. Find x, given that d(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 3*t + 18, 142 = u - 2*t + 77 + 77 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*k**2 - 18*k - 82*k**2 - 24*k + 79*k - 37*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from bbgbmsbf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 50*p + 234. What is w(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/233 and -0.065549 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 13421*c - 13421*c + 3*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, z: 1, w: 1, u: 2, e: 1}. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/181145752 and 89\/8?\nAnswer: 181145752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1289 divided by -3\nAnswer: 1289\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 6*x**2 - 5*x - 10. Suppose k - 2 = 5. Let u be m(k). Suppose -u*p = -4*j - 12, 2*p + 4*j = -0*j + 18. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((1*sqrt(180)*3*6 + 0 + sqrt(180) + sqrt(180) + 3 + -1)*-4)**2 + 1).\nAnswer: 15360*sqrt(5) + 2304130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -14*u + 5*u - 16 - 6*u - 9 - 6 + 2*u**2. Let v(w) = w**2 - 7*w - 15. Calculate -6*s(m) + 13*v(m).\nAnswer: m**2 - m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0\/(-4) + (1 - -1))\/(71\/583336)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213 + -337. Let v = -6 - z. Let k = -64 + v. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/150)\/((-7138)\/(-5)). Let z = u + 481771\/235554. Calculate the common denominator of 95\/16 and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (1*sqrt(117)*1 - sqrt(117) - sqrt(117)))\/(sqrt(9) + sqrt(9)*-3*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/4)\/y*y**(-2\/33)*y\/y**(2\/17)*y*y**(1\/10) assuming y is positive.\nAnswer: y**(13147\/11220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3 (c) -0.01 (d) -1\/4 (e) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201101112 + -1?\nAnswer: 1201101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 2. Let n be 74\/(-6) - (-2)\/6. Let l = n + 21. Suppose 5*c + 3*s - l = 0, -3*s = 4*c - 13 + 4. Determine j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*t)*(0 - 1 + 3) + (0 - 2 - 20)*(t + t - t) to y*t + d and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6)\/(-7))\/(435\/8536150)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b + 28. Let l be v(6). Suppose -4*j + 5*j - 4 = 0. Let t = 10 - j. What is the highest common divisor of t and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 - 3*n + 5. Calculate l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(95) - sqrt(95)*-2) + sqrt(95) + 1*-2*sqrt(95))*2)\/(2*(sqrt(500) - (3*(sqrt(500) + (sqrt(500) - sqrt(500)*-4)) - sqrt(500)))).\nAnswer: 13*sqrt(19)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2983*j + 424. List the prime factors of u(-3).\nAnswer: 7, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 8*m + 8. Let c be j(4). Suppose 2*u - 3*d = -0*d + c, -d - 114 = -5*u. Calculate the least common multiple of u and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55892175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.38 and -0.4.\nAnswer: -2.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1714576, 3429153, 5143730, 6858307, 8572884?\nAnswer: 10287461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3927, -5349, -7717, -11031, -15291, -20497, -26649?\n\"Answer: -473*a**2 - 3*a - 3451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nznnz. Give prob of picking 1 n and 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 75*b - 208. Does 16 divide n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 3*b**2 + 116 + 24*b**4 - 111 - 9*b**3 - 19*b**4 + 2*b**2 to the form o*b**3 + d*b + q + j*b**4 + m*b**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/13 - 10 - (-308)\/(-33)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:52 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3 - 662790*f**2 + 662793*f = 0. What is f?\nAnswer: -220931, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*r + 2224 = 2251, 2*r = -m - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**43)\/(i\/i**15) assuming i is positive.\nAnswer: i**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j - 6. Let b(r) = -14*r + 16. Let m(l) = -3*b(l) - 8*y(l). Let o(h) = h**2 - h. Let f(z) = -4*z. Let x(c) = -f(c) + 4*o(c). Determine m(x(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 866736117 by 288912039.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4545\/218 less than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 11*j = -55*j + 3871 for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8514329 and 0.05418162.\nAnswer: -8514328.94581838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 49*c = 48*c + 12, -i - 2*c - 1 = 0. Put 40, -3, i, 3, 1 in decreasing order.\nAnswer: 40, 3, 1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172071771.\nAnswer: 43, 47, 1074751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(50))**2 + sqrt(931) + 2.\nAnswer: 69\/25 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977028?\nAnswer: 2, 3, 13, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a + 320 = 0. Let n = a - 31. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38773.\nAnswer: 7, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let x = 16 + 6. Let u = x - 0. Let q(z) = 25 - 47 + u + 17*z. Determine q(g(w)).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*j - 7460 = 1005*j + 28840 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 104704\/(-88) - 8\/44. What is w rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 + 1168*q**4 + 278392*q**3 - 181594868*q**2 - 278390*q + 181593700 = 0.\nAnswer: -386, -1, 1, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/31, 1, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 bigger than -66517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpieggixipei. What is prob of picking 1 p and 1 e?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22704 - -b?\nAnswer: 22710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 279\/124*(-8)\/(-3). Solve -v - v = -m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 8 (b) -1\/3 (c) 7\/442 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*k**4 + 115*k**2 + 115*k**2 - 180 + 1359*k**5 - 234*k**2 - 1327*k**5 + k**3 wrt k.\nAnswer: 1920*k**2 - 456*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13 + 8 + 40 - 19 + 3*x + 186*x**3 wrt x.\nAnswer: 1116*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6425281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3055 (base 6) to base 13.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23439581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -506.\nAnswer: 303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a factor of 2100061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3636048?\nAnswer: 2, 3, 13, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.3301707 to 3 decimal places.\nAnswer: 33.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-30)\/(-497))\/1)\/((-384)\/336). Let s = q + -1277\/355. Find the common denominator of -63\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108679588 divided by 932?\nAnswer: 116609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 595799 or 2\/3?\nAnswer: 595799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34106 is divided by 5682?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 65*p + 142*p - 73 = 76*p, 2*m - 14 = 2*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -461.522 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5689 - 5182. What is the highest common divisor of w and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 9 = -16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3769972718 to the power of 1\/3, to the nearest integer?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 461 + -458. Let d = -31 + 43. Let k = 7 - d. Which is the second biggest value? (a) k (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 41652*h - 6 + 2.\nAnswer: -41652*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 - 235750*o**3 - 2795825285*o**2 - 398939922000*o - 14317974953280 = 0.\nAnswer: -23503, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c**2 + 5*c**3 - 11*c**2 + 4 + 9*c**2. Let p be l(2). Suppose 0 = -s - 3, 5*s + p = 3*k - 0*s. Calculate the remainder when 55 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 29.5. Let l = v + -8.5. Which is the biggest value? (a) 2 (b) l (c) 1 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 5757.39?\nAnswer: 5757.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123000 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -170, -237, -286, -311, -306, -265?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5556*d**2 - 25002*d - 83340. Let p(o) = -o**2 + 3*o + 10. What is -j(g) - 8334*p(g)?\nAnswer: 2778*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 2, w: 3, i: 1}. Give prob of sequence hwwg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26070003 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -302372523 to the nearest one hundred thousand.\nAnswer: -302400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - (-1 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -256?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -139, -150, -165, -184, -207, -234?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414 - 103232?\nAnswer: -102414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5042567.999924 + 5042614. Let b = v + -46. Round b to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i - i)*(-806*i**4 - 1020 + 1020).\nAnswer: -2418*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 191637, -2.\nAnswer: -56, -2, 191637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 90 = -k, 5*v + 95*k = 103*k + 45 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 6*q - 552. Let w = q + -123. Let r = w - -7. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(6) - sqrt(18))**2 + 3)*2 + (sqrt(4)\/(-1*sqrt(2)) - -6*sqrt(6)\/sqrt(3))**2*-1.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 4*t + 7*t)*(0 + t + 0)*(4 - 6 + 3)*(-3 + 3 - 1) + (0*t + 3*t - 2*t)*(-6*t + 2*t + 3*t) in the form z*t + i*t**2 + l and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -788, -1676, -2566, -3458, -4352?\nAnswer: -5248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -51*z + 53*z. Let f(h) = z + 9*h - 4*h - h. Let y(j) = j**2 - 4*j - 3. Calculate 3*f(c) + 2*y(c).\nAnswer: 2*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*s**2 - s**2 - 8*s**2 + 0 as w*s**2 + d*s + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00866 to 4 dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18222741956 - 16.\nAnswer: -18222741972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 53. Let n = -3.72 - -3.58. Which is the third biggest value? (a) 2 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -705 + 23*x + 705 + (1 - 1 + 1)*(2*x + 3*x + 0*x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Suppose 5*r - 56 - 4 = a. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 3766?\nAnswer: 8\/1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 6*p**3 - 93. Let i(r) = -r**2 - 6*r + 6. Let n(a) = a - 1. Let w(d) = -i(d) - 6*n(d). What is h(w(x))?\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 33 + 17 = 0. Let d(g) = -g**3 - 10*g**2 - 3*g - 5. Let a be d(u). Let i = a - 18. Calculate the lowest common multiple of i and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 808396152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127880 and 876300.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2881000369868 and 2.\nAnswer: -2881000369866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*s - 4, 3*p + 7*s + 4 = 2*s. Suppose p*w = 7*w + f - 2268, 0 = -2*w + f + 910. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -5*l - h - 3*h, 52 = -4*l - 2*h. Sort -2, -4, l, 6, 8 in decreasing order.\nAnswer: 8, 6, -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -215 + 215 + 633*t. Let v(i) = -i**2. Determine v(j(h)).\nAnswer: -400689*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)*q**(2\/55)*q assuming q is positive.\nAnswer: q**(-163\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3279*n - 1849 = 6616*n - 3294*n for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1798 is divided by 446?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 9*z**4\/28 - z**3\/7 - 5*z**2\/14 - z\/7 - 1. Factor o(v).\nAnswer: (v - 1)*(3*v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3521130201 + 2?\nAnswer: -3521130155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -1352, 1\/3 in increasing order.\nAnswer: -1352, -5, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 736 divide 34921728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -24861*y + 273167. Determine m(11).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:34 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1937 - 3364. Let s = 1427.0003565 + a. What is s rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*x = -139, -4*o + 5*x + 138 = -125. Calculate the remainder when o is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1579 + -813. List the prime factors of i.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -3784 - 4886. What is the remainder when j is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 171647.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1182788314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 22. Determine c(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 30 - 75 = 0. Suppose -u + 3*l - 5*l + 16 = 0, -2*u + 27 = 3*l. What is the greatest common divisor of y and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 218. Let v = 0.03638 - -0.06362. Are o and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440245 (base 8) in base 15?\nAnswer: -8162a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -29?\nAnswer: 14\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s + 3*s - 10*s - 21*s to the form z + h*s and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-38.822.\nAnswer: -38.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, 0.2443098, -0.3, 2\/5 in increasing order.\nAnswer: -1.8, -0.3, 0.2443098, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 326216.\nAnswer: -3, 9, 326216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34\/((-16)\/728*-7) + -4 + -1 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1962 divide 5409234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)*o*o**(-1\/8)*o*((o\/o**1)\/o)**(-2\/31))**24 assuming o is positive.\nAnswer: o**(6471\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 181.2942 at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 2*x**4 + 3*x**4)*(5 + 21 - 43) + (-x - 5*x + 0*x)*(4*x - 2*x**3 - 4*x).\nAnswer: 29*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z + 8. Let a be r(-2). Let s be 144 + 2 + -1 + a. Suppose 4*o = 2*b - 444, s = 2*b - 3*o - 300. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 76*w - 108. Let d be t(10). Let u = d - 619. Solve -u*c + 37*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/4, 2.671, -100 in descending order.\nAnswer: 5, 2.671, 3\/4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0 - 1\/10*m**6 - 1\/420*m**7 - 143\/120*m**5 + 1\/2*m**4 + 12*m**3 - 5*m - 9*m**2. Factor f(t).\nAnswer: -(t - 1)*(t + 1)*(t + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-30) - 313\/(-15). Suppose 53 = u*w - 31. Calculate the lowest common multiple of 2 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000253212 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4051.08 to the nearest 10.\nAnswer: -4050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 119 = -14*m - 8*l, 0*l + l = -m + 6 - 16 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at most 2351\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 21. Suppose 5*k + a = k. Let r(p) = -p + 8. Let m be r(4). Sort -5, m, k in descending order.\nAnswer: m, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1878 by -3.\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.068, -0.902, 20\/3, -5?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 60. Let l be y(0). Let v = l - -34. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p. Let g(u) = -7*u**2 + 14*u + 14. Let i(x) = -39*x + 80*x - 38*x + 3 - x**2. Let f(l) = 3*g(l) - 14*i(l). What is f(z(c))?\nAnswer: -343*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(68))**2*1.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 36. Put p, 5\/11, 2 in decreasing order.\nAnswer: 2, 5\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/3)*v\/(v*v\/((v\/((v**(-12)*v)\/v))\/v)*v*v*v))\/(v**(-1\/4))**(2\/43) assuming v is positive.\nAnswer: v**(2497\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83 in -4, 0.3, -2\/17, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 1564\nAnswer: -11\/1564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + s = -287, -i + 6*s - s = -105. Let v be 1*5*42\/35. Suppose -i = -v*r + r. Is 19 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*4)*1.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92433280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 408331755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 5604277?\nAnswer: -5604305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -45*k**2 - 3*k - 1. Let w be u(2). Let d = -939\/5 - w. Let p = -2.5 + 2. Which is the third smallest value? (a) p (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316063 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 4. Give c(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -49445 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 63*n - 2087. Let k be h(24). Let d = -7 - -12. Solve -m - d*r = -0*m + 23, r = -2*m - k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/j**2)*j**(-2))**47)**14 assuming j is positive.\nAnswer: j**(-658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h - 41*h - 27 = -5*d, 3*d = h + 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 939*h**3 + 4*h - 6 + 4*h**2 - 3*h - 7*h**2 + 4*h. Let x be l(2). Let i be ((-5824)\/(-70))\/(-2 - x\/(-3750)). Round i to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6443.66 + -6382. Let h = 62 + -122. Let g = a + h. What is g rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmmnmmmmmmmnmmmmmmm. Give prob of sequence mnnn.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2001412 (base 7) to base 14\nAnswer: 61d42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/10)\/(-2*4\/80). Suppose o*z - 2*u - 25 = 0, -14 = -z + 3*z + 4*u. Find the second derivative of 0*c + z*c - 15*c - 36*c**3 - 6*c wrt c.\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.4782334 + -0.76.\nAnswer: 2.7182334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 10. Let i be s(8). Find the second derivative of -3*n**3 + 4*n + n**3 - 3*n**4 + i*n**3 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.044 centuries to years.\nAnswer: 16504.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 greater than or equal to -135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 155522154 (base 6) to base 13\nAnswer: 905b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 19*d - 41*d)*(80*d**4 + 1419*d**2 + 4*d**4 - 1420*d**2).\nAnswer: -4788*d**5 + 57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16 + 3 - 17 - 3 - 48*a. Suppose -l - 4*l = -165. Let u(s) = 3*s + 2. What is l*u(r) + 2*t(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65474, 131234, 197286, 263630?\n\"Answer: 146*m**2 + 65322*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -452022?\nAnswer: 452025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224399?\nAnswer: 7, 32057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 4*x + 4. Let k be r(-5). Let u = 3 + k. Find the first derivative of -u*b**2 + 0*b + 1 + 0*b wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -6275?\nAnswer: 6274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 102.4, -0.3, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqxt when four letters picked without replacement from xtxnqxattnlq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0.00679, -97?\nAnswer: 0.00679","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111110101 - -1?\nAnswer: -10111111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d + 390 - 49*d - 388 - 96*d - 117*d + 61*d.\nAnswer: -232*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = 59*g, 13*f - 4*g + g - 13 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-102)\/348)\/(-17))\/(((-4)\/2)\/8)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/4, -3\/2, -1.6, -0.1, 2\/3, -125?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.8 and -0.17165.\nAnswer: -4.94352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 36*x - 5. Let k(g) = -2*g**3 + 35*g - 3. What is 4*k(s) - 3*o(s)?\nAnswer: -5*s**3 + 32*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/9 - 32\/(-63))\/((-28272)\/(-16492))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050 a factor of 197667914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + n. Let y(o) = o**3 - 2*o**2 - o + 7. Let t(x) = 2*x**3 - 8*x**2 - x + 5. Let m be t(4). Let b(d) = m*y(d) + 2*w(d). Is b(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93 + 16 + 17*r + 2*r**2 - 78 - 3*r + 119*r wrt r.\nAnswer: 4*r + 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2857*z + 1136*z = -1362*z + 33387 for z.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64376, -127851, -191326, -254801, -318276?\n\"Answer: -63475*w - 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 1504*l - 11. Let q(b) = -31*b**2. Calculate w(q(o)).\nAnswer: -961*o**4 + 46624*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (28 - 18) - 20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6074? (a) -5\/3 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3310845 divided by 58085.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 0*z**4 - z**4)*(197 - 542 + 14) - z**3 - 4*z**4 + 6 - 6.\nAnswer: 658*z**4 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 21*x - 19*x + 14, 4*x = -5*k - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 0*o**2 + 0*o - 11\/3*o**3 + 9. Let a(p) = -2*p. Calculate y(a(j)).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-247)\/5 - 4\/(-10). Let j = 147 + w. Let p(n) = -3*n - 1. Let h be p(-5). Calculate the highest common factor of h and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f. Let n(x) = -x**2 - 5*x**2 + 7*x**2. Determine v(n(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 1172 = 0. Suppose -4*a + t = 198. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428734085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30681)\/(-3850) - (26 - 18)) + 10\/(-330)*-3.\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2357*g**4 + 290*g**3 + 99*g**2 - 68988*g - 3 wrt g?\nAnswer: 56568*g + 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - p + 12 = -3*p, 0 = 5*s - p - 9. Let q be (-11)\/33 + s\/3. Which is greater: -3\/10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6622 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x + 2. Let l(u) = 5*u**2 + 11*u + 18. Let j(f) = -4*b(f) + l(f). Is j(-15) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 33. Does 37 divide 2972\/20 + g\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49\/14*(-1 + 3). Let l(r) = 2*r**2 - 8*r - 6. Let q be l(d). Is q + ((-20)\/(-12) - (-2)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/18 - 65448\/(-3888)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 361035667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967973 is divided by 3114.\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 27*l - 9. Let x be g(14). Put x, -3, 2 in descending order.\nAnswer: x, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, -1, -16 in descending order.\nAnswer: -1, -16, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/(-14)*1218\/2262. Determine b, given that 86\/3*b**4 + 284\/3*b + 113*b**3 + 16 + 7\/3*b**5 + 496\/3*b**y = 0.\nAnswer: -6, -4, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4657 and -7\/178452.\nAnswer: 831050964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 832*r**5 - 17*r**2 - 13987*r wrt r.\nAnswer: 16640*r**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -25, 1\/9?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 9 - (30 + (-22 - (22 - 24)))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j*u + j + 1848*u - 4449 wrt u.\nAnswer: -4*j + 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 + 197.6. Put c, 0.7, 16 in descending order.\nAnswer: 16, 0.7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*o + 64*o + 73*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2290351 decades?\nAnswer: 27.484212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from {q: 2, p: 17}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2150 + -1115?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -7)\/(-2) + (-44)\/(-4). Solve 5*c = 2*w - 0*c + a, 17 = -w + 5*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (sqrt(2448) - (4 + sqrt(2448) + -2) - sqrt(2448))).\nAnswer: -12 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.099+0.13364\nAnswer: 0.23264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10072, 20140, 30208, 40276, 50344, 60412?\nAnswer: 70480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 31 + 11*g - 7*g + (27 - 20 + 11)*(-6 - 10*g + 6) in the form d*g + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 181064651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 19*z + 95 = 0. Let y = 17 + -5. Solve y = b - z*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 18*y + 26. Let r be s(-11). Let c = 133 + -256. Let o = r + c. Does 31 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 5. Let g be j(3). Let o(f) = 2*f**2 + 214*f - g - 224*f - 3*f**2 + 3*f**2. Let p be o(7). Calculate the greatest common factor of 104 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 7*o - 6. Suppose -11 = 4*m + i - 0, 5*m + 7 = i. Let s be d(m). Suppose 2*a - 7 + 3 = s. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*i - 14 = 0, 4*u - i + 2*i - 4 = 0. Suppose -7*g + 25 = -u*g. Suppose g*w = -87 + 297. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -158.8 + 189. Let s = c - 28. Let a = s + -2. What is the third smallest value in 2, a, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-105 - -94) + 0 + 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1430 by 130.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_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: Solve -y - 4*b - 73 = 0, 101*b - 98*b = -3*y - 66 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -16*r - 49. What is the hundreds digit of x(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -40 (c) 915\/11 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/7 - 18*f**4\/7 - 12*f**3 - 88*f**2\/7.\nAnswer: f**2*(f - 22)*(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/((sqrt(48)\/sqrt(4))\/sqrt(2)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2475*a**4 - 4940*a**3 + 17345*a**2 - 9970*a + 40 = 0.\nAnswer: -4, 2\/495, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1728 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/263 + -12349\/526. Calculate the common denominator of s and -49\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -434819674*w + 223095415?\nAnswer: -434819674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43737 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1853137309?\nAnswer: 17, 109008077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2556 - 8726 - 4934 + 604 = -375*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 4. Let o be t(4). Suppose 4*m - h - 21 = -o*m, 4*h - 6 = -2*m. Suppose 0 = 2*v - 1 - m. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -21*z - 49. Give r(-11).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 21. Let a(i) = 4*i - 22. Calculate -6*a(p) + 5*b(p).\nAnswer: p + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:28 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 2\/13, -10\/13, -3, 1?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 370556520 rounded to the nearest one million?\nAnswer: 371000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b + 2. Let z be i(3). Let l be 2\/(-4) - (-60)\/z. Suppose 4*n - 4 = 2*y, l + 1 = 4*y. Is 0 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.529 + 0.4447.\nAnswer: 0.9737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 + 2*d - 9. Let k be n(4). Calculate the greatest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2151918, -2151919, -2151920, -2151921, -2151922?\nAnswer: -2151923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)*l*l*l**(4\/13))**(2\/7) assuming l is positive.\nAnswer: l**(-278\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1314937147 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w + 3. Let g be a(1). Let f(v) = v**3 - 2*v**2 + 4*v + 6. Let y(u) = u**2 + u + 1. Let j(h) = g*f(h) + 3*y(h). Calculate j(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011139.\nAnswer: 13, 67, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-11982.\nAnswer: 2396.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 6) to base 10.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/14)\/(-3) + (-5)\/35\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -125*l - 9 - 15 + 129*l. Let i be h(7). Suppose 0 = 5*b - 5*q - 960, -i*b + 798 = -3*q + 5*q. What is b rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = 14*n + 16527. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159420398747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 2*y + 2. Let r(a) = -4*a**2 + 3*a - 3. Let q(n) = -66*n - 1060. Let k be q(-16). What is k*r(i) - 5*g(i)?\nAnswer: i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322085 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -769?\nAnswer: -769.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/78 - -47\/78. Which is the closest to t? (a) 0.3 (b) 2\/9 (c) -2\/5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/180*-3*1)\/(126\/70)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwatjwttwm. Give prob of sequence tmj.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 + 5. Let g = r - 0.8. Let j = g + 0.39999872. Round j to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*r**2*x**3 - 7*r**2*x**2 - 2*r**2 + 2*r*x**3 - 17*r*x**2 + 2*x**4 wrt x.\nAnswer: -120*r**2 + 12*r + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 218.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 8*k. Suppose f = 2*f + 19. What is the remainder when -1*(f + (-1 - -1)) is divided by z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/1*-6. Suppose z*d - 9 = 3. Suppose -5*q - n - d = -4, -5*n + 5 = -3*q. Solve 2*w - 3*u + 9 = q, 28 = -w + 5*u + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 9*o + 67 = 4*c - 5*c, -3*c + 5*o - 41 = 0 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*o - 525*o + 121 = 39 - 2264 for o.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 - 2?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(-386)*3854\/(-451). Is z != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1954179 or 1954177?\nAnswer: 1954177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 549 or 544?\nAnswer: 544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:00 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let m be l(-3). Let p be (0 + (-2)\/3)*m. What is the units digit of ((-6)\/p)\/((-1)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89b + 9c0?\nAnswer: 125b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h**2 + 9*h - 31. Let k(l) = -3*l**2 + 2*l - 7. Let o(i) = 9*k(i) - 2*r(i). Give o(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a**2\/7 - 318*a\/7 - 80\/7 = 0. What is a?\nAnswer: -1\/4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/6)\/(3\/81). Let i = -65 + u. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 808716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 614*f - 609*f + 3*a, -2*f - a = 22 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 16*y**2 - 2*y. Let s(c) = -c. Determine f(d) - 2*s(d).\nAnswer: -d**3 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/32*(-2)\/(-3))\/(664\/((-1330656)\/(-835)))?\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - (2*(sqrt(126) - (1*sqrt(126) + sqrt(126))) - sqrt(126)))\/sqrt(7))\/((6*sqrt(108)*1)\/sqrt(12)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61.8832 - 62. Let n = -0.0397 - x. Let z = -0.077 + n. What is z rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 106. Suppose 5*t - 757 = -4*x, 3*t + 760 = z*t + 5*x. What are the prime factors of t?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - b**3 - 9*b**2 - 36*b**2)*(14*b - 10*b + 4*b) + (-2*b + b - b)*(b**3 + b**3 + 0*b**3).\nAnswer: -12*b**4 - 376*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*p**4 + 64*p**2 - 64*p**2 + (0*p**3 + p**3 + p**3)*(-2*p + p + 2*p) + 2*p**4 + 0*p**4 - p**4.\nAnswer: 39*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 36*o**2 - o. Let x(t) be the second derivative of 13*t**4\/12 - 7*t - 42. What is u(x(k))?\nAnswer: 6084*k**4 - 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 - 10?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1509363 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-288)*54\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/132 and 9\/6*-2 + (-193)\/(-55).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -9490 (c) -2\/17 (d) 0.01 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1755?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13055 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10365503695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.57 + 2176942.\nAnswer: 2176937.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 38\/15603?\nAnswer: 38\/15603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 3 - (-30)\/11. Let l(y) = 3*y + 59. Let u be l(-19). Is i greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54038004, 54038002, 54038000?\n\"Answer: -2*w + 54038006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -54*g**5 - 110*g**4 - 56*g**3 - 34. Let d(p) = -5*p**5 - 10*p**4 - 5*p**3 - 3. Let s(r) = -68*d(r) + 6*l(r). Suppose s(n) = 0. Calculate n.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106*f**2\/9 + 4738406*f\/9 - 89404\/3.\nAnswer: 2*(f + 44702)*(53*f - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26345 - 32595 = -125*z for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1550, -1578, -1606, -1634, -1662, -1690?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (303 - 31 - 93) + -97?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -334 (base 5) to base 12\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -196 - 32099?\nAnswer: -32295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66\/5*r + 92\/5*r**2 - 2\/5*r**5 - 12*r**3 + 18\/5 + 18\/5*r**4.\nAnswer: -2*(r - 3)**2*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 37 = 10*l, -120*l + r - 7 = -121*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 12:33 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-44))**(1\/5) assuming p is positive.\nAnswer: p**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = 13. Let v = 25 + j. Suppose 0 = v*a - 4*a - 1568. Is a a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113877 and 78?\nAnswer: 2960802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33.5 and -23.126?\nAnswer: 774.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0423754 to four dps.\nAnswer: 0.0424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 + 76213*y\/6 - 38107\/3.\nAnswer: (y - 1)*(y + 76214)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*y + 3400, -4*m - 1531 + 4939 = 2*y. Suppose -f - m = 4*n, 4*n = -3 - 9. Let k = f + 152. Round k to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(700) + sqrt(700) + ((sqrt(700) - (sqrt(700) + -1 - sqrt(700)) - sqrt(700) - sqrt(700)) + sqrt(700) + sqrt(700))*-6)*-6)**2 + -2.\nAnswer: 23040*sqrt(7) + 405502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -479.43 - -0.43. Let u = -488 - o. Which is the second smallest value? (a) -2\/5 (b) -0.1 (c) -3\/5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 - 2*c**3 + c**3)*(-6 - 2*c - 5 + 3) to the form x*c**2 + n*c**3 + k + y*c**4 + d*c and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0079262 and 719.3.\nAnswer: 719.3079262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 1, 2*i - 2*z + 13 = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(-1 + (1 + sqrt(275) - sqrt(275))) + (6*(-2*sqrt(11))**2*3 - sqrt(132)\/(sqrt(132)\/sqrt(99))).\nAnswer: -3*sqrt(11) + 789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 66 = a. Let l(u) = 3*u - u - 18 + a. Let p(s) be the second derivative of -s**3\/6 - s**2\/2 - 13*s. Determine 2*l(c) + 6*p(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -367, -1755, -5157, -11581, -22035, -37527, -59065, -87657?\n\"Answer: -168*a**3 + a**2 - 215*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 20964.\nAnswer: 167712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -3, -2, 1170, 608 in increasing order.\nAnswer: -3, -2, 66, 608, 1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 = -3*a, 0*j - 3*j = -a - 3. Suppose i = -4*k + 13, -2*i = k - j*k - 5. Solve -k*c + 7 = 4*m, 3*m + 10 = -5*c + 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3\/8, -1, -5, 0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.006913*3365.\nAnswer: 23.262245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 12.5. Let h = 1124\/5 + -224. What is the nearest to -1 in h, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:38 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 20 = -27*h. Let a(g) = 3*g**2 - 2 - 2*g**2 - 1 - 4*g + 4. Determine a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*h + 3 = 5, -4*s = -4*h + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101111010101110011?\nAnswer: -101111010101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -47.\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.011 + -7.289. Let s = i - -7. Let g = -3.2 + 3. Put g, -1, s in descending order.\nAnswer: g, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.228 - 0.128. Let l = -26.9 - r. Which is smaller: l or -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278 - 298. Let z be (1 + m\/12)*18\/12. Sort 4, -3, z.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 165. Let z be (-16626)\/r + 4*3\/(-18). Let k = z + 265. Which is the third smallest value? (a) 0.2 (b) -1\/4 (c) k (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**4 + o**2 - 8*o**4 + 1 - 2*o + o**3 + 0 - 3 in the form f*o**3 + s + x*o + m*o**2 + k*o**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425157069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2604119*0.8\nAnswer: -2083295.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(-6)\/(-6) - 4. Suppose 19*i + l = 21*i. Solve 0*d + 3*g + 17 = -i*d, 3*g = 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029 a factor of 44934234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 5*x**2 - x + 5. Let a be y(5). Let n = 132.042 - 113.28. Let s = 0.238 + n. Which is greater: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012133.\nAnswer: 1012133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 21. Let g be (-21)\/(-40) + (-4)\/10. What is the smallest value in g, 0.5, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138363 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18)*-1 + (-56459)\/11817.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3133236 by 2.\nAnswer: 1566618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -14. Suppose -4*j - 1 - 1 = -2*a, 3*j + 2*a = u. Calculate the least common multiple of (0\/j - -11)*1 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47261870?\nAnswer: 2, 5, 17, 173, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(78) - ((sqrt(78) - (sqrt(78) + -3*sqrt(78))) + sqrt(78))) - sqrt(78))\/sqrt(6) - ((sqrt(52) - sqrt(52)*-3) + -2).\nAnswer: 2 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -15. Solve -4*m - k = 1, 4*m + 5 + 14 = v*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/30 + (-6)\/36. Suppose i = p - 289, v = 4*p - 3 - 5. Is (i\/(-2) - (-5 - -2))*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5020 = 2*b, 93*b = f + 97*b - 986. Let w(k) = 2*k**2 - 1006*k + f*k. Let o(m) = 98*m. Determine o(w(y)).\nAnswer: 196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 7, s: 5, c: 2, u: 3, k: 1}. Give prob of picking 2 y.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(171)\/(sqrt(9) + (sqrt(99)*-2)\/sqrt(11)).\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3809 > -3809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 - 12*m**2 - 7*m - 18. Let o(x) = -x**3 - 6*x**2 - 4*x - 9. Let r(c) = -2*k(c) + 5*o(c). Let t be (15 - 1)*3\/6. Determine r(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -190*n + 163. Let v(h) = -949*h + 814. Let y(r) = -11*d(r) + 2*v(r). Differentiate y(x) wrt x.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 31*o + 86. Let f be r(-28). Suppose -h = -u - 0*h + 120, -5*u - f*h = -635. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3\/7 (b) -4 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109469900*s**2*u**2 + 484457*s*u**2 + s - 201*u wrt s?\nAnswer: 218939800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:08 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11 + 11 + 114*f**2 + 13*f**5 + 297*f**5 - 27*f**2 wrt f.\nAnswer: 18600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, 4, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-12)\/(-4)) + 20\/16. Let v = 17\/2 - 9. What is the second biggest value in v, m, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29677 + -12128. Does 119 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -107? (a) 3 (b) -45.1 (c) 1\/5 (d) 2\/11 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjo. Give prob of sequence yjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1336 + 209 = 5*x. Let v = 476 - x. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j + 37*j - 48 = -32*j - 5*z, -z = 4*j - 192 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 0.1 (b) -12 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwjw. What is prob of sequence jw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001855 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 354340734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52335413\/483 - -108355. Find the common denominator of k and -8\/21.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133306 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/(-20))\/(-6))\/((-8)\/(-2))*-4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.17 + -0.79. Round s to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536220 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12*((-194)\/66 - -3) and -57\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k**5\/5 + 2919*k**4\/5 + 30929*k**3\/5 + 66141*k**2\/5 - 9128*k + 1380 = 0.\nAnswer: -5, 2\/7, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 7*d + 4. Suppose -21 = 3*u - 0*u. Let h be a(u). Solve 20 = h*t + 2*f, -2*t + 5 = -5*f + 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 70, 2, 60 in increasing order.\nAnswer: -4, 2, 7, 60, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*k - 3*k. Suppose -2*m + 5*t = -16, 4*m - k = -2*t - 1. What are the prime factors of (-1 - 0) + (38 - m)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:24 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1440) - sqrt(1440)*-1))\/((sqrt(180) + 2*sqrt(180) + sqrt(180) - sqrt(180))*2 - sqrt(180)))**2.\nAnswer: 1152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*a - 2212, 2*b + 7*a = 3*a + 2212. Let t = b + 353. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1122, -2241, -3360, -4479, -5598, -6717?\n\"Answer: -1119*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**3 + 8*t**2 + 6*t. Let u(n) = 5*n**3 + 6*n**2 + 5*n + 1. What is 3*i(p) - 4*u(p)?\nAnswer: -2*p**3 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/2)\/(1\/(4 - 5)). Solve 3*u - 2*s - 3 = -3*s, y = -u - 3*s + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/14 - (-4 + 5). Is r >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 11*g**5\/5 - 3*g**4\/4 + 19*g**3 - 114. Find the third derivative of n(o) wrt o.\nAnswer: 264*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20898688019 + 20898559115.19973. Let w = -128902 - f. Let c = w - 1.8. What is c rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376717.\nAnswer: 11, 23, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 11:21 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:46 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3046 + 1?\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((16\/(-20))\/(10\/(-225)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 1:30 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495081 is divided by 62?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y = 53 - 221 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1979*b = 1069*b + 574*b - 179781 - 12185 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586776.\nAnswer: 2, 3, 23, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4 = n, 4*n = o - 12 - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a + 7. Let c(t) = -20*t + 8. Calculate 6*c(k) - 7*h(k).\nAnswer: 13*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2237740 and 454596?\nAnswer: 3524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151813259579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 52. Let q be (-28)\/(-8) - (-9)\/(-6). Suppose -3*r + 80 = -2*i + 3*i, -4*i - 44 = -q*r. Calculate the smallest common multiple of r and x.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -165073 + 5?\nAnswer: -165068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 5*u. Give l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17879 by 19.\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/432 and 37\/48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 - u - 6*u**2 + 4*u**2 - 1 - u. Let h be p(-1). Suppose -h*r + 16 = -17. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 9 - (1 - 2))*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-1 + (-573915)\/60948). Let b = 1\/5079 + r. What is the common denominator of -11 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - sqrt(144)\/(sqrt(9)*2) - sqrt(16))*-1)\/(sqrt(648)*-2*5)*1 + -1.\nAnswer: -1 - sqrt(2)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-1 + 6) - (3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-26)\/j)\/j)\/j)**19)**(-32) assuming j is positive.\nAnswer: j**17632","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/9, 2\/895, -2\/51, 0.379 in ascending order.\nAnswer: -2\/51, 2\/895, 1\/9, 0.379, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 211 - 6*n - 73 - 65 - 70. What is g(12)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143*-0.00906.\nAnswer: -1.29558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 1, l: 2, u: 1, k: 1, h: 2}. Give prob of sequence qllu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x. Let d(z) = -2*z + 4. Let m(k) = d(k) + n(k). Let v be m(-4). What is the highest common divisor of 160 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(-17)\/2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qattqkggtdq. Give prob of sequence tatd.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 27*o**3 - o. Suppose 0 + 4 = 4*l. Suppose 3*t - 47 = -0*t + 5*f, -4*t = 4*f - 52. Calculate the remainder when g(l) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -5*q**3\/3 - q + 1. Suppose -143 - 77 = 5*t. Let h = t + 45. What is v(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -76. Put j, -1, 3 in ascending order.\nAnswer: -1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3\/3 - 4*d**2 - 6*d - 3. Let s(j) = j**3 + 3*j**2 - j + 2. What is the remainder when s(-2) is divided by z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -204, -920, -2130, -3840, -6056, -8784, -12030?\n\"Answer: -v**3 - 241*v**2 + 14*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rni when three letters picked without replacement from jnnnnniirnrinria.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 188368.73 rounded to the nearest one hundred?\nAnswer: 188400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 6*n - 10. Let x be u(7). Let m be (-11 - -2)*x\/(-9). Which is the biggest value? (a) 1 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.4 (c) 2\/45 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rprrpppppcdkcrdddddp. What is prob of sequence dcck?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 6. Let r be g(8). Let b be (0 - 1)\/(r\/6). Calculate the remainder when 29 is divided by (-106)\/(-7) - b\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u + 144 = 0. Let n = -7 - u. What is the remainder when n is divided by (-1)\/((-2)\/(-3))*-10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -328915 = -328896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, -5, -36\/34325, 1\/2.\nAnswer: -5, -1, -0.2, -36\/34325, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 - (-2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6744*b**3 - 14482*b**3 + 6508*b**3.\nAnswer: -1230*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4 - 6*l**2 + 8*l - 3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18222676.3 rounded to the nearest 10000?\nAnswer: -18220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 4. Let z be w(4). Let o = 22 + z. Suppose 21 = 5*x + o. Solve -x*b = -8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22189937, -44379875, -66569813, -88759751, -110949689?\nAnswer: -133139627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1081, 1125, 1231, 1411, 1677?\nAnswer: 2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 5346*l - 1732. Let v(b) = 1337*b + 432. Let g(x) = 33*v(x) + 9*w(x). Factor g(k).\nAnswer: 3*(k - 444)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6190996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgcsrsrssrsrssrllrl. What is prob of picking 2 r, 1 s, and 1 g?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/10)\/((-33)\/22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1396 - 2782 = -211*h + 1568 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08444 (b) 0.035 (c) -86 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415266, 415271, 415274, 415275, 415274, 415271?\nAnswer: 415266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:59 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = 7. Calculate the smallest common multiple of 194 and (-22)\/u - (-9)\/((-18)\/(-10)).\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188.01 to zero dps.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1157 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2359 or -2403?\nAnswer: -2403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26289, 25987, 25479, 24759, 23821, 22659?\nAnswer: 21267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/50 - m**4\/2 - 34*m**3\/15 - 270*m. What is i in c(i) = 0?\nAnswer: -2, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22363 (base 11) to base 12.\nAnswer: 168a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 31, 5, 3 in decreasing order.\nAnswer: 31, 5, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 895652819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*n + 1440 - 14162 = 4603 - 1260 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 - 3*u**4 - 4*u**4 + (4 - 4 - 3*u**2)*(-4 + 4 + 6*u**2))*(-4*u + 0*u + 8*u).\nAnswer: -80*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -72303 (base 13) in base 11?\nAnswer: -12a990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3*k - k)*((-22 - 8 + 6)*(0 + 1 + 2) + 0 - 3 - 2).\nAnswer: 154*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/17, 3, 2\/13, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -254, -486, -718, -950?\n\"Answer: -232*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 128*c**4\/3 + 8090656*c**3 + 6067976*c**2 + 4550978*c\/3 + 126416 = 0.\nAnswer: -189624, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwooowwo. What is prob of picking 2 w and 2 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 564 and 28253486?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 + 223. Which is smaller: m or -88\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*o + 28. Let u be o\/6*(-81)\/27. Calculate the remainder when 29 is divided by (-3)\/u*16\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 7:51 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21062, -42128, -63194, -84260, -105326?\n\"Answer: -21066*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.064 - 35.064. Let y = p + 34. Let x = -15.41 + 15.8. Is y <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 19 = -7. Suppose -5*d - 10 = 0, 0*l = -l - v*d - 6. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364188948, -364188946, -364188944?\nAnswer: -364188942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-33)\/j**(-2\/63))**(1\/6) assuming j is positive.\nAnswer: j**(-2077\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 + 4*a + 0*a + 2*a**3 + 6*a**3 + 5. Let g(m) = 4*m**3 + 5*m + 6. Calculate 5*g(s) - 6*x(s).\nAnswer: 2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55555*h - 55577*h + 3 - 55595*h + 166805*h.\nAnswer: 78*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6582 (base 9) to base 14.\nAnswer: -1aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from eeeeyye.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o. Let m be o*(10\/(-5))\/(-4). Suppose m = -5*q + 762 + 293. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299676 divided by -99892.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 33. Let t be v(-20). Solve -10*g - t + 13 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 3*w - 25*w - 142*w**4 - w**2 - 5 + 144*w**4 + 2 in the form u*w**2 + j*w**4 + x*w**3 + p + a*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*r**2\/3 + 224*r - 384 = 0. What is r?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5668, 5687, 5720, 5773, 5852, 5963, 6112, 6305?\n\"Answer: z**3 + z**2 + 9*z + 5657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*y**2 - 7 + 6)*(2*y**2 + 8*y**2 - 59*y**2) to h*y**3 + q + k*y**4 + r*y**2 + u*y and give k.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*a + 12. Let x(f) = a + 1 - 2 + f**2 + 11*f + 0*f**2. Let s be x(-11). Solve t = -3*u - 1, 8*t - 15 = s*u + 3*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + w - 1. Let l(c) = -1 + 7 - c - 3 + 4. Let b be l(9). Let x be t(b). Is x bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18370 or -2553332\/139?\nAnswer: -2553332\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - b = 3128011, 3*b - 313 + 331 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -82. Let f be 5*(v\/(-5) - -2). Let u = -11 - f. Solve 0 = -3*k - u - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*1*(-1)\/4 - (-10521)\/7098. Is y less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - 6159296.70161.\nAnswer: -6159284.70161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 658.6 to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80 in 0.4, -0.1, -1180, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 3. Let s be j(-3). Let v = 5 - s. What is the second derivative of 4*o**2 + 5*o - v*o - 3*o wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 14634?\nAnswer: 14634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1\/3, -1, 3, 146, -0.3 in descending order.\nAnswer: 146, 3, 1\/3, -2\/7, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - -8.08. Let r = -8.2 + q. Sort -5, r, 2.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8 + 1 + -2 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47910211 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-850)\/170)\/((-7)\/(-5))*(-2)\/(-5).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 6*sqrt(162)\/sqrt(9) - (4 + sqrt(1800))**2.\nAnswer: -1816 - 219*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 60. Solve m = -3*r + 3*d, -5*r + 28 = -4*d + 6*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1710 and -67\/2090.\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111.82 + 109. Let c = -3 - n. Let q = 0.18108 + c. What is q rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 7) to base 8\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 9*m**2 - 2*m - 5. Let b(c) = c**3 + 9*c**2 + c + 6. Let h(t) = 3*b(t) + 4*o(t). Determine h(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from vforfzzzzfrozvofzz.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-299 + o**2 + 2*o - 176*o**3 + 297 - 2*o**2)*(-o - 4*o + o) in the form t*o**2 + h*o**3 + v + g*o + w*o**4 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 + 755 + (32 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(sqrt(68) + sqrt(68) + -3))**2 + (-1 + sqrt(17) + -3 + -1 + sqrt(612) + sqrt(17) + sqrt(17))**2.\nAnswer: -26698 + 2310*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from nyylttpd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(160))\/(-2*sqrt(12)*5) + (sqrt(27) + sqrt(27) + sqrt(135)\/sqrt(80))\/(sqrt(54)\/(sqrt(6)*2 + sqrt(6) + sqrt(6) - sqrt(6))) + 0)**2.\nAnswer: 217083\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5187.\nAnswer: 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2*6\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8086.419 micrometers to nanometers.\nAnswer: 8086419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 11*t - 13. Let n be a(10). Let d be -4 + 4 + n\/1. Let m be (1 + d + 0)*-1. Solve -m*g + 12 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.42 + -1.42. Let u = 394 + -468. Let k = o + u. Put -3\/2, k, 2, -3 in descending order.\nAnswer: k, 2, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350757.\nAnswer: 3, 11, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let r be 4*((-441)\/(-12))\/((-21)\/(-14)). Let p(j) = -7 + 7 + 0 - 323*j + r*j. Calculate p(b(t)).\nAnswer: 450*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/5))**(-29))**(-38) assuming z is positive.\nAnswer: z**(3306\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c47 + -421?\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(4\/7))*p**4)\/((p\/p**5)\/p*p**(-3\/2)) assuming p is positive.\nAnswer: p**(139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10 - (-26 + 35)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15574692*m**2 - 5*m + 123498971 wrt m?\nAnswer: -31149384*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - 632372?\nAnswer: -632334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(260) - sqrt(260) - sqrt(260)))\/sqrt(5).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316722 is divided by 657789.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**2*r - 12*n*r - 6*n - 14*r - 7 wrt n?\nAnswer: 2*n*r - 12*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(70\/25).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -29. Which is the closest to s? (a) -3 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 1. Let u be 6*2 + (-2 - -5). Suppose 5*p + u + 10 = 0. Give x(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**2 + 3*v + 13505. Let l(d) = 8*d + 12. Let m be (-7)\/(-4) - 1\/(-4). Calculate m*l(i) - 9*t(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 2863524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 10*y**2 - 2*y + 1. Let q be o(1). Suppose -2*a + q = a. Calculate the greatest common factor of a and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1\/5 (c) -2\/7 (d) 11 (e) -847\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 3*t**2 - t**4 - 2*t**3 + 2*t**4 + 2*t**3 + (-t - 3*t + 6*t)*(-3 + t**3 + 3) - 2*t**4 + 0*t**4 + 0*t**4 + 4*t**4 + t**4 - 2*t**4.\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(1 + n - 1)*(-1 - 1 + 0 + (0 - 2 + 1)*(4 - 2 - 1) - 1 - 7 - 1 - 1 + 2 + 1).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*o - 203*o - u = -155, 4 = -4*u. What is the remainder when o is divided by 202\/5 - (-8)\/(-20)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/20, -1.04, -1, -2\/3 in descending order.\nAnswer: -3\/20, -2\/3, -1, -1.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90989\/16765 + -3\/2395. Calculate the common denominator of p and 43\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4688 and 234400?\nAnswer: 234400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose 0*f + 6 = -d*f - 4*w, w + 29 = 5*f. Suppose u = f*x - 39, -55 = -2*x - 3*x + 5*u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (215 + 1)\/4 + 2. Suppose -g = -n - n. What is the greatest common factor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43769786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2064754509?\nAnswer: 3, 47, 311567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 = 0, 4*c + 2478 - 465 = -5*l. Is -405 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13452 + -13443. What is the biggest value in -5\/3, h, 2\/5, 4, -14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 354186 - 354220. Let y = -1 - -1. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:19 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001493276 rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-160) + (-3358)\/11960\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 + 76*d - 142208\/3.\nAnswer: (d - 352)*(d + 808)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/10 + 3\/10. Let t = 32 + -36. Which is the closest to 0? (a) w (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2 - (-3 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1033756b?\nAnswer: -1033756b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 18.74. Let w = -0.260025 - t. Round w to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800230219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 30 = 2*p, p - 3*p - z + 15 = 0. Which is the nearest to 2\/51? (a) 2 (b) 0 (c) p (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-60)*(20 - (31 - 23)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2156839.5 - 402170.5. Let u = -1754776.0093 + r. Let q = u + 107. What is q rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -74415.\nAnswer: 37207.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = 2*z, 2*y - 3*z = -2*z + 23. Suppose -s - y = -3*s. Solve 0*a - s*a + 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19465445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 53*y. Let l be j(4). Suppose -v - l = -5*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*q + 4*q = 55, -5*y + 105 = -q. Let d be -3*(-74)\/6*-1. Let m = d + 87. What is the greatest common divisor of m and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 144 = 285 - 131 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/13170524 and -107\/4541560.\nAnswer: 131705240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1976073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**2 - 3*j - 3. Let v be a(-1). Suppose -x - 2*m - v = 0, m = 3*x + 5*m + 20. Which is greater: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 86.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/12)\/(1\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6\/15 + 1 - 1404\/(-90).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51240 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 32*o**2 + 23 + 342*o**2 - 324*o**2 to m*o**2 + x + t*o and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**3 + 64*j**2 + 21*j - 21. Calculate the remainder when 870 is divided by f(13).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 23*i**2 - 3*i + 2. Let r be u(-3). Let k = r - 146. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2)*g*g**0)**34\/((g**(-1)*g*g\/g**(-2\/5)*g)\/(g\/g**(2\/5)*g*g**(1\/3))) assuming g is positive.\nAnswer: g**(1268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94616720*d + 33948929 with respect to d.\nAnswer: -94616720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14899702 take away 5073?\nAnswer: -14904775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/486*-4*(-6)\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6637205 litres to millilitres.\nAnswer: 663.7205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - d**2 - d + 1. Let w be c(1). Let m be (1 + 0)*w - -1. Solve -4*l + 14 = m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*s - 224, -4*s + 61 = z - 26. Suppose 0 = -z*c + 105*c + 134. Does 51 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*h**21)*(h*h*h**(-4)*h)\/h assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 763 or 764?\nAnswer: 764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6333.\nAnswer: 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 83*o**3 - 19*o**2 + 55*o**2 + 82*o**3 + 189*o**4 - 37*o**2 to the form q + r*o**3 + a*o**4 + b*o + g*o**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -6*v**5 + 409 + 60*v**4 - 288*v - 25 - 25*v**4 - 117*v**3 - 30*v**3 + 46*v**4 - 906*v**2 = 0.\nAnswer: -2, -1, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920822.873 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, c: 2, z: 5}. Give prob of picking 3 z.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46414\/511 - -636\/7. Is -0.1 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77070 and 16945124?\nAnswer: 254176860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37323 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(528)\/sqrt(11)*-1.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (167\/((-654640)\/(-336)))\/((-1)\/7)*(-2)\/42?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 1)*-4 + -5 + ((sqrt(66)*-1*3)\/(5*sqrt(12)\/sqrt(2)))**2.\nAnswer: -24*sqrt(11) - 126\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*k - 29. Sort 4, 3, -2, k.\nAnswer: -2, k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -17*a**3\/3 - 96*a. Let i(l) = -l. Calculate i(y(k)).\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 6, 16, 0, -575 in descending order.\nAnswer: 16, 6, 3, 0, -5, -575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/962 and (118\/(-364))\/(28\/56).\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 212 + 68. Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 47.045. Let n = l - 1.045. Which is the second smallest value? (a) n (b) 17 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 2*u**2 + 2*u - 1. Let g be -1*(-1 + -1 + 5). Let b be l(g). Solve -5*d - b*f + 18 = -0*f, -5*f - 5 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = -5*h, 0 = -v + h - 51. Let t = 103 - 179. Let d = v - t. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 4*d = -59, 20*g - 45*g + 25*g + 3*d + 3 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*x + 16. Which is the smallest value? (a) 3\/4 (b) -0.3 (c) x (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 2*q + q**3 - 4*q - 1 - 1. Let p be b(2). Solve -g = p*g - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272216 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: Collect the terms in -45 + 5*f - 115 - 53 - 72.\nAnswer: 5*f - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 256\/5 + -45. Find the common denominator of -99\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1166 = 3*l, 10 = 2*t + 3*t. Let u = l - 381. Let o(x) = x**3 - 6*x**2 - 7*x - 2. Calculate o(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -434 + 424.02. Let r = 0.02 - g. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w + 536. Suppose w - 32 = 3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*r - 12000 = -123*r. Solve 82*n + r = 58*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 78 + 2*p**2 - 24*p + 2\/3*p**3. What is the first derivative of j(m) wrt m?\nAnswer: 4*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -384*g**2 - 5760*g - 177. Calculate n(-15).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*y + 33, 55 = 5*y + 2*v - v. Let i = 6 - 1. Let f be (22\/(-5))\/((-1)\/i). What is the greatest common factor of f and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -30*w**3 + 2*w**2 + 3*w. Let x(u) = u**3 - u. Let v(n) = -d(n) - 3*x(n). Find the third derivative of v(r) wrt r.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32516458 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 1\/7, -36, 0.23 in descending order.\nAnswer: 0.4, 0.23, 1\/7, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1458 + 1560. Suppose -6*s + 3978 = 12*s. Calculate the greatest common divisor of g and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:53 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6))\/(3\/4). Let d = -2 + 2. Suppose 0*t - t - 3*i + 7 = d, 4*t + 36 = 4*i. Sort n, 5, t in increasing order.\nAnswer: t, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w + 56. Let s(x) = -25*x - 167. Determine 8*j(d) + 3*s(d).\nAnswer: -3*d - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t - t**2)*(-6 + 2*t + 6)*(5 - t - 5) + 15*t**4 - 17*t**4 - 6*t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 10*j**2 - 12*j - 7. Let k be a(-11). Differentiate 21*v - 21*v - 5 - 4*v**k wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwwwlsdwlsudd. Give prob of picking 1 w and 1 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 486807 - 4?\nAnswer: 486803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1492.57 + 1474. Let p = s - 0.43. Let z = 19.4 + p. Which is the smallest value? (a) z (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 6539965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oooooeoooeo?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -12*i**4\/5 + 158*i**3 + 4344*i**2\/5 + 822*i + 568\/5 = 0.\nAnswer: -4, -1, -1\/6, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8481 + -8264. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from apdpappqd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 - 214. Let n be 2 + -3 + j\/(6\/(-2)). What is the greatest common divisor of 8 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.89*-0.07.\nAnswer: -0.6223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umnn when four letters picked without replacement from jnmnjuj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose x*s - 3*g + 2*g = 96, -2*g = -6. Suppose -43 - s = -4*q. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1430 - 4230.\nAnswer: -5660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476130?\nAnswer: 2, 5, 147613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63110317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6 and -55\/24449868.\nAnswer: 24449868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2022*b**2. Let a(r) = 2*r**2 + 52458 - 52458. Determine j(a(x)).\nAnswer: 8088*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 728*h - 36388. Calculate c(54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*h - 12*h + 269 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/(8 + 3906\/(-489)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10495 (b) 0.0237 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccojjjc. Give prob of picking 2 c.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n - 1. Let x(s) = -6*s - 494. Calculate v(g) + x(g).\nAnswer: g - 495","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjcjjjjjjjjjjjjcj. Give prob of picking 3 j.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11885 and 12715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 2) + ((-2992)\/(-44) - 51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52544627 to the power of 1\/2, to the nearest integer?\nAnswer: 7249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 904884340 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7131 times -739?\nAnswer: -5269809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 1323 - 453. Suppose -w + k = w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5244 - 6c?\nAnswer: 51a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**7\/21 - t**5\/4 + 7*t**3\/2 + 43*t - 2. Find the second derivative of y(z) wrt z.\nAnswer: -40*z**3 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/((r*r*r*r\/r**0*r)\/r))\/r)**(-8))**(-1\/29) assuming r is positive.\nAnswer: r**(-24\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9651.447mm?\nAnswer: 965.1447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*q - 3528 = -25*q - 42*q - 63*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 8*s - 5*s)*(0 + 41*s + 0).\nAnswer: 287*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsq when three letters picked without replacement from {x: 3, f: 1, q: 7, s: 3}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - 1. Let d(i) = -3*i. What is the lowest common multiple of d(-1) and w(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -18, -26, -36, -48, -62?\n\"Answer: -n**2 - 3*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 11, x: 3, y: 3}. Give prob of sequence xyy.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 21, 18, 15, 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -43\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68629898*i**3*p - 6969*i**3 - 1633*i**2 with respect to p.\nAnswer: 68629898*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16*-249984.92\nAnswer: 3999758.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*d - d + 2, d = 5*i + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8126175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -51. Which is the nearest to k? (a) -4\/7 (b) -1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -99 + 15. Which is smaller: d or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 45 = -5*o, 5*o - 7 = -3*q + 13. Let x(m) = m**3 - m**2 + 12*m + 29. What are the prime factors of x(o)?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = -643 + 657 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 13 = -5*b, -4*b - 4*x + 20 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.65047 to 2 dps.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 2340?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807 + 453 = 63*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 - 13)*(-76 + 9 + 573)*(-2*w + 2*w + 2*w).\nAnswer: -22264*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/r**8)\/r)\/r)\/r)\/(r*((r\/r**(-10))\/r)\/r))\/((r**(3\/7)\/r)\/(((r\/r**(-6))\/r)\/r)) assuming r is positive.\nAnswer: r**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 2118.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.85 - 1.15. Which is the closest to -3\/10? (a) 0 (b) l (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((4 + sqrt(931)*-1 + sqrt(931))*4 + 2)**2 + 3 + -3.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*m + 329*m = 138890 + 3086048. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 3*o + 8. Let i be c(-2). What is the second derivative of 1397*t - 4*t**3 + i*t**3 - 1459*t + 110*t**4 - 2*t**3 wrt t?\nAnswer: 1320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p**3 - 7*p**2 + 4. Let r(h) be the third derivative of h**3\/6 - 22*h**2. Let o(n) = -a(n) + 4*r(n). Find the third derivative of o(i) wrt i.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 946 and 132698?\nAnswer: 1459678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q - 15. What is t(4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 75\/2?\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231255 (base 7) to base 10.\nAnswer: 41298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -309 and -3.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22376018.388 and 2?\nAnswer: 22376020.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + -4)) + (12 - (-7 + 35))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 55*z**3\/2 + 9516*z**2 - 97554*z - 3560 = 0.\nAnswer: -356, -2\/55, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 311*g**3*k**2*o*q - 6*g**3 + 57*g*k**3*o - 11*g*k**3 + 19*g*k*q - 7*g*k wrt o?\nAnswer: 311*g**3*k**2*q + 57*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2562)\/1708*(7\/(-280))\/((-3)\/2)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426448822.\nAnswer: 2, 213224411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 1, q: 4, u: 1, j: 3, r: 1}. What is prob of picking 1 l and 1 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878*j**3 - 9*j + 1796*j**3 - 930*j**3 + 0*j + 9*j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 2*w**2. Let y(u) = u**3 - u - 1. Determine -i(r) + y(r).\nAnswer: 3*r**3 + 2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15 = 8*i. Suppose -4*d - 6*v = -11*v - 5489, 3*d = -i*v + 4073. What are the prime factors of d?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -85. Sort z, 1, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10*t = 20, -t - 2*t = -2*v + 6. Is 8\/305 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.161486 and -0.2?\nAnswer: 0.0322972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(18) + sqrt(20)\/sqrt(40) - (sqrt(14)\/(sqrt(14)\/sqrt(2)*-6))**2.\nAnswer: -1\/18 + 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 11*b**2 - 16*b - 13. Let a be w(9). Suppose 5*h = -5, -1 = 3*n - a*h - 6. Solve -2*u - 3 = -5*y, n*y + 2 = 2*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 778 or -19?\nAnswer: 778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14\/8779747611 - 604307101686629\/127956041682714. Let q = -4\/7287 - a. What is the common denominator of q and -37\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30137, -30138, -30139, -30140?\n\"Answer: -b - 30136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 11*h - 15*h = 11, -2*h + 17 = 3*l. Let s(r) be the first derivative of -l*r**2 - 10 - 5*r - 5\/3*r**3. Let s(q) = 0. What is q?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 178682292 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -1\/21*u**3 + 0 - 1\/210*u**5 - 1\/42*u**4 - u**2 + 0*u. What is z in y(z) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 361 and -72.7?\nAnswer: 433.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:38 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 + 16352*u**4 + 16711732*u**3 - 49048*u**2 - 50102528*u + 33423488 = 0. What is u?\nAnswer: -2044, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/225 and -57\/175?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/144 + -1591\/20592. Let m = 7\/104 - j. Is -1 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 + 3*p**3 - 145 + 285 + p**4 - 135 as m*p**4 + w*p**3 + d*p + u + q*p**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1672*o**2 - 1681*o**2 + 3360*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 - 14*k + 28. Let f(q) = 3*q**3 - q**2 - 3*q + 1. Calculate the remainder when r(2) is divided by f(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j + 1. Let q be f(2). Suppose 3*c = q*b - 106, 5*b - 2*c = -6*c + 92. Suppose -407 = 7*p + b. Is -62 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25\/31 + 293\/248. Put -3\/5, 3\/4, v in increasing order.\nAnswer: -3\/5, v, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.9 in 5, 4, -15\/7, 1\/7, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 108, 94?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2 + 2*z + 3. Let k(p) = -4*p**2 - p - 1. Let f = 1 - 9. Let m be (28\/f)\/(3\/6). Let a(c) = m*k(c) - 3*w(c). What is u in a(u) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2 + 5. Let m(v) = -6*v**2 + 4. Let y(b) = 4*l(b) - 5*m(b). Let f(q) = -2*q**2 + 7520 - 4118 - 3532. Give f(y(h)).\nAnswer: -8*h**4 - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 1, -1\/41, -4, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**6\/3 - 12*f**5\/5 - 75*f**4\/4 + 16*f**3\/3 - 2*f**2 + 2*f + 3171. What is the third derivative of y(r) wrt r?\nAnswer: 120*r**2 - 288*r - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1618077, -5, -0.5?\nAnswer: 1618077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 4:13 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 8:25 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10000120 (base 3) to base 9\nAnswer: -3016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011101 (base 2) in base 6?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 765410234 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - y + 9*y + 84 + 64 = -2*y + 3, 0 = -35*m + 3*y - 130 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from yaaaaaya?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0*t + 2*t)*(1 + 0 + 1 + 0 + 1 + 1 + (-1 - 2 + 5)*(0 + 2 - 1) + 199 + 1273 + 92) to u*t + x and give x.\nAnswer: -3140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.543717 months?\nAnswer: 0.029530975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*l + 2. Let i = 1 - l. What is the remainder when 6 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 27*v**2 + 33*v - 140. Let i be h(28). Solve -2*o = 5*d - 7 - i, -5*o - 29 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 24) + (24 + 14 - 59).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26281.918 + -26324. What is o rounded to 1 decimal place?\nAnswer: -42.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859599.7 micrograms to tonnes.\nAnswer: 0.0000008595997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - 44*k**2 + 5*k + 3. Suppose -8*h + 176 = -0*h. What is the hundreds digit of a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:29 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -125 (b) 2\/13 (c) -3.12 (d) 0.1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/66)\/(44\/484)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 3*g + 4*g - g - 4*g + 4*g + (2 - 1 - 3)*(0*g + 2*g + 0*g) + (-342 - 73 + 73)*(-2*g + 4*g + 0*g) - 2*g + 5*g - 2*g.\nAnswer: -686*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -226, -217, -196, -157, -94, -1?\n\"Answer: s**3 + 2*s - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3\/2 - 15*m**2\/2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/15 + (-84)\/(-20). What is the common denominator of -41\/4 and (32\/54)\/l*13\/(-4)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 23*s - 77. Let i = 267 - 252. Calculate the remainder when y(i) is divided by 2\/(-4)*(-2 - 20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*m - 8 = 0, 20196*m - 20199*m = -4*x + 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 109*j**3 + 1412*j**3 + 2708*j**3 + (0*j**2 - 4*j**2 + 2*j**2)*(2*j - j + 0*j).\nAnswer: 4227*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 66*x**2 + 81*x. Let u(d) = -5*d**2 - 6*d. Let q(a) = 2*i(a) + 27*u(a). Let z(y) = 4*y**2 + 3*y**2 - y**2. What is z(q(g))?\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 127426 + 102?\nAnswer: 127530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g = -22*g - 834048. List the prime factors of g.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*q*w**5 - 3*q*w**3*x**2 + q*w*x - 7*q*x**2 + 57*w*x**2 + w*x wrt w?\nAnswer: -1380*q*w**3 - 18*q*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (14 - -4) - (-11 - -19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**5\/80 - h**4\/16 + 2*h**2 - 4*h. Let s(y) be the first derivative of a(y). Factor s(b).\nAnswer: 3*b*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 - 5*x - 3. Let q be a(6). Solve 0 = q*t - 5*u - 11, 0*t + 5*t - u = -11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192038493 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 7*x**2 - 1697*x + 6741. Calculate d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33666 + 9725. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*i = -0*t - 9, 10 = 5*i. Let d(r) = 9*r + 5. Let j be d(t). Suppose 4*k + j = 9*k. What is the lowest common multiple of 6 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/672*16)\/(1\/(-6) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.451 and 321.\nAnswer: 144.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 15*f**2 - 25*f - 6. Let y be -26*((-2)\/12 - 1\/3). Let m be u(y). Solve 4*h = m + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 270*p**2 + 275*p**2 - 544*p**2. Let u(a) = -316*a**2. What is u(o(k))?\nAnswer: -316*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231151*g + 230913*g = -25228 for g.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 5. Let g be p(0). Suppose 48 = l - g*l. Does 26 divide (-630)\/l + (-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1 + sqrt(275))*-4)**2 + -2 + (sqrt(275)*-2 + 4 + sqrt(275) + -1*(sqrt(275) + -2))**2).\nAnswer: 240*sqrt(11) + 33300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 42*z - 246. Calculate p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 t, and 1 c when four letters picked without replacement from ycyetjve?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(77\/14) - (3 - 1). Solve -5*m - 9 + 34 = x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126961464?\nAnswer: 2, 3, 7, 733, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*2*sqrt(7) + sqrt(3584)\/sqrt(8) + -3.\nAnswer: -8*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 - 74. Suppose 2*m - t = 1. Suppose m = 3*u + 16. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063\/(-10 + 10 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74679*p**2*s**3 + 108*p**2*s**2 + 30*p*s**2 + p*s wrt s?\nAnswer: 448074*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11803 - 11803.4. What is the smallest value in w, 2\/29, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*y = 5, 7*x - 12*x = y - 4. Which is the nearest to 0.1? (a) -7\/6 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1630, -18984, -66110, -157894, -309222, -534980, -850054, -1269330?\n\"Answer: -2481*t**3 + 13*t + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.13 and 0.5?\nAnswer: -4.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 6*u - 9. Let m be c(-9). Let l be 8\/3*m\/4. Suppose -l = -t - 2*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 3*k = 0. Solve -3*p = -k*p + 5*q + 13, 3*p - 3*q = 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/19)*(u\/u**1)\/u*u**(2\/3)*u*u**2 assuming u is positive.\nAnswer: u**(158\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.0336 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*d + 265*d**2 + 298*d**2 - 155*d - 281*d.\nAnswer: 563*d**2 - 514*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**4 - 1620*x**3 + 45255*x**2 - 85630*x + 42000 = 0.\nAnswer: -350, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 3)*(2*v - 39 + 34 + 33) in the form r + n*v and give r.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:14 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*u - 140, 2*u + 18 = -i + 5*u. Let g = -18 - i. Suppose -17*k + g*k + 100 = 0. Which is smaller: 19 or k?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 223 + -223. Suppose 3*x + 2*x + 46470 = -4*d, -5*x + 3*d - 46435 = i. Round x to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 8. Suppose 28 = p*i + 2*i. Which is greater: i or 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36992\/(-5780))\/((-4)\/(-10)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 132 + 163 = 4*y, 4*a - y = -16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20063*a - 248. Is x(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482 = 1355*t + 562*t + 42656 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 + 12*h - 10. Let f be z(4). What is the third derivative of -12*l**f - 6*l**6 - 637*l**2 + 626*l**2 wrt l?\nAnswer: -2160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32587*p**3 + 4422*p + 264648596 wrt p.\nAnswer: 97761*p**2 + 4422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 130579 from 2.4669.\nAnswer: -130576.5331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 399 and 15?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 7*h + 2. Let t(g) = -g**2 + 8*g - 2. Suppose 0 = 7*j + 9 + 33. Give j*t(w) - 7*m(w).\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54319865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:10 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 1\/6, 1\/2, 0.01?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -294 + 1474\/5. Let k*f - 2\/5*f**2 + 6\/5 = 0. Calculate f.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21424733 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + (8 - 7) + 2 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -998 + 663. Let d = -225 - b. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4159 - -3947. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z - 45. Determine c(-19).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -168. Let n(j) = -j**3 + j**2 + 40*j + 23. Let a be n(-6). What is the greatest common divisor of w and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775665746177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 11:28 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -281 (base 10) to base 8.\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 11:22 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 8 - 26 - 35 - z - 29.\nAnswer: -z + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4246*j**3 + 6*j**2 - 197*j - 1490. Is l(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (sqrt(176) + -1 + 3 - sqrt(176)) + 2)**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 + 78 + 165 + 88?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7704.677 tonnes in micrograms?\nAnswer: 7704677000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10381, 10358, 10335, 10312, 10289, 10266?\n\"Answer: -23*s + 10404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgccgwgcgjggw. What is prob of sequence gjc?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -115\/24 (b) 0 (c) -1 (d) 1.91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/158025 and 103\/21070.\nAnswer: 316050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 6. Let b be a(5). Let q = 10 - 8. Suppose 7*d = 5*d + q. Solve -3*s + d = -b*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-4 - 1 + 1)*(1 + 13*m**3 - 1) + 46*m**3 + 15*m**2 - 12*m - 49*m**3 - 16*m**2.\nAnswer: -107*m**3 - m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - -1.6. Let b = p - -0.7. Sort b, -3\/2, 5 in ascending order.\nAnswer: -3\/2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 5*k + 15, -4*t - 6 = -2*k. Is t < 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 19, b: 1}.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*p - 69 = -285, -3*p - 204 = -3*l. Let k = l - 62. Let n(j) = -727*j - 20 + k + 728*j. Give n(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 27*k**2\/4 + 165*k + 301.\nAnswer: -(k - 43)*(k + 2)*(k + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428 is divided by 925?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, -17, -68, -163, -314, -533, -832?\n\"Answer: -2*o**3 - 4*o**2 + 7*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 + -112. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 6*l**2 + 3*l - 4. What is the smallest common multiple of q(6) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 5*o - 1. Let u be y(-4). Let h be (u\/4)\/((-1)\/4). Let r = 5 + -8. Which is the second smallest value? (a) r (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 8*b - 9*b - 127*b**2)*(-236 + 210 + 272).\nAnswer: -31242*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:10 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*v - 3*u + 192, 0 = v - 2*u + 137 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 27 + -24 + 6 + -2 - 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-1*(-3 + 2)). Suppose -10*h + 5*h + 4*p - 56 = 0, 0 = -x*h - 3*p - 28. Calculate the common denominator of ((61\/12)\/(h\/18))\/3 and -125\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (19 + (13 - (-12 + 13)) + (2 - 23)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*14\/(-4)*(-180)\/63\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k + 28*k - 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = z, -12 = 2*j - 0*z - z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.3. Which is the second biggest value? (a) 5 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 711.905 millimeters?\nAnswer: 0.711905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446608 is divided by 111651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/((sqrt(1584) - -2*sqrt(1584)) + sqrt(1584) + sqrt(1584) - sqrt(1584)) - (sqrt(48)*-1 + sqrt(3) + -1*sqrt(432) + sqrt(3)))**2.\nAnswer: 452929\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 108\/7, -0.2, -2, 1\/8?\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 40 + 6 - y + 12 - 94*y**3 + 9 to w*y**3 + h*y + r*y**2 + z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 133. Let d be (-3)\/l*-2*(-21)\/(-9). Solve -d = 5*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 288.3 + -270. What is l rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s + i + 3881, 0 = s + 2*i - 1953. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o + 1. Let k = 8335 + -8333. Let g(q) = -9*q. Give k*x(r) - 3*g(r).\nAnswer: 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2720 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z + 2. Let g be p(0). Suppose -25*j - 1347 = -y - 23*j, 4081 = 3*y + g*j. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 2, p: 3, x: 1}. What is prob of sequence xplr?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998764500 rounded to the nearest 1000000?\nAnswer: 1999000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107902196 and -0.3.\nAnswer: -32370658.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 + 6*t - 2. Let l be g(5). Suppose 5*n - 3*k - 25 = 0, k + l = -2. Solve -3*s + 0*s + 13 = 4*q, -q - n = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*3\/6 + -2)*2. Suppose 2*g - g = -2. Does 13 divide g\/(-3) + (-74)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 0*s - 2*s + s - s**2. Let m be -1 - (-7)\/((-14)\/4). What is o(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 + (-10)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649*l**2 + 1 + 751*l**2 - 1.\nAnswer: 102*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9 = 2*o. Suppose -978 - 2129 = 4*u - 5*g, -u = -o*g + 768. Is (-2)\/(-5) - u\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128004348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0 - 5 + 108*b - 36*b + 1. Let i(g) = 114*g + 16*g**2 + 59*g - 10*g**2 - 173*g - 7*g**2. Give i(x(w)).\nAnswer: -5184*w**2 + 576*w - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24543 - -24548. Factor 0*v**2 + 0 + 0*v + 28*v**t + 16\/7*v**3 - 16*v**4.\nAnswer: 4*v**3*(7*v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 58.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**16)\/(q*q**(-1)))\/(q**(-16)\/(q*q*q*q*q\/(q\/q**(-10\/13))*q)) assuming q is positive.\nAnswer: q**(68\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - ((sqrt(110) - (2*sqrt(110) + sqrt(110) + sqrt(110)))\/sqrt(10) + sqrt(11)))**2 - 2*sqrt(539)) + 1.\nAnswer: -14*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-17)\/(m*(m**22\/m)\/m)*m**(-6)*m**11*m)**(-6\/19) assuming m is positive.\nAnswer: m**(192\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-9))\/((-2)\/6). Let u = 252.111 + -252. Let w = -0.089 - u. Which is the second smallest value? (a) -0.4 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 4*c = -3*q - 82, -4*q + 50 = -2*c. Let k be (q\/(-4) + 3)*24. Let v = k - -16. Solve 4*n + 8 = s, -n - 3*s - v = 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*z - 1 = -2, -5*c + 2*z - 5 = 0. Let m = 19\/4 - 4. Let h = -0.26 + 0.06. What is the nearest to c in h, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 70 = 2*c, 2*b + 3*c + 51 = 4*b. Calculate the highest common divisor of 348 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 37*t + 29. Let v be i(1). Let c be 2*(-1 - 6\/(-8)). Put -2, c, v in increasing order.\nAnswer: v, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y. Let p(l) = -276*l**2 + 2. Let f(u) = 137*u**2 - 1. Let t(z) = -7*f(z) - 3*p(z). Calculate t(d(w)).\nAnswer: -1179*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 21648?\nAnswer: -21646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1747966 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) + 2\/3. Let t be (7\/4)\/((-51)\/8). Let k = 133\/51 + t. Is k less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 975 - 32158\/33. Calculate the common denominator of -41\/88 and j.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 21. Let p = -45 + j. Is 3 a factor of 4 + -6 - -7 - p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = -63*b + 544 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -103211 (base 6) in base 11?\nAnswer: -6430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-155)\/62)\/(1\/(-2) - 0). Let f(p) = p + 2. Let l be f(3). Solve -2*r - 5*u + 4 = -l, -c*u + 27 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/7 and ((-404)\/(-94))\/((-840)\/(-42)).\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2065 - 62*t + 23*t + 20*t - 1458 + 25*t.\nAnswer: 6*t - 3523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -2, 6, 16, 28?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 76. Suppose -3*v = -6*d + f*d + 29, -4*v - 22 = -2*d. Solve 0 = -d*a + 2*i + 18, 4*i = -0*a + a - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 1. Let c(z) = -z - 26. Let g(u) = 3*u + 65. Let s(l) = -5*c(l) - 2*g(l). Determine m(n) + 4*s(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + (sqrt(648) - -5*(sqrt(648) - 1*sqrt(648))))\/(sqrt(384)*1*-3) + 1.\nAnswer: -sqrt(3)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x - 14291*x**2 + 14283*x**2 - x**3 + 18 - 5. What is the remainder when 337 is divided by g(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 16514782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 7. Let y(h) = h + 3. Let j(u) = 3*v(u) - 7*y(u). Let x = 0 + 3. Let z(o) = -o - x*o + 2*o. Give z(j(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111837693 to the power of 1\/3, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6)*(48 - -6). Suppose z = 5*o - 7. Solve a + 7 = -o*i, 0 = -a + 2*i - i - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84506\/39 + -2167. Let u = t - 2\/13. Sort u, 0.3, 0.1 in descending order.\nAnswer: 0.3, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 8 = -2*y, -3 = -y + 4*b - 5*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 8*b**2 + 20*b - 18. What is u(9)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 903583 and 72587.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-12 - ((-2 - -6) + -27)) + -8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-60) + 48\/(-135)*-6. Suppose 0 = 5*w - 2*r - 26, 3*w - 11 = -2*w - 3*r. Suppose -u - s = 0, -2*u + 12 = -w*s - 6. Solve 0 = -u*d + v*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 122*s**5 - 274*s**5 + 134*s**5 + (2*s**2 + 0 + 0)*(2*s**3 + s**3 - s**3) - 2186*s**4 + 13*s**5 + 2186*s**4 - 2*s**3 + 2 + 2*s**2.\nAnswer: -s**5 - 2*s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + -4*((1 + sqrt(5)*-1)*-1 - ((sqrt(55) - (sqrt(550) + (sqrt(550)*-1 - sqrt(550)))\/sqrt(10)) + sqrt(55))\/sqrt(11))))**2.\nAnswer: 48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(2\/3)\/s*s*(s**8\/s)**(-18))**6 assuming s is positive.\nAnswer: s**(-722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 - 1 - (-14 + (-14 - -6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/11*(24\/9)\/8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -420*h**2 + 424*h**2 + 18*h**3 + 67*h**3 as a*h**3 + z*h**2 + u*h + c and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1211 + b18?\nAnswer: -4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 7*b - 7. Let t be m(4). Let a be 3 + (-2 - -1) + t. Find the third derivative of a*u**4 + u**2 - 5*u**4 - 5*u**4 + u**4 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -81. Let o be (-10)\/m + 63\/28. Solve -5 = 4*c - o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 22 = 0, -19*y + 15*y + 2*p - 13 = -11*y - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = -16. Let a(w) be the first derivative of -w**2\/2 + 5*w - 16. Let y be a(5). Solve y*f + j = 4*f - 4*n, 2 = -4*f + 2*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-8)*6*380\/8550?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 + -9)) + -81 - (2 + 8 + -11)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 7. Suppose 0*y - 5*g = -4*y - 5, 5*y - g - 20 = 0. Is n(y) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39220 and 51430?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (3 - (3 + 6\/3)). Suppose 28 = t*r + 2*r. What is the units digit of r - 0 - (-78 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 31*z**2 + 20*z - 18. Give d(16).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111840, -223675, -335510?\nAnswer: -447345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*u + 19. Let x(h) = -h**3 - 15*h**2 - 18*h + 10. What are the prime factors of x(u)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 989.729m?\nAnswer: 98972.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 173, 597, 1433, 2819, 4893, 7793?\n\"Answer: 23*f**3 - f**2 - 8*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*v**2 + 21*v + 20*v**2 - 2 + 23*v**2 as y + o*v**2 + w*v and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-5)\/20 + 1. Put t, 3, 0.1 in ascending order.\nAnswer: t, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15289512 divided by -2\nAnswer: 7644756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29967087 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 8)*(5 + 8 + 11)*(1 - 2 - 1)*(4*k - k - k).\nAnswer: 1344*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/2 + 126\/(-14). Sort u, 218, 5 in descending order.\nAnswer: 218, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*s - 3*q, 0*q = 5*s + 2*q + 64. What is the remainder when 3\/s + 301\/4 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19138 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*r**2 - 14*r**2 - 4 - 2*r**2 + 5 - 23*r**2 + 2*r to y + k*r + q*r**2 and give q.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010010 - 1000100110010?\nAnswer: -10111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*a = 19, -9 = -2*m + 3*a + 2*a. Let r = 12 - m. Suppose -2*b + 2*w = -3*b + 14, -4*w = -r*b + 42. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 768*o - 120966. Determine k(220).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270591 - -63588781\/235. Let i = -2\/47 - n. Let h = -2.4 + -0.6. What is the third smallest value in h, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51862379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 15 = -17. Let o be (-1 - 2) + i\/6. Which is the third biggest value? (a) o (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.61 - 31.8. Let h = -6.39 + y. What is h rounded to one dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9653 - -7702. Is -1945 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:53 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.3, -4, 3.2, -33, -2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence booo when four letters picked without replacement from {b: 8, o: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, -1\/7, -0.1, 5, 0.0422, 0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 + -118. Sort w, -1, -0.28 in descending order.\nAnswer: -0.28, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 81*o - 590. Let c(x) = 2*x**3 - x. Let q = -2 - -4. Calculate the lowest common multiple of h(10) and c(q).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16439985?\nAnswer: 3, 5, 365333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:49 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = 34*u. Let p be (18\/24)\/(1\/4). Suppose -4*o + 2 = -p*o. Solve u = -2*m + k + 4, -4*k + o*k + 19 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 10*w**2 - 5*w**5 - 19 - 5*w + 14 - 5*w**3 - 5*w**4 + 15*w**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*q**5 + 0*q**4 - 41*q**5 - q**4 + (2*q**2 - q**2 + 0*q**2)*(-3*q**3 + 4*q**3 + 2*q**3) + (-2*q**4 - q**4 + 5*q**4)*(2*q + 0*q - q).\nAnswer: -5*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 110211220011201001?\nAnswer: 110211220011201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -10)\/(-9)*2\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1661*h - 19. Let k(i) = -554*i - 7. What is -8*k(v) + 3*z(v)?\nAnswer: -551*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 47345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.5 (c) -5\/4 (d) -998 (e) 80 (f) 1\/5 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3643, 7284, 10919, 14548, 18171?\n\"Answer: -3*c**2 + 3650*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -28. Let g = 365.2 - 353.2. Put w, 3, g in decreasing order.\nAnswer: g, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -224, -336, -448?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -565052?\nAnswer: -565043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 + 2*n - 1. Let g be (54\/15 + -3)*30. Suppose 4*m - g = 118. Calculate the remainder when m is divided by w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7 = -8. Suppose -8*p - a + 17 = -3*p, 0 = -t*p + 5*a + 27. Suppose -2*u + 5*y - y = -64, p*y = 3*u - 98. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 291*p + 9. What are the prime factors of o(7)?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0*f**2 - 7*f + 2*f**2 + 210 + 3*f + f. List the prime factors of o(0).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n**(2\/37)*(n*(n\/(n\/(n*n**3*n)))\/n)\/n assuming n is positive.\nAnswer: n**(261\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 392 + 27*c - 83 - 151 - 123 - 257 in the form t + x*c and give t.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 4*j - 3. Let x be o(-2). Let b be (-2 + x - -2)*-1. Suppose -3*w - b*y = -0*w - 24, 0 = -3*w - 2*y + 23. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46314436?\nAnswer: 2, 7, 71, 23297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -174165, -348800, -523437, -698076, -872717, -1047360, -1222005?\n\"Answer: -l**2 - 174632*l + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -37*b**3 + 14*b**2 + 19*b + 2. Let f(j) = 37*j**3 - 14*j**2 - 24*j - 3. Give 3*f(m) + 4*s(m).\nAnswer: -37*m**3 + 14*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/24 + 7*i**3\/6 - 8*i**2. Suppose -10 - 10 = -2*f. Calculate the lowest common multiple of f and c(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -b, -3*y - 6 = b + 2*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/1344 + 12\/(-14))\/((-6)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 35. Let y = -8 + s. Suppose -y*z + 30 = -2*z + 3*h, -2*z + 10 = 4*h. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101718, -101746, -101774, -101802?\n\"Answer: -28*q - 101690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1210 + 563 = -9*n. Let h = 293 + n. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 9*g - 9. Let x be 450\/66 - 4\/(-22). Let f be o(x). Suppose f*y - 4*c - 62 = 0, 9 = -c - 2*c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -558 + 559. Let u be ((-2)\/20)\/(6\/45). Let m = -21\/2 + 10. Which is the closest to -4? (a) m (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 7*w**2 - w + 1. Let o be c(-7). Let m be 30\/o + 2\/8. Let j be (m\/10)\/(9\/(-15)). What is the nearest to -1 in 3, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(8)\/sqrt(4))**2*-2.\nAnswer: -22 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 80. What is the nearest to 0 in 3\/5, 27, a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*d**3 - 58*d**3 - 60*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*b*g*l**3 + 1552*b*g*l + 4*b*l**3 + 3*g*l**3 + 71*g - 474*l**3 + 2*l wrt b.\nAnswer: 4*g*l**3 + 1552*g*l + 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/38409 and 23\/38285.\nAnswer: 47435115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k*k**(-1\/7)\/k*k*k)\/k*k*k)\/(((k\/(k\/(k\/(k*k*k**(2\/45)))))\/k)\/k))\/(((k*k*k*k\/k**(-15)*k*k*k)\/k)\/(k*k**(-3\/5))) assuming k is positive.\nAnswer: k**(-800\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -350 + 347.07. What is p rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 3 + (-4 - -2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 5*j - 20. Let t = j + 36. Suppose 2*b - 3*z - 21 = 0, 4*b - 5*z - t = 7. Solve -4*n - 4*x = -32, 0 = -3*n - 4*x + 21 + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299 - 239. What is the units digit of (-6)\/(-10)*(m - -1630)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205023 is divided by 5090.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:27 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 + -63. What is the greatest common divisor of m and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (9 - 8) - (15 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166 + 205.2. Let g = 39 - a. Let f = 1 - 1. What is the closest to g in -3, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b + 10 - 2*b)*(4 - 1 - 2).\nAnswer: 2*b + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 912*c**2 + 3439*c**2 + 11.\nAnswer: 4351*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 2, m: 4, t: 2, g: 4, a: 1}. What is prob of sequence sg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 25. What is the first derivative of 4*c - k*c + 3 - 16 wrt c?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 198152*o\/5.\nAnswer: 2*o*(o + 99076)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 7*a**2 + 3*a. Let l(u) = 2*u**3 + 13*u**2 - 5*u. Let y(o) = -5*k(o) - 3*l(o). What is y(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*j**3 - 23*j**2 + 0*j**3 + 7*j**5 + 8*j**5 wrt j?\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5730749 litres?\nAnswer: 573.0749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172245383 is divided by 71?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1810 - 1804 = w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18054330 divided by 1203622?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-three fifths of a century?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 617915*t**4 + 2217*t**2 + 648*t wrt t.\nAnswer: 14829960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/12 - 7*p**3\/6 + 5*p**2\/2 + 26*p. Let q be m(6). Which is the biggest value? (a) -2 (b) -32 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/(9\/54). Suppose 4*n + 31 = 7. Let o be 3*-1*n\/a. Calculate the highest common factor of o and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 2:16 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21887840000 rounded to the nearest 1000000?\nAnswer: -21888000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f + 3. Let n = -68 + 70. Suppose -5 = 3*z + n*z. Let x be i(z). Solve -x = -3*c + 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 6*b + 3*b)*(-b + 2*b**2 + b) + (0 + 0 - 2*b**2)*(-113 - 4*b + 113).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -277173a1 + 4?\nAnswer: -2771739d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 5. Let x = j - -36. Which is the third biggest value? (a) x (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -19 - 742*m**2 + 741*m**2 + 17*m - 3*m + 7*m. What is the remainder when 52 is divided by q(19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100110?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(91)*1 + sqrt(91)) + sqrt(91))\/(-1*sqrt(448)))**2.\nAnswer: 117\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 778*b - 778*b - 320*b**3 + (-1 + 2*b**2 + 1)*(4 - 4 + 2*b).\nAnswer: -316*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 23*h + 85 = 0. Let t = h + 19. Sort -3, -1, t in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4628*f + 960 = -4388*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 72. Put -14, 4, o, -2 in descending order.\nAnswer: 4, -2, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:12 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1111, 2277, 3501, 4783, 6123, 7521, 8977?\nAnswer: 10491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310515.\nAnswer: 3, 5, 127, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*y + 62, -7*w + 77 = -2*w - 3*y. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(0 - (0 - -1)). Let k = w + 12. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 - -6.5. Let h = 0.105 + o. Round h to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -668.898991 to zero dps.\nAnswer: -669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h = 0. Solve -3*s = -h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -21*u + 40 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556630.\nAnswer: 2, 5, 155663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21283508 is divided by 4015.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -399*t**2 - 74 + 440*t**2 - 30 wrt t.\nAnswer: 82*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 176 - 61. List the prime factors of p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031403 (base 5) in base 16?\nAnswer: -8249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 22. Let o be x(-9). Let v(r) = r**3 - r**2 - r + 2. Let p be v(0). Sort 4, o, p.\nAnswer: p, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126285 bigger than -126291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 11*l + x - 23, 3*l = -2*x + 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 224700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Let w be ((-4)\/(-1*8))\/1. Which is the smallest value? (a) w (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2 + 5. Let o be (2 + 6\/u)\/5. Let j = 0 - -1\/5. Put j, o, -2\/17 in ascending order.\nAnswer: o, -2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - 0.625. Let j = -0.075 + t. Let z = -11.6 + 12. Which is the nearest to j? (a) -0.5 (b) z (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 13*l**7\/840 - l**5\/40 + 19*l**4\/12 - 2*l**3 - 90*l**2. Let j(q) be the first derivative of u(q). Differentiate j(s) wrt s.\nAnswer: 39*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.4 + -6.1. Which is the fourth smallest value? (a) -1\/6 (b) 5 (c) o (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35490 is divided by 265?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + r - 4*r + 93, 4*r - 11 = -7 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 13 + 4. Let p(w) = j + 3 - 6 - 5*w**2. Let r(k) = 2*k**2. What is p(r(c))?\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 65. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-3 + sqrt(192))\/sqrt(12))\/sqrt(8) + -1.\nAnswer: -2*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.052\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 less than -0.2?\nAnswer: -677.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -27308*28527\nAnswer: -779015316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 11000033031323?\nAnswer: 11000033031331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1524819, -1524823, -1524827?\nAnswer: -1524831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**2. Let y(z) = 5*z**2. Let p(n) = -155*n**2. Let v(f) = p(f) + 5*y(f). Give o(v(j)).\nAnswer: 169000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4772940*f**4 + 750157*f**2 - 7*f?\nAnswer: 114550560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - 2*sqrt(2299)) + -1 + 1.\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 7*s**2 + s + 63. Give n(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 25*t = 8. Find the third derivative of 0*g**t - g**2 + 2*g**2 + 6*g**3 wrt g.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*r + 30982 - 30985, 8*r = a + 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(-5 + -6*(5 + 2*sqrt(700) - sqrt(700)) + 2))*5.\nAnswer: -1800*sqrt(7) - 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3331 = f + 2*c, 137*f - 3*c + 9978 = 140*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 25\/2 (c) -1.9 (d) 2\/9 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from iiaaaaaaiaaaaiiiaaa?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4165 - 2657. List the prime factors of q.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 0*h**3 + 4*h**3)*(1 - 7 + 1).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 + 61*f**2 - 79*f - 66. Determine u(19).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 7*u**2 + 6*u + 4. Let s be z(8). Let k be 3\/(9\/s)*-1. Suppose k*y - 30 = -y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56.29 - 58. Let p = -25.19 + q. What is p rounded to zero decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 = -51. Let r be d\/4*4\/(-6). Suppose -392 = -r*o - 137. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-139.8.\nAnswer: 1817.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + m)*(0*m**3 + 0*m**3 - 3*m**3).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 25 - 92. Suppose 3*o + 9*j = c*j + 871, 2*j = -3*o + 847. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 1770 = -1886 - 1824 + 5336 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 + 3018*x**3 + 6586*x**2 - 818418*x - 821984 = 0.\nAnswer: -17, -1, 16, 1511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165.6526 rounded to 0 decimal places?\nAnswer: -1166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 46. Let i = j + 27. Let g be (-3)\/(-6) + 15\/i + 3. Let l(o) = -o**3 - 3*o**2 + 2*o + 1. What is l(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554623011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 at least -14\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(-24)*-41518*((-5 - -2) + 0)?\nAnswer: 3, 20759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guouo. Give prob of picking 1 o and 2 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 8 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17235230 or -1\/5?\nAnswer: -17235230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1268382*x**4 - x**3 + 317*x + 15231.\nAnswer: -15220584*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*u + 5*b, 0 = 1219*u - 1218*u - 3*b + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (8 - 1))\/(106\/3816).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 57. Let n(w) = 2*w**2 - 5*w - 25. Let b be n(5). Put 5, 1, b, x in decreasing order.\nAnswer: 5, 1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.47 - -1.67. Let i = -1.200036 + t. What is i rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 3*l - 0*l, -18 = -2*l + 4*d. Suppose l = -3*k + 5*n - 0, 13 = 3*k + 2*n. Suppose 238 = k*r - 284. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402531, 402535, 402539, 402543, 402547?\nAnswer: 402551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**3 + 24*n**2 + 2*n - 7. What is m(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 3282.\nAnswer: 3282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279*p**3*q*s**3 - 8538*p**3*q*s**2 - 3*p**2*q*s**2 + 64*p**2*q + 38*p**2*s**3 + 559*p**2 wrt p.\nAnswer: 1674*q*s**3 - 51228*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1718)\/6)\/(34\/(-612))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 5*g + 4639 = -4*j, 5*j + 3*g = 5815. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - -0.2. Let g = -9 + 3. Let o = 5 + g. Sort i, o, 2\/5 in increasing order.\nAnswer: i, o, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -46. Suppose -15*t + 72 = -r*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685708173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -370475 divided by -511?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b40 - 1?\nAnswer: b3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 0, 4, 5, 673.\nAnswer: -6, -3, 0, 4, 5, 673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 49*f**5 + 701946*f**4 - 15865475*f**3 + 48968040*f**2 - 24161804*f + 3271344 = 0.\nAnswer: -14348, 2\/7, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3451435100 to the nearest 1000000.\nAnswer: 3451000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25877 divided by -229\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -57)\/((-6)\/(-8))*(-4728)\/(-7092)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42502502 (base 7) to base 13\nAnswer: -997229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l - 22*l + 2542 = 0. Calculate the greatest common divisor of l and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1376*w**3 - w**2 - 190*w - 10 wrt w.\nAnswer: -8256*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m + 19. Give u(14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627 = -10*i - 363. Let a = i - -112. Suppose 0 = 5*f - 105 + 40. What is the greatest common factor of a and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 8755?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -182? (a) -3 (b) -3.9 (c) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*x**3 + 2*x**2 - 563*x**3 + 166*x**3 + 201*x**3.\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (106\/(-4))\/((-6)\/12) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*h\/(h\/(h*h**(1\/14)\/h)*h)*h*h)**(20\/7) assuming h is positive.\nAnswer: h**(710\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*z - 22, 7*p - 12*p = -4*z. Sort 0, p, -80 in ascending order.\nAnswer: -80, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 68 + 87 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/3 - 818*f**2\/3 + 272*f = 0. What is f?\nAnswer: 0, 1, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*i**3 + 74*i - 13299 wrt i.\nAnswer: 99*i**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 701 + -689. Solve -6 = -6*j + k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-1) + 380 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 2*k - 40. Put k, -2, -10 in decreasing order.\nAnswer: -2, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 6. Let u be k(7). Suppose -2*o - 2*o = 0. Suppose -x + 5 = -o*x. What is the greatest common factor of u and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 3*j + 3481*j**3 - 107*j**3.\nAnswer: 3374*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*x - 2002 - 5446, -5*x - 4*k = -18617. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 11, -29, 0.2, -2\/7, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -10231241?\nAnswer: 10231311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294*h**2 - 32769 + 32769 - h**3 to p*h**2 + d*h**3 + w + j*h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18843235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 907 = -14*n. Calculate the remainder when n is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*j**3 + j - 84*j**4 - 3*j**2 - 1 + 3*j**2 + 35*j**4 - 67*j**3 as o*j**4 + f*j**3 + t + x*j**2 + q*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -475, 3\/29, -1\/54 in ascending order.\nAnswer: -475, -0.2, -1\/54, 3\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-2 + 0 - -4). Solve -j*u + 5*u - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**4 + t**3 - t**2 + t + 1. Let z(c) = -10*c**4 - 10*c**3 + 5*c**2 - 15*c - 3. Let o(q) = -22*v(q) - 2*z(q). Determine a so that o(a) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*n - 214 = 200, 0 = -n. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1696331047*v - 2 + 1696331047*v - 133*v**3 + 2.\nAnswer: -133*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2. Let h(u) = -u + 5. Let z(k) = 2. Let a(w) = -2*h(w) + 5*z(w). What is a(m(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -16, -54, -128, -250, -432, -686?\n\"Answer: -2*m**3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3813 (b) -2 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadd. What is prob of sequence aad?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3aa80 - 1?\nAnswer: -3aa81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/89 and -31\/1036049.\nAnswer: 1036049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31493 + 31961. What is the greatest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 100*w + 532. Calculate g(99).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 168441\/11106 - (1 + -1 - (-5)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35 + -50?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812720?\nAnswer: 2, 5, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 39.9\nAnswer: 1.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -3. Let a be (2\/6)\/(r\/(-165)). Let z = 487\/18 - a. Sort z, 0.1, -1\/2 in increasing order.\nAnswer: -1\/2, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-27)\/(-6))\/9. Let s(o) = -o - 2. Let w(i) = 3*i + 7. Let g(p) = 14*s(p) + 4*w(p). Give g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*j - 19 = 89. Solve l + 7 = -3*r, -3*r - 9 = -j*l + 5*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64913? (a) -0.03 (b) -3 (c) -0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077905595 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/120 - m**5\/30 - m**4\/24 + m**3\/3 - m**2 - 7*m. Let s(p) = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2 + 4*f + 3 - 2*f**3 - 2. Let r(i) be the third derivative of -i**6\/30 + 3*i**4\/8 + 7*i**3\/6 - 2*i**2. Let c = 10 + -6. What is c*r(z) - 9*x(z)?\nAnswer: 2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -0.8, 3, 0.01 in ascending order.\nAnswer: -4, -3, -0.8, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-2) - 14)*-15. Let f be v\/27 + -1*2. Let o = f - -25\/6. Calculate the common denominator of o and -127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 2\/(360\/177). Let a(p) be the third derivative of 0*p**3 + 0 + d*p**5 + 0*p**4 + 1\/120*p**6 + 0*p + p**2. Factor a(f).\nAnswer: f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**3\/3 + 4*d**2 - 3*d - 5. Determine p(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 225a27 + -5?\nAnswer: 225a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k + 5*b, 5 = -4*k + b - 0*b. Let t be 6\/(-9)*k\/6. Factor -4\/9*l**2 + 0*l + 0 + t*l**3 + 2\/9*l**4.\nAnswer: 2*l**2*(l - 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*a. Let u = -11.46 + 11.66. What is the closest to a in 5, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0149 - 0.1149. What is the nearest to g in 3\/5, -2\/13, 53, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -15*4\/24*-2. Let q(m) = -46*m**2 + 17*m**2 + 30*m**u. Let p(i) = 14*i**2 + 2*i. Give q(p(z)).\nAnswer: 196*z**4 + 56*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19554, 39112, 58668, 78222?\nAnswer: 97774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 22. Let n(g) = -22. Let j(w) = -4*n(w) - 5*o(w). Let r be j(5). Solve -4*v + 10 = -5*a, 5*v - 7 = r*a + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**4 - 9436*s**3 - 1589376*s**2 - 27264816*s - 67744512 = 0.\nAnswer: -2178, -162, -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.02 + -0.02. Let t = 337 - 337.1. What is the closest to t in j, 3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - a + 6*a + (a - 3*a + 3*a)*(1 - 1 + 1) + 1 + a - 1)*(-376 - 11 + 42 - 15) to o + x*a and give x.\nAnswer: -1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461211556?\nAnswer: 2, 7, 1031, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339721, -340680, -342277, -344512, -347385, -350896, -355045?\nAnswer: -359832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + (-182)\/(-10). Let u = 643\/35 - z. Let y = -84 + 87. Put y, u, 1\/9 in descending order.\nAnswer: y, u, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 4*g - 4*k, -2*g - 5*k + 62 = 21. Let n = -17 + g. Solve x = -0*x + 3*a + 11, 4*x - n = a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 + 72 + -19)\/(1\/18*3)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6 - 8 - 4*j**2 + j + 21 - 7 - 5. Let h(n) = -3*n**2 + 2*n - 4. Let y be (-18)\/21*42\/(-9). Determine y*z(v) - 5*h(v).\nAnswer: -v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 523*q**2 - 24123*q - 55. Give x(-40).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83945 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d - 5*g + 19250, 4*g = -2*d + 7706. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q - 32. Let s(l) = -9*l - 31. Determine -5*h(o) + 6*s(o).\nAnswer: -4*o - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209.154 - -2.054. Let p = 207 + z. Is 7.2 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**4\/8 + 14*h**3\/3 - 5*h**2. Let r be x(10). Let c be (-11)\/r + (-19)\/38. Solve -1 - 4 = -c*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -66, 83, 232?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2 + a**2 - 10*a + 4 + 5*a. Let s(j) = j**2 - 5*j - 4. What is the least common multiple of s(6) and y(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53134041 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8676, 34716, 78116, 138876, 216996, 312476?\n\"Answer: 8680*k**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/6*184\/12. Suppose -c*y + 18*y = -3865. Is (-2)\/8 + (y\/4 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*x - 2 - 1, 0 = 4*x - 8. Let v be 210\/55 + (-2)\/h. Factor -q**v + 0 + 8\/3*q**3 - 7\/3*q**2 + 2\/3*q.\nAnswer: -q*(q - 1)**2*(3*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/13 + 2467602*u**3\/13 - 7402794*u**2\/13 + 7402790*u\/13 - 2467596\/13 = 0.\nAnswer: 1, 1233798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 21*r**3 - 30*r**3)*(-11*r - 44*r - 44*r).\nAnswer: 4752*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**2 - 6*d**2 + 2*d**2)*(-d - d + d) - 214*d**3 - 397*d**2 + 397*d**2 in the form x*d + y*d**2 + f + s*d**3 and give s.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 + (-3 - -2) - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4212 (base 5) to base 9.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 3.7138.\nAnswer: -1.48552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 561\/44)\/(-3*(-20)\/(-32)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 - 9068*h**2 - 5061344*h + 88683152 = 0. What is h?\nAnswer: -1142, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. What is the highest common divisor of 2 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 397072?\nAnswer: -39706d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + d**3 + 4*d)*(2*d - d - 2*d) - 95*d**4 + 214*d**4 - 110*d**4 - d**4 - 5*d**4 + 5*d**4 as p*d**3 + w*d + b*d**4 + y + h*d**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2829 is divided by 87.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -18, -30, -46, -66?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**4\/24 - 17*r**2. Let w(u) = 2*u. Suppose 14*l - 15*l = 3. Let d(h) = l*w(h) - 7*m(h). Let v(z) = 3*z**2. What is v(d(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**2 - 800*q + 805 = 0.\nAnswer: -161, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8754 + -5?\nAnswer: -8759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 932.\nAnswer: 13\/932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -668 - -1450. List the prime factors of i.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -206. Let w = 70 + -52. Calculate the remainder when o is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 4\/3*h - 33 + 11\/6*h**4 + 16\/3*h**3 + 5*h**2. Factor s(c).\nAnswer: 2*(c + 1)**2*(11*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/5 - (-101)\/5. Let g be 10*(56\/o - 2). Let c(v) = -16*v - 11. Let r(d) = 7*d + 6. Let h(p) = 4*c(p) + 9*r(p). Calculate h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 1985?\nAnswer: -68\/1985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.00323119 to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -579*p**6*y**2 + 156523*p**3*y**3 + 2*p**2*y**2 + 2*p**2*y + p**2 + 54*p*y**3 - 38631 wrt p?\nAnswer: -69480*p**3*y**2 + 939138*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 113*y**3 + 120*y**2 + 47*y + 42. What is x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -9584682\nAnswer: -2\/4792341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 55 + 114*p**2 - 235*p**2 + 120*p**2 - 6*p. Let o be q(-15). What is o rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -367*h - 9 + 368*h + 20. Let r(f) = f**2 - 4*f + 7. Let x be r(5). Is d(x) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -24, -3, -66, -5, 8, 0 in decreasing order.\nAnswer: 8, 0, -2, -3, -5, -24, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 + 4*a**5 + 492*a**3 + 196*a**2 - 173*a - 4?\nAnswer: 120*a**3 + 240*a**2 + 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbbbbxbbbxbbbxbbbbx. Give prob of picking 1 b and 1 x.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188.09 - 188. Which is the second smallest value? (a) -0.5 (b) 3 (c) s (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7643 is divided by 2961?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3456 - -3479. Let y(a) = 17*a - 7. What is the remainder when y(5) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f - 1. Let a be s(-1). Let i(z) = z**3 + 5*z**2 + 5. Let v be i(-5). Suppose 2*u + a*k + 11 + 1 = 0, -5*k - v = 5*u. Solve y + 0*y + u = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3165878 rounded to four dps?\nAnswer: -0.3166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/7*49\/42. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126 - 95. What is the highest common factor of 31 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 + (-30 - -151 - 117).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5654, 1276 in decreasing order.\nAnswer: 1276, 25, -5654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 36*h + 2161. Determine w(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*a**3\/2 + 105*a**2 - 357*a\/2 + 45.\nAnswer: 3*(a - 1)*(a + 5)*(19*a - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 176, 178, 180, 182?\n\"Answer: 2*g + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*n**3*o + 158*n**3*x + 5*n**3 + 2*n*o*x - n*o wrt x?\nAnswer: 158*n**3 + 2*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1136 = -4*c - 4*t, 0 = c - 3*t - 18 - 274. Suppose 5*z + 3*i = c, -2*z + 4*i + 125 = 21. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*135\/(-36).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219934737 + -219934736.00000019. Let t = v - 1. Round t to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4868903 and -309.49008.\nAnswer: -309.0031897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = -31*j + 17*j. Factor 0*x + 1\/3*x**5 - x**3 + 0 + j*x**4 + 2\/3*x**2.\nAnswer: x**2*(x - 1)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - z**3 + 2*z**3)*(-2 + 4 + 1)*(-563 + 258 - 24*z + 275).\nAnswer: 72*z**4 + 90*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.5 - -5. What is the closest to 0 in -0.3, k, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19451, -19466, -19489, -19520, -19559?\nAnswer: -19606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1 - 3*s + 0 + 2 + s**2. Let x(t) = -t**3 + 5*t**2 - 3*t - 2. What is the remainder when x(3) is divided by c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654\/87*(-4)\/(-6)*4\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -8*u + 286. List the prime factors of 940\/35 + 6\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-5)*(5 + 0). Suppose 2*c = q - 3, -2*c + p*q + 2 = -1. What is the units digit of 5 - -3 - (-1 - c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/143146 and 95\/66.\nAnswer: 4723818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9083 - 3573. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 + 98. Suppose -i + 4*r = b - 0, 4*r = 5*i - 11. Suppose 0 = 5*w + 3*a - 1449, -7*w + 2*w + i*a + 1431 = 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: Put -33102, 5, 0.2 in increasing order.\nAnswer: -33102, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30307243 to the power of 1\/2, to the nearest integer?\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 14, 3 in descending order.\nAnswer: 14, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 613.62946 - 625.031. Let p = 11.4 + t. Round p to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*r + 7*r, -5*t - 2*r = -108264. List the prime factors of t.\nAnswer: 2, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589354454.\nAnswer: 2, 13, 31, 731209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.63 + 0.05. Let s = f + 0.06. Let w = s - 0.739971. What is w rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*n)*(-n**3 - n**4 + n**3) + n**5 - 6*n**5 - 4*n**5.\nAnswer: -13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 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: What is the nearest to 2\/7 in 1\/34, -0.07, -1\/5, -3, 5, -962?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(78) - sqrt(78))\/sqrt(6)*-4 + 0 + (sqrt(78)\/sqrt(24) - sqrt(13)).\nAnswer: 1 + 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/3 - 1405*l**2\/3 + 8458*l\/3 - 11288\/3 = 0. Calculate l.\nAnswer: -1411, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5307 and 525045.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 8*y + 10. Let f(v) = -v**2 + 8*v - 10. Let x(h) = -5*f(h) - 4*i(h). Is x(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33732.77 weeks in days?\nAnswer: 236129.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c + 3*c - 23*c)*(82*c - 560*c - 612*c).\nAnswer: 33790*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 - 3*q + 2. Let d(o) = -5*o**2 - 5*o + 5. Suppose 674 + 312 = 382*k - 542. Give k*d(m) - 7*f(m).\nAnswer: m**2 + m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49516 is divided by 2218.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47101 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5740 (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-2) + 7)*(-14 - -15). Let t(j) be the first derivative of 0*j**2 - 3*j + 0*j**3 - 1\/5*j**l + 0*j**4 - 3. Differentiate t(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2354, -4, -93, -1 in increasing order.\nAnswer: -93, -4, -2, -1, 2354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*o**2*q - 3*o**2 + 1928*q wrt o.\nAnswer: -44*o*q - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23302, 23304, 23306, 23308, 23310?\n\"Answer: 2*g + 23300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*270\/(-105)*(-12)\/(-72).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 3:18 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.48 + 0.3. Let j = 1.52 - f. Let g = j + -1.8. What is the nearest to g in -4, 1\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:27 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.4 * -0.1.\nAnswer: 4.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/30517327 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 5*a = 26, 0 = -4*c + 3*a + 38. What is c rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152341475 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-472)\/295*2\/8. Let p(z) = -z**2 - 4*z - 3. Let l be p(-3). What is the closest to y in -3, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1248885*b**4 - 4*b**3 - 4*b**2 - 32595*b + 7?\nAnswer: -29973240*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 28.5. Let i = 22 - h. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.3, 3\/5, -0.5, -3\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/5)\/c**(-9) assuming c is positive.\nAnswer: c**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + 35 + 4 + 3*l**2 - l to r*l + u + z*l**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 9. Let y be s(-6). Let n(r) = -4 - r**2 - 1 + 0 + r + r**3. Let l be n(0). Put y, l, -4 in decreasing order.\nAnswer: y, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-490)\/(-350)*3\/42?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29 and 27\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2 - 4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x - 61 + 121 + 260 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h + 1 = 0, -5*o + 3*h = -18. Suppose 0*t - 6 = -o*t. Let z = 1 + t. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -559452495 and -559452495 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-5))\/(32\/20)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -820 - -829. Let j = 7 + -6. Suppose 3*b - 20 = z, -3*z = 5 + j. Calculate the remainder when g is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 18*j**2 + 18*j - 12. Give v(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 12:29 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17541 is divided by 2922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 9640 - 42546 = 62105. List the prime factors of f.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + -2 + 5)*7\/2. Let y(g) = -g**3 - 2*g**2 - 16*g - 9. Let h be y(c). Suppose -7*w + h + 359 = 0. List the prime factors of w.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**5\/5 - z**4\/6 + 5*z**3\/6 - 11*z**2 + 26*z + 1. What is w(2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -883 - -887. Suppose 0 = 4*d - 0 + n, 2*t - d = 11. Solve 0 = -t*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 162296\/275961 + 2\/16233. Factor y*w - 12\/17 - 2\/17*w**2.\nAnswer: -2*(w - 3)*(w - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*u - 171*u + 52 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/24 - n**3\/2 + 3*n**2. Let q be d(3). Let t be 3 + -4506 + q\/(-2). What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 1:39 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9908\/(-14) + 4\/(-14). Let s be (-4)\/10 - u\/20. Suppose 0 = 5*l + 2*n - s, -l + 0*l + 2*n = 5. Calculate the remainder when 9 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12740357 (base 9) to base 11.\nAnswer: -3603623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3152 and 156656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 15*g = -38 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -43*f - 8. Suppose 0 = 48*t - 10*t - 228. What is the least common multiple of o(-8) and t?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369411 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 - 10*j**3 + 7*j**3 - 5*j + 4*j**3 in the form m*j + c + o*j**3 + p*j**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.6 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 21495*x**2 + 5740*x = 0.\nAnswer: -1148\/4299, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2817\/688 or -4?\nAnswer: -2817\/688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {l: 2, w: 2, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23d - 5?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f**4 - 360*f**3 + 360*f**3 + 24*f wrt f.\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-315)*-5*9\/12.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmbhbm. What is prob of sequence hw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28553544*c**4 + 262339010*c**2?\nAnswer: -685285056*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:50 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1416.62 - 1417. Put a, -2\/35, 0.1 in decreasing order.\nAnswer: 0.1, -2\/35, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3768, 4570, 5374, 6180, 6988, 7798, 8610?\n\"Answer: y**2 + 799*y + 2968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from {b: 7, k: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 28. Let h = -17 + 11. Let t(b) = -7*b**3 + 6*b**2 - 6*b + 6. Let w(u) = -13*u**3 + 11*u**2 - 11*u + 11. Calculate h*w(q) + x*t(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from pqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.216 and 0.4.\nAnswer: 0.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-28)*-21*(1 + (-13)\/3). Solve c = q + 2, -q + 11 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -k + 8 + 8, -2*g = 4*k - 22. Solve -10 = -x + g*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360125 and 335?\nAnswer: 360125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 1. Let u(g) = -284*g + 4. Determine u(m) - 6*y(m).\nAnswer: -290*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - 3 + 3 + (m + 4 - 4)*(-5*m**2 + 2*m**2 + m**2) - 39998*m + 39998*m - 463*m**3.\nAnswer: -464*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56 - -1*(-5 - -2). Let v = j + -51. Solve q**2 - 3*q + v*q**4 + 20*q**5 + 10*q**4 - 18*q**3 - 23*q**5 + 11*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 19 + 9*h**2 + 9*h**2)*(-3 + 3 + h**2) in the form p*h**3 + s*h + n*h**2 + g*h**4 + v and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 1)\/(1 - 0). What is the third smallest value in r, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 34*q + 123. Let f be v(30). Suppose -2*d + 4*g = -694, -3*d + 773 = -f*g - 262. 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 the second derivative of 5*i + 282 - 282 + 8*i**4 wrt i?\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(12))**2 + sqrt(3) + sqrt(6)\/sqrt(2) + -3.\nAnswer: 2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -245324 < -245325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-84)\/(-35))\/(-4))\/(24\/(-15)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = -2*j, 3*i - 35 = -5*j - i. Suppose j*r + 2*z = 357, 7*r - 476 = 3*r + 4*z. What is the highest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205231 (base 6) in base 12?\nAnswer: 76817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - 30)\/(1 + 0). Let q = i + 43. Calculate the remainder when 91 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4598 and 183084?\nAnswer: 2013924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1743484 and 83\/56?\nAnswer: 24408776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 11*o**2 + 7*o - 15*o**2. Let w be q(7). Suppose 0 = 2*p - 3*p - 3*v + 62, -p - 4*v + 61 = w. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -4 + -4 - (-2 - -5)) + -10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:20 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1)\/(2\/34). Let y(w) = 23*w + 3. Let s(n) = -2*n**3 - 13*n**2 - 5*n + 7. Let l be s(-6). Let o(d) = -24*d + l + 5*d + 27*d. Give z*o(a) + 6*y(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -841, -1\/5, -2\/11, -0.4, 6\/35, -0.022?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (8 - (25 + -9))) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f + 2*z - 72, 2*z = 3*f - 68. Suppose -3*j = 5*t - f, -2*j + 8*t + 45 = 5*t. Put 3, 2, j, 5 in increasing order.\nAnswer: 2, 3, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6888 and 61\/1336.\nAnswer: 1150296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 - 92*f + 10. Give v(21).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, -40530, 2\/19, 2, -2\/9, -2\/23?\nAnswer: -40530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52470 + 52494. Suppose 0*z - 4 = -z. Solve -a + 4*r + 16 = 0, -2*a - z*r - w = -8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -88*p**5 + 4*p**4 + p**2 + 24*p. Let c(l) = -l**5 + l**4 - l. Let m(f) = 4*c(f) - g(f). What is the third derivative of m(o) wrt o?\nAnswer: 5040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h = -12692, u + 148*h = 152*h + 12719. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105465089 less than -0.04?\nAnswer: 105465088.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-v + v - 3*v)*((2 - 3 - 1)*(2 - 6 + 2) + 120 + 128 + 11)*(v + 2*v + 7*v).\nAnswer: -15780*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2. Let x(r) = 13*r + 201*r**2 - 97*r**2 - 103*r**2. Determine x(q(g)).\nAnswer: g**4 - 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 3*o**2 + 11*o + 36. Let y be l(-3). Solve -4*n + 2*c = 2, -7 = -y*n + 2*n - c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 30. Let n(x) = 3*x - 85. Let z(f) = -17*b(f) + 6*n(f). Let s(h) = 52*h. Determine z(s(a)).\nAnswer: 52*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239116.08 months to millennia.\nAnswer: 19.92634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l. Suppose 14*g - 15*g = -46. Let b(i) = 80*i - g*i - 31*i. What is p(b(n))?\nAnswer: 57*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - 3)*(-8*c - 70 + 0*c + 73)*(-c**2 + c**2 + c**2).\nAnswer: 88*c**3 - 33*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 3*u - 2. Let k(q) = 16*q**2 + 13*q - 4. What is -4*f(m) - k(m)?\nAnswer: -12*m**2 - m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 - 14*i**2\/11 - 37160738*i\/11 + 61740555950\/11.\nAnswer: 2*(i - 2491)**2*(i + 4975)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 - 2*f. Let d be n(5). Let h = -56 - d. Let w be 2\/(-1)*h\/(-8). Solve k - w = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 + 4*i**2 + 8*i - 16 = 0. Calculate i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10816?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.179? (a) 0.9 (b) -2\/9 (c) 2\/5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-1 - 0) + 5. Suppose 65 = h*q + 3*q. What is the remainder when 23 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x*x)**(-1\/13) assuming x is positive.\nAnswer: x**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -16 (c) 8.3 (d) 0.4 (e) -0.4 (f) 1 (g) 2703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20782485 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.3322 - 0.3322. Are o and -510 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*v = -1965, 0 = -l + 4*v + 426 - 16. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152.4 - 113. Let y = b - 35. Let l = y - 4. What is the smallest value in 3, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w. Let f = -87 - -82. Let z(s) be the second derivative of s**3\/6 - s. Give f*z(p) - t(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 0, -4*x + 4*y = -9 + 1. Let r = 450 - 695. Let u be 2\/(-4)*10*(-14)\/r. Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:26 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 z, and 1 w when four letters picked without replacement from znininwwgnw.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 86647.9mm?\nAnswer: 8664.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-18))\/((-2)\/(-3)). What is the common denominator of ((-1510)\/(-180))\/(m\/(-3)) and 7\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35922864 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(2\/11))**(-44)\/((f**4\/(f*f**(-6)*f*f))\/(f**(-1\/4)*f*f)**(-6\/17)) assuming f is positive.\nAnswer: f**(-531\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*-1*-1 - (-6 - -6). Suppose 29 = 2*d - 7. Calculate the highest common factor of d and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 25*h + 440. Determine u(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/21 - (-3)\/9. Which is the nearest to -0.1? (a) z (b) -2\/15 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(3*p**2 + p**3 - 3*p**2)*(-6 - 15 - 1)*(0 + 1 + 1)*(3 + 0 - 4).\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/(-49)*588\/504?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 44*c**2 - 210*c - 92. Calculate u(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83424 and 12?\nAnswer: 83424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.2, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/6)\/(g*g**(2\/35)))\/(g*(g*(g\/g**(-13))\/g)\/g*g**(-10\/11)) assuming g is positive.\nAnswer: g**(-35377\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - (-47)\/(-12)) + (-1148)\/(-984))*(-552)\/9\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 4 - 1)\/(4\/2). Let b(t) be the second derivative of -3\/20*t**5 - 10\/3*t**3 + 7\/6*t**4 + 4*t**2 + 15*t + z. Factor b(p).\nAnswer: -(p - 2)**2*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 227*a**2 - 1. Let z be y(1). Suppose 0 = 4*c + 2*x + z, 2*x - 170 = 3*c + 3*x. Let b = c - -288\/5. Is b greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16102, -16103, -16104, -16105?\n\"Answer: -u - 16101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**4\/12 + u**3\/6 + 6*u**2 + 2*u. Let i(n) = -n**3 + 8*n**2 + n - 19. Calculate the remainder when i(6) is divided by h(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/3 + 860*d = 0.\nAnswer: -1290, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*p + 36, -5*d + 2*d = -2*p - 27. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -42*s + s**2 - 13 + 30*s + 15 + 20. Calculate i(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**2 - 5*h - 3. Let t = 4 - 0. Is s(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4410?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 14. Let r be (-490)\/18 - (-6)\/27. Let o be ((-44)\/(-33))\/((-2)\/r). Let l = -18 + o. Calculate y(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/3 - u**3 - 3*u**2 - 2*u\/3.\nAnswer: u*(u - 2)*(u + 1)*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7231*u**3 + 16*u**2 + 42*u + 39. Is k(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10312111 (base 5) in base 3?\nAnswer: 11111021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 + 21*c**2 - 19*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzll when four letters picked without replacement from lzllllzllzzlzllzll?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -1) + 2 + -1. Let w be 6\/h + 0 + -2. Suppose -4*z + 2 = -3*v + 5*v, w = -v - 3. Which is the closest to 1? (a) 0.5 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895776.\nAnswer: 2, 13, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkdp when four letters picked without replacement from {p: 1, d: 3, w: 2, k: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*d - 676*d + 36702 + 38658 = 0 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:18 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-1008)*-35*((-1)\/(-2))\/(255\/(-204))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u**2 + 5*u + 4. List the prime factors of c(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-34)*4\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**0\/n))\/(n**27*n) assuming n is positive.\nAnswer: n**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 7*p**5\/60 - 13*p**4\/4 + 11*p**3\/6 - 2*p**2 - 100*p. Factor u(k).\nAnswer: (k - 11)*(7*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -96. Suppose 2*p = 2*l - 7*l + 171, 0 = i*p - 3*l - 407. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*w = 163*w + 7088. Is w not equal to -443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2521\/6315 - -1\/1263. Factor m*g + 1\/5 + 1\/5*g**2.\nAnswer: (g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = -3*i, 0 = -4*d + 4*i + 72. Suppose -d*b - 32 = -23*b. Solve 4*q - b*u - 20 + 8 = 0, u - 9 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyyyyxiyxyi. What is prob of picking 1 y and 1 i?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 8 = -2*q. Suppose -8*d = -6*d - 2. What is the derivative of 1 + d - 3 - 4*v**3 + q wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63\/17 - -1421\/34. What is the common denominator of d and 15\/73?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 22*o - 95. What is n(9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.6776695 * 2.\nAnswer: 57.355339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/((-18)\/27). Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246202*3\nAnswer: 738606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 - 24 = 0. Let h = -1\/3 - -1\/6. What is the nearest to -0.1 in h, -2\/9, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6 - d**2 + d**3 - 9*d**2 + 4*d**2 - 6*d. Let b be (-2)\/(-2) + 2 + 4. Let n be l(b). Which is greater: n or -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -191\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1 - (-74)\/6)\/((644\/(-42))\/(-23)) and (24\/20)\/(1\/335)?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -1. Let p = -56 + 59. Which is the closest to p? (a) 0 (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 486420 + -43?\nAnswer: 486366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b = 1 + 43 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 19 = -2*d + 4*s, 5*s = 2*d + 29. Let c(i) = i**3 + 2*i**2 - i + 2. Let w be c(d). Suppose 0 = 5*a + j - 61 - 14, w*a + j - 61 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45369944855 - -0.28?\nAnswer: -45369944854.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/12 + (-16)\/12. What are the prime factors of (-36)\/6*(-9)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + (3 + 1)\/2. Let k(g) = g**2 + 5*g + 3. Let r be k(s). Let a(j) = -10*j + 1. Determine a(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 6) in base 10?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.84 (c) 0.22 (d) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/333 or 0.0085056?\nAnswer: 2\/333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 - 2*u**2 + 2*u - 1. Let o(w) = -w**3 - w + 1. Let f be -11 - (-144)\/14 - 24\/(-14). What is f*c(z) + 2*o(z)?\nAnswer: 4*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -46590.865 at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -74*n**2 - 738*n + 23. Let l be c(-10). Let g = -29 - -30. Put g, l, 13 in decreasing order.\nAnswer: 13, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 7)*(0 + 2 - 3)*(-152*n + 393*n - 93*n - 145*n + 4182).\nAnswer: -6*n - 8364","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*o + 1143 + 6606 = -1792 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.7 - -15. Suppose 0 = -6*s + s - 25. What is the closest to -1 in t, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20283005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21032222103 (base 4) to base 3\nAnswer: 11112220201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6441 or -6439?\nAnswer: -6441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 6, g: 2, q: 4}. Give prob of picking 1 z, 1 h, and 1 q.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**2 - 2*k + 1. Determine o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 12) in base 7?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {c: 10, v: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 767, 179, 5, -1, -3, -5 in decreasing order.\nAnswer: 767, 179, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(375)*-6 + (sqrt(15) + sqrt(45)\/sqrt(3))*1))\/((-2*sqrt(1620) + sqrt(1620))\/(sqrt(27)\/sqrt(3)*5)).\nAnswer: 350*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(-2*i**2 + 2*i**2 + 4*i**4) - 41669*i + 41669*i + 3*i**5 - 113*i**3.\nAnswer: -5*i**5 - 113*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 624 - 402. Suppose 2*w = b + 26. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/16)*i**(4\/9)*(i\/(i\/(i*i\/(i*i\/(i*i**(3\/7))*i)))*i)\/(i*i**(1\/4)*i) assuming i is positive.\nAnswer: i**(-191\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344462379 is divided by 1383383?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1334*b**2*t**4 - b**2*t**2 + 7*b**2 - 2*b*t**6 + 8*b*t**2 - 2*t**2 wrt t?\nAnswer: -32016*b**2*t - 240*b*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 0. Let j = -595\/104 - -47\/8. Let l = 41.8 + -38.8. Sort l, z, j in increasing order.\nAnswer: z, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 280720344.\nAnswer: 3087923784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2945\/44 + 1599\/22. Put -0.3, g, -0.4, -8 in decreasing order.\nAnswer: g, -0.3, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*o - 24 = -68*o. What is the closest to 2 in -2, -4, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/143 or 3\/43?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.5 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -677\/1848 - 2\/231. Let s = 0.0244 - -4.0656. Let c = 0.09 - s. Sort n, c, -0.1.\nAnswer: c, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2304*x**4 + 10*x**3 + 4*x**2 + 6*x - 21 wrt x.\nAnswer: 55296*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - d = -4 + 3, -7 = -3*s + 5*d. Which is bigger: -3\/50 or s?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-4)\/(-12)*3*0. Suppose 4*a - n - 16803 = h, n - 4197 = -a + 5*n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, -64, -104?\n\"Answer: -40*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 272.4842 micrograms?\nAnswer: 272484.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/((-6)\/21))\/(3\/(-6)). Let m(p) = p**2 + 5*p - 9. What is m(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/39490137 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -808 - -649. Let g = u - -486. List the prime factors of g.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 39*v**3 - 2*v**2 - 57*v - 191. Is i(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4207 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/51)\/(32\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**10\/((n\/n**(2\/3))\/n*n*n*(n\/n**(3\/4))\/n) assuming n is positive.\nAnswer: n**(-247\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -62.023, -83 in ascending order.\nAnswer: -83, -62.023, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 4:19 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5373 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*s**2 + 50*s**3 - 151484 + 153086 + 2111*s**3 - 2*s**2 wrt s?\nAnswer: 6483*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 5 - -10 - -16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8875*m + 1077*m + 62*m in the form y + i*m and give i.\nAnswer: -7736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 570 and 23118915.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 11) in base 2?\nAnswer: -10011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**3\/3 + 2*i**2 + 3*i - 1. Calculate the remainder when (26 + -27)\/(1\/(-21)) is divided by l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Suppose 0 = -4*s - 2*p + 18, q*p = -4*s - 0*s + 21. Suppose -2*f + 104 = -4*j, 5*f - s*j = -0*f + 225. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 3*y**3 + y**3 - 32*y - 12*y.\nAnswer: -2*y**3 - 41*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 11 = 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -45. Let r(z) = -5*z**2 - 10*z. Let j(l) = -4*l**2 - 9*l. Let d(w) = -6*j(w) + 5*r(w). Let x be d(4). Solve x = -4*m + u + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16425142 and 30461020?\nAnswer: 46886162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16675 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/y)**(3\/19) assuming y is positive.\nAnswer: y**(-27\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 3*m - 5. Let r be d(-4). Let j = -20 + r. Let n(k) = -95*k - 908. What is the remainder when n(-10) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 794 + -793.966. What is the closest to 0 in 1\/3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1 + 2*-1. Suppose 58 = 3*z + y, -y = -3*z - s*z + 56. Let q be (532\/(-21))\/((1258\/255)\/(-37)). Calculate the greatest common factor of z and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*k - 24, 2*j = 4*k - 0*j + 24. Let a be 58\/6 - (-4)\/k. Let c be ((-9)\/(-30))\/((-651)\/(-2170)). Solve -2*l + c = a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - y - 16, 0 = w + 5*y - 32. Suppose -g + w*g - 414 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {r: 7, n: 5, h: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Let o(m) = -6*m**3 - m**2 + 6*m + 1. What is the remainder when k is divided by o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (212\/((-2)\/1))\/((-24)\/12). Which is bigger: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s - 2*s)*(17*s**4 + 21*s**4 - 21*s**4).\nAnswer: 17*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = 32*y + 1775. What is the remainder when y is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6266748 litres?\nAnswer: 626.6748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -10, 0 in decreasing order.\nAnswer: 2, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(6*(5 + ((sqrt(504)*1)\/sqrt(9))\/sqrt(8)))**2.\nAnswer: 3240*sqrt(7) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 4:59 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 21*l**2 - 30267*l - 1427520 = 0.\nAnswer: -320\/7, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1076*i**2*y**2 - 3*i*y**2 + 688*y**2 wrt i.\nAnswer: -2152*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 32*o**2 - 265*o + 2. What is the units digit of t(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**7\/210 + x**5\/60 - x**2\/2 + 3. Let a(c) be the second derivative of o(c). Find the third derivative of a(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 28. Let j(r) = -r + 1. Let n(k) = -2*k - 1. Let f(o) = z*j(o) + n(o). Give f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89863, 179725, 269583, 359437?\nAnswer: 449287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(425)*1 - -2*sqrt(425)*2).\nAnswer: 12 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least -496\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 2. Let j(i) = 10*i + 10. Suppose 4*c - 2*z + 46 = 0, -3*c - c - 2*z = 42. What is c*y(t) - 2*j(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2840 and 16080.\nAnswer: 1141680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-1275658.\nAnswer: 26788818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1280111 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*b + 68*b - 123*b to the form p*b + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**2*t**3 - 2090*s**2 - 363154494*s*t**5 - 7011*s + 2*t + 1 wrt t?\nAnswer: 12*s**2*t - 7263089880*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 3. Let y(q) = -q - 11. Let v be y(-6). Calculate d(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*i + 3*c - 7*c, 0 = 2*i - 3*c + 45. What is the tens digit of (-47)\/(-3) - (-12)\/i*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 843.85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26028 and 81699?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -977.3 to the nearest 10.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 5*k**2 + 11*k - 13. Determine q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 20. Let a(g) be the second derivative of g + 0*g**3 + f*g**2 - 1\/36*g**4 + 0. Let a(h) = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259490 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69318 is divided by 69312.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 788 - 28. Let j = q - 238. List the prime factors of j.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580 > -0.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 50. Put h, -1, 2 in ascending order.\nAnswer: -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-2)*4\/5. Suppose 3 = 3*q, d*v - q + 2*q + 17 = 0. Let p be (v\/12)\/(3\/(-120)). Solve -3*g - 3*l = -4*l - 20, 0 = -2*g + 4*l + p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-6 - -17) + -5 + 6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1663484 is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**2 + 230*p - 191. Calculate j(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67410 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 16, -2*o - 8 = 24*g - 22*g. Put 4, 2, g, 9 in increasing order.\nAnswer: g, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1\/8 (c) 25 (d) -0.051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-25)\/b*b*b)\/b*b)**36 assuming b is positive.\nAnswer: b**(-828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -16. Let l = 625 + -3749\/6. Let 0 + 0*u + z*u**3 - l*u**4 + 1\/6*u**2 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.648, 5, -168.88, -4 in decreasing order.\nAnswer: 5, -1.648, -4, -5, -168.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 12. Suppose n - b*n + 66 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d - 1. What is c(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4413 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324467, -324387, -324305, -324221?\nAnswer: -324135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 25*a - 11. Let w(n) = -5*n + 2. Let x = -147 + 149. Suppose -4*f - 3*d - 430 = 0, -54 = 2*f - x*d + 168. Let c = f + 98. What is c*w(k) - 2*h(k)?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5994 = -8*u - 2114. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7976061*n - 1812338.\nAnswer: -7976061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orr when three letters picked without replacement from {z: 4, o: 4, r: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Let f = -13.404 + 13.3. Let x = -3.104 - f. What is the second smallest value in x, 3, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = k + 164. Let n = -67 - k. Is n a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116.50212 nanoseconds to minutes.\nAnswer: 0.000000001941702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4256 + -4273 + 2 + 2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g + 288 = 35*g - 4*s, 5*g = -s + 330. Suppose -g*i + 61*i = 6. Which is smaller: i or -15\/26?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 11610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpkp. Give prob of picking 2 p and 1 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 6 = -2*f + 1, 0 = 5*f + 4*p + 4. Let w = f - -3. Suppose -5*j - 29 = -x, 6 = 2*x - w*j + 6*j. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f + 7. Let k(v) = -3*v + 2*v + 5 - 4. Suppose 4*o - 6 = 2*h, 0*o + 2 = 2*o - 2*h. Suppose -o = -3*x - 17. What is x*k(z) + b(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.176232088425 + -746.823768545575. Let m = q + 747. Round m to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 111430?\nAnswer: -111440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266693333*a**5 - 809*a**2 - 20*a + 299.\nAnswer: -16001599980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(216)*1)\/sqrt(324))\/((sqrt(972)*2 + sqrt(972) - sqrt(972) - sqrt(972))*-2*-1))**2.\nAnswer: 2\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-12))\/(1\/(-2))*10. Suppose -4*j = j + t*w - 3465, -5*j + 3429 = -4*w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1. Let t(p) = -p**3 - 6*p**2 - 7*p - 9. Let u be t(-5). Let z be (9\/12)\/(u - (-14)\/(-2)). Which is the closest to z? (a) w (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = 2*o, 0 = -5*o - 82*z + 79*z + 50. Solve 18 = -4*j + o, j = -3*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + ((-56133)\/(-5265) - 6\/(-26)*-2).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 3 (c) 4 (d) -23512 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 83 - 11)*(2 - 4*m - 2) + 0 + m + 0.\nAnswer: 329*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.468077 + 390\nAnswer: 390.468077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 15. Let s = 5 + t. Sort s, -2\/17, -0.2 in descending order.\nAnswer: s, -2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5190900*c**3*t - 7*c**3 + 14*c*t + 12*c - t + 13317 wrt c?\nAnswer: 31145400*c*t - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 8*m + 22*m - 10*m + 6*m - 15*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10*r - 10*r. Let n(a) = 4*a - 32 - a**2 + 16*a + r*a**2 - 5*a - 2*a. Determine n(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1540\/(-132)*12\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5347 rounded to 2 dps?\nAnswer: 8.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 4. Let c(y) = -4. Let g(q) = 4*c(q) - 5*x(q). Let m(a) = 4*a**2 + a - 3. What is 2*g(b) + 3*m(b)?\nAnswer: 2*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21 - -4) + (-477)\/18. Which is the closest to y? (a) 1 (b) 6\/7 (c) 3\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -47*a**4\/3 + 1339081*a**3\/3 - 3179118364*a**2 - 8726900156*a\/3 + 811794064\/3 = 0.\nAnswer: -1, 4\/47, 14246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25364*g - 12132*g - 2 - 54401*g - 42191*g.\nAnswer: -83360*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -367.215 <= -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17492864 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9268.549 millennia in months?\nAnswer: 111222588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169135263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(2 - (0 - -3)). Let m be 7*1 - (4 - 2). Suppose 5*l = -m*w + 20, -l + 5*w - w + 14 = d. Solve -15 = b - l*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**2*s**5 - 34*r**2*s**2 - 264*r**2 + 2*r - 79115*s**4 + s**2 - 5*s wrt s.\nAnswer: -120*r**2*s**2 - 1898760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 17*o - 22 = 4*h, 4*o = -4*h - 20 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 - 720931\nAnswer: -720930.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2878, -6008, -9138, -12268, -15398, -18528?\nAnswer: -21658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601494279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -15*r + 3109. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 0, 69 in increasing order.\nAnswer: -6, -2, 0, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1026*o**3 - 26*o**2 - 50. Let l(f) = -205*f**3 + 5*f**2 + 10. Let h(a) = 2*j(a) + 11*l(a). Find the third derivative of h(u) wrt u.\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/215)\/(-44*(-8)\/(-32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 350 and -0.08?\nAnswer: 350.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100341 + -240?\nAnswer: -101131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2725 = 3*q + k, 1 = 4*k + 9. Suppose 5*n = q - 69. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 93159824*-0.1\nAnswer: -9315982.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -125*o**7\/42 + 25*o**4\/4 - o**3\/3 + 9*o**2\/2 + 668*o. Find the third derivative of b(c) wrt c.\nAnswer: -7500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 2*g**2 - 7*g - 7. Let c(s) = s**3 + s**2 + 3*s + 3. Calculate -7*c(d) - 3*j(d).\nAnswer: -d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 1323?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y + 343. Let z be a(-43). Let t be (-5)\/z - 48\/6. What is the biggest value in -2, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 1 + b - 2 to q*b + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -1\/120*g**4 - 2*g - 15 + 13\/60*g**3 - 3\/5*g**2. Factor m(n).\nAnswer: -(n - 12)*(n - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034070617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.1 + 14.8384. Let y = r - -0.260319. Round y to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210457 less than or equal to 210465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a09676 - -8?\nAnswer: -2a09669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -543075.8600028 - -543076. Let p = 0.14 - w. Round p to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 435*v. Let q(h) = 3*h. Give q(m(o)).\nAnswer: 1305*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279117, -279056, -278995, -278934, -278873, -278812?\nAnswer: -278751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*p**3 - 222*p**3 + 430*p**3.\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 739*n**3*v**2 + 10*n**3*v - 34924*v**2 wrt n.\nAnswer: 2217*n**2*v**2 + 30*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/19, 8296220, -0.3, 0.2 in descending order.\nAnswer: 8296220, 2, 0.2, 2\/19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 take away -245.908?\nAnswer: 245.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 - (-449 - -433 - (-3 + -10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24098392?\nAnswer: 2, 151, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*c = 10756, -3*p - 3*c + 1074 + 5376 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125979777 is divided by 1543.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from gyygngnnyynygnn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*a - 438 + 1930 = -436 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -12*d**2 + d - 1. Is a(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1685 and 227.5.\nAnswer: -1457.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -883.99999598 + 884. Round n to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = 2*h. Let t = 95 + h. Suppose 3*o - o - 162 = -4*k, t = 3*k - 4*o. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 420\/180 + 418\/6. What is the greatest common factor of 252 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-9)\/(-45) - (-81)\/(-280))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -945 + 180. Let j = 761 + b. Suppose v - 2 = 3. Sort j, v, 4, 2 in descending order.\nAnswer: v, 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 8332 in ascending order.\nAnswer: -1, 4, 8332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/5 + 2397254*b - 7183533425645 = 0 for b.\nAnswer: 5993135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10549 and 35574?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -7*g + 133. Let m = g + 25. 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 first derivative of -37*b*q**2*r - 2*b*q*r - 44*b*r*z - 56*q**2*r*z - q**2*r + 5*q**2*z - 8*q wrt z?\nAnswer: -44*b*r - 56*q**2*r + 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.3 (b) -5289 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 79*m**3 + m. Let f be o(1). Let x be (-5)\/(-70)*(-36)\/(-9) + (-110)\/(-7). What is the highest common factor of f and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**7\/630 + d**6\/120 - 11*d**5\/60 - 35*d**4\/72 - 15*d**2 - 27*d + 1. Find v, given that o(v) = 0.\nAnswer: -7, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1003874 and -10\/321?\nAnswer: 3011622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**3\/3 + 5*k**2 - 2*k. Let l be g(7). Let d(b) = b + 8. Let q(r) = -r - 8. Let w(o) = -3*d(o) - 4*q(o). Give w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**4 - 5*j**4 + 9*j**4 + (j**4 - j**4 - 3*j**4)*(-4 + 4 - 2) to a*j**4 + s*j**2 + d*j**3 + n + b*j and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 1. Let q = 55 - j. Solve -2 - 13 = -q*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.447 and -5.\nAnswer: -7.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1337*f = 12690 + 52823 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 124*j + 3 + 40*j - 1. Let c be k(2). Round c to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (34\/35 - 72\/180)\/(3\/(-21)). Which is the fourth biggest value? (a) -1 (b) s (c) -18 (d) -3 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 722*(-219)\/(-2774)*((-2)\/(-3))\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 7582.\nAnswer: -7565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -15*h**4\/4 + 8*h**3 - 9*h**2\/2 - 63. Factor r(n).\nAnswer: -3*n*(n - 1)*(5*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 < 509658\/349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g - 11. Let z be m(2). Let s be (20\/8 - 2)\/(z\/42). Calculate the highest common divisor of s and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4617 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 70*b - 582. Calculate q(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -907*-0.2\nAnswer: 181.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 8, w + 5*b = 11 + 6. Let f be (-2)\/((28\/(-8))\/w). Solve 4*r + 12 = -5*a + 4, f*a = 2*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/7, -1\/6, -62\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1077287*o**3*p**4 + 76*o**3 - 3*o**2 + 11705*o - 10*p**3 + 1 wrt p?\nAnswer: -4309148*o**3*p**3 - 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Suppose -19 = -3*u - f. Suppose 0 = -u*a + 9 + 1. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 66944*f**3 - f**2 + 11*f + 6. Suppose w + w = 3*g - 9, -4 = w - 2*g. Let t be v(w). Round t to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2895558?\nAnswer: 2, 3, 482593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 800\/(-600)*((-26)\/(-16) + -2). Is 131 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011321 (base 4) in base 14?\nAnswer: -18b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - m. Let o(s) = 4*s + 12. Let i be o(m). Calculate the lowest common multiple of 6\/(-5)*(-40)\/i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d + 0*d)*(d - d - 19*d).\nAnswer: -38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -102. Is h at least as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 171\/4. Let j = -41324 - -537214\/13. Which is the biggest value? (a) j (b) 20 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - l. Let t be v(-1). Suppose -t*y + 72 = 2*j, y - 14 - 22 = -5*j. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -812263.07 - -812263. Let i(g) = 4*g + 1. Let u be i(-1). Which is the closest to 0? (a) 0 (b) y (c) u (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6899362 and 766?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*s**3*x + 3*s**3 - 3*s**2 + 3757*x wrt s?\nAnswer: 45*s**2*x + 9*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656464318?\nAnswer: 2, 131, 877, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34607090, -69214189, -103821288, -138428387?\n\"Answer: -34607099*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197679751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105245 and 3465.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11224*h**2 + 9*h + 12664. Let t(y) = 3741*y**2 + 3*y + 4222. Let f(c) = 11*t(c) - 4*x(c). What is the second derivative of f(p) wrt p?\nAnswer: -7490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*c = 4, -1235*o = -1231*o - c - 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2736.9997727 + -2737. What is o rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:20 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9579*k + 2496*k - 9*k**3 + 11*k**3.\nAnswer: 2*k**3 - 7083*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1032.400006157 - -1032.4. Round g to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.003 and 15207025.\nAnswer: 15207025.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 6662ab?\nAnswer: 6662a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*h + 4*a, 0 = 5*a. Suppose 2 = 2*b - h*b. Suppose -4*w - b + 13 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 15*t**2 - 17*t + 13. Let j be q(-16). Let b = j + -20. Suppose -12*c = -b*c - 27. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129290245.\nAnswer: 5, 7, 23, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/8 and 8\/(21696\/(-2))*151.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a + 9. Let u(t) be the third derivative of -7*t**4\/24 + 3*t**3\/2 + 104*t**2. Calculate -5*i(h) + 4*u(h).\nAnswer: 2*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68769 is divided by 11459.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -279*y - 266*y + 518*y - 351 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -o - 4*z, 2*z + 5 = o - 6. Let t(g) = -6 - 1 + o - g + 0. Determine t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 30 = 4*r, 5*r + 0*n - 4*n + 44 = 0. Let z(u) = u**2 + 8*u - 5. Let y be z(r). What is the units digit of (-1)\/3*(-40 + y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197878941 to the nearest integer?\nAnswer: 14067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/80251890 and 49\/900.\nAnswer: 2407556700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -2\/27*w**3 + 0*w + 0*w**2 + 6 - 1\/18*w**4. Factor g(c).\nAnswer: -2*c**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*p + 5*q, 2*p - 572 = -3*q - 588 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u**(2\/5))\/u*u**(-2)*u)**(2\/9))**(-44))**13 assuming u is positive.\nAnswer: u**(-2288\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 480.75 - -0.25. Let u = 481.0104 - v. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 5:27 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*d**3*h**2*z - d**3*h**2 + d**3 + 4*d*h*z + 562*d - 2*z wrt z.\nAnswer: -88*d**3*h**2 + 4*d*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7982584?\nAnswer: 2, 19, 52517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166331*p + 166331*p + 62298*p**3.\nAnswer: 62298*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*k + 128 = -266*k. Which is smaller: 23\/22 or k?\nAnswer: 23\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**3\/3 + 2*z**2 + 2*z + 486. Calculate v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433, 209, -25, -275, -547?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8771 at most -1762970\/201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13724, -13720, -13714, -13706, -13696, -13684, -13670?\nAnswer: -13654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2004919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 8?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.6148 centimeters to micrometers.\nAnswer: 6026148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1755 and 3834.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/144 and 53\/4.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/75075*14)\/((-30)\/(-75)).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/2 + 4*z**3\/3 + z**2\/2 + 2293. What is c(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2433 - 2438. What is the third biggest value in 3, o, 0.57?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxwxwxwxxxwwxxxxxx. What is prob of sequence wwx?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000478215 to seven decimal places.\nAnswer: 0.0000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 6*s**2 - 8*s - 5. Let y be q(7). Find the common denominator of 2\/(-8) - (99\/(-24) + 4) and (-1)\/(-3) + (-386)\/y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4238 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 48*d**2 - 13*d - 17. Let n(f) = 140*f**2 - 1402*f + 29. Let p be n(10). Let l(q) = -12*q**2 + 3*q + 4. Determine p*l(z) + 2*r(z).\nAnswer: -12*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*w + 86*w**4 - 165 - 517 - 14*w - 49*w wrt w?\nAnswer: 344*w**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-59)\/(-3) + (-29)\/(-87). Is 336048\/30 - 12\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -208*z + 256. Give k(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-328)\/(-240)*6)\/(8\/(-50)*30\/48)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z - 11*z - 28*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(3) + 2 - sqrt(5)) + (1 + sqrt(500) - sqrt(5)))*6 - ((sqrt(50) + (sqrt(200)*2)\/sqrt(4) + sqrt(50))\/sqrt(10) + -1).\nAnswer: 19 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/77 + -2\/7. Let f = -54 + 59. Suppose 2*v - b - 35 = 4*b, -5*b = f. Find the common denominator of n and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3051*y - 32 = -3047*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**2 + 5\/42*c**7 + 1\/6*c**3 + 0*c**5 + 0*c**6 + 0 + 0*c**4 - c. What is the second derivative of p(a) wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.99 - 13. Let h = 0.11 + r. What is the closest to h in -4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 3, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6e (base 16) to base 11\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 36?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 + 5*q**3\/6 - 3*q**2 + 15*q. Determine b(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4793914 + -39.\nAnswer: -4793953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78406328 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -10, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-21))\/(1*24\/9). Let t(x) be the first derivative of -s*x**3 + 9\/4*x - 3 + 3\/4*x**2. Let t(o) = 0. What is o?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Suppose 0 = 2*r - 6, -4*t = v*r - 6 - 34. Let y(q) = -10*q - 379. Let f be y(-38). What is the highest common factor of t and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 9:43 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of -2*(4 - (-127)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 6*u**2 - u - 6. Let n be x(-6). Suppose n = -3*s - s. Is s greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 + -488?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -816 + 829. Suppose -54 = -m*d + 4*d. Let o(l) = 1 + 1 - l + 2. What is o(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/15)\/36*-48 + (-11 - (-9 - -19)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/2 + 1139757*t**2\/2 + 2279523*t\/2 + 1139763\/2 = 0. What is t?\nAnswer: -1, 379921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -79. Let s = 60 + j. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25744320 a multiple of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*a + 2*a. Suppose 3*m = 5*c - 88, a*m = -2*c + 37 + 23. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1051829242, -1051829241, -1051829240, -1051829239?\nAnswer: -1051829238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6839*l**2 - 13723*l**2 + 287*l + 6873*l**2.\nAnswer: -11*l**2 + 287*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 973 divide 95241899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -53. Let v = 105\/2 - i. Calculate the common denominator of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 24. What is the highest common divisor of x and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244130111 (base 5) to base 11\nAnswer: -723540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*y. Let v be (-200)\/(-6) - y\/15. Let b = v - 22. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 3. Suppose -x - 2*x + 169 = 5*n, 2*n + 2*x - 66 = 0. Suppose 4*i - 9*i + n = 0. What is the remainder when z(-4) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g*i*q**2 - g*i*q - 2*g*q**2 + 31*g*q - 6*i*q**2 + 4*q wrt i.\nAnswer: 3*g*q**2 - g*q - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w - 5*j + 9, 0 = -3*w + 4*j - 29. Let k be 0*(-1 - w\/2). Solve t - 4*t - 2*m + 19 = 0, k = 3*t - 5*m + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1567580 - b?\nAnswer: 1567575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 940.2399 grams?\nAnswer: 940239900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 61*c**2 + 639*c - 113. Give t(-10).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44754328, -44754324, -44754320?\nAnswer: -44754316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125331985 by 25066397.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*k - 186*k - 2*v = 0, -2*v = 4*k. Suppose 5*f + 9 - 23 = -2*r, -5*r + 70 = -5*f. Solve -n + 7 - r = k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3200 - -220201?\nAnswer: 230001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2877 - -2926. Calculate the greatest common factor of p and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*g**5 + 40435*g**4 + 110645*g**3 + 43020*g**2 - 36140*g - 9040 = 0. Calculate g.\nAnswer: -2, -1, -2\/9, 1\/2, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.592039 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 7:57 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7630?\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -667.\nAnswer: 19\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3135, 6285, 9447, 12627, 15831, 19065, 22335?\nAnswer: 25647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-5) - 3*2\/(-15). Suppose 2*b - f - 19 = 0. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248676372 divided by -6.\nAnswer: 41446062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465900 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 69*q + 714. Suppose 5*v - 4*m = 490, -3*v + m = -7*v + 371. Calculate the remainder when v is divided by o(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*p + 25. Let j(l) = 2*l + 25. Let c be j(p). Solve -c*o - 12 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7150428 and 12294.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99351?\nAnswer: 3, 7, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 11)*(15\/9)\/(-5). Let c(o) = o**2. Let k be c(1). Suppose -5*j + 4*d - 15 = 0, -5*j + k = -2*d + 6. Solve -j = g - x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(1 - 0) - -3. Suppose d - m = -1. Suppose -d*j + 1 = -14. Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.857997 micrometers?\nAnswer: 2857.997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:18 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2. Let v(q) = 1932*q**2. What is v(k(z))?\nAnswer: 278208*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.5 (b) -0.9056 (c) 5 (d) 125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81218 is divided by 4512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a litre in millilitres?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -411102 (base 7) to base 11\nAnswer: -48678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 35 = 3*i + 5*j, -4*j = -i - 3. Let n = i - -16. List the prime factors of n\/4 + (-214)\/(-8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d. Let b(r) = r. What is -42*b(z) + 4*y(z)?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170197 is divided by 2075?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5184*0.25.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*n + 39*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 839481\/64 less than 13118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 8*g**2 - 32*g - 24. Is j(14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**2. Let c(p) = p**2. Give -15*c(y) - 3*s(y).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9185289s in milliseconds?\nAnswer: 918.5289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 91. Suppose 0 = 6*w - w - u. Suppose -3*i = -4*i + w. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 28 = 11*f. Solve -f*m - 3*v = -13, 0 = -4*v + 8 + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -851170, -3404666, -7660492, -13618648, -21279134, -30641950, -41707096?\nAnswer: -54474572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 712\/17 + (-32 - -37)\/(340\/8). Solve -27 = 5*m + 5*n - z, -3*m = -2*n + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**4\/24 + 8*n**3\/3 - n**2. Let p be z(11). List the prime factors of 6\/((60\/8)\/p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1771.2 + -1772.9. Let g = -3\/11 - 2\/33. Put 1, 2, p, g in ascending order.\nAnswer: p, g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 5*u + 37 + 12*u**2 + 21*u**2.\nAnswer: 33*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 295928*k**2 - 136150616*k?\nAnswer: 591856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let o be 0\/m + (-1 - -2) + 1. Solve -8*z + 3*z - 10 = 0, -o*y - 5*z = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 275656 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4870 (b) -38 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 4:31 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -9. Suppose 0 = 5*g - 4*n - 27, g - n = f - 0. Let l be (-1)\/3 + 1\/g. Solve 4*c = -l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-2)*(-13 + 5). Suppose -4*v - h = -8*v. Let i = 2 - -2. Sort 2\/7, v, i in increasing order.\nAnswer: 2\/7, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(7\/(-35))\/(55\/(-25))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4596 and 216084.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a - 36. Let d = -10 - a. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102595 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 3*f - 1. Let x be u(3). Let i(h) = -2 + x + 8*h - h. Let q be i(-6). Round q to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**3 - j**2 - 6*j - 2. Let o be d(2). Let h be (0 + (8 - 0))*27\/o. What is the closest to h in -1\/2, 0.3, -0.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (10 - 11)) + (22 - 77)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 411 + -16?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34067 + 0.06763. Round u to two dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7145 - 7140. Let j(z) = -z**2 + 7*z - 9. Let p be j(6). What is the closest to 1\/4 in 0.3, m, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3202, -3205, -3208?\nAnswer: -3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = t + 2 - 0, -4*t = -14*j + 26. Solve 23 = 4*l - j*w, -7*w - 20 = -3*l - 2*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1059877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1049, 1\/4, 0.1, -0.1, 0, 1.15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmmddmmdmmddmddd. Give prob of picking 2 d and 2 m.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -723*f - 19. Let r(z) = 1375*z + 38. What is 11*q(c) + 6*r(c)?\nAnswer: 297*c + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1c77 (base 13) to base 12\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 150\/24 + (-2)\/8. Suppose 0 = -4*u + 2*z + k + 18, 0 = 5*u - z - 24. Suppose -u*w + a - 12 + 315 = 0, a - 297 = -4*w. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1178 and 1674.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2 - 1172*w + 171698 = 0.\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34009 = -3*k + 2*j, -j - 4*j = -3*k - 34024. Let b = k - 11367. Round b to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -48. Sort p, -0.5, -2, 1\/6 in ascending order.\nAnswer: -2, -0.5, 1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11870314769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d + 772. What is o(-59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -104303 (base 5) to base 4\nAnswer: -321313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 4, e: 1, x: 2, p: 1}. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 3 in decreasing order.\nAnswer: 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5, -12*p + 15*p = 4*l + 50. Suppose p = m + 5*k, -k - 27 + 38 = 2*m. What is w in 2\/15*w**m - 2\/5*w**4 + 0*w**2 + 4\/15*w**3 + 0*w + 0 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 875*k**3 - 5*k**2 + 21*k - 27. What is the units digit of v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 5*o**2 - o**2)*(-5*o - o + 3*o)*(10*o + 56*o + 4*o).\nAnswer: -840*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 12:42 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 18*g + 4*g - 28 in the form x + z*g and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 22*r + 1. Let i be y(22). Let d(q) = -q**3 + 3*q + 4. Let l(b) = -b**3 + b + 1. Determine i*d(v) - 4*l(v).\nAnswer: 3*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.11737.\nAnswer: -0.011737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21851 times -0.4?\nAnswer: 8740.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (68*v - 47*v - 49*v)*(1 - 1 + 2) + 2*v + 3 - 3 + (1 - 3 + 3)*(2*v - 3 + 3) in the form j + r*v and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*q + 16. Suppose 5*c - q - 77 = 0. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19914.03 * 0.5.\nAnswer: 9957.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 47*s - 182. Let i be o(8). Let w be 25\/(-3) - (-8)\/(-12). Let j = w + 31. What is the greatest common factor of i and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -19*f**3 + f**2 + 3*f. Let i be v(-1). Suppose -i - 7 = -3*y. Let l = 30 - 14. Solve 18 = 2*d - 3*w + y*w, 0 = -2*d - 4*w + l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**3 + 15*k**2 + 53*k + 83. Is m(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2601609 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxcbccqibxcbcx. What is prob of picking 1 i, 1 c, and 1 q?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2602862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172704 and 32872?\nAnswer: 101377248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9240 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147958, 295918, 443878, 591838, 739798?\nAnswer: 887758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 1\/8*l**2 + 1\/12*l**3 + 1 - 1\/2*l. Factor y(p).\nAnswer: (p - 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + 2 - 2)*(2*q + q - 5*q) - 3*q**2 + 5*q**2 - 3*q**2 + (3 - 3 - 2)*(q - q + q**2) + 2*q**2 - q**2 - 3*q**2 + 13*q + 6*q**2 - 13*q)*(4*q + q - 6*q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 - 4 = 0. Let v(a) = 4 - k*a + 4*a - 3*a. Is v(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.3 - 8. Let c be 3 + 3 + 0 + -1. Let t = -95.4 + 98.4. What is the biggest value in t, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167\/144 + -15\/16. Let j = 9 + -4. Sort -0.1, i, j in increasing order.\nAnswer: -0.1, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3497a (base 13) to base 6.\nAnswer: 2020513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 1. Suppose 0 = -6*j + 49 - 85. Let t(d) = 4*d - 1. Determine j*m(w) + 5*t(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*q + 37*q + 123*q + 25*q to k + d*q and give d.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 30 + 1 = 2*x, -2*x - 37 = -5*o. Let w(m) = 5*m**2 - 5 - 14*m + 14*m. Let y(n) = -57 - 86 + 169 - 26*n**2. Calculate x*w(a) - 3*y(a).\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2)*6\/9. Let g be -2 - y\/(-2) - 2. Calculate the remainder when 25 is divided by (14 - (1 + g)) + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1864*m**5 - 631*m + 2 wrt m?\nAnswer: -37280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (238\/(-4))\/(-17) - (852 + -855)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415542?\nAnswer: 2, 3, 69257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-1) - (-4 + -6). Suppose -2 = d*t - 7. Put -5, t, -1, 0 in decreasing order.\nAnswer: t, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72, -311, -896, -2001, -3800, -6467, -10176, -15101?\n\"Answer: -29*s**3 + s**2 - 39*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3140.6 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 504 * -27592\nAnswer: -13906368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 - -158. Find the common denominator of ((-35)\/40)\/(2\/l) and -61\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847)*-1)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.151, -1\/76, 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + 1 - (-2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 6 + (-40 - -76)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 193*i + 374*i + 205*i + 3*i - 6*i + 2*i + (i - i - i)*(3 + 0 - 1) - 3*i - 3*i + 4*i + (-1 - 4 + 3)*(i + 2*i - 2*i).\nAnswer: 765*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 3*f**2 + 23*f - 64. Let h be l(3). Sort h, -7, 22.\nAnswer: -7, h, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from xhkli.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -256 + 1429*f - 250 - 258 + 764 as w + a*f and give a.\nAnswer: 1429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 2. Let j(f) = -3*f**2 + 118 - 113 + 2*f**2. What is -2*j(b) + 5*o(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 23*x**3 - 6*x**2 - 12*x - 7. Let w(s) = -48*s**3 + 14*s**2 + 28*s + 16. Let j(m) = -5*n(m) - 2*w(m). Calculate j(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (10 - (-6 - -7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h\/(h\/(h*h\/(h\/h**(1\/3))))*h)*h*h*h*h)**(-8\/3) assuming h is positive.\nAnswer: h**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(-42) - 232\/3. Let n = -55 - t. Let l = -19 + n. Solve 2 - l = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1079\/(-117) - -9) + 30\/(-27)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, 11, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15083, -14881, -14667, -14435, -14179, -13893?\n\"Answer: u**3 + 195*u - 15279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15629231 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228090 and 10980.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082616584 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 19*f**2 + 7234*f + 394678. Determine m(-66).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgg when three letters picked without replacement from iiidgcciigugigii?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(192) + -1)*-4 - (2*(0 + sqrt(75) + sqrt(75)) + -3).\nAnswer: -148*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 2*w**2 + 2*w - 3. Let u = 46 + -49. Let j be n(u). Let o(k) = -k + 12. Let i be o(j). Calculate the highest common divisor of i and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 3)\/(4\/(-4876))*-1. Which is bigger: -3653\/3 or c?\nAnswer: -3653\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 41.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 40 = -5*s, 5*a - 2*a - 20 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/63*1\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/20 + 487*w**4\/8 + 860*w**2 - 1. Factor h(m).\nAnswer: 3*m*(m + 487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -84. Suppose g + 42 = -0*g. Let c = g - -61. Solve -6 = -i*p + c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -227, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118846.\nAnswer: 2, 7, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1433 + -98894\/69. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*m - 737 + 107 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -79129000 to the nearest 1000000.\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/2869 + 312013\/507813. Let v = 3\/59 + p. Put v, 1, 3, -3 in descending order.\nAnswer: 3, 1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33622080 and 4.\nAnswer: 134488320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-3)\/(-4) - 9\/36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 90, -5, 63\/5?\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 26 = -2*g, 25 = -3*d - d + 3*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/20 + -1413\/10. Let g = d + 142. Let l be (0 - 8\/14)\/2. Is g at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 50 = 5*x - 17. Solve 0 = x*s - 91 - 5 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + (2*sqrt(2299) - sqrt(2299) - sqrt(2299))))**2 + ((2 + sqrt(475) + sqrt(475))*5*-6)**2.\nAnswer: 36000*sqrt(19) + 1713744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 763 + -1792. Is c\/(-9) - (-10)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -30 - 10. What is the units digit of 8\/l*5\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-14))\/((-10)\/7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.6. Let t = -1.11 - -0.11. What is the smallest value in -2\/17, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 2*i**3 + 0*i**3)*(0*i + i + 5*i + (0*i + 2*i + 0*i)*(-1 - 4 + 6)) + 0*i**4 + 3*i**4 - 4*i**4.\nAnswer: 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2798 + -2760. Solve -8*g + 150 = -x*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327234 is divided by 101.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**5 - 935*i**4 + 42865*i**3 - 564305*i**2 + 2519980*i - 1997600 = 0.\nAnswer: -227, 1, 8, 11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14227, -28453, -42679?\nAnswer: -56905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110651 - -5?\nAnswer: 110656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -1165138?\nAnswer: -1165133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 3 = -13*r + 4*d, 0 = r - 2*d + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -24.848.\nAnswer: -124.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/21, 0.35, 7\/5, -10\/9, 5, -11, -3\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2648*c = 2661*c - 26. Let m(s) be the first derivative of 0*s - 26\/3*s**3 + 14 + 0*s**c. Let y(f) = -2*f**2. What is m(y(l))?\nAnswer: -104*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 20*l**3 - 422*l**2 + 43*l - 66. Determine y(21).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -14\/3*y**3 + 5*y**2 - 18 + 4*y. Determine o so that f(o) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 3*l - 2. Let g(w) = 11*w**2 + 7*w - 4. Let f(u) = -4*g(u) + 9*v(u). Factor f(i).\nAnswer: (i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*f**4 + 0*f**4 - 2*f**4 + (3*f - 2*f**2 - 3*f)*(-9*f + 9*f - 5*f**2).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27548169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f - 2. Let c(o) be the second derivative of 0*o**2 + 97*o - 1\/6*o**3 + 0. Give c(i(p)).\nAnswer: -5*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a milligram in micrograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 1115858.\nAnswer: 36823314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5949, 12, -2 in increasing order.\nAnswer: -2, 0.5949, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iissoooidiidwoosswii. Give prob of picking 1 w and 1 s.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(112) + -2)*-2 - sqrt(112)) + 4 + 3 + -3*-2*sqrt(112)*5*-4.\nAnswer: -492*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - -44. Let u = -254.13 - -158.13. Let d = u + f. Which is the nearest to 1? (a) -4 (b) d (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21114316709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141510, -566047, -1273618, -2264229, -3537886?\nAnswer: -5094595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 183396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6664786 is divided by 136.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.44 + 0.02. Let u = 12.58 - t. Let w = u - 13.00000008. What is w rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203299491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*k = -22, -2*m - 3*m - 20 = k. Let a be 15\/2*2\/m. Let u = a + 7. Sort 4, u, 3 in ascending order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, 25220, 2, -2 in descending order.\nAnswer: 25220, 174, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 5. Let b(z) = -z + 3. Let d(w) = 5*b(w) - 3*v(w). Let a be d(4). Let f be (2\/4)\/((-2)\/(-80)). Calculate the highest common divisor of f and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 11628214.56232.\nAnswer: -11628214.50232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-16)*2*1597\/17567?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17110, 16774, 16438, 16102, 15766?\nAnswer: 15430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10414294829 + 0.3.\nAnswer: 10414294829.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 6*n**2 - 4*n - 2. Let h be -2 + ((-45)\/(-5) - 2). Let f be u(h). Let l(j) = j + 2. What is l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a kilogram in grams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87070 by 5.\nAnswer: -17414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49356243 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*u + 96, -5*u + 112 = -3*b + 6*b. Let f = -33 + b. What is the smallest value in f, 1, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 2122022112122?\nAnswer: -2122022112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 20*n - 4. Suppose 8*g - 22 = 6*g. Let u be -3*1 + (13 - g) - -8. Is x(u) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144370?\nAnswer: 2, 5, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t**(-22\/3)\/t))*t*t\/(t*t**(-3\/14)*t) assuming t is positive.\nAnswer: t**(-341\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -0.4 (c) 2 (d) -0.07 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 6*s**2 + s - 7. Let j be y(6). Is 8 a factor of (1*j)\/(5\/(-80))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184940 by -6605.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -13. Let o be (-44)\/(-506) - 2020\/(-46). Let i = x + o. Calculate the remainder when i is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 6*i - 3*i)*(-1 - 2 + 1) + ((-1 + 2 - 2)*(4 - 3 + 1) - 3 + 26 - 2)*(-5*i + i + 2*i).\nAnswer: -44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 752, 1809, 3280, 5159, 7440, 10117, 13184?\nAnswer: 16635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-81 - -76)*(-9236)\/10?\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -8*x - 126. Solve -3*l + 10 = -r - 6*l, r - x = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-698)\/2*-1 - 2. Suppose -4*l + 5*c = 4*c - x, -2*l = -c - 171. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1129 by -166.\nAnswer: -1129\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-137 - -131 - 699\/(-116))*(-192)\/72\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 0.3, -0.0131, -0.8?\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 27*u + 144 = 0. Let h = -9 + 24. Suppose 0*g - 5*g = -h. Solve 3*k + g*z = 4*z + 14, -2*z + u = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51\/7 of a week?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*h = 835, -3*q + 8*h = 9*h - 2553. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 4*h**4\/3 + 3*h**3\/2 - h. Let l(v) = -65*v**2 - 35*v. Let i(a) = 2*l(a) + 9*r(a). Find the second derivative of i(c) wrt c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:32 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+965300528\nAnswer: 965300528.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 34752 (c) -0.4 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 129123.\nAnswer: -2\/14347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11 - 3*f + 11. Let q be w(3). Let o = -871 + 874. Put 1, o, q in descending order.\nAnswer: o, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 + 2039*p**2 + p\/5 - 2039.\nAnswer: -(p - 10195)*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(162) - sqrt(2))**2 + -2*(sqrt(22)\/(sqrt(11)*-1))**2.\nAnswer: 48*sqrt(2) + 383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7258, 14511, 21772, 29041, 36318?\n\"Answer: 4*b**2 + 7241*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (162\/180)\/(3\/2). Factor t - 6\/5*q - 9\/5*q**2.\nAnswer: -3*(q + 1)*(3*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 2, -2\/11, -3\/5 in increasing order.\nAnswer: -9, -3\/5, -2\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 64\nAnswer: 33\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3735*k - 343*k + 67840 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342141754?\nAnswer: 2, 173, 988849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10. Suppose 4*j + v = -m - m, 3*j = -5*m - 17. Let b be 4\/2 + j + 7. Solve 3*w = w + b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 84. Let h = 1.8 + -2. Sort 0, h, t, -4.\nAnswer: -4, h, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000092792 to seven decimal places.\nAnswer: -0.0000928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5641329 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9*k + 1032 = 0. Calculate the remainder when k is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4755*d - 458*d**3 + 20 - 1085*d**3 + 5 + 4742*d wrt d.\nAnswer: -9258*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*55\/242 + (-90)\/(-60) - 1935\/(-33)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -202*s**2 - 230*s - 64. Let c(l) = 201*l**2 + 229*l + 64. Let g(j) = -6*c(j) - 5*w(j). Find d such that g(d) = 0.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6413696ns to minutes.\nAnswer: 0.00000000002735616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4186550 by -2263.\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 465714 + 0*j**2 + 465714 - 1016*j**3 + 1013*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.167558 and -1509.683.\nAnswer: -1509.850558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.8 + 13.7. Let c = w + 23.10000099. Round c to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362679793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -25\/4*h**4 + h**2 + 0*h + 33 + 0*h**3. What is the second derivative of z(q) wrt q?\nAnswer: -150*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:23 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2348.438 centimeters?\nAnswer: 0.02348438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2297881712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(2\/(10\/(-19)) - -4)*641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v)\/(v\/(v\/v**(3\/2))) assuming v is positive.\nAnswer: v**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4106, -4098, -4078, -4040, -3978, -3886?\nAnswer: -3758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -241 + 182 - (8 + (10 - 5))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 7:11 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**5\/2 + 165*i**4\/2 - 795*i**3 + 1915*i**2 - 3525*i\/2 + 1125\/2 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v + 23\/105*v**7 + 5\/12*v**5 + 0 + 0*v**3 + 0*v**4 + 1\/120*v**6 + 14*v**2. Find the third derivative of c(n) wrt n.\nAnswer: 1104*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32105, 28257, 24409, 20561, 16713?\nAnswer: 12865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*l - 529 + 749 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.266945744 and -0.13.\nAnswer: 4.136945744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 5*h**2 + 3*h - 3. Calculate g(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + ba?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 10*l + 4. Let c = 176 - 186. Determine m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**3\/3 - 18*v. Let c(s) = -2*s - 3. Let a be c(-3). Let b(g) = a*g + g - 2*g. What is z(b(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 2 - 0\/(-5). Let t = j - 9. Let i(w) = -w**3 - 10*w**2 - 2*w - 15. Is i(t) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/5))**7 assuming u is positive.\nAnswer: u**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.083 + -0.917. Which is the third smallest value? (a) -3\/4 (b) y (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 - 5*y**2 + 780*y**4 - 8*y**3 + 2*y**3 - 764*y**4 - 6*y**5 = 0. Calculate y.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*g**3*v**3 - g**3*v**2 - 5*g**3*v - 631*g**2*v**3 - 2*g**2 + 2*g*v**2 - 168*g wrt v?\nAnswer: 1194*g**3 - 3786*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12*2 - 4\/2 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178451276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2 + 60*u + 57 = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6459 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 20 + 2 = 0. Suppose -t = -h*t + 40. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Calculate the highest common divisor of 12 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 110, 115, 120, 125?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12b + 3?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 5*k**2 - 7*k + 7. Let f be t(6). Let h be ((-2)\/(-6))\/((-4)\/(-48)). Let u = h - f. Solve -v - u*z = -3 - 4, -z + 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2. Let m(y) = -2*y - 8. Let n(w) = 12*a(w) + 3*m(w). Let z(l) = 17*l**2. Calculate z(n(h)).\nAnswer: 612*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/6 - -3\/2. Which is the third biggest value? (a) -2 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37560 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 2, x: 2, f: 1, h: 1, m: 1}. What is prob of picking 1 m, 1 h, and 1 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42463\/33 - 1287. Let w = -1\/11 + u. Let f = -6 + 6.1. Which is the nearest to w? (a) -0.1 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -913*u + 127219. Determine p(140).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*-148.43153\nAnswer: -148.43153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204704?\nAnswer: 2, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 10*s - 2. Let l be a(6). Suppose -4 = p - l. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*25\/(-60))\/((-108)\/36).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 2*u**2 + 4*u - 6. Let q be g(4). Suppose 3*d - 107 = 4*r, 0 = 5*d - 5*r - 15 - q. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 greater than or equal to 1238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34728 - 34723. Let w be (-2 + 2\/(-4))*2. Which is the nearest to -0.1? (a) -1\/5 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*x**2 + 298*x**2 + 138*x**2 + 455*x**2 + 658*x**2.\nAnswer: 1279*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 6*w + 2. Let b be (31 + 3)\/((-10)\/5). Let q(k) = 488*k**2 - 14*k + k**3 - 6 - 472*k**2 - 3*k. Let n be q(b). What is l(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2\/(-8)*142197\/6231 - 7\/(-4)?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82176 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3081 and 4802.\nAnswer: 6281.4962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 47*s + 278. Let c be i(-7). Let f = 274 - 155. Let j = f + c. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 6*c - 46, 0 = -38*t + 39*t + 9*c + 71 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Let h(b) = -b**3 + 5*b**2 + 6*b - 1. What is the units digit of h(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b6 - -a3?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436.2199 grams to nanograms.\nAnswer: 436219900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -0.35. Let o = 0.4 + m. Let l = 8 + -6. Which is the closest to -2\/3? (a) 0.5 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-112\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 10*r**2 + 27*r - 159. Let d be t(-13). What is the third biggest value in -10, d, -5, -4\/3, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.481661713 to four decimal places.\nAnswer: 0.4817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/165 and 92\/165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.89 - -0.11. Let u = -1.999715 + y. Round u to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/3))**(-21))**(-3\/22))**26 assuming x is positive.\nAnswer: x**(1365\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 1612.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 + 84 = -31*n - 353 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-90)\/(-760)*((-704)\/144)\/(-22)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqaqqqqqqqqqqqqq?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12*s**2 - 6. Let f be l(-5). Suppose 9 - f = -5*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12)*(88\/(-40))\/(-11).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -12*p. Let f(z) = -z**2 + 6*z + 6*z - 12*z. What is f(x(g))?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 2. Let b(r) = r**3 - 15*r**2 - 32*r - 45. Let u be b(17). Let i(j) = 25*j**2 - 11. Give u*d(s) - 2*i(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = 4*x. Let i be (x\/10)\/(4\/(-240)). Let v = i - 14. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = 0, -133 = -3*l - 2*y + 43. What is the greatest common factor of l and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:42 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 87?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-1)\/2*(-2 + 2). Solve j = -3*g - 10 + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4883809 to the power of 1\/2, to the nearest integer?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*y = -16*y - 102*y + 639*y + 39088 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 79. Let o be k(-29). Is (4\/o)\/(((-66)\/(-73896))\/11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(2*1*(sqrt(272) + sqrt(272)*2 + 2) + -4))**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:53 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) - (-2704)\/32. Let m be 2*-2 - y\/(-12). Suppose -z - 1334 = -m*b, b + z = 3*b - 891. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110001000010101 (base 2) to base 15.\nAnswer: 12237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**2 + 528*b + 526. Calculate g(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6195 and 138740?\nAnswer: 24556980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 2535 - 165 = 0. Suppose 4*p - w = 635, -2*p + o = 12*w - 16*w. Which is smaller: 159 or p?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - -1 - (2235 + -2185).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -551 times -96?\nAnswer: 52896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 27. Let g(c) = -2*c + 0 + 10*c**2 - c**2 + 6 - 3*c - c**3. What are the prime factors of g(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Suppose r + 0*r = j. Let v = -9 + 14. Solve 5*s - r*x = -11, x - v = -2*s + 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2487595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(191 + 296*t - 191)*(3*t + 3*t - 2*t) as a*t**2 + p + f*t and give a.\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 20*b**2 + b - 28. Let u be o(19). Let n = 22 + u. Suppose 3*r = -143 + n. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2612*c**5 - 44159*c**4*w**2 + 14*c**2 + 103*c + 7005*w**2 + 2 wrt c.\nAnswer: 156720*c**2 - 1059816*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcp when three letters picked without replacement from {r: 2, q: 5, d: 1, c: 1, p: 1}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**3 + 114*o**2 + 2*o + 52. Determine s(-19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82 and -1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483762 is divided by 161240?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*w - 9*w + 5*w + w in the form k*w + q and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + 0 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -189*i - 60*i**3 - 999\/4*i**2 + 0 + 3\/4*i**4 = 0.\nAnswer: -3, -1, 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6018090 to the nearest 100000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.051 - 0.271. Let m = n + -0.86. Round m to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 593*t**3 + 45380*t**2 + 32599932*t wrt t.\nAnswer: 3558*t + 90760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -14 + -11 + 31\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13095, 26402, 39907, 53610, 67511?\nAnswer: 81610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -7, 11, -2, 10, 2 in descending order.\nAnswer: 11, 10, 2, -2, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {t: 2, l: 2, e: 5, h: 2, i: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - (-56)\/30. Let o = 5 - k. Solve 16\/3*u - 8\/3 - o*u**2 + 2\/3*u**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12051 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13631 and 1161.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716*u + 704*u + 706*u - 2128*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5009 = 178*z - 21691. Solve -z = 9*w - 78 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/10672 and -79\/184.\nAnswer: 10672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) + 54\/7*-15. Let b = k - -119. Solve 0 = -2*n + b*u - u, 3*n + 3*u = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 188 + 1184 = 0. Let z = 434 - q. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19)*-1 - sqrt(114)\/(sqrt(6)*-4))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1765, 1436, 1103, 766, 425, 80?\n\"Answer: -2*w**2 - 323*w + 2090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 2.5. Let t = u - -1.5. Let h = -59\/21 - -22\/7. What is the third smallest value in h, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 2:44 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 4.3. Let r = m + 4. Let t = -2 - -2.1. What is the nearest to 0 in -5, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10517435 and 3.2.\nAnswer: 10517438.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421146 is divided by 127?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77064.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 136.3844?\nAnswer: -2.727688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 7*b + 3. Let o(g) = 6*g**3 + 7*g**2 + 29*g - 19. Determine 3*j(i) + o(i).\nAnswer: 6*i**3 + i**2 + 8*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 76 = 14. Let y(s) be the second derivative of -s**4\/12 + s**3 + 3*s**2 - s. Let k be y(7). Sort k, 3, w in ascending order.\nAnswer: w, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 5, y: 1, j: 2, w: 3}. What is prob of picking 2 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19170 and 1415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*l = -40, 5*l + 167334 = -3*s + 167314 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 3905*n - 369050.\nAnswer: -5*(n - 671)*(n - 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 698 + -1438. Let g = d - -742. Solve -g = -2*l + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - ((131 - 106) + -1 + -100)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94985627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182 and 147?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1290 = 325*m - 583*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7245 + 7954 + 8419 = 676*z - 4774 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-1 + 17 - 15).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4 - 3203110*d**3 + 26692327*d**2 + 51249340*d + 21353900 = 0.\nAnswer: -1, -2\/3, 10, 1067695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 37. Suppose u = -p + 5*p - s - 3, p + 4*s = 22. Suppose z + 15 = -p*z. Sort z, 4, 5 in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -23, 27, 149, 367, 705, 1187, 1837?\nAnswer: 2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(20*((-130)\/78)\/1*2\/4).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. What is the common denominator of ((-158)\/(-48))\/(2\/u) and -79\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150.00774423 - 0.00475423. Let t = -150 + f. Round t to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*t**2 + 137*t**2 + 175*t**2 as d*t**2 + v + x*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - 2*a + 2*a)*(-12*a - 18*a - 18*a + 4*a - 3*a - 3*a + (1 + 3 + 11)*(-5 - a + 5)) to y*a**2 + b + w*a**3 + i*a and give w.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in millimeters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 326, 354, 396, 452, 522, 606, 704?\n\"Answer: 7*u**2 + 7*u + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u = -58*u - 53*u - 30*u - 4026 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576\/54*(15\/2)\/5 and 184?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 - -0.6. Let n = -191\/24 - -61\/8. Which is the nearest to 2\/9? (a) 1 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**2 - 1849 + 166 - 269*p**4 + 2*p + 140*p**3 + 140*p**3 - 277*p**3 wrt p.\nAnswer: -3228*p**2 + 18*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01268653034 rounded to five decimal places?\nAnswer: -0.01269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 3*d - 3. Let h be q(2). Let l = 41424 - 41427. Suppose g = -g + 10. What is the closest to h in l, -2\/3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2320 divided by 20.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (1*-3*sqrt(11))**2)*-2.\nAnswer: -2*sqrt(11) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-20)*15\/(-6). Which is smaller: 0.03 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.2 - -4.8. Let k = -23.5 + 28.5. Which is the smallest value? (a) t (b) 4 (c) k (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 2, y: 2, e: 2}. Give prob of picking 1 h and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3 - 23*c**2 - 298*c + 320 = 0.\nAnswer: -10, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3882745*x**2 + 857121?\nAnswer: -7765490*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a**(-4\/9)*a*a)\/a*a)\/a)\/(a**(-3\/8)*a))**10 assuming a is positive.\nAnswer: a**(695\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 82\/42)\/(-14 + (-255)\/(-18))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -7\/5, -7024769\/2 in decreasing order.\nAnswer: 4, 0, -7\/5, -7024769\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (-1 - (-2 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44423755511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k + 11 + 27*k - 15 - 62*k + 4.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29599?\nAnswer: 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -193.\nAnswer: -1\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 3.1\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15))\/((-2149)\/(-27630))*7*3\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129242 = 21*p + 689758. What is p rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 1 - 1 - 3*f**2 - 2*f**2 + 3*f**2 + (-4 + 3 + 0)*(0*f + f**2 + 0*f) - 22*f**2 - 9 - 16 + 20*f**2.\nAnswer: -4*f**2 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20536325?\nAnswer: 5, 467, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(560\/7)*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(4)\/sqrt(2)*2 + ((sqrt(162) + 0)**2 - sqrt(150)\/sqrt(3)).\nAnswer: -15*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:13 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -4*w + w. Solve 2*g - 4*k + 12 = 0, -g + w*g = -k + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, b: 1, o: 1, g: 2, a: 5, j: 1}. Give prob of picking 1 a and 1 i.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + ((sqrt(112)*2 + sqrt(112) - sqrt(112))\/sqrt(8))\/(sqrt(28)\/sqrt(4)*5) + -1*sqrt(162) + -4 + (1 + sqrt(162) - sqrt(162)) + 4 + sqrt(162)))**2.\nAnswer: -64*sqrt(2)\/5 + 1632\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/10)\/(-1 - (-8)\/10). What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30625297057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 3*v + 2)*(3 + 1 + 1)*(0*v**3 - 5*v**3 + 4*v**3) as o*v**3 + z*v**2 + c + a*v**4 + m*v and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 295406436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/120)\/(2\/(-5)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = j. Let b be (-4)\/(-14) - (-12)\/(-42). Sort 11, j, -2, b in ascending order.\nAnswer: -2, b, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 7:36 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4235) - -3*sqrt(4235) - sqrt(4235)) + sqrt(140)\/(sqrt(36) - sqrt(4)))\/(2*sqrt(567) + -1*sqrt(35)\/sqrt(5) + sqrt(7) + sqrt(7)).\nAnswer: 67*sqrt(5)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:14 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**5 - 4*g**5 + 28*g - 2*g wrt g.\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250 - 247. Solve 5*y - 2 = -3*k - 0, 3*y - j*k = -18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5 + 110*z**4 - 7017*z**3 + 118906*z**2 - 655840*z + 890400 = 0.\nAnswer: -159, 2, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/540 and -19\/810.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 46 = 11. Let x = -0.148 - -1.148. Is x smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -7*l**4\/24 - l**3\/2 - 9*l**2. Give h(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and -46605.42 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3566702375 to the power of 1\/2, to the nearest integer?\nAnswer: 59722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 9. Let q be p(-15). Suppose -104 = -17*k - q. Solve -k*d + 2 - 22 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-347638 - 7)\/(-5) + 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47 - (-10894)\/234)*(-3)\/(-4). Let g = -15 + 15.9. Let n = g + -0.41. Is x <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.88 + -40.88. Let h = x - -44. Sort h, -0.5, -3 in descending order.\nAnswer: h, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**(-2\/43)*(i**1\/i)\/i*i*(((i\/(i\/(i\/(i*i*i**(-2\/7)*i))))\/i)\/i)\/i*i assuming i is positive.\nAnswer: i**(-5618\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Let m = x - 0. Suppose -5*y + 175 = -5*s, y + 30 = 3*s + 75. Solve -2*z + 7*z = 5*v - y, m = -4*z - 4*v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + -14 - -4 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6562, 6599, 6636, 6673, 6710?\nAnswer: 6747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, -9, -1, 24, 14 in descending order.\nAnswer: 24, 14, -1, -2, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2554299915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13327*h. Let b(p) = -26*p**2. What is b(f(n))?\nAnswer: -4617832154*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -20. Suppose -c = l*c - a + 68, -a = -4*c - 54. Do -15 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595 - 1910624108?\nAnswer: -1910622513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.16 (b) -4 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4892, -4953, -5056, -5201?\n\"Answer: -21*q**2 + 2*q - 4873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15884 and 704.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-4 + 16\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + 1.727. Let x = m - -0.0729911. Round x to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 6. Suppose i*z - 72 - 189 = 0. What is the remainder when z is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * 2.9\nAnswer: 6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 1 + 1)*(-98 + 12*c + 200 - 100) to v + o*c + k*c**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5 + 16 + 5*u - 11. Let t(i) be the first derivative of i**2 + 1. Give r(t(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005412425 rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67? (a) 0.4 (b) 0.28 (c) 0.0455 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 - (-1 + 6 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*v**2 - 11*v**5 + 17*v**2 - 12*v**5 - 2 + 6 wrt v?\nAnswer: -1380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9))**48\/((i**(3\/4)*i)\/(i*i*i\/(i\/(i*i**(-3\/2)))*i)))**(-35) assuming i is positive.\nAnswer: i**(-4795\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - k - 2 + 14 = 0, m + 2*k + 6 = 0. Let s be 6*((-20)\/6)\/2. Let h = m - s. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3271 = 24*a + 751. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-32)*-4)\/(9\/(-6)). What is the nearest to -3 in g, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32483, 64328, 96173, 128018, 159863, 191708?\n\"Answer: 31845*v + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = 6*m - m, 0 = -5*k + 2*m - 25. Let l = -2\/181 - -189\/724. What is the closest to l in 0.5, k, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -557231\nAnswer: 13\/557231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5334244 - 24?\nAnswer: 5334220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1311 divide 959695263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*v + 4099*v - 69398 - 35712 = 0 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.5, -2, 0, 5\/2 in descending order.\nAnswer: 5\/2, 0.5, 0, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**4 + 4*n**4 - 2*n**3 - 19*n**4)*(0 - 13 + 6).\nAnswer: 63*n**4 + 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 4:01 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/12)\/(6\/(-16)). Let t be 4\/(-6) - 46\/p. Let a = t + -4. Solve m + 16 = -a*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626568 is divided by 280?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 38*j - 46. Let p be a(11). Calculate the highest common factor of 1773 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 115\/15 + -5 + -2. Which is the third smallest value? (a) -14 (b) -2\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 3 + (-4)\/(32\/(-88)). Is (-297)\/2*((-168)\/18)\/p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*v + 15 = -14, 6 = 2*u - 3*v. Let n(o) = -5*o - 3. Let i be n(u). Let x(m) = -m**2 - m. Let r(s) = 14*s**2 + 14*s. Give i*x(z) + r(z).\nAnswer: 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 0.3, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9611 and 1.\nAnswer: -9610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*g**5 - 2324*g**5 - 161*g**2 + 161*g**2 + (1 - 2*g - 1)*(3*g - 3*g + 2*g**4).\nAnswer: -2316*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122856284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2242, -17723, -59736, -141547, -276422, -477627?\nAnswer: -758428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = -54. Let a = d - -55. What is the remainder when a is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.659299ml?\nAnswer: 0.005659299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36412.85 millimeters in nanometers?\nAnswer: 36412850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/7))**(1\/38))**38 assuming h is positive.\nAnswer: h**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 100*r + 105.\nAnswer: -5*(r - 21)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a - 731?\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32430 divided by -1?\nAnswer: 32430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 2*x + 0*x)*(-7*x - 8*x**2 + 7*x) + 1 - 1 + x**3 + (x - x + 2*x)*(-3*x**2 + x**2 + x**2) in the form m*x**2 + o*x**3 + d*x + r and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -62 - 130. Suppose 6*z - k = 2*z. Solve 3*h + 3*n - z - 8 = 0, -n - 22 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0 - 7) + (27 - 23)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 59.4. Let v = 8 - u. Sort -3, v, 12, 1\/7 in descending order.\nAnswer: 12, v, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 40*d = -237. Let z = -233 - d. Suppose 4*p - 16 = 0, -4*g + 5*p + 36 = -0*g. What is the remainder when g is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 170.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3320432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -18*t**2 - 1367*t + 113. Let x be f(-76). Solve -81*m = -118*m - x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18947682.\nAnswer: 2, 3, 13, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 12805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-15)*b*b*b**7*b assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166504 is divided by 320?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**3\/10 + 51478*t**2 - 1544347*t\/10 + 514783\/5 = 0.\nAnswer: -514783, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 16. Let d be (0 - (0 - -1))\/((-46)\/92). Find the third derivative of 3*o**b - 5*o**2 + 8*o**d - 2*o**6 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*p - 37, -3*i + 23 - 2 = -2*p. Suppose 2*o - u = 5, u = -o + 4*u + i. Factor -4\/3*y**4 + 8\/3*y**o + 0*y + 0*y**3 - 4\/3.\nAnswer: -4*(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 7. Let v be 1 + 386\/10 + 717\/(-1195). Suppose -60 - 252 = v*b. Determine c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3052203 by 2409.\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d7c1 + -e9?\nAnswer: 6d6d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253882 is divided by 1365.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (-57 - (-34 - 61)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*q**4 - 273*l*q**2 + 7*l - 12*q**4 wrt q?\nAnswer: -24*l*q - 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 4*b**2 - 11*b - 1. Give q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 34*l**2 + 2*l - 7855. Let t(i) = 86*i**2 + 5*i - 15708. What is 5*r(j) - 2*t(j)?\nAnswer: -2*j**2 - 7859","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/5257 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -607107\/85 - -7142. Let f = 4\/17 + m. Let t = 0.8 - 0.4. What is the smallest value in -3, t, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 9*o**2 + 84*o + 43. What is w(14)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000551569 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14095 and -4.\nAnswer: -56380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10 - 6*v - v + v**2 + v. Let l be b(10). Suppose -g = g - l. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-3))\/(-4))\/(476\/102)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946240321?\nAnswer: 3, 281, 3494947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -42.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**7\/105 - w**6\/75 - w**5\/50 + w**4\/30 + w + 4. Factor j(y).\nAnswer: 2*y**2*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 3*w - 5. Suppose 3*d + 4 = 19. Let n be a(d). Suppose -4*y = 4, 5*y = -4*l + 271 - n. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**5\/20 + 7*j**4\/12 + j**3\/2 - 7*j**2 - 8*j. Let c = 30 - 14. Calculate the smallest common multiple of a(-6) and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 43480 = -15*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.178237 litres to millilitres.\nAnswer: 9178.237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzsg when four letters picked without replacement from pphwwhzpphpppwggpsp.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 1:58 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1022\/21)\/((-2)\/138). Let w = f + 1358. Does 12 divide 3\/(-21) + w\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 3*z + 3*z)*(26 - 43 + 39)*(13*z**2 - 4*z**2 - 6*z**2).\nAnswer: -198*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/(1*(-4)\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*b - 490 = 1034 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -14. Suppose -6*x = -4*x - p. Let t = 13 - -16. What is the remainder when t is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1533, -3086, -4645, -6210?\nAnswer: -7781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2370 - 2356. Solve 2*o + d = -2, -2*o - 19*d = -22*d - s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 divided by -4?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.41 and 2\/61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/42 and 79\/114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59930483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 - 11 = 0. Suppose -4 = -u*w + 2. Let x = 46.1 - 46. Which is the nearest to x? (a) 1\/4 (b) w (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1374758 + -774758. Round n to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*n**2*x**2 + 12837*j**2*n**2 + 6*j**2*x**2 - 10*j**2*x + 16*j*n*x + 2*n**2 wrt n?\nAnswer: -4*j**2*x**2 + 25674*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-696)\/20)\/(((-42)\/30)\/(-7)). Which is smaller: h or -172?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93\/26 + 7\/26. Let y = -12085 - -84538\/7. What is the common denominator of a and y?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2389668*d - 2389670*d = 2*q + 24, -5*d - 18 = -q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -22*d - 3. Let j(b) = b + 1. Calculate 2*j(f) + v(f).\nAnswer: -20*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*w = -71*w + 45*w + 17024 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20766 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5\/2 + 3*g**4\/2 + 9*g**3 - 21*g**2 + 33*g\/2 - 9\/2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = 2. Let y = -1 + v. Suppose -5*s = -3*w - 18, 9 = -2*s + y*s. Which is bigger: -2\/17 or w?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 = -11. Suppose x + 3*x - u = z, -z + 17 = 2*x. Let l = z + 8. Calculate the remainder when 49 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -26. Determine v so that 3*v - 5*v**2 - 3*v**3 - 10 + 2*v**2 + k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*j - 2 = -7*j, -g + 5*j = 4. Let o be (g\/12)\/((-4)\/128 + 0). What is the third smallest value in -4\/3, o, -0.5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 286, 754, 1428, 2332, 3490, 4926, 6664?\n\"Answer: 4*b**3 + 79*b**2 + 203*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and (-4)\/((-80)\/(-28) + -3)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*d - 7 = 16, -5*k - 4*d = -45. Let y = -11 + k. Find the first derivative of 5*i**2 + 5 + 0*i**y + 2*i**2 - 3*i**2 wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 25. Suppose -a + 4 = z. Determine b, given that 0 + 2\/5*b - 2\/5*b**a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -321804, -321806, -321812, -321822, -321836?\n\"Answer: -2*r**2 + 4*r - 321806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19450*p**3*w - 2*p**2 + 2*p*w + 11520*w wrt p.\nAnswer: 58350*p**2*w - 4*p + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161.54212 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, -4, 4\/5, -5, 4\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 9*q + 11. Let c be n(8). Let j be (-684)\/(-152)*(41\/3 - 1). Calculate the greatest common factor of c and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48539166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*o**3 - 4*o**2 - 475*o**3 - 2*o**2 + 875*o**3 + 6*o**2.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/128)\/(30\/80).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) 40 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l = 32*l - 5*w - 31842, 3*w = -l + 15888. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 694.98?\nAnswer: -138.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 + 2*w**2 + w - 2. Let i(v) = -6132*v**3 - 10*v**2 - 5*v + 10. Determine -5*b(r) - i(r).\nAnswer: 6157*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, -75, 0, -30.\nAnswer: -75, -30, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 17*m**2 + 20*m + 24. Determine y(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d + 13*d - 15*d)*(20*d + 1514 - 1514).\nAnswer: -400*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-41)\/(((-15)\/5)\/3). Suppose 0 = -2*o - 5*y + k - 6, y - 5 = 0. Solve 3*m = 3*t, o*m - t - t + 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 8. Let i be b(4). Suppose 5*r = -2*m - 11, 2*r + r + 1 = -i*m. Suppose t + m*t + 88 = d, 4*d = -2*t + 338. What are the prime factors of d?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(4 + 1 - 4)*(66 - 66 - 135*g)*(-2*g + 2*g + g).\nAnswer: 270*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3 + 7. Suppose 4*u - 16 = 8. Let f be (u\/4)\/(v*3\/(-6)). Solve 0 = 4*j + 3*d - 13, -d = -2*d + f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5*-1)\/(4\/40). Let o = -2 - g. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260 - 124. Let b = h - 521\/4. Calculate the common denominator of 11\/2 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -991049, -1982098, -2973135, -3964154, -4955149?\nAnswer: -5946114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310587711 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: Let x = 395 - 299. Sort x, 0.4, -0.3.\nAnswer: -0.3, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17240.6 minus 232?\nAnswer: 17008.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.64927 + -0.64927. Let x(v) = 83*v**2 - 1. Let y be x(1). What is the third biggest value in b, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1225059506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 12*t - 18. Give j(-13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 349 = -1305. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/120 + z**5\/15 - z**4\/8 - 5*z**3\/3 + 86*z**2 + 7*z. Determine q(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346226 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/6*16\/20. Suppose -5*u + 10 = -5*f, u + 3*f = 2*u - 12. Let n = s + u. What is the closest to n in -5, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9703 is divided by 1808?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22150 + -64?\nAnswer: -221b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -86. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*t - 24*t + 4*t to the form g + y*t and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250 + -220. Suppose 587*n - 582*n = b. Solve n*m + 8 = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38)\/(-4))\/(21\/(-6) - -3). Let d be m*((-4)\/(-6))\/((-32)\/48). Do d and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 8476027219.\nAnswer: 8476027224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -323.\nAnswer: -3\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 less than -1.21?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301210000 + 21030?\nAnswer: -301122310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 372665153 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 0)\/((-2)\/(-3)). Let r be (-15)\/d*12\/(-10). Let i be (4\/(-3))\/(46\/r). Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 2378 = 1894. What are the prime factors of t?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 546938 and 546937 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29160*b - 1162*b - 1607066 = 0 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1. Let k be (-3)\/(-2)*4\/(-9). What is the nearest to -1 in k, -1\/4, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.077 + 28.923. Let z = 61 - j. Let u = -92\/3 + 31. Is u greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(2*sqrt(1210))*3*1 - ((sqrt(136)\/(sqrt(8) - 2*sqrt(392)))**2 - (sqrt(2057) + ((-1 + sqrt(2057) + 0)**2 - sqrt(2057)))).\nAnswer: -481*sqrt(17)\/22 + 347785\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20979 - 11*w**2 + 20979.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 4*p**2 - 293*p + 2872. Give h(9).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1013*h**3 + 6*h**2 - 410*h - 3. Let u(s) = -2025*s**3 + 10*s**2 - 823*s - 5. Let o(m) = 5*d(m) - 3*u(m). Find the second derivative of o(q) wrt q.\nAnswer: 6060*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130 a factor of 64387770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5220 and 7.6.\nAnswer: -39672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 - 106. Suppose -a*d = -23*d - 2. Solve 2*x + 8 = -d*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 408\/138365?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 17 - 9*g + 17 to z*g + n and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 82*n**3 - 4*n**2 - 5*n - 97 wrt n.\nAnswer: -12*n**2 + 492*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/100)\/(-7)*(-4)\/(-6)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4238*n - 422451 = 4247*n - 1849410. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-3*g**4 + g**4 + g**4) - 4*g**2 + g**4 + 3*g**2 + 3*g**2 to x*g**4 + c + u*g**2 + q*g + w*g**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-17 - (20 - (67 - -12)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 + 0*m**2 + (2*m - 2 + 2)*(2*m - 3*m - m) + 0*m**2 + 0*m**2 + m**2 - m**2 + 3*m - 3*m)*(3*m**3 + m**3 + 3*m**3).\nAnswer: -21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 - k + 1. Let o be q(-2). Suppose o*g + 6 + 9 = 0. Let a = -2 - g. Solve 11 = 4*l + a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1137, 1.9, 966?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135032 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: Factor 2*q**4 - 632*q**3 + 620*q**2 + 3144*q + 1890.\nAnswer: 2*(q - 315)*(q - 3)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 - 2*p. Let s(k) = 7*k**2 + 3*k. What is 4*s(g) + 6*y(g)?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*v + 16 - 1 = 0, 2*v - 14 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**7\/70 - w**5\/10 + w**3\/2 + 5*w**2. Let g(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**3 - 17*n**2 + 17*n + 17. Let a(i) = -3*i**3 + 6*i**2 - 6*i - 6. What is -17*a(s) - 6*o(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4625 is divided by 655.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2901 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/12)\/(-3 - 665\/(-56)). Let z be (((-12)\/45)\/(-4))\/((-2)\/6). Is m at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**7\/7560 + s**6\/2160 + s**5\/180 + 5*s**4\/6 - 9*s. Let x(j) be the third derivative of n(j). Factor x(a).\nAnswer: -(a - 2)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-18\/11)*x*x**(-11)\/x assuming x is positive.\nAnswer: x**(-139\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1665892\/91 - -18309. Let g = w + -25\/13. Sort -4, g, -1\/5 in descending order.\nAnswer: g, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5688 + 4552 = 512*g for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-one quarters of a microsecond?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -17. Put a, -1, 3 in decreasing order.\nAnswer: 3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a8730a5 - 2?\nAnswer: a8730a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (6 + -13 - 1). Suppose u*f - a = 47, 2*f = 2*a + 7 + 15. Let o = 17 - 8. Calculate the highest common divisor of o and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*sqrt(18)\/(sqrt(9)*1) + -2*1*sqrt(162)*4.\nAnswer: -102*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(2 + (sqrt(200) - (1*sqrt(200) + sqrt(200)))))**2 + (sqrt(200) - (sqrt(200) + 2 - sqrt(200)))*-4 + -2).\nAnswer: -822 + 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12559*d - 2. Let b(g) = 2*g + 6. Let i be b(-4). Let c be o(i). Let l = c + 38720. What is l rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 71795.32 nanometers?\nAnswer: 0.00000007179532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -56, -60, -44, -2, 72, 184, 340?\n\"Answer: j**3 + j**2 - 28*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:33 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1362979, -5451926, -12266837, -21807712?\nAnswer: -34074551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 5*a = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30817 minus 0.4?\nAnswer: -30817.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9136?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 + 2 = 0. Let j = k - -7. What is the greatest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752*u + 5*j - 18 = -749*u + 3, 0 = -u - 4*j + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0 = -12. Solve f*s + 5*j + 1 = 0, 2*s + 3*j = -2*j + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.46 < -9.07798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmh when four letters picked without replacement from {v: 1, m: 6, h: 6, b: 6}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -1)\/((-6)\/(-26)). Let f = y - 9. Let r(b) = -65*b**2 - 68*b**2 + 136*b**2 - 2*b. Let p(d) = 7*d**2 - 5*d. What is f*p(n) - 9*r(n)?\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b4 - -46b1?\nAnswer: 48a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -2173*m**7\/21 - 13*m**3\/3 - 5*m**2\/2 - 114*m - 11. Find the second derivative of q(l) wrt l.\nAnswer: -86920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 11 + 775*v**2 - 1551*v**2 - 1 + 2*v + 774*v**2.\nAnswer: -2*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 7*p**4\/6 - 13*p**2 + 11604*p. Let y(u) = 9*u**2 - 17. Suppose 0 = -3*n - n + 32. Calculate n*y(g) - 5*l(g).\nAnswer: 2*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376530.\nAnswer: 2, 5, 13, 101, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38943 and 0.2.\nAnswer: 38943.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 915745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -72, 3.3, -2, -6, 3\/7, 0.02?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*u - 3*u. Let f be (u\/(-3))\/((-6)\/(-27)). Suppose f*t + i = 125 - 37, 4*t - 2*i = 124. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 8. Let l(c) = -c + 1. What is h(v) - 6*l(v)?\nAnswer: 9*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17316527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/((-14)\/(-70)). Let r(q) = -2*q**2 - 3*q + 3. Let b be r(c). Let o = b + 47. Solve 4*t + t + o = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-46)\/(-11) - (-14)\/(-77). Let i be (-16)\/(-64) + (-1)\/p. Suppose i = -m - 3*m + 196. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 17565682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1330*a**3 + 3*a**2 + a - 22952 wrt a?\nAnswer: 7980*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10580)\/(-15))\/(-2)*48\/(-32). Calculate the greatest common divisor of x and 1403.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55.1 + -55. Which is the closest to t? (a) -2\/25 (b) -5 (c) -2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*c + 6 = 2*r, 0 = 4*r - 3*c - 12. Solve -r*y - 35 = -4*x, -5*y - 7 + 2 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 119, 278, 485, 746, 1067, 1454?\n\"Answer: i**3 + 18*i**2 + 98*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017105 to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -6*m + 106. What is the greatest common divisor of 56 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9. Solve 3*m - m - 10 = r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -55. Let l = s + 20. What is the third smallest value in 5, l, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 28*f - 31*f. Suppose -k + f = 3*t + 25, -3*t + 5 = -k. Let m be (20\/6)\/(1\/3). Calculate the greatest common factor of m and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -58.5. Let j be 3\/9*17\/(425\/30). Which is the third smallest value? (a) -2\/5 (b) u (c) j (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*w**2 - 2*w**6 + 21*w**2 - 3*w**6 + 16*w**2 wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let w(g) = 2*g**2 - 10*g. Let f(h) = 6*j(h) + w(h). Suppose -16 = -6*c + 2*c. Is f(c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 83.\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8566.06 - 8566. Which is greater: -2\/233 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 = -55*f - 15*f + 33*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (44 + -5) - (1 + 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111 and 122613.\nAnswer: 4536681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, l: 1, k: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6246, 6248, 6250?\nAnswer: 6252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721 - 721 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 3505.2\nAnswer: 70104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -909*d**3 + 643*d**2 + 20. Let v(i) = 1364*i**3 - 964*i**2 - 32. Let t(w) = -8*b(w) - 5*v(w). Find the third derivative of t(n) wrt n.\nAnswer: 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + n**2 - 3. Let p be i(-3). Calculate the common denominator of -83\/8 and 18\/p*4\/1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-20)*60\/(-9). Let h(s) be the third derivative of -s**4\/24 - 11*s**3\/6 + 2*s**2. Let c be h(f). Is c equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -538894 and -538590 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7 + 1 = -3*r, -r = 4. Suppose 6 + f = 4*a. Find t such that 4*t - 2*t - a*t + t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1362 = 245519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f - 151858 = 7*f - 151280 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 880, -4, 5 in decreasing order.\nAnswer: 880, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 60. Let r be (6\/(-18))\/(3\/711). Let a = s - r. Solve 0 = n + 2, -4*t - a = -0*t + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12022600 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3528 and 3106404.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1542, -6129, -13774, -24477, -38238?\n\"Answer: -1529*s**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(sqrt(19) + 0) + sqrt(38)\/(sqrt(2) + sqrt(2)*-2*3 - sqrt(2)))**2.\nAnswer: -22*sqrt(19)\/3 + 2443\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*p + 9 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.374799 - -0.375. Round s to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 281?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -7*w**5\/60 - w**4\/8 - 7*w**3\/6 + 27*w**2. Let j(v) = 3*v**2 + v + 3. Let t = 6 - 8. Give t*l(m) - 5*j(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-6))\/(5\/(-15)). What is the common denominator of 1\/(x\/(-158)) - 2 and ((-3)\/(-66))\/(1\/(-30))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1216*-22\nAnswer: 26752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, 0.2, -4, -5.\nAnswer: -5, -4, -1\/2, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 2, b: 14}. Give prob of sequence ss.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2\/a**0)\/(a**(-1)*a*a)**7)\/((a**1\/a)**(50\/3))**(-2\/33) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (437 + 1731*y - 3453*y + 601 + 1708*y)*(-4 + 3 - 3) to the form u + r*y and give u.\nAnswer: -4152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -57?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - 112. Which is the closest to 0.22? (a) k (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 35\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6527 + 11.449.\nAnswer: 6538.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3544 (base 14) to base 4\nAnswer: -2100320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2119 - (4 - (5 - 6)). Suppose 0 = 2*v - 1364 - f. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k + 42. Let i(r) = 227*r + 229*r - 13 - 3*r**2 - 440*r + 2*r**2. What is the tens digit of i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-2\/29)*t**1\/t**4)\/((t**(-1\/6)*t*t**(-1\/5)*t)\/(t**(1\/4)\/(t\/(t*t*t*t*(t**(-5)*t)\/t*t*t)))) assuming t is positive.\nAnswer: t**(-7507\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*((-5)\/(-16))\/((-120)\/32)*636\/14.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**5 - 703524*s**4 - 30940808876*s**3 - 587677693276*s**2 - 2474125098720*s + 3092744304400 = 0.\nAnswer: -87931, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*s - 29, 9*g = 6*g - 45 + 54 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4*-2*sqrt(88) + sqrt(88))\/(sqrt(8)*-1*2))**2*-2.\nAnswer: -533\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 - 4*w**2.\nAnswer: 2*w**2*(w - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 16*o**2 - 16*o + 19. Calculate y(16).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -675.9 rounded to the nearest ten?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l**2. Let p be g(3). Let a = -4 + -3. Let r = 11 + a. Solve 0 = -5*h + p - r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 3650.9?\nAnswer: -1058.761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888.9556 nanograms to kilograms.\nAnswer: 0.0000000008889556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 - -89. Suppose -3*t + 34 = 4*h - 0*t, 3*h + p*t = 29. What is the greatest common divisor of h and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)\/(w\/(w*(w*w**(-2\/3))\/w)))\/(w**1\/w)**(-15\/8)*w\/w**(-1\/3)*w**4*w*(w**(-1))**33 assuming w is positive.\nAnswer: w**(-161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 790, 1188?\nAnswer: 1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158049730 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807 = 107*i + 309 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 21*x - 9. Let l be k(10). Let r be 6*8*(l - 1\/3). Solve 8 = -2*v - 0*v, 0 = 5*s + 3*v + r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46*1 + (5 - 4 - 2). Let p be -1 - -2 - (-1 - 3). What is the highest common divisor of p and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 + -8?\nAnswer: -8.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvhqwhifiqi. Give prob of picking 1 f and 2 v.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d - 469 = 584 + 123. Solve 0 = y + 1, 4*v - d*y + 1 = -19*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 14*j - 5873004 = n, -3523792 = 3*j - 2*n. Round j to the nearest 10000.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/30 + u**4\/4 + u**3\/2 - 6*u**2. Let z(r) = -2*r. Let y be z(2). What are the prime factors of l(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 4*c - 14, -4*c = 3*j - 41. Suppose 3*o = -b + j, -4*o + 18 = b + b. Is o\/4 - (3 + 444\/(-8)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84598600 to the nearest one million.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -747\/5. Which is the nearest to 0? (a) -2 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:06 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11615*p**2 + 11 + 11580*p**2 - 8 - 2.\nAnswer: -35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000058588 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g = -193*g + 6462720. What is the highest common factor of g and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394489.3ug to nanograms.\nAnswer: 394489300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 - 220. What is the third biggest value in 1\/2, x, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from ukkktuk.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 6034 + 6034. Let f(x) = 37*x - 6. Let i(l) = -36*l + 5. Let y(c) = 5*f(c) + 6*i(c). Give a(y(j)).\nAnswer: 62*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 7 - 15. Calculate the remainder when 18 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -24 - (3 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y + 23 = -c, 0 = 2*c - 2. Let h be (y\/108)\/((-1)\/9). Suppose -12647482 - 552518 = -h*p. Round p to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48097988.\nAnswer: 2, 31, 337, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.5, 0, -3, -8\/15, -57?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (-2)\/2 + -1 + -3. Let x = -61 + 69. Put -5, c, -3, x in descending order.\nAnswer: x, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h\/((h\/(h**(-3)\/h)*h)\/h*h)))\/h)**(-23) assuming h is positive.\nAnswer: h**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/(o*(o*o**(1\/6))\/o))\/(o**(3\/2)\/o**(2\/7)) assuming o is positive.\nAnswer: o**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)\/l*l**0\/l)\/(l**(-3\/2)*l**(2\/11))*l**(3\/5)*l*l**(2\/5)*((l**(-1\/3)\/l*l)\/l)\/l*l**(-7) assuming l is positive.\nAnswer: l**(-2513\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 - -20 - 7 - (32 + -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from qooqoooqooqqoooo.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {i: 1, o: 4, d: 4, n: 1, x: 1, z: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676700 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/3 + 73*m**4\/6 - 84*m**3 + 313*m**2 - m. Suppose o(d) = 0. Calculate d.\nAnswer: 2, 63\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*d - 19, 3*q + 5*d - 62 = 65. Solve -q*t = t - 70 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3827.9 + 3828. Which is the second biggest value? (a) 0 (b) -3\/11 (c) 0.8 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2. Let u(t) = -7*t + 3*t + 3*t. Let s(p) be the third derivative of p**4\/12 + 2*p**2 + 11*p. Let m(x) = 3*s(x) + 7*u(x). Calculate m(v(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113602.394 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 516 = -3*a. Suppose s - 3*m = -3*s + 183, 3*s - 5*m = a. What is the greatest common divisor of s and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4723228 is divided by 2361610.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1394883 and 0.0303.\nAnswer: -0.1091883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/5*116\/(-232)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 828900203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -36, -29?\n\"Answer: 7*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2398572 + -868572. Round t to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8968686 and 5.\nAnswer: 44843430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2. Let j(f) = -24877232*f. Determine r(j(a)).\nAnswer: 1856630015945472*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f - 1 = -33*f - 3*v, 2*v = 5*f - 16. Solve h + 2*d = 0, -26*h + 4*d - f = -29*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 6*d + 0*d - 2 + 2 - 4*d + 2 + d - 2 + (2*d - 3 + 3)*(-5 + 2 + 5) + (3*d + 2*d + 16*d)*(1 + 1 - 3) to y + m*d and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 7*l**2 - 8 + (-274 + 149*l**2 + 274)*((4 - 1 - 2)*(-2 - 1 + 1) + 5 + 4 - 2) in the form y*l**2 + v + d*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6695 and 28\/247585.\nAnswer: 25501255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 94\/(-8) - 3\/12. Let c be (-7120)\/q*18\/105. Let i = c - 102. Sort -22, i, -1 in decreasing order.\nAnswer: i, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5020 - 4836. Let v(x) = 7*x + 2. Let t be v(3). Calculate the greatest common factor of t and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 22. Let i be 24*4*(b\/(-16) + 2). Let k(t) = -2*t + 44. Is 40 a factor of k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422996179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -334139 and 0.027592.\nAnswer: -334138.972408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96713352 and 48356676.\nAnswer: 96713352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -1, 9 in descending order.\nAnswer: 9, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z)*(-1 - 3 + 2) + 2*z - 3*z + 0*z - 1 - 2 - 3 + 6 + 152358*z + 38205*z.\nAnswer: 190558*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*t + 2 - 0, 4*a - 2 = 3*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 500 by 125.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -22*p + 74. Let m(n) = 26*n - 73. Let h(v) = 7*a(v) + 6*m(v). Let y(k) be the third derivative of -k**4\/24 - 12*k**2 - 2*k. Calculate y(h(t)).\nAnswer: -2*t - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 13) + 52\/13. Let c = 0 - y. What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 449 - 75. Is 34 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1) + (2 - 2). Let f be k\/11 - (-1524)\/33. Calculate the highest common factor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19387937.\nAnswer: 173, 112069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/475 - 2388\/6175. Calculate the common denominator of h and -1 + (-3)\/((-7)\/(896\/(-120))).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14012*d - 13852. What is r(-1)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -107.76 in decreasing order.\nAnswer: -1, -2, -107.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45437603 is divided by 1469?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2107, 1855, 1603, 1351, 1099, 847?\n\"Answer: -252*o + 2359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/16*81\/(59535\/(-8260)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014096475 to seven decimal places.\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 103*s**4\/4 + s**3 - 8*s**2 - 79. Find the third derivative of m(q) wrt q.\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1857008 and 93\/2000.\nAnswer: 232126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 102. Let c be (12\/9)\/(16\/i). Let y be (c\/6)\/(4\/200). Solve 5*q = -0*q + y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 7*a**2 + a + 12. Let v be m(-7). Suppose 0 = -z - z + 3*x, 3*z - v*x = 0. Suppose 0 = -2*h - z*h + 216. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22852094 - -2?\nAnswer: -22852092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 4\/9 (c) 1543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 32*f - 78. Give r(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -42. Suppose 2*f = 8 + 2. Suppose 0 = 3*x - 2*x - d + 8, 0 = -3*x + f*d - 30. Put x, n, 2\/19 in descending order.\nAnswer: n, 2\/19, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*v = 7, -5*r - 2*v + 3*v = -11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*m - 77*m = 90*m - 3047947. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j*j**(-10))\/j)\/(j\/(j\/((j\/j**(3\/7))\/j)))*((j*j**(1\/5))\/j)**1 assuming j is positive.\nAnswer: j**(-258\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -34*s**4 - 8*s**5 - 2\/3*s**6 - 40*s - 74*s**2 + 12 - 208\/3*s**3. Factor k(i).\nAnswer: -4*(i + 1)**3*(i + 2)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -36*d**2 + d**5 - 3*d + 11*d + 20*d**3 + 36*d**4 - 29*d**5 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = -k - 2*d, 0 = k + 2*d. Solve 0 = 5*j + 12 - k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.0743?\nAnswer: 0.4743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*s + 357, 3*s + 210 = 6*s - 2*i. Suppose -993 = -3*v - s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnq when three letters picked without replacement from {q: 2, n: 5, o: 1, k: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -1\/2*q**3 + 0 + 1\/12*q**4 + q**2 - 1\/10*q**5 + 1\/120*q**6 + 0*q. Is c(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.227489 or 2\/5?\nAnswer: 0.227489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:17 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314550913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 451144911*w**3 - 1434799*w - 6.\nAnswer: 2706869466*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z = 30*z - 4*a + 45233, -3*z + 135644 = a. 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 next in -71, -259, -567, -995?\nAnswer: -1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {s: 7, w: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-2 + 1) - (23 + -23 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2728*j - 16325. Determine s(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:40 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/20 + a**2. Let q(d) = 37 + 182 - 29*d**2 - 219. Determine x(q(p)).\nAnswer: 2523*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35068.\nAnswer: 2, 11, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 - 6*t**2 + 5*t + 6. Let q(a) be the third derivative of -a**6\/30 - a**5\/12 + a**4\/6 + 5*a**3\/6 + 455*a**2. Determine 6*q(i) - 5*x(i).\nAnswer: i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j - 5. Solve 3*c = j*y + 7, -2*c + 5 - 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.4 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116944 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13455758?\nAnswer: 2, 6727879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-310)\/2*(10\/(-20)*52\/65)\/2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3526*n - 9. Let r(d) = -5291*d - 14. Give 8*j(c) - 5*r(c).\nAnswer: -1753*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3*2\/(-78)). Suppose 2*c = -d + 1. What is the remainder when (-8)\/(-84)*c*-7 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/((-686)\/(-24))*(-2)\/(-6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 1, a: 1}. What is prob of sequence ua?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954455 is divided by 1480.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**4\/12 + 14*c**3\/3 + 6*c**2. What is the remainder when 177\/9 - 16\/24 is divided by k(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqhhqhxhxxxhhxhxqx. Give prob of picking 2 h and 1 x.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from tuglctru.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/53172 and -74\/735.\nAnswer: 1861020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/4 and -73\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1109572 + -232745. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6775\/2710*3*(-3)\/(-45).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14981 divided by 1.\nAnswer: 14981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let a be r(-2). Suppose 4*g - 9*g + 5*c = -1125, a*c = 3*g - 674. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 290.659ug?\nAnswer: 0.000000290659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/(f*f**(-1\/10)\/f))**(-1\/4)*(f*f*f**(-3)*f**4)**(-25\/4) assuming f is positive.\nAnswer: f**(-741\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1375 - 1353. Solve -r*w - 63 = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10955326 to the power of 1\/2, to the nearest integer?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Suppose -5 = f - u*f. Suppose 4*z = -20, -2*z + 6*z = f*q - 60. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*v**3 + 7*v + v**2 + 50*v**3 - v**4 - 12 - 4*v + 14 in the form i*v**2 + y + d*v**3 + j*v + a*v**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.59 - 1.59. Which is the smallest value? (a) 1\/7 (b) z (c) -2\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6219.96 + -6220. What is the biggest value in 5, 34, -0.1, 4, q?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35119 - 7442. Suppose -n = -o + 6058. Let c = o - 66735. Round c to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231\/((58 - 63) + 26\/5)?\nAnswer: 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419 is divided by 349.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867542156 to the power of 1\/3, to the nearest integer?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + sqrt(2) + 5 + (5*sqrt(6)\/sqrt(3))**2 + (sqrt(32) - (sqrt(32) + 4 + sqrt(128)))**2.\nAnswer: 66*sqrt(2) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 15. Let s be (-4)\/w + (-2140)\/(-30). Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1875 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (12 - (1 + 3 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**3*z - 4*c**3 - 45*c**2*z + 2*z - 753 wrt c?\nAnswer: -12*c**2*z - 12*c**2 - 90*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 301 + -440. Let b = 140 + l. Sort -4, -2, b in descending order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1782 and 6138?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 4:08 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Suppose 10 = -v*x, 2*q - 4*x = -8 + 28. Suppose p = -7*d + 4*d + 8, -d = -p. Solve q*j + 2 = -p*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*w = 51*w + 133*w + 4628 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2. Let s(l) = 11*l + 9. Give s(u(o)).\nAnswer: 22*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2334*u - 2332*u - 2, u - 3 = -f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 740460 and 18060?\nAnswer: 740460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392779?\nAnswer: 3, 797593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 27*w**2 - 2. Let x(m) = -325*m**2 + 45*m - 25*m - 9*m + 25 - 11*m. Give -25*b(d) - 2*x(d).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58652939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55640)\/20865*390\/(-16)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4236\/7 + -601. Calculate the common denominator of -1 + 45\/84 + (-3)\/2 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = k + 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1945.35 + -1217.86. Round m to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(684) - 2*sqrt(684)))\/(sqrt(12) + (sqrt(1200) - 2*sqrt(1200)) + sqrt(12)))\/(sqrt(147)*1 - sqrt(189)\/sqrt(7)))**2.\nAnswer: 475\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4832*n - 2784?\nAnswer: 4832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -2\/7 (c) 0.5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -20*b - 31. What is the biggest value in b, -5, -0.1, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -7 (c) -2 (d) 6 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/30*(-3)\/(-2). Let d = -57 - -57. What is the second biggest value in d, n, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-48)\/15))\/((-41)\/(-164))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 838 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 12:49 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24635720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1694623, -1694620, -1694617?\nAnswer: -1694614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 1 + 3 + 3)*(-14*x**3 - 2*x**3 - 16*x**3) to the form k + z*x**3 + b*x**2 + l*x and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x + 8. Let o(i) = -456*i**2. What is o(b(w))?\nAnswer: -4104*w**2 - 21888*w - 29184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10001101100011?\nAnswer: -10001101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 6*w**2 + 3. Let t be a(6). Let o be (2 - 3)*0\/t. Solve 4*v + 12 = -o*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 35 = -5*s, s - 11 = 4*s + 4*c. Solve -4*y = -s*d + 8, -y + 4*d - 20 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 3}. What is prob of sequence dd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47127*z**2 + 47116*z**2 - 94250*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 + (8\/(-42))\/(7\/651).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 0*x - 632\/3*x**3 - 199 + 0*x**2. Let t(h) = h. Give t(o(b)).\nAnswer: -632*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1189 + 1691. Suppose -102 = 8*m - n. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.004 + -0.004. Is d <= 0.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -100. Let o = 40.932 + q. What is o rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 + 16. Let j(k) = -14545*k**3 + 26*k**2 + 61*k - 96. Let b(z) = j(z) + 6*l(z). Find the third derivative of b(f) wrt f.\nAnswer: -87378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 14. Let w(s) = -26*s**2 - 209*s + 42. Give -w(y) - 3*z(y).\nAnswer: 26*y**2 + 212*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -157.\nAnswer: 12\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/((-13328)\/(-64)))\/(2992\/(-119)).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -6. Sort -2\/13, -3\/8, l in decreasing order.\nAnswer: l, -2\/13, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 7:17 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923859142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -20131220 to the nearest ten thousand.\nAnswer: -20130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 7:34 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -2, -1.4, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 4*n**2 + n - 4. Let t(k) be the first derivative of k**2\/2 + k + 2. Let p(x) = q(x) + 3*t(x). What is p(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10849 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 - 403 = 5*x - 5*i, 0 = 2*x + i + 18. What is the third smallest value in x, -5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3. Let a = -154.4 + 151.4. What is the smallest value in a, 0, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853315126?\nAnswer: 2, 3499, 121937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 18*s**3 + 8*s**2.\nAnswer: 2*s**2*(s - 4)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*y + 76*y - 3609199 = -3619919 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 13390.\nAnswer: 40170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -53.7. Which is bigger: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 996.467 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + -2 - -3) + 0. Let r be (2 + u + 2)\/(-2). Let m(x) = x**3 - x**2 - 1. Determine m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/7)\/(2\/14). Suppose -m + 2*w - 3*w = 2, -4*m + 2*w + 4 = 0. Suppose -3*b + 5*c + 96 = m, p = 2*b + c - 3*c. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14352, 28845, 43466, 58215, 73092, 88097?\nAnswer: 103230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 1. Let w be h(1). Suppose 0 = 2*q - 4*q - w. What is the units digit of 10\/5*(-13)\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m - 12. Let p be w(-8). Let z be 7*(2 - 6)\/16*-48. What is the greatest common factor of p and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 180*o**3 - 4*o**2 + o - 1. Let p be c(-3). What is p rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6 + (-39)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7662487720.0000849 + 7662488814. Let m = -1101.59 - -7.59. Let i = f + m. What is i rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 392074320 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 10 - 14 + 3 - 6*h in the form s*h**2 + d + i*h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y. Let z = -5 + y. Let t = -127 + 127. Sort t, z, 4 in descending order.\nAnswer: 4, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 176*a - 883. Let l be i(5). Suppose 0 = h - 3*n + 14, -3*h + 18 = -4*h + 4*n. Sort 2\/11, l, 2\/7, h.\nAnswer: l, h, 2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1518*s**3 - 929*s**3 + 1468*s**3)*(s**2 + 3*s**2 - 3*s**2).\nAnswer: -979*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 3*a - 6. Let y be z(-2). Let p = -2 - -1.5. Put y, 0.05, p in decreasing order.\nAnswer: 0.05, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 25 = 14. Let p(v) = v**3 + v**2 - v + 2. Let y be p(-2). What is the remainder when 24 is divided by k + 0\/1 + y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r\/r**(-18\/5)*r)\/r)*r*r\/(r\/r**(1\/4)))**(5\/13) assuming r is positive.\nAnswer: r**(-67\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451349195.\nAnswer: 5, 11, 457, 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-9)\/(-2)) + ((-1610)\/28 - -52).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.27572\nAnswer: -1.10288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 14 - -7 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 - 103772*i**4 - 14501592*i**3.\nAnswer: 4*i**3*(i - 26082)*(i + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 11*f - 18. Let b(d) = -d**2 - 6*d - 9. Let n(x) = 5*b(x) - 2*m(x). Suppose 113*w - 156*w - 344 = 0. Give n(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 4*z**3 - 2*z**3 - 6*z**2 + 9*z - 7 - z**3. Let i be t(-8). Let s be (-3)\/1 + i\/17. Which is the nearest to 2\/7? (a) 1\/4 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101678936635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -43 - (3 - 0). Suppose 3*a = 4*f - 27, 0 = -a - 3 - 2. Suppose f*u = 4*u. Solve -2*v - 5*k - 15 + h = 0, u = 4*k - 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/90 + c**5\/30 - 26*c**3 + 84*c**2. Let a(i) be the first derivative of k(i). Calculate a(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-17 - -11 - -24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let p be (7 - 1)\/(3 - -1). Which is the nearest to -1? (a) i (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 2*h + 1. Suppose 11*m + 8 = 13*m. Suppose -3*f - 10 = -m. Give o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*f + 15*f - 4600 = 101*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81.68*-0.2.\nAnswer: -16.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -9*x - 201. What is x rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2616621 is divided by 113766.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -25*q**7\/42 - 13*q**6\/6 - 9*q**5\/4 + 5*q**4\/12 + 5*q**3\/3 - 220*q. Let d(i) = 0. What is i?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -549*m**2 + 2492*m**3 + 9 + 269*m**2 + 309*m**2 + 979*m**3 wrt m?\nAnswer: 20826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2000\/1491 + -79971893\/14910. Let r(x) = -45*x**2 + 8*x + 6. Let t be r(11). Let f = t - n. What is the common denominator of f and 53\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 5490516168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 450*o**3 - 2760*o**2 + 362*o - 12.\nAnswer: 2*(o - 6)*(15*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1503902*w + 1447130.\nAnswer: 1503902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-11129)\/930 - -12).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252996 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*p + 964 = 0, -h + 152 + 28 = 4*p. Suppose 3*n - h = -5*v + 180, n + 2*v - 125 = 0. Let l = n + 1. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340084356?\nAnswer: 2, 3, 1873, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89764285 a multiple of 1495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) -2\/11 (b) -3\/29 (c) 105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 33, 107, 211?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1497 and 303878525?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from ffffyffffyfyyyff.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 + 45 = 0. Let z be (r\/15)\/((-4)\/20)*-1. Let -2*o**4 + 608 - z*o**2 - 608 - 7*o**3 + o**4 + 16*o = 0. Calculate o.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153 - 79 - 43 - 4602*r**3 - 1136*r**2 - 31 - 3*r wrt r.\nAnswer: -27612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3689*g + 1721*g - 88560 = 0 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2687415 * 2\nAnswer: -5374830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -b8043?\nAnswer: b8048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w - 6684 = -6948 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/18 + 11 + 160\/(-15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 271*m**3 - 22*m**2 - 11*m - 11. Let l(q) = -90*q**3 + 8*q**2 + 4*q + 4. Determine 11*l(x) + 4*p(x).\nAnswer: 94*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 157.618129 to one decimal place.\nAnswer: 157.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1979*k - 44 = -1977*k - 5*m, 2*m + 330 = -15*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -4\/3, -779, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-20))\/(1*((-10)\/5)\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, -21, -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Let z be 2 + (0 + 21)*10. Suppose 0 = -t*h + h + z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1883 equal to -1881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuokookhuuuukkook. Give prob of sequence ooh.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (91 - -1) - -1. Let b be 10 - 3784\/(-55) - 8\/10. Suppose b*p = 80*p - 62. Calculate the highest common factor of p and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-3) - -3)\/(1289\/(-3867))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**3 - 9*q**3 + 4068*q - 4069*q. Calculate z(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 6*u. Let w be m(5). Let x = -73 + 87. Suppose 12*f**w + 6*f**3 - x*f**5 - 2*f - 2*f**3 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*w + 189 - 360 = -159, -4*h = w + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 2*r + 13. Let s(g) = 5*g**2 - 3*g + 14. Let l(o) = -7*q(o) + 6*s(o). Let z be l(4). Differentiate z*h - 4 - 3*h**2 - 9*h with respect to h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/1723920 and 61\/6530?\nAnswer: 1723920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -13, -94, -251, -508?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -958 = -8*a + 1306. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 10 = -2*k, -2*v - 2*k + 6*k + 28 = 0. Suppose 0 = -3*x + x. Suppose -2*t + v*t - 16 = x. What is the smallest common multiple of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3182 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2 + 9 = -4*i, 3*u = 2*i + 5. Suppose z - i*z - 2 = 0. Let y be 1*1\/(-2)*z. Calculate the greatest common divisor of 5 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**8\/840 + j**6\/90 - j**4\/12 + j**3\/6 - 10*j. Let g(a) be the second derivative of p(a). Determine d so that g(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbtbtbfbbbobtboo. What is prob of picking 1 f and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13706536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8546*f*l**3 - 2*f*l**2 + f*l + 73*l**2 + 3*l wrt l.\nAnswer: -51276*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*t - 0*t. Suppose -2*h + 6 = 3*q, 2*q = h - 2*q - 3. Solve -h*r + t = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*w**5 + 44*w**2 + 16*w**6 + 16*w**5 + 0*w**6 wrt w.\nAnswer: 1920*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/((-2)\/(-12)). Let p = 13 - d. Factor 0*b**5 + 2*b - 4*b**p + 0*b**2 - 2*b**5 + 4*b**2.\nAnswer: -2*b*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29251354441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (44 - 28) - -12.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -263, 1 in decreasing order.\nAnswer: 11, 1, 0, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-33))\/((-1)\/1618). Let x = c + 8443\/66. Find the common denominator of x and 3245\/250 - (348 + -337).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x + 4. Suppose 5*d = -4*v + 26 + 15, -v = -2*d + 6. Give i(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3618080986 to the nearest integer?\nAnswer: 60150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + sqrt(63)*5).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y + 0*y + y)*(y**2 + 0*y**2 - 3*y**2) + 477 - 18*y**3 - 477)*(2 + 2 - 2) + 105 + 0*y**3 - y**3 - 112.\nAnswer: -33*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 5. Let p = 15 - k. Let o = p + -5. Which is greater: o or -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 2, -11*y = -9*s - 20371 + 20639 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1246 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3 + 6*l + 4 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5448059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:50 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a + 4603 + 10727 = 59*a. Solve -a + 406 = 4*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0963 rounded to three decimal places?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128793740*k**4 - 45355649*k.\nAnswer: -1545524880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 71 - 64 = -2*w, -r + w + 1 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758*u + 102*u - 2861 = 16917 + 10322 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 42*c - 35*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 17268*a**2 + 1853*a**2 - 3300*a**2.\nAnswer: -18715*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-142)\/((-26980)\/6175)*8\/(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41365081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104193*v**2 + 484*v + 39 wrt v?\nAnswer: -208386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21225 + -976. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 20*c**3 - 12.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 1 - 1\/1. Suppose i - 1 - s = 0. Solve 2*u - 11 = i*k + 3, 6 = 4*k + 2*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 6. Suppose -3*x - 8 = -n*x. Suppose x*w + 5204 = -h - h, -5*h - 13008 = 4*w. What is h rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/15)\/(2\/40). Let d = l + 16. Find the third derivative of -15*r**6 - 11*r**6 + d*r**6 - 7*r**6 + 5*r**2 wrt r.\nAnswer: -3000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + 2 - -2) + (956 - 943) + 22\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 1. Let r be d(-1). Let g(b) = b**3 - 3*b**2 - b + 2. Let y be g(3). Let p = y - -3. Solve 3*o + r*a = 4, -o + 3 = p*a - 3*a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 2\/59, -4, 2\/55, -2 in descending order.\nAnswer: 2, 2\/55, 2\/59, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o**5 + 160*o**4 - 3790*o**3 + 11160*o**2 + 10495*o - 4600 = 0.\nAnswer: -23, -1, 1\/3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -45, -62, -95, -150, -233, -350, -507?\n\"Answer: -k**3 + k**2 - 3*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2388.\nAnswer: 11940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 5*c + 74 = 0, 5*z = -2*c + 144. Suppose -d + z = d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 4*o**2 - 4*o + 3. Let q be p(2). Let l(v) = 2*v**3 - 7*v**2 - 8*v + 11. Let g be l(4). Sort q, g, 4 in decreasing order.\nAnswer: 4, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895924 is divided by 3524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -11 - (-26 - (-24 + 25))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a18a5743 + -1?\nAnswer: a18a5742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 6.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 divided by -226602?\nAnswer: -395\/113301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 6*u - 15. Let a be o(-5). Suppose 5 = -4*z - a*g, 0 = -3*z - 0*z + 3*g + 3. Solve w = -z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*s**2 + 75*s**2 - 72*s**2 - 72*s**2.\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.63733, -1, -2, 3\/5, -0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15194737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, g: 5, i: 4}. What is prob of picking 4 e?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29918159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 17*l + 684 = 179*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 5:54 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - -240?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/9)\/((-1)\/3). Let g(d) = d**3 - 1. Give g(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449905850 divided by 89981170.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12\/171 + 62223980\/707655\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 16717?\nAnswer: -16720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0608219622 rounded to 6 decimal places?\nAnswer: 0.060822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**3 + 30*m**3 + 36*m**3 + 3*m**3.\nAnswer: 42*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(-30)*4\/532. Let k = s + 55\/228. Which is the closest to 0? (a) 4 (b) k (c) -5 (d) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1860)\/868 + 12\/(-63)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ae (base 15) to base 5.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 10*u - 10. What is t(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (44 - (-1 - -5) - 18) + -73\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*l**2 + 47*l + 180*l - 3*l**3 + 37*l**2 - 59*l.\nAnswer: -3*l*(l - 28)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -2\/67, -6, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165260, 165263, 165266, 165269?\nAnswer: 165272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 48035 = -4*t + 6744, 0 = -5*t + 3*f + 68473. Is 167 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45118.51g to tonnes.\nAnswer: 0.04511851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 - 2. Let i be u(-2). Suppose 3*h + 0*g - 120 = -4*g, -i*h - 2*g = -80. Suppose 0 = 2*m - 6*m + h. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69008 - -69009. Let n(l) = -l**3 - 6*l**2 - 5*l + 4. Let r be n(-5). Which is the nearest to -1? (a) -8 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxjx when four letters picked without replacement from jjjsxjjxjjsxjjjbjjx?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 24*t - 141. Let i be o(-11). Solve f = -l - 1, -3*l + i = -2*f - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -76*v**2 + 1\/24*v**4 + 0 + 0*v**3 + v. Suppose s - 5*d - 11 = 0, -3*s = -5*d - 8 - 5. Calculate i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767.393 plus -5.1?\nAnswer: 762.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u + 41*u**2 - 100*u - 102*u**2 - 111*u**2.\nAnswer: -172*u**2 - 61*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 833386.3cm in micrometers?\nAnswer: 8333863000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148791800.\nAnswer: 2, 5, 37, 20107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f*i**3*o**5 - 2*f*i**2*o + 115*f*o**5 + 254*i**3*o - i**2*o wrt o?\nAnswer: 140*f*i**3*o**3 + 2300*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + i - i + (-44*i - 26 + 26)*(7 - 7 - 2*i**2) - 2*i**3 + 3*i**3 - 6*i**3.\nAnswer: 82*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 169421203 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 12*g. Let l be f(12). Solve -7*m + 9*m = l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -16. Let x(h) = h + 4. Let s be x(-4). Suppose -a*j + 56 = -s*j. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, -5, -0.04, -2 in ascending order.\nAnswer: -5, -2, -0.04, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:15 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 204?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*s**4 - 2*s**3*u + 61996*s**2*u wrt s.\nAnswer: 2520*s - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 7 - 32*o**2 + 851*o - 847*o as a + f*o + x*o**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4670 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 54.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Let y = -89 - -91. Suppose -y*m + 3*m - n = -j, -2*j = 5*m - 21. Are j and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**4 - 2*r**3 - 5*r**2. Suppose h = 5*u - 0*h - 14, 2*h = u - 1. Let m(y) = 5*y**4 - 3*y**3 - 6*y**2. Let q(z) = u*m(z) - 4*l(z). Solve q(f) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11072*x**2 + 5536*x**2 + 5538*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 - -94. List the prime factors of s.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r - 7. Let w(g) = 2*g**2 - 7*g. Let k be w(4). Suppose 0 = -5*f - o + 2*o + 23, f + 8 = -k*o. What is the remainder when p(f) is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 479, 478, 477, 476, 475?\n\"Answer: -l + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*j = -16, -14*j = -3*d - 17*j. Let c(s) = -15*s - 6. Give c(d).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*k + z - 3, 4*z = -k + 3. Let b be (-3 + (-1)\/(4\/(-11)))*k. Let 1\/4*w**2 + 1\/4*w - 1\/4*w**3 - b = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21387218.\nAnswer: 2, 10693609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2*k + 4. Let o be j(2). Suppose 1 = 4*v + 21, 0 = -z + 3*v + 74. Suppose o = -5*a + z. Calculate the greatest common factor of 44 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55736 (base 10) to base 9\nAnswer: -84408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2919, -5, 1 in descending order.\nAnswer: 1, -5, -2919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 5*z + 2. Let h be a(-12). Let v = -123 - h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/139216 and -131\/14238.\nAnswer: 1252944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85732651.00427 - 85733423. Let q = 772 + r. What is q rounded to four decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 14*g - 45. Solve -4*v - l = 5, -2*v - l - g*l + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.2 + -9.312. Let n = 0.198 - i. Which is greater: n or 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = -5*x - 118. Let s = x - -774. Suppose -s = -8*p + 2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Suppose 0*t + 48 = q*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.79 and 5.7.\nAnswer: 50.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/6*2 - (-12 + 18 - 13). Factor -1\/7*z**3 - 9\/7*z - 6\/7*z**d - 4\/7.\nAnswer: -(z + 1)**2*(z + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -5, -34, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 - (-54 - (21 + -80)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -9. Is 1*((-3 - -6) + n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 10) to base 13\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -16*j - 144. Calculate f(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104211 (base 6) to base 3.\nAnswer: 102221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*c + 19, 0*u - 10 = -5*c + 4*u. Let n = -14 - -9. Let t(f) = -4*f + 4. Let i be t(n). Calculate the greatest common divisor of i and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 15*s - 45. What is j(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 8}. What is prob of sequence ww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 2:50 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 112*x + 2524. What is y(41)?\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -25*u**4\/6 + 2*u**2 + 3494*u. Let r(b) = -51*b. What is p(r(c))?\nAnswer: 5100*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6 - -7 - 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:09 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63909 - -324844\/5. Let d = t + -1054. Calculate the common denominator of d and 933\/(-90) + 2\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 16 = 4*o, -2*o + 11 = o - x. Suppose -q - 4 = q + o*a, -a - 5 = -q. Suppose -8*t + 341 = q*t. Calculate the remainder when t is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/i)\/i)**49*(i*i\/i**(-2\/7))**(-9) assuming i is positive.\nAnswer: i**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:47 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, j: 1, n: 1}. Give prob of sequence qjq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 25. Let p = v - 16. Let m = 2592 + -2588. Which is the second biggest value? (a) m (b) p (c) -0.5 (d) -2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064747 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307*z + 1293*z - 3917*z + 1320*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nauaall. Give prob of picking 1 u, 1 n, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 695223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r + 5*r = -260460. List the prime factors of r.\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.25, 239801, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1321 - -3401. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s**(2\/13)*(s*s**(-2\/21))**4)**(-1\/4) assuming s is positive.\nAnswer: s**(-1787\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -2, 7, 0 in decreasing order.\nAnswer: 7, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*80\/(-18400) - (-718)\/(-20).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3)*27\/(-6). Suppose -14*v + 95 - 123 = 0. Sort 1, v, l in ascending order.\nAnswer: v, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r - 2*r, 2*r = -5*i + 2535. Let k = i - 167. What is the greatest common factor of k and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((261\/(-6))\/29)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 401036 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6302*a**2 - 7 + 7 + 6349*a**2.\nAnswer: 12651*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1685005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, m: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 370, 640, 984, 1408?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13015 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -8, -50, -108, -182, -272?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11e5 + -128?\nAnswer: -131d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let u(x) = -14*x**2 + 2*x + 2. Let a = -60 + 61. Give a*u(i) - 10*l(i).\nAnswer: -4*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144627953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*l - 16 = 0, 3*c + 5*l = 6*l + 8. Suppose -16 = 4*r - c. Let x(b) = -b**2 - 3*b. Let a be x(r). Put a, -3, 1 in ascending order.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 40*q + 2. Let j be u(-40). Let n(i) be the first derivative of -i**3 + 0*i - 3\/2*i**j + 10. Find x such that n(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12846*m**2 + 375*m - 9.\nAnswer: -25692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -61, 0.5, -2460.84?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15528 divided by -8\nAnswer: -1941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 2458572298?\nAnswer: 2458572297.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 243492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/10*1 - (-110)\/(-25). Let o be (i\/(-3) + 1)*(-252)\/(-336). Solve -3*q - 16 = -3*c + o, 2*q = 5*c - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 699 - 9679\/14. What is the common denominator of g and -37\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = 1126*t - 1149*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33773522393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 220125 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7040\/6 - (-4)\/(-12). Suppose 11*p - i = 8*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/24 + (-155)\/6200?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/28*(-6215)\/678*(-8)\/(-22)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 9*d + 10. Let n be j(-7). Suppose -2*r + 2 = -4*k, 18 = -3*r - 3*k + 2*k. Sort -2, r, n.\nAnswer: r, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 + 102. Sort t, -1\/7, -4, 0 in increasing order.\nAnswer: -4, -1\/7, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*x - 40*x = 31*x - 7102. Solve -48*p + x*p = 2*t + 10, -5*t = p + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 2*r**2 - 21*r + 11. What are the prime factors of f(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, b: 6}. What is prob of picking 4 b?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/2019402 and 133\/142104.\nAnswer: 1542823128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5823285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56352 and 30126.\nAnswer: 282943392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 170\/127 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 1074*q**2 + 13023*q + 9661. Determine a(1086).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let o(k) = -7*k**2 + 381*k + 1. Determine o(h(g)).\nAnswer: -7*g**2 - 381*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5572687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16245 + 16245. Solve -9*l + 76 - 67 = u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, n: 1}. What is prob of sequence mw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2726\/(-235))\/((-8)\/32*(-56)\/35).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*(1 - 2))\/1. Suppose 4*d + 2 = -r - 14, -4*r - 19 = d. Let w = x - r. Solve 8 = -2*i - k, -3 = -w*i - 2*k - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by -2\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f + 32310 = 34021 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000287462 to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 172\/(-430) - (1 - (-204)\/(-10)). Let v(g) = 8*g - 145. Determine v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44152, -44175, -44212, -44269, -44352, -44467, -44620, -44817?\nAnswer: -45064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -74 (b) -4 (c) 31 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/4 - 14251*s**2 - 170999*s\/4 + 57001 = 0.\nAnswer: -57001, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 7. Let x(z) = -3*z - 3. Let b(q) = 3*q**2 + 3*q - 4. Let r be b(7). Let v = r + -166. Calculate v*w(m) + 5*x(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (10 + 10) - (2 + 3 + -39)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -11*s**2 + 66*s - 96. Let v be p(-12). What is the greatest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 42 = c + 9, 2*c + d = 69. Suppose 17*q - c = 10*q. Solve q*j - 49 = -34 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(1008) + (-1*2*sqrt(1008))**2.\nAnswer: 24*sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-1\/50)*s\/s**(-28) assuming s is positive.\nAnswer: s**(1501\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 36. What is the common denominator of 17\/(-18) + -2 - -1 and 27\/j*(-9)\/2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23470 at most -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a kilogram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 290*f + 10512.\nAnswer: 2*(f + 72)*(f + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12010 and -26\/25?\nAnswer: 60050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5093, 5780, 6467, 7154, 7841, 8528?\nAnswer: 9215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/7)*w*w)**(-7\/3)*(w*w**8)\/(w*w**(-8)))**(-34) assuming w is positive.\nAnswer: w**(-850\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 3*m**5\/40 - 15*m**4\/32 - 5*m**3\/4 + 15*m**2 - 36*m + 4113. Find n, given that z(n) = 0.\nAnswer: -4, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -v - 2*b + 49, -5*v = 5*b - 420. What is the highest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxoxxxuoxouuuxxxxxo. What is prob of sequence oo?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1.42.\nAnswer: 0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14295989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 3*q - 120. Let a(g) = -3*g**2 + 2*g + 118. What is 3*a(p) + 2*m(p)?\nAnswer: -p**2 + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15331, 30720, 46107, 61492, 76875, 92256, 107635?\nAnswer: 123012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 111111110200 (base 3) to base 9\nAnswer: 444420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -1\/4 (b) 2\/7 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28982*d = -2*b + 28986*d - 2, -2*b - 5*d + 7 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -3*y - 37, 3*u + 2*y = -y - 23 - 7 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i + 1. Let w(f) = 10*f. Let v be w(-2). Let t = v - -46. What is the remainder when t is divided by y(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w. Suppose 2*f = -f + 9. Let t(j) = 0*j + 2*j + f*j - 6*j + 6. Determine t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(1\/2)\/b)**(-24\/5))**(-3))**(-14\/3))**(1\/11) assuming b is positive.\nAnswer: b**(168\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27243 + -27244. Suppose k + 105 = -4*k. Which is the closest to k? (a) l (b) -2\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1454 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*r**2 + 11*r**3 + 375*r**2.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 10) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 43770*p**3 + 4*p**2 - 4*p**2 - 2*p**4 - 2 - 43786*p**3 to the form t*p**2 + f*p**3 + d*p + r + v*p**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**3 - 3*w**2 - 4*w + 6. What is b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -7*z**6\/2 + 11*z**5\/2 - z**3\/3 + 1186*z**2. What is the third derivative of b(x) wrt x?\nAnswer: -2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a day?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*p**2 + 60*p**2 + 5383*p**3.\nAnswer: 5383*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 26\/30) + (-42067)\/74865?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a = 80. Let v = -76 - a. Solve -v = -q - q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -217 + -2f9?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -384671 or -384663?\nAnswer: -384663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12308 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1\/3, 4\/23, 2, 4\/3 in decreasing order.\nAnswer: 2, 4\/3, 1\/3, 4\/23, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 6*j + 8. Let m(a) = -a**2 + 1. Let w(v) = d(v) - 4*m(v). What is the units digit of w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*x + 122*x - 12 = 0, -3*x = 5*r - 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.004 + -3.73. What is n rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 + 166. Suppose 3*y + w*y - 64 = -2*l, 192 = 4*l - 6*y. Which is smaller: l or 44?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + l - l + (l - 4*l + l)*(l + 3*l - 2*l) - 8*l**2 + 5*l**2 - 7*l**2 to the form r + v*l**2 + a*l and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p**2)*(-2*p - p + 2*p) + (104*p - 7*p - 23*p)*(0*p**2 - 2*p**2 + p**2).\nAnswer: -72*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -3.\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*z + 16 - 35. Solve 7 = 5*p - a, -z*p - 6*a - 8 = -a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**4 + 0 + 4*y**5 - 2 + 3*y**4. Let j(l) = -5*l**5 - l**4 + l**3 + 3. Let k(m) = -2*j(m) - 3*u(m). Factor k(w).\nAnswer: -2*w**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v - v + 5*v + (-3 + 5 + 0)*(-3 + 11*v + 3) + (7*v - 3*v - 2*v)*(3 - 4 + 0) - 3*v + 4*v - 2*v in the form p*v + w and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 116700000 rounded to the nearest 1000000?\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34467791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/17*8378722\/17193.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*g + 0*g = -1902, g = -4*t + 7533. Suppose t = 2*w + 4*o, 893 + 1954 = 3*w - 2*o. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -7 - 203*7\/(-196). Determine m so that 1\/4*m**3 + 0*m + 0 + 1\/4*m**4 - f*m**5 - 1\/4*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {k: 1, d: 1, h: 1, w: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-604)\/755*((-165)\/(-198))\/((-43)\/3).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(204))\/sqrt(3))**2*-4.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:46 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -15, 5, -5 in decreasing order.\nAnswer: 5, 3, 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488724?\nAnswer: 2, 3, 139, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**8\/1008 + m**7\/126 - m**6\/72 - m**5\/36 + m**4\/12 + 244*m**2. Find x such that n(x) = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = -162. Suppose -s = -v + 4. Let k = -2 + v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 49*t**6\/30 - 217*t**5\/15 - 68*t**4\/3 - 40*t**3\/3 + 12*t**2. Determine b so that g(b) = 0.\nAnswer: -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276.9085 seconds to milliseconds.\nAnswer: 276908.5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601429?\nAnswer: 41, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwww. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (100*l + 1626 - 1639 - 74*l + 118*l)*(-6*l + 6*l + 7*l) as q + r*l**2 + x*l and give r.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1300))*2.\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101\/5 - -359\/20. What is the common denominator of -91\/80 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**6\/30 + s**2\/2 + 9*s - 2. Let t(p) be the first derivative of d(p). What is the first derivative of t(g) wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 11*k**2 + 51*k - 465. Suppose 1 = 5*y - 14. Calculate the smallest common multiple of y and b(11).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -81*o**3 - 5*o**2 - 2*o - 5. Let k(m) = -81*m**3 - 4*m**2 - m - 4. Calculate 4*h(g) - 5*k(g).\nAnswer: 81*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 10. Let l be d(7). Suppose 0 = -3*v + 2*n + 6, 0*n + 6 = 3*v + n. Sort l, v, -5.\nAnswer: -5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 59 = 6*k, -5158*k = -5154*k + f - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*f + 2 + 12 = 0, 4 = l + 3*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 17\/4460 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 1.8. Let z = 27 + -25.9. Let v = z - 1.2. What is the second biggest value in t, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546397114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27989*i - 12488*i - 13398*i.\nAnswer: 2103*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u - 187*u + 76*u + 24 - 5 + 46*u + 45*u.\nAnswer: -7*u + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 625.3 - 624.3. Let p = 76 - 39. What is the second biggest value in -2, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334 a factor of 524852292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 56*w - 624. Suppose -7*z = -8*z + 170. What is the least common multiple of z and b(-40)?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181337537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -29*t**2 + 222*t - 225. Let p(n) = -51*n**2 + 445*n - 450. Let m(u) = -7*c(u) + 4*p(u). Factor m(g).\nAnswer: -(g - 225)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8450942 centimeters in nanometers?\nAnswer: 8450942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2773 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-35) - 1198\/(-14). Suppose 2*d + f = 89. Suppose 3 - 17 = t. Put d, t, 5 in increasing order.\nAnswer: t, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -3*h**4\/8 + 8*h**3\/3 + 44*h**2 - 11*h - 2. What is j(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*79)\/((-1286)\/(-64) - 20). Calculate the highest common factor of 79 and b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knkakklkkakkkkk. Give prob of sequence aank.\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-15*14\/525)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 323?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = 1. Let r = 2 - m. Let p(h) = h - 8. Calculate p(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.3808mm in meters?\nAnswer: 0.5973808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 6*f + 4. Suppose 0 = -5*d + j + 3, -d - 7 = -397*j + 393*j. Let a(o) = -o**2 + o. Determine d*z(l) + 4*a(l).\nAnswer: -5*l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26393635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8441*q + 1916107. Give i(227).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. What is the remainder when 15 is divided by z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in -8\/65, -12, -3?\nAnswer: -8\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*5\/(-70))\/(6\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + (28 - 40) + -91?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**2\/5 + 3*r + 21\/5.\nAnswer: -3*(r + 1)*(2*r - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(847) - -4*(sqrt(847)*-1 - sqrt(847))))**2 + -1.\nAnswer: 2241161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -3, -465, 2, 8, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457352.\nAnswer: 2, 7, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*h**3 - 39*h**3 - 5*h**3.\nAnswer: -135*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -327 + 338. What is the remainder when u is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -2\/9, 29.08, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -116, -188, -278, -392, -536, -716?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1678255347 rounded to three decimal places?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 25*j - 506. What is g(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from {m: 13, z: 5}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 2:59 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*y + 16416 = 126*y. Does 80 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3381 = 22*u - 2779. Is u a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30626 - 5711. What are the prime factors of w?\nAnswer: 3, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 8 - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4220 and 14.\nAnswer: 29540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lulljglgljrl. What is prob of picking 2 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.42, 16\/25, -0.3, 1\/2?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2 + 4*t + 5. Suppose -2*j - m = m, -4*j + 5*m + 27 = 0. Suppose n + j = -2. What are the prime factors of o(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33440\/275)\/(-76)*6\/(-8).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 924616600*s**3*y + 5153*s**2 + 502*s*y - 2*y - 1 wrt s.\nAnswer: 5547699600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/53 in -159, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4890169 to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7354429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 8. Let y be i(6). Suppose w - 3 = 1. Suppose x - 149 = -2*x - j, -2*x - w*j = -116. What is the greatest common factor of x and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0 - 4) + 13. Calculate the remainder when 48 is divided by 0\/(-2) + 3 + a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 2*z**2 + 12*z + 5. Calculate j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 w when three letters picked without replacement from {j: 1, d: 7, e: 1, w: 1, z: 10}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*f - 81*f - 960 = 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + (1 + sqrt(720))*6 + -3)**2.\nAnswer: 288*sqrt(5) + 25919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 518 - 225. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1016)\/(-28) + 4\/14*-1. Suppose 4 + v = 5*d. What is the remainder when (-12)\/(-78) - (-1415)\/13 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 + 8*s**3 - 5*s**3 + (0 - 1 + 2)*(-5*s**3 + 2*s**3 + s**3) + 2*s**3 - 5*s**3 + 0*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 187617 + 61?\nAnswer: 187678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4349*q + 5*g - 16 = -4346*q, -2*g = 3*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minus -1864241?\nAnswer: 1864869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -912, 72, -245?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -1087*l**7\/210 - l**5\/60 - 265*l**3\/3 + l**2 + 175. Find the third derivative of g(b) wrt b.\nAnswer: -26088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fflz. What is prob of sequence zlff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 1}. Give prob of picking 1 g and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24d03 - -5?\nAnswer: -24cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = 0. Let p be 2 - (-27)\/(-15) - (-2813)\/485. Suppose p*m - 276 = -w*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-242)\/60 + 1 + 3\/(-1 + 16). Is h <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kswjsknrw. Give prob of sequence wj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*q + 9, -q - 367*i + 1 = -368*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1*k*k**(3\/4))\/((k*k**6*k)\/(k*k*k*k*(k\/k**(3\/5))\/k))*k\/k**(-2\/9)*k**6*k**(-5\/2)*k\/(k\/(k*k\/(k**0\/k))) assuming k is positive.\nAnswer: k**(877\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612.2*-51167.\nAnswer: -31324437.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 39. Let m be 5\/b - (11 - 19). What is h in -1\/2*h**m - 3\/2*h**2 + 0 + 0*h = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -z + 19, 2*z + 4*h - 119 = -3*z. Suppose 37*l + 42 = z*l. Let u(i) = 2 - 3 + i + 3. Determine u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 1, 0.5 in descending order.\nAnswer: 1, 0.5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -31*c**2 + 0 + 0*c**5 + 9\/8*c**4 - 1\/3*c**3 + 0*c - 4\/15*c**6. What is the second derivative of g(v) wrt v?\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 131, 254, 391, 548, 731, 946, 1199?\n\"Answer: i**3 + i**2 + 113*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 540584879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - 3) - (4 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjp when three letters picked without replacement from {a: 1, o: 1, j: 3, p: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u. Let i(c) = -59*c**2 + 5*c + 3. Let m(d) = -120*d**2 + 11*d + 7. Let x(j) = -7*i(j) + 3*m(j). Calculate r(x(f)).\nAnswer: -424*f**2 + 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*b, -43*b + 33 = 5*j - 47*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/10, -0.096, -4, -19, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-12)\/(-24)*(-2)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.5, 0.5, 5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**2. Let f(b) = 2168067*b**2. Calculate v(f(c)).\nAnswer: -28203087098934*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564591343.\nAnswer: 7, 107, 2088907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 15183\nAnswer: -8\/15183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/15 - (-2)\/(-6). Solve -3*t + 4*v = 2, 2*v + 3*v = -u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3 - 12. Suppose -40*y + 32 = -78 - 90. Solve -11 = -f*p - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 72574.\nAnswer: 72559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = -20. Calculate the remainder when 48 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2, -5, -0.1, -50.\nAnswer: -50, -5, -1\/7, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**16\/d)\/(d**(-5\/6)\/d))\/((d**22\/d)\/(d\/d**(-8\/3))) assuming d is positive.\nAnswer: 1\/sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 13*i**2 - 1. Let l(c) = 2*c - 11. Let o be l(9). Let p(d) = d**3 - 9*d**2 + 1. Calculate o*p(s) + 5*k(s).\nAnswer: 2*s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 161*t + 7. Let y(k) = -80*k - 3. What is 3*x(c) + 7*y(c)?\nAnswer: -77*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3571859 by 6.\nAnswer: -3571859\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (3 - ((0 - 4) + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*z + 23, -u + 4*z - 10 = -3*u. Suppose 0 = 2*p - 14, -100 + 763 = 4*l - 3*p. What is the highest common divisor of u and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254041 (base 6) in base 2?\nAnswer: 101100110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12285 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41792\/(-23508))\/(1\/45).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/3 + 316*v**3 + 9687*v**2 + 90684*v + 264060 = 0. Calculate v.\nAnswer: -15, -9, -6, 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*i = 63594, -84792 = -0*x - 4*x + 3*i. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -368*m**3*r + 38087077*m**3 + 2*m**2*r - 6*m*r - 78*r with respect to r.\nAnswer: -368*m**3 + 2*m**2 - 6*m - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7465 at most as big as 2485673\/333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250*v**5*w - v**3*w**2 + 15*v*w**2 + 8*w**2 wrt v?\nAnswer: -5000*v**3*w - 6*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1358530 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 - 95*n**3 + 485*n**2 - 225*n - 810 = 0. What is n?\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*p**3 + 192*p**3 - 388*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r - 2297 + 32393 = 0. Calculate the greatest common factor of r and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22003 + 109303\/5. Suppose 5*l = l - 572. Let o = a - l. Is o at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(30)\/sqrt(3))\/(sqrt(60)\/(sqrt(12) - sqrt(12)*-2)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 24. Let n = t - 6. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17907\/10 + -1789. Calculate the common denominator of c and -7\/106.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1860\/7 + -268. What is the second smallest value in -2\/5, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/157 or -210681?\nAnswer: -210681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9062*l - 919184 - 78045 = -7309*l + 83257 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2\/3 - 81*u - 595\/3 = 0.\nAnswer: -119, -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 12*i)*(2 - 2 - 2) in the form j*i + o and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tktagew. Give prob of sequence eag.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 1, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 15322*w - 15327*w + 4*m, 2*m = -16*w + 160 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s - 4*o + 240 = 0, -2*s - 2*o - 104 = 0. Let p = s + 101. What is the highest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-287)\/56*(-33585)\/91799.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 30. Let l be i(-28). Is 3\/2 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2448 (b) -1 (c) 0.3 (d) 0.11 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2916 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/5))**(-2\/15)*(a\/(a*a\/a**(-2\/9)*a))**(2\/55) assuming a is positive.\nAnswer: a**(-794\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = -6*q, -4*b + 466 = 3*q + 451. Solve -10 = 5*w, 5*w + b = -5*t + 2*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -1.6.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -450064810 rounded to the nearest one hundred thousand?\nAnswer: -450100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(((k*k\/(k**4*k)*k)\/k)\/k))\/k))\/(k\/(k\/(k**(-1)*k))))\/(k\/(k\/((k\/(k\/((k*k**1)\/k)))\/k)*k)*k**(-3)*k) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-4 + (sqrt(2299) - (sqrt(2299) + -2)) - (sqrt(2299) + sqrt(2299) + 0 + -3 + sqrt(2299) - sqrt(2299) - sqrt(2299))) + 0 + -5)*6)**2.\nAnswer: 3168*sqrt(19) + 83340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761265.\nAnswer: 3, 5, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let y be -4*i\/(-16)*-2. Let f be y + (4 - 5) - -80002. What is f rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 37146. Let u(d) = 23*d - 1. Determine o(u(r)).\nAnswer: 529*r**2 - 46*r - 37145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43102*z**5 + 695721*z wrt z?\nAnswer: 862040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 7:19 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*r - 44. Let u = -51 - r. Is u not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1667340 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 3569346*y + 17846805.\nAnswer: -3*(y - 1189787)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 380?\nAnswer: 23\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -222859619*m**3 - 142842294*m**2 wrt m?\nAnswer: -1337157714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 513*b + 48. Let o(q) = 2*q**2 - 110. Give g(o(m)).\nAnswer: -12*m**4 + 2346*m**2 - 92682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -4, -0.2, -1.195, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3\/4 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5611\/(-124) - (-8)\/80*(-30)\/4. Are b and -44 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - 1) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 299\/46*(2 + 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 359116 - 2*r**3 - 7*r**3 + 0*r**3 - 358804.\nAnswer: -9*r**3 + 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*i + 26*i + 3 + 3*i**2 + 105.\nAnswer: 3*(i + 1)*(i + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 119*((-12)\/6)\/(-14). What is the third derivative of -90*a**6 + i - 36*a + 6*a - 2*a**2 - 17 - 115*a**6 wrt a?\nAnswer: -24600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngsew. What is prob of sequence gw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 15. Suppose -43 = -q*x + 6*x. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*w - 4, -14*w + 13*w = 5*d - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -13*z + 80. Suppose 720 = z*q + 4*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/28913 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p**2 + 25*p + 45. Let k(w) = -11*w**2 + 23*w + 28. Let n(b) = 4*k(b) - 3*o(b). Let s(f) = -3*f**2 + 6*f - 8. What is -6*n(h) + 17*s(h)?\nAnswer: -3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/7 (b) 1\/4 (c) -98\/11 (d) -11 (e) -4 (f) -5\/4 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -5) + (40 - 48)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*q = 24 - 66, 4*q + 16 = 0. Is 4 a factor of (-1)\/6 + 155\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -9 + 1. Which is the third biggest value? (a) i (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4331963 is divided by 62.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 776921, 3107756, 6992475, 12431072, 19423541, 27969876, 38070071, 49724120?\nAnswer: 62932017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2296, -2369, -2386, -2263, -1916?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*9\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 + 6 + -1 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 10 - 8) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432))**2 + sqrt(27))*4.\nAnswer: 12*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/28 and 6\/8 + (-4)\/(648\/549)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 283*r - 9. Let h(q) = -129*q + 4. Calculate -5*h(o) - 2*n(o).\nAnswer: 79*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 + -12) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 4:35 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1562)\/(-44) + (-1)\/(-2). Suppose -16 = 5*w - m. Solve -k + 3*u + 9 + 2 = 0, -6 = w*k - 2*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 1)**2 + 5.\nAnswer: 22*sqrt(13) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.4, 3, 0.26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m - 10. Suppose 5*k = m*g + 30, 2*g + 12 = 4*k + g. Let y be 6\/8*(-3 - -7). What is the highest common factor of k and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 859730 - 6877839\/8. Factor x*g**3 + 0 - 7\/8*g**2 - g.\nAnswer: g*(g - 8)*(g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w + 1. Let d(l) = -l. Let f(p) = 6*d(p) - z(p). Let b be f(5). Let i be b\/4 - 53\/(-4). What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 29, 18, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 487, -0.1, 8\/5 in increasing order.\nAnswer: -0.1, 8\/5, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 31 - 20 - 21, 16*c - c - u + 65 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2640*(-25)\/(-2) and (0 - -85)*4\/56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2930*o + 240270. Calculate u(82).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 - 30*l + 30*l - 32*l**3 - 40*l**3.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42136 - -429?\nAnswer: -41707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5445 - 5445 - 8861*l**2)*(3 - 1 - 3)*(1 - 1 + 2*l) in the form z*l**3 + u*l**2 + y + m*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 319249346.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -710, -1070?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-15)\/(210\/(-668)) - (6\/(-21) + 0) and 2048?\nAnswer: 6144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30478037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*g - m, 5*g - 4*m = g + 12. Let y = 3872\/5 - 774. Which is the nearest to g? (a) y (b) -5 (c) 1\/3 (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 4. Let y(j) = -j. Calculate -k(f) + 3*y(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 36. Find the common denominator of 117\/10 and q*(0 + 3\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1870894\/19 or -98468?\nAnswer: -1870894\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20496517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 20) + 12 + (-1 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:17 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 1150*o**3 - 25088*o**2 + 33112*o + 157344 = 0. What is o?\nAnswer: -22, -2, 3, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + n. Let a(i) = i**2 + 2. Let f(x) = -3*x**2 + 20*x - 10. Let c be f(6). What is c*q(d) - a(d)?\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -31, 5, 95, -2, -1 in descending order.\nAnswer: 95, 5, 4, -1, -2, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 4. Let p = 19 + -30. Let d(z) = -6*z + 21. Let a = 27 - 25. Calculate a*d(j) + p*l(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 3, t: 5}. Give prob of sequence tu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31610213 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1092 - 1095. Which is the nearest to 0.1? (a) 4 (b) h (c) 0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u + 3 - 13*u + 8*u. Let l(p) = 9*p - 2. Let k(n) = n**3 - 6*n**2 - 7*n + 7. Let w be k(7). Let d = -1 - w. Calculate d*l(z) - 5*i(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-8694.\nAnswer: -52164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*p**3 + p + 71*p**3 + 73*p**3 + 0*p**2 - 2*p**2 + 5 - 211*p**3 to the form d*p**2 + r + v*p + f*p**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3867, 3865, 3863?\nAnswer: 3861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2554656 to the power of 1\/2, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 + 15093996*q + 30188008 = 0. What is q?\nAnswer: -2, 3773501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (-68 + 16) - 58.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-10)*u)\/u)**43 assuming u is positive.\nAnswer: u**(-430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 673 and 0.068?\nAnswer: 45.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1374\/7 - -196. Which is the closest to 0? (a) -2 (b) n (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 13*l**4\/24 - l**3 + 3*l**2\/2 + 4. Let n(v) be the second derivative of a(v). Is 23 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w. Let r be g(1). Let c be 0\/((r + 9)\/(-5)). Suppose -s - 5 + 7 = c. Solve -s*x = -5*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7494095 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**4\/6 + 243*a**3\/2 - 8*a**2 - 40. Let t(v) = v**2. What is t(j(f))?\nAnswer: 16*f**2 + 5832*f + 531441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i**2. Let k(l) = 3*l**2 + 5*l. Let u(r) be the first derivative of 2*r**3\/3 + 3*r**2\/2 + 6. Let c(z) = 3*k(z) - 5*u(z). What is c(x(h))?\nAnswer: -144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 27*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, f: 6, e: 3, o: 1}. What is prob of sequence eb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34306105, 68612190, 102918273, 137224354, 171530433, 205836510, 240142585?\nAnswer: 274448658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - r - 3. Let g = 3 + -3. Let m be t(g). Let o be 8 + 0 + 2 + m. Solve -o = 3*y + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1288 - 485 - 348 - 457 + 0*f - 19*f.\nAnswer: -19*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25694 - -14187. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*g - 5. Let l(y) = 3*y**3 + 4*y**2 - 2. Let p(t) = t**3 - t**2 - 1. Let s(k) = l(k) - 2*p(k). Calculate s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1944)*-2 - sqrt(1944))\/(sqrt(84)\/sqrt(63)) + 3 + (1 + sqrt(32) + sqrt(2) - (sqrt(40) - sqrt(10))\/sqrt(5))).\nAnswer: -20 + 385*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 10. Let g be q(5). Let j be (-6)\/g + (-59000004)\/(-10). What is j rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 5.8, 4?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10848278054.9 - -1.38.\nAnswer: 10848278056.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123ce1 (base 15) in base 6?\nAnswer: -30420421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) 2\/7 (c) -0.007 (d) 2\/11 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33, 99, 187, 291, 405, 523?\n\"Answer: -p**3 + 17*p**2 + 22*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46929, 93880, 140839, 187806, 234781?\n\"Answer: 4*x**2 + 46939*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = -3*y + 27662, 3*y - 27686 = 2*l. Let m = y - 2763. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -3 (b) -482 (c) 0.1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10580745.\nAnswer: 3, 5, 7, 100769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 151*f**2\/2 - 835. Let q(r) = -52*r. What is k(q(h))?\nAnswer: -7852*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101904283 to seven dps.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 2*g**4 - 4*g**3)*(-4*g + 5*g + 0*g) - 3*g**5 + g**5 - 3*g**5 + (4*g**4 + 2*g**4 - 3*g**4)*(-g + 4*g - 2*g) - 6*g**5 + 128*g - 128*g.\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000189 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1209203.221649 + -1209204. Let z = -0.7306 + -0.0474. Let o = h - z. Round o to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 3 (c) 280.351 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-120)\/(-600))\/(-3*(-2)\/333) and -17\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**3 + 0*h**2 - h + 5\/4*h**4 - 3. Differentiate g(z) with respect to z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 8:51 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18507*d**2*x - 7*d*x**2 - x**2 - 2345*x + 135 wrt d?\nAnswer: -37014*d*x - 7*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 1844825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-180))\/(56\/336).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17510303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 6. Let g be a(3). Solve -4*p + 4*x + x - 8 = 0, 2*x = -g*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -130, -134, -140, -148, -158?\n\"Answer: -u**2 - u - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(72)\/sqrt(128)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, 78, 198?\n\"Answer: 120*u - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 44*s**3 - 132*s**2 - 20*s + 200.\nAnswer: -4*(s - 1)*(s + 2)*(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5378732099.\nAnswer: 13, 43, 1409, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 2. Let y(t) = -t + 1. What is -2*b(p) + 6*y(p)?\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 9. Let x(c) = c**3 + 7*c**2 + 8*c + 15. Let f = -12 - -6. Let t be x(f). Let j be u(t). Solve i + 4*z + 16 = -3*i, j*z + 2 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207148544 divided by -16?\nAnswer: 12946784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139 and 127741?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(9\/57)*5. Let l = 397 - 158. Let a = l - f. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68364 and 36292.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 57*f**2. Let c(a) = a**2 + a - 1. Let v(d) = -1 + 7*d - 8 + 2 + 4*d**2 + 4*d**2. Let x(y) = -21*c(y) + 3*v(y). What is t(x(s))?\nAnswer: 513*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n**3 + 0 + (-5*n - n + 3*n)*(n**2 - 4*n**2 + 4*n**2))*(-6*n**2 - 8 + 8).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-318*j + 30 + 2 - 34)*(2*j**3 + 0*j + 0*j) - j**4 + 4*j - 4*j to the form s*j**4 + m*j**3 + w*j**2 + v*j + r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/5 + 6*k**4\/5 + 6*k**3\/5 - 28*k**2\/5 - 9*k - 18\/5.\nAnswer: -(k - 6)*(k - 3)*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 1, -3, 597, 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.19 - -6.32. What is b rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.926 times -0.0705?\nAnswer: -0.347283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 10*v + 12)*(-3 + 3 - v**2)*(-156*v**2 - 10*v**2 + 6*v**2).\nAnswer: -1600*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-2))\/o*o)**(-2\/5)*(o**(-1)*o)**25)\/(((o*o*o\/o**(-1\/11)*o*o)\/o)\/(o**10*o))**(-7\/2) assuming o is positive.\nAnswer: o**(-1308\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l. Let n(z) = 5*z - 83. Let w be n(17). Let d(p) = -159*p**2 + p + 174*p**w - p. Determine f(d(s)).\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + u - 59, -4*w + 3*u + 74 = -5. Suppose 3*a = g - 14, -2*g = 3*a + 2*a + w. Solve -g - 6 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**8\/8960 - i**7\/672 - 7*i**6\/960 - 3*i**5\/160 - i**4\/6 - 6*i. Let w(a) be the third derivative of x(a). Factor w(c).\nAnswer: -3*(c + 1)**2*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uruurrukk. Give prob of picking 1 k and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34032 divided by 2?\nAnswer: 17016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3acc - -79?\nAnswer: -3a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2. Let y(q) = -3*q**2 - 3*q + 3. Let l(g) = 3*g**2 + 2*g - 2. Let t(n) = 3*l(n) + 2*y(n). What is t(a(k))?\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -13 (b) 0.4 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4107*y + 76*y**2 + 4194*y + 4707*y**5 + 79*y**2 - 155*y**2 wrt y.\nAnswer: 94140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 5*c + 1. Let v(p) = -p**2 + 5*p. Let a(k) = 89 - 7*k + 7*k + 0*k**2 + k**2 - 30 + 15*k. Let d be a(-8). What is d*v(m) + 2*s(m)?\nAnswer: m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + -4.8. Let l = -6 - t. Let i = l + -7.6. Are i and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(16\/24*(-6)\/(-8)). List the prime factors of (-152)\/(-2) + h + (-18)\/6.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 600498*c + 1200988.\nAnswer: 2*(c + 2)*(c + 300247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 u when four letters picked without replacement from {w: 2, u: 3, s: 6, m: 2}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 461 + 223 = 0. Is 114 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2*j**3\/3 + j**2\/2 - 6. Find the second derivative of w(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 72649*q**2. Let i(d) = d**2. Give h(i(u)).\nAnswer: 72649*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - i + 3 - 32 = 0, -3*s = 3*i - 87. What is the highest common factor of s and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 + 17022*a**4\/7 - 260829*a**3\/7 + 98064*a**2 + 343440*a\/7 = 0 for a.\nAnswer: -3\/7, 0, 4, 12, 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 273345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4643045 and 1562.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/22 - (1 - 0)*-3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2. Let k = -61 - -63. Let u be (0 + 3)\/(k - 195\/102). Let f(j) = 691 - u*j**2 - 691. What is p(f(z))?\nAnswer: 1156*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/51465 and 141\/4940.\nAnswer: 50847420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39126 = -105*h + 111*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r = -2273700 + 2275245 for r.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2671518 is divided by 178101.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(-3))\/((-32)\/96). Suppose y*f - 21 = 4*f. Solve -4*q - 3*b - 2 = -b, f = q - 3*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*s + 3*s + s + (7 - 2 - 3)*(-2*s - s + s) + 2*s + s - 2*s + 3*s - s + 0*s + s + 2*s - 4*s + 477*s - 224*s + 329*s.\nAnswer: 582*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -156*i + 1. Let c be q(1). What is the remainder when (-4)\/(-8) + 1\/((-2)\/c) is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 691 + 201 = 0. Let p = -201\/2 - f. Let w = 8.63 - 8.7. What is the nearest to w in p, 2\/13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -6 + 4 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7133 = 980*u + 15407 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-136)\/(-170) - ((-22)\/10 - 1). Let n(q) = 294*q + 9. Let u be n(6). Let b = u + y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbz. What is prob of sequence bb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1231, -1237, -1247, -1261, -1279, -1301?\n\"Answer: -2*s**2 - 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139.99892 + 140. What is g rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 272495 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-8)\/(-10)*(-5)\/(-9). What is the closest to 0.09 in i, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 10*b + 43*b)*(-5 + 22 + 12)*(b**2 - b**2 - b**2).\nAnswer: -1624*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32597 times 0.1?\nAnswer: 0.032597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2860*h**4*r**2 + 51*h**3*r**3 - h*r**3 + 315*h*r - 3*h + 21*r**3 wrt h.\nAnswer: -34320*h**2*r**2 + 306*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57171 is divided by 57118.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 2. Suppose -k = -v + 2*l, 4*v - 14 = 4*l + 18. Solve -5*j - v = 2*m + 17, 17 = j - 5*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -534, 5, 27 in descending order.\nAnswer: 27, 5, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*x - 2 + 20, 5*x = 5*f - 55. Solve 0 = -3*i - 1 - f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2747 - 2729. Let s be -16*(-1)\/(-2)*-9. What is the greatest common factor of s and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14699, 0.5, 2.1?\nAnswer: -14699","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1*4\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 125 = -61 - 172 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 9. Let w be g(-5). Suppose -26 = w*a - 178. Suppose -a = -r - 3*o - 2*o, -3*r + 3*o + 24 = 0. Is 14 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - k - 11 - 1, 2*k - 12 = -3*f. Suppose 540 = -f*j + 3440. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 25883*c**3 + 167521240*c**2 - 502330800*c.\nAnswer: c*(c - 12940)**2*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 - -85. Let w be (0 - o) + -3 + 0 - -3. Is 1546\/4*(-8)\/(w + -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 1, o: 2, s: 1, q: 1, x: 1}. Give prob of sequence qox.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 + 390. Let q = j - 264. What is the closest to 1\/2 in -4, -1, -1\/5, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = 0. Let m = l + 12. 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 (y**(4\/5)\/(y**(2\/3)\/y))\/(y**(2\/9)*y\/y**(-6\/11)) assuming y is positive.\nAnswer: y**(-314\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 2. Let g(n) = 91*n + 20. Determine g(t) + 3*k(t).\nAnswer: 103*t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*p - 446*p = 51 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -355 divided by -71?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*m + 19 = 0, 3*l + 2*m = -2*m - 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 580 = 3*x + 790, -x = 5*z + 82 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 47*t**2 - t. Let p(k) = 606084*k. Determine p(l(r)).\nAnswer: 28485948*r**2 - 606084*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 89*y - 6340. What is r(66)?\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-7)\/3) + ((-175)\/(-294) - 0)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -351559.\nAnswer: 70311.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*y = 84, -114 = -5*j + 2*j - 5*y. Suppose j*g = 36*g - 57. Find the second derivative of 19*s**3 + 34*s - 26*s**3 + g*s**3 wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 10) in base 16?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 32*s + 46. Determine m(-12).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 7 - 13 - 2 + 212*b - 9 to c*b + n and give c.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -236, -235, -234?\n\"Answer: p - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.5. Let f = -16 - -16. Does f = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-115.4506.\nAnswer: 461.8024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13))**(1\/45)*((a\/a**(2\/71))\/a)\/a**(-4\/27) assuming a is positive.\nAnswer: a**(-1619\/9585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 642\/7 (b) 3 (c) -1534 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/7)\/(u*u**(-1\/2)))**(-9\/5) assuming u is positive.\nAnswer: u**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1163.9 - -1223. Let v = -59.100112 + y. What is v rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2795)\/215*(-6)\/1521.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 24 = 3*k, 2*k = -4*p + 5*k + 60. Calculate the remainder when p is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 1750310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86.5 + -0.05.\nAnswer: 86.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 747668276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:11 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + 5*a**2 - a**2)*(-2*a + 6*a - 2*a) + 473*a**2 + 19*a**3 + 19*a**3 - 36*a**3.\nAnswer: -2*a**3 + 473*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 3*s + 5. Suppose 78 - 74 = -2*i, -3*i = 2*k + 28. Let n(l) = 5*l**2 - 16*l + 26. Give k*o(r) + 2*n(r).\nAnswer: -r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 779.79803948 + 0.09416052. Let x = -780 + j. Round x to 3 dps.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**2)**(1\/13)\/((((t*t*(t*t**(2\/27)\/t)\/t)\/t)\/t)\/(t*t\/((t*t\/((t\/(t*t**(-1\/6)))\/t))\/t)*t)))**(-12))**(-20) assuming t is positive.\nAnswer: t**(63080\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -7 - (-4 - (2 + -10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 103 (c) 2\/17 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -18 (b) 0.3 (c) -0.5 (d) 3148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 20. Let u be p(0). Let n = -97 + 102. Suppose -25 = -3*d - n*y, -d + 2*d + 4*y - 20 = 0. Solve -4*b + u = d, -b - 17 = 3*f - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32523?\nAnswer: 3, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 797128125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 0.129907, -12, 2\/23 in ascending order.\nAnswer: -12, 2\/23, 2\/19, 0.129907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/70)\/((210\/147)\/(30\/(-12)))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 14 = 4*w - 5*j, -w = 3*j - 5. Is -2\/41 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:07 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 = 24. Suppose -6*f - 4 = -8*f. Let w be (24\/15)\/(f\/(-10)). Is g bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 49 = -64. Let w be (10\/15)\/((-2)\/i). Solve 2*o = -3*d - w, -4*d + 2*o = -3*o + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1139146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 6*i - 3. Let l = -1 - -5. Let v(c) be the first derivative of -7*c**3\/3 - 13*c**2\/2 + 7*c - 37. Let w(s) = l*v(s) + 9*u(s). Determine w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86908 is divided by 746?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 2.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 44173.12ug?\nAnswer: 0.00000004417312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**4*m + 20*k**4 + 16*k**2 - 16*k*m + 29*k - 2*m + 1 wrt k.\nAnswer: 48*k**2*m + 240*k**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1992283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59236042, 59236044, 59236048, 59236054, 59236062, 59236072, 59236084?\nAnswer: 59236098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-18) + (-106810)\/6. Let w = 320557\/18 + j. Find the common denominator of 47\/58 and w.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from {l: 17, q: 2}.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 4*t + 6*t - 3*t to w*t + x and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzkl when four letters picked without replacement from ilzzkikzvzizkilzi?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210 + 2308\/11. Let p be (-1)\/5 + 2\/8. What is the nearest to p in g, 0.4, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383732 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*3\/(-30))\/((-9)\/(-30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 + 89510262343\nAnswer: 89510262342.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + a - 6*a - 11 = -10, 15*a - 41 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -14, 31, -435 in ascending order.\nAnswer: -435, -28, -14, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-300)*-42*1.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -12 + 14 - 55*d + 12. Let x = -1202 + 1193. Is n(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o. Let r(z) = -1553*z. Give n(r(x)).\nAnswer: 3106*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 2\/5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 - 3*s + 7. Let n(o) = -o**3 - 11*o**2 - 18*o + 4. Let f be n(-9). Let d be h(f). Sort -3, -2, d.\nAnswer: d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67597373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 7)*(-3*m**2 + 4*m**2 + m**2 + (-5 + 3 - 4)*(-2*m**2 + 0*m**2 + 3*m**2) + (m**2 + m**2 - 4*m**2)*(-2 + 0 + 1)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 191.5089 - 0.0089. Let q = r + -192. What is the third biggest value in 2, -2\/47, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*r = 8, x + x - 3*r - 16 = 0. Suppose 0 = -j + 3*g - x, 5*j + 0*j = 2*g + 55. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1092 and 832.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s + 0*s**3 + 0 + 6*s**2 + 1\/24*s**4. Let u(m) = -9*m**2 + 2*m**2 + 2*m**2. Give b(u(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:02 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-50)*(-5)\/(-14)*(-3)\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37129 - 30746. Calculate the highest common factor of 195 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39471 and 708.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17036 (base 9) to base 7\nAnswer: 46050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950704 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.27 - -2.27. Which is the smallest value? (a) -2 (b) -8 (c) 5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1663 + 1705 - 1949 - 1711)*(-t - 4*t + 98 - 94) as p*t + w and give p.\nAnswer: 18090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 1 + 12*p + 3 - 14*p. Let b(z) = -2*z**2 - 3*z + 2. Give -3*b(g) + 4*r(g).\nAnswer: -2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -7. Suppose -v = -2*y - 3*t, 2 + 6 = 4*t. Let x(k) = -3*k + 17. Let l be x(y). Calculate the greatest common divisor of 119 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -46*y + 42*y. Let m be ((-4)\/22)\/(3*y\/(-165)). Suppose -8 - 4*r - m*r**2 = 0. Calculate r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28553579071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000744022 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18288 by 6.\nAnswer: 3048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148039*s - 2*s**2 + 148039*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1764 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*v + 1144, -g - 1706 = 2*g + 5*v. Let y = -378 - g. Let c = -102 + y. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -3310?\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1531, -5, 12, 0 in decreasing order.\nAnswer: 12, 0, -4, -5, -1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4259, 8518, 12777, 17036, 21295, 25554?\n\"Answer: 4259*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*c - 2*c + g, -3*g + 6 = 0. Suppose -a + 2*a - 18 = 0. Calculate the remainder when a is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73.233 + 73. Let m = v + 0.23300097. What is m rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*y + 56 + 352. Suppose -4*n - 14 - 3 = -r, -3*r - 5*n = y. Which is greater: -2\/119 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-one halves of a week?\nAnswer: 5124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3376 - d + 9953 + 4020.\nAnswer: -d + 17349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 26 = 0, 24331*p = 4*h + 24326*p - 59. Let k = 41 - 24. Calculate the remainder when h is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39176738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 2*z + 9, 14*z - 3 = g + 15*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531, 542, 553, 564, 575, 586?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 + 78*t**2 - 471*t - 270. Determine h(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80815 is divided by 156.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + h = -2*h, -4 = u + h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14613663 divided by -310929\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 635363094 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 3, 4\/3, 2.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 23639*j - 165376. Give y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by (-452 + 12)\/(-20) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/78 and 31\/69?\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 128*f + 367 = -1141 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*6*(3 - (-26)\/(-6)). Suppose h - 2*h + 8 = 0. What is the highest common factor of h and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -10*h + 1950. What is the common denominator of (-2 + 0)*(-23)\/(-4) and h\/308 - (27\/(-33) + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 1877?\nAnswer: 39\/1877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from njjuuhjjjgjhahjj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1386536 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 446 - 453. Is (b\/3)\/(18\/(-384534)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 29. Suppose i*q = -q. Suppose 2*r + 2*o - 904 = -0*r, q = 2*r + o - 901. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 394003 by -20737.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*sqrt(32) - (sqrt(24)*-1)\/sqrt(12)))**2 + 3 + (2 + sqrt(128))**2 + sqrt(2)*-1 + -2.\nAnswer: -121*sqrt(2) + 871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 7. Let r be x(5). Let y be 3 + 2*3\/r. Suppose -q - 5*l - 20 = y, 2*l + 4 = 4*q - 4. Solve -3*j + q*j = 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -144*u**6\/5 + 25*u**4\/4 - u**3\/3 - 3*u**2 + 127*u - 3. What is the third derivative of t(c) wrt c?\nAnswer: -20736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*g**3*s**3 + 557*g**3*s - 38*g*s**3 + s**2 wrt s?\nAnswer: 78*g**3 - 228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 43*d = 2. Let m(w) be the third derivative of -w**5\/15 - w**4\/6 + 2*w**3\/3 + w**2. Let p(l) = -l**2 - l + 1. Give d*m(z) + 6*p(z).\nAnswer: 2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -322, 741, 0.03, -5?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -18, -24, -32, -42, -54, -68?\n\"Answer: -g**2 - g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 9*s + 5*s)*(-5 + 17 + 5*s - 3*s).\nAnswer: -16*s**2 - 96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apay when four letters picked without replacement from {p: 1, y: 1, a: 9}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -51. Let j(i) = -411*i - 95. Calculate -j(g) + 2*u(g).\nAnswer: 411*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6.2 (b) 2 (c) 1\/5 (d) 0.1 (e) 2\/3 (f) -180\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3552876, 3552878, 3552876, 3552870, 3552860, 3552846?\n\"Answer: -2*o**2 + 8*o + 3552870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.33 (c) 0 (d) 12 (e) -15.4 (f) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/((-2)\/5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -881*o**2*t - 3*o*t**3 + 35012*t**3 with respect to o.\nAnswer: -1762*o*t - 3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*x - 5*o = 124*x + 7, 0 = 3*x - o + 19 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 164 divided by -3473\nAnswer: -164\/3473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 462831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 x, and 1 r when four letters picked without replacement from xofxofxoxrxoxoorox.\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 623.166 and -0.08?\nAnswer: -49.85328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3213, 3215, 3219, 3225, 3233, 3243, 3255?\nAnswer: 3269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/5 - 1342*d**3\/5 - 2676*d**2\/5 = 0. Calculate d.\nAnswer: -669, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9636\/119 + 54\/119. Let z = x - 49583\/609. What is the common denominator of 44\/9 and z?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/1661681 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2. Let x(u) be the first derivative of -u**4\/24 + 19*u**2\/2 - 14. Let z(y) be the second derivative of x(y). Give c(z(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 544072?\nAnswer: -544101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - -1564?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 2*s**2 + 7*s - 9. Let p = 195 + -200. Is 2 a factor of b(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 9*f**2 - 1. Let m(p) = 9*p**3 - p**2 + 2*p - 1. Let l be m(1). Let g be h(l). What is the second smallest value in 0, 4, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 30*x + 955. Let d be q(-32). Let j(n) = n. Let i(s) = -6*s + 20. Determine d*j(b) - i(b).\nAnswer: b - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 151 - 2. Let a = h + 73. Calculate the remainder when (a\/(-33))\/((-4)\/114) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6681 is divided by 216.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -109.\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/(-5))\/((-2)\/15). What is the units digit of ((-66)\/(-9))\/(1\/(0 - s))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 6 = 5*z + 2*q, 4*z - 3*q - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, -0.9, 5, -1\/6, -0.3, 0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -416023 (base 7) to base 13\nAnswer: -26839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 5*o**2 + o - 2. Let t(g) = g**3 + 5*g**2 - 14*g + 5. Let v be t(-7). Let r be a(v). Solve -x + 4 - r = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k - 0. Let i be (-4)\/16*-28 + -4. Suppose 4*h + 5*y = 26, 4 + 4 = h + 2*y. Sort -5, k, h, i in ascending order.\nAnswer: -5, k, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 915539415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5326533 (base 7) in base 10?\nAnswer: -645795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-11))**41 assuming k is positive.\nAnswer: k**(-410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-234) - (-6)\/(-39). Solve 2*k - 4 + g = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjfffkvfrjjkx. What is prob of picking 1 r, 1 k, and 2 j?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*p*r*x - p*x**2 - 21*p - 2*r*x**2 wrt r.\nAnswer: -40*p*x - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 26.2. Which is the closest to -0.3? (a) -0.2 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, g: 6}. Give prob of sequence jggj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.6 - 3.2. Round x to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1898100\/(-9785) - (-12)\/(-618). Let h = -591 + 397. Is v != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 4, t: 2, x: 1, r: 4, u: 1}. What is prob of sequence utg?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110001100100101 (base 2) to base 10.\nAnswer: 254757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, d: 3}. What is prob of sequence fddf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(sqrt(242) - (sqrt(242) + (1*sqrt(242) - sqrt(242))) - sqrt(242))*3*-1.\nAnswer: 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -2*q - s, 4*q - 5*s = 7*q - 217. Let u = q + -39. Solve -4*z - z - u = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - -1. Suppose -5*l = -351 - i. What are the prime factors of l?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 103*b**2 - 211*b + 2. Let k be u(2). Let f(v) = -28*v**3 - 8*v + 1. Let z(g) = -19*g**3 - 5*g + 1. What is k*z(s) + 5*f(s)?\nAnswer: 12*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + x**2 + 7*x - 18*x + 10*x + 0*x to a*x**2 + d*x + g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1772963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (11 - 20) - -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1336 - -1338. Solve 0 = 5*p - n + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25726 - 684 = 282*d - 9926 for d.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/627 or 1?\nAnswer: -34\/627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i - 4. Calculate j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(27)\/(sqrt(1296)*4).\nAnswer: -2 - sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4809 a factor of 1049619527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 19. Let k be s(14). Suppose 3*p + b = 67, 0 = 2*p - 4*b - 9 - 31. Let o = p + -20. Solve -4*t + o*d + 18 = 0, k*t - 5 = 4*t + d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:35 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 447947667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 433219 and 18373.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 5) to base 13\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 22, 69, 158, 301?\n\"Answer: 2*y**3 + 3*y**2 - 6*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194.1 - 3.9. Let x = 193 + g. Let b = -150\/11 + 816\/55. What is the second smallest value in b, -12, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00268596684 to seven dps.\nAnswer: -0.002686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from ppppppppppkpppp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 106\/20 + 42\/(-140). Let r be 4 - (-327)\/(-60) - (-1)\/b. Let t = 6 - 11. Put r, -0.2, 3\/11, t in increasing order.\nAnswer: t, r, -0.2, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968*k = -4463 + 9303 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/43401 and -1\/4986?\nAnswer: 72132462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24454939471975 + -24454950943156.000037. Let d = f + 11471248. Let k = -67 + d. What is k rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802209.933ms to weeks.\nAnswer: 0.0013264053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -24*i**3 + 3*i**2 + 6*i. Let j(t) = -t**2 - t. Calculate 5*j(k) + n(k).\nAnswer: -24*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 32824616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 56. Let w = -3 - r. Suppose -4*q + w*q = 142. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247500 divided by 6\nAnswer: 41250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1002 - -5?\nAnswer: -bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6422497 or 6422496?\nAnswer: 6422496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11028 and 1758.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1335414 (base 6) to base 2\nAnswer: 10010010101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53095151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-1*(-6)\/(-3). Let l be 22*2\/16*z. Let k(i) = i**3 + 10*i**2 - 14*i - 12. List the prime factors of k(l).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209418.3 * -0.34\nAnswer: 71202.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 712 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -763482? (a) 0.09 (b) -3\/4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2424 and 631416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = v + 4, -3*v = -3*x + 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 + 497615*g - 32843074\/3.\nAnswer: (g - 22)*(g + 1492867)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m + y + 3 = 0, -2*m = -4*y. Is m\/4 + 11155\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -39 (b) 8 (c) -1 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-6))\/((-20)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + l**2 + 2*l + 1. Let w be u(2). Solve 5*m + 25 = 5*x, 5*m + w = -4*x + 2*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 60 = 180 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than 246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -128267.\nAnswer: 8\/128267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgagndnannnawdandnw. What is prob of sequence agnn?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*m + 52149 = 0, -104*r + 103*r + 2*m = -17367. List the prime factors of r.\nAnswer: 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 22 + 34 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p**2 - 62*p + 877. Is v(27) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = 3*x. Does 14 divide (-68)\/(-6)*x\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/8 - 8*v**2 + 2. Let f(i) = -12*i. Let x(u) = -f(u) + 9*p(u). Let b(j) = 2*j**2 - 5*j**2 + 5*j**2. What is b(x(a))?\nAnswer: 450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(-4*(sqrt(1872) - (sqrt(1872) - (5 + 1*sqrt(1872) + sqrt(1872))) - (sqrt(1872) + -1 + -1))*-1)**2*-1.\nAnswer: 48384*sqrt(13) + 553248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 12:39 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**2 + 3 + i**3 - 4 - 6. Let t be q(-8). Let x(z) = 3*z**2 + 13*z + 7. Let o(f) = 2*f**2 + 9*f + 5. Give t*o(c) + 5*x(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 334*o = 337*o - 24, k - 17 = -2*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z - 4. Let a(o) = 2*o**2. Calculate a(r(m)).\nAnswer: 128*m**2 + 128*m + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57013, -56494, -55629, -54418, -52861, -50958, -48709?\nAnswer: -46114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 593 or 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let p(h) = 2*h**2 + 12*h. Let i be p(-8). Suppose -b = -3*f - 93, f + 3 + i = -b. Let j = f + 34. What is c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2 + 70*s - 1225 = 0. What is s?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -87682*t. Let w(j) = -1247*j**2. What is c(w(s))?\nAnswer: 109339454*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/3 - 560*y**2\/3 - 3198*y - 14148 = 0. What is y?\nAnswer: -262, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-38) - (-2 - -6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Suppose 25 = -i + z*c, -3*c + 2*c = -i - 10. Is 13 a factor of 8*i\/(-3)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4579 is divided by 2288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -5, 24, 5, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39594 and 370729?\nAnswer: 410323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.54185ml in litres?\nAnswer: 0.00554185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7))**2*2 + -2 + (-1 + sqrt(7))**2.\nAnswer: 6*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 525363627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (15 - 13) - 12 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from kkrivvxkkrikkvvxk.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1. Let z(s) = -20*s + 6. Let m(f) = 3*k(f) + z(f). Let g(p) = 154095*p**2 - 7 + 7 - 154094*p**2. What is m(g(v))?\nAnswer: -23*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*g**3*q + 2*g**3 - 3*g**2*q + 4*g**2 - 2114*g + 2*q wrt g.\nAnswer: -810*g*q + 12*g - 6*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0571, 2\/17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4296)\/(-9845) - (-6)\/(-165). Solve -8\/5*s**2 - 16\/5*s**3 - p*s**5 - 2*s**4 + 0 + 0*s = 0 for s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 47 = -4*q - 2*o, 3*q + 2*o - 34 = 0. Solve -5*u = -2*k - q, -2*k = -4*u + 7 + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1870 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4 + 13*j**3 + 29*j**2 + 15*j = 0.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -3.4, 7\/5, 0, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z + 4361. Is 21 a factor of n(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148614 to the power of 1\/2, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -96*c**2 - 2. Let h(u) = 7*u - 4. Let f(n) = -8*n + 5. Let j(d) = -4*f(d) - 5*h(d). What is j(g(o))?\nAnswer: 288*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 22. Let a be f(25). Suppose -3*t + 1 = -11. Calculate the remainder when t is divided by 3\/(11\/6 + (-1)\/a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 r, and 1 j when four letters picked without replacement from urrarjrua.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:29 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -67*v + 674. Let k be d(10). Solve -p = k*g - 9, p + p - 15 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 105 = w, 0 = 8*w - 11*w - 3. Which is bigger: 1\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 147, 309, 757, 1635, 3087, 5257?\n\"Answer: 24*o**3 - o**2 - 3*o + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 21*x - 1339. Determine i(63).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548 = 2*c - 8. Calculate the common denominator of -73\/4 and (14\/c + 0)\/((-26)\/1105).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, -4\/3, 0.5, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -178, -708, -1592, -2830, -4422, -6368?\n\"Answer: -177*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Let a = -2 + q. What is the third biggest value in 1\/3, a, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Let q = 0 + f. Suppose 6*v + 3*v - 45 = 0. Which is the third biggest value? (a) 1\/4 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**6\/120 + r**5\/20 + r**4\/6 + r**3\/2 - 5*r**2\/2 + 5*r. Let i(y) be the first derivative of a(y). Give i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20944 rounded to the nearest 100?\nAnswer: -20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.209 - 0.709. What is the nearest to 17 in 0, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7301739t to micrograms.\nAnswer: 730173900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 2*p + 2. Let b be q(-3). Let x(f) = -2 + 4 - 10*f - 3 - 19*f. Find the common denominator of x(b) and -36\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**3 - 40713*t**2 + 48753*t + 219753.\nAnswer: 3*(t - 2713)*(t - 3)*(5*t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 18*l**2 + 18*l - 3. Let m be d(-19). Suppose 4*u - 8 + m = 0, 0 = -5*x - 3*u + 479. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -98*i**2 - 76*i**2 + 18*i**2 - 9*i**2 - 108*i**2 + 5577*i**3. Let u(p) = 41*p**3 - 2*p**2. What is -2*h(a) + 273*u(a)?\nAnswer: 39*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3851 = 3*u + 2*k - 17842, -5*u = -2*k - 23297. Calculate the greatest common factor of 79 and u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3 + 3 - 756078*t**2 + 755861*t**2).\nAnswer: 434*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 42, 105, 184, 273, 366, 457?\n\"Answer: -o**3 + 17*o**2 - 3*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14494960, -14494955, -14494950, -14494945, -14494940?\nAnswer: -14494935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, m: 3}. What is prob of picking 3 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/26*(12\/(-10))\/((-6075)\/6750)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094051318.\nAnswer: 2, 31, 2441, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = y, 2*y + 3 = 5*z - 4. Suppose -4*p + 1468125 = y*n - 319863, -5*p = 2*n - 893985. Round n to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54.838 + -55. Let j = -0.1721 - h. What is j rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77305100053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v\/(v**0*v)))\/v)\/(v\/v**(-3\/4)) assuming v is positive.\nAnswer: v**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -15. Let p(z) = -z + 2. Calculate p(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2892 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)*(p\/(p**(-22)*p))\/p)**(1\/6) assuming p is positive.\nAnswer: p**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/(-108) - 1\/(-2). What is the second biggest value in 0.5, l, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22610 divided by -33.\nAnswer: -22610\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3000920*p + 2*p**2 + 3000920*p. Let f(w) = 4791*w**2. Calculate c(f(x)).\nAnswer: 68861043*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/8 + 9\/12. Let f(p) be the first derivative of 0*p + 0*p**4 + 2\/5*p**s + 0*p**3 - 1 - p**2. Find the second derivative of f(l) wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173415 divided by 4\nAnswer: 173415\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 4)*((-4)\/(-3) + 30\/(-9)). Solve n - 3*j - 2 = 0, -u*n + 2*j - 17 = -7*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.2, -5\/2, 0, 5, 1431 in descending order.\nAnswer: 1431, 5, 0.2, 0, -2\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 32 - 78 = 5*j, 0 = 3*s - 5*j - 60. Let r = 71 - 73. Let k be (-420)\/(-16) + r\/8. Are k and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -20757373.\nAnswer: -20\/20757373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 62. Let g be z(-16). Solve -x - 4*f = 3, -g*f = 4*x - 9 + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, k: 1, n: 1, v: 1}. What is prob of sequence ov?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2460*-26618.\nAnswer: 65480280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6572 - 6572.2. Sort k, 0.6, 20 in decreasing order.\nAnswer: 20, 0.6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565.56 rounded to the nearest ten?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509801 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 + f**4 - 2 + 2*f - 2*f**2 + 4*f**3 as z + q*f**4 + n*f**2 + l*f**3 + x*f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075982842 rounded to 5 decimal places?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -884245.5 to the nearest 1000.\nAnswer: -884000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-24452382\nAnswer: -9780952.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one fifths of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**4 + 3894*a**3 + 820308*a**2 - 3328056*a + 3343680 = 0.\nAnswer: -1032, -270, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2888, -11594, -26114, -46448, -72596, -104558, -142334?\n\"Answer: -2907*p**2 + 15*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 1 + -23 + 70 + 12?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 318 - -1653\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3470 (base 11) to base 13\nAnswer: 20c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -13*d - 3*z - 5, -9*d = 9*d + 2*z - 34 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080 at least as big as -4\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21 * 9774\nAnswer: 205254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 898534 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-18))\/((-10)\/(-3) - -1 - 4). What is the closest to 1\/2 in l, -4, 204?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1892701771 to the nearest integer?\nAnswer: 43505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) -4 (c) 0.382\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-11 - 1 - 60962\/(-4564))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9464 - 9465.1977. Round m to 2 decimal places.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -22*i + 326. Let n be y(9). Solve -130*g + n*g = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let n(v) = -112*v**2 + 8*v. Let j(a) = -897*a**2 + 66*a. Let p(r) = -4*j(r) + 33*n(r). Calculate z(p(c)).\nAnswer: 216*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003867 rounded to seven decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6930829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**13*i**(1\/13))**(-17) assuming i is positive.\nAnswer: i**(2635\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-256)\/1040 - (-26)\/(-169).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83978269?\nAnswer: 43, 67, 103, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1650 = 48*w + 5*w. Calculate the least common multiple of 891 and w.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42579 >= 42538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 8. Suppose -3*d + x = d. Find the first derivative of -4*v**2 - 4 + v**2 + 4*v**2 + d wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197881398 or 197881396?\nAnswer: 197881396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*o + 17, 3*j - 6*j - o = 8. Suppose 4*d + 2*q + 6 = 3*q, 0 = 4*q - 8. Let k = 5\/3 - 7\/3. What is the closest to k in 0.5, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/5 + 1733496*t\/5 + 187813023876\/5.\nAnswer: 4*(t + 216687)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + (5 - 1) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of -3 + (-6)\/4*(0 + -4082)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78038 + -24559. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94565763 less than 94565762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011111100 (base 2) to base 14.\nAnswer: -672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412 divided by 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let b(u) = -353923*u**2. Calculate a(b(d)).\nAnswer: -707846*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -151708 less than or equal to -2\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.79 - -0.313305548.\nAnswer: -12.476694452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14764353*h**3*q**3 + 889*h**3*q - 3153*h**3 - 2*h**2*q**2 wrt q?\nAnswer: 88586118*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/20*(-1 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/12 - y**3\/3 + 4*y**2. Let j(z) be the third derivative of -z**4\/12 - z**3\/2 - 3*z**2. Give -3*j(a) + 4*r(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n - 3*n. Let o = 11 - n. Calculate the highest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n**4 - 1\/70*n**7 + 0*n**3 + 5\/4*n**5 + 0*n - 191*n**2 + 0 + 3\/5*n**6. Factor c(z).\nAnswer: -3*z**2*(z - 25)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67)\/268*(-112)\/10)\/2.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 46 - 200)*(-o**4 - 2*o**2 + 2*o**2).\nAnswer: 158*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(((b*b**(-35))\/b)\/b))\/(b*b**(2\/55)*b) assuming b is positive.\nAnswer: b**(1978\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2553 and 621.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14279168 divided by 2.\nAnswer: -7139584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = -27*u + 105 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 9. Let r = -3 + l. Suppose -r*u = -21 - 54. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 300a65?\nAnswer: -300a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -411130 to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8264050 divided by 17398.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/90 - q**5\/60 - q**3\/3 - 5*q**2. Let k(h) be the first derivative of o(h). What is the units digit of k(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 64210, -1 in increasing order.\nAnswer: -5, -1, 64210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 38 - 13 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.337552 to 3 decimal places.\nAnswer: -0.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -549 + 535. Let w be 14 - 7\/o*-16. Solve -w = -3*b, -5*r + 4*b = -r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2471770 to the nearest 10000.\nAnswer: 2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38553*t + 5*h = -38551*t + 26, -13*t - 5*h = 94 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(171) - (1 + (sqrt(171) - (sqrt(171) - (sqrt(171) + -1)))))**2 - 3*(sqrt(171) + -2)**2) + -5.\nAnswer: -534 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -23. Let d = -0.77 - 0.13. Let t = d - -0.5. Sort f, -0.1, t in increasing order.\nAnswer: f, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 67 in decreasing order.\nAnswer: 67, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z - 1\/3*z**3 - 1\/30*z**5 + 2*z**2 + 0*z**4 + 0. Differentiate j(v) with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 + m**2 - 3*m + 5. Let b(u) be the first derivative of -u**4\/2 + u**3\/3 - u**2 + 4*u + 8. Determine 5*b(c) - 4*f(c).\nAnswer: 2*c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Let u(k) = k**2 - 5*k + 2. Let t be u(4). Let w = -5.036 - -0.036. Which is the smallest value? (a) w (b) -4 (c) t (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(48)\/sqrt(4)*1)\/(1*sqrt(16))*-6)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*z + 8 + 16, -3*l - 4*z = -46. Calculate the remainder when 528 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*y + 5*y - 13, s + 2*y = -3. What is the remainder when 13 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 77*k + 485. Let a be b(-5). Solve 106 = 4*l + 3*w + a, 4*w - 8 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39330 - -736319. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93543 + 1028985\/11. Factor 2\/11*x**2 + k*x + 16\/11.\nAnswer: 2*(x + 2)*(x + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-9) + 4 + 3\/((-54)\/(-30682)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -30, -5, -3 in descending order.\nAnswer: 3, -3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-u - 4*u + 4*u)*(1062 + u - 8*u - 1060) + 21*u**2 - 2*u**2 + 58*u**2 to c*u**2 + p*u + g and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 14) to base 15.\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {b: 2, a: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4027, 4071, 4151, 4273, 4443, 4667, 4951?\nAnswer: 5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.72738 micrometers?\nAnswer: 0.00000000072738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 47 = -39 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from {e: 1, r: 1, o: 1, d: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6052328 or 6052335?\nAnswer: 6052328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 28*i**3 - 9*i**2 + 4. Let j(g) = 7*g**3 - 2*g**2 + 1. Let b(d) = 9*j(d) - 2*z(d). Let a = 24 + -25. Determine b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14472039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-35))\/9*165718\/(-266)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*c + 14, -5*h + 4*c + 24 = 0. Find the second derivative of -12*t - 10*t**4 - 9*t**4 + h*t**4 wrt t.\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130586847 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.041 + 0.541. What is the fourth smallest value in 1\/6, c, 4\/5, -0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 12*r**2 - 106*r - 28. Let m = -270 - -288. Let a be h(m). Solve o = -a + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592456559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 17. Let v = -3 - -1. Let p(w) = w**2 + w + 1. What is the remainder when y is divided by p(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22087968247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2 + 154. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z*(z\/z**(1\/11))\/z))\/z**(1\/6))\/(z*z*z**(1\/4))**(1\/6))**12 assuming z is positive.\nAnswer: z**(-119\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4874 by 1204.\nAnswer: -2437\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 17. Let z be l(7). Solve z*a - 3 = 11*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(56\/(-560)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}