diff --git "a/data/dm_maths/full_data/10447_11255.jsonl" "b/data/dm_maths/full_data/10447_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10447_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d(r) = -10*r**2 + 25*r - 5. Let s(t) = -2*t**2 + 5*t - 1. Calculate -2*d(c) + 11*s(c).\nAnswer: -2*c**2 + 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/7 of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560470.\nAnswer: 2, 5, 41, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -118. Suppose -2*k = -n*k + 1197. What are the prime factors of k?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 8*v**2 - 814*v - 8*v**2 - 5*v**2.\nAnswer: -17*v**2 - 814*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5\/6 (b) -1\/6 (c) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 + 4*c**2 - 6*c - 1. Suppose 2*q + q = 9. Let w(f) = -2*f + 3*f - f**2 + 30*f**q - 29*f**3. Let k = -154 - -155. What is k*a(o) + 4*w(o)?\nAnswer: 2*o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 5*x - 2. Suppose 42*g + 12 = 45*g. Calculate i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*f + 45*f + 10. Suppose 4*n = -3*t + 29, f*n - 42 = t + t. Suppose 5214 = -2*j + n*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/10, 3, -12, -0.8, 1\/4, -0.046?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 2*h - 1. Let d be v(2). Suppose 5*k - d*z = 125, -3*z = -k - 4*z + 17. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4 + 12460\/(-38). Let p = y + 325. Which is the closest to 1? (a) 5 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0055590768 to 6 decimal places.\nAnswer: -0.005559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*y, -4*t + 0*y + 12 = -5*y. Suppose 2*q = -0*q + t. Suppose -3*v + 2*n = v - 14, -q*n = 4. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 1. Let x(y) = 6*y**2 + 5. Let u(a) = 5*f(a) + x(a). Let o(b) = -9*b**2. Determine o(u(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdx when three letters picked without replacement from xxdqw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011100 (base 2) in base 6?\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - ((-4 - -4) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1. Let q(j) = 488*j - 20 - 8 - 470*j. Let p(a) = -3*k(a) - q(a). Differentiate p(i) with respect to i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**8\/112 + 3*p**7\/70 - 9*p**6\/20 - 43*p**5\/10 - 111*p**4\/8 - 45*p**3\/2 - 61*p**2. Let o(w) = 0. Calculate w.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120225 and 57708?\nAnswer: 1442700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 20*j**2 - 15 - 5*j + 7*j**2 + 7*j**2 + 1. What are the prime factors of b(-3)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -36*m + 1. Let f(j) = 255*j + 136. Let y(c) = -f(c) - 7*r(c). Calculate y(-46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -59. What is the remainder when f is divided by (102\/4)\/((-39)\/(-26))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -1, -3, -2\/9, 5\/102, -5?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5388\/401 + 97339637\/4812. Let y = d - 20227. Calculate the common denominator of y and -45\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11111110101010111 (base 2) to base 14\nAnswer: 35739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five eighths of a microsecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/p)\/p**10 assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -643, -2067, -3429, -4699, -5847, -6843, -7657, -8259?\nAnswer: -8619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -153366, -153348, -153320, -153282, -153234, -153176?\n\"Answer: 5*i**2 + 3*i - 153374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let j = 2514 + -2514. Let f(l) be the second derivative of 6*l + 5\/2*l**3 + j + 0*l**2. Calculate f(m(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15134, -39806, -80934, -138524, -212582?\nAnswer: -303114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3684080851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -4. Suppose -3*j + 13 = -20. Let n = j - w. Solve -2*r + 14 = n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18898\/3 - -6302. Let n(w) be the second derivative of 0*w**2 + 0*w**4 + 0 + m*w**3 + 17*w + 9\/10*w**5. Find the second derivative of n(f) wrt f.\nAnswer: 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + p + 17 = -0*p, 3*p - 17 = -5*c. Suppose -4*y + 49 = 1. Find the second derivative of -5*b**5 - 3*b - 249*b**c + y*b + 249*b**4 wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1164 - 3385*u + 11879 - 371 wrt u.\nAnswer: -3385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170310535 less than 28915.8?\nAnswer: -170281619.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.2 + -2. Let w = v + -2.56. What is w rounded to 1 decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16)\/((-2)\/(-8))*210\/61005*7?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245114*p + 130 = -1245101*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 7*w**2 + 2*w - 10. Let k be v(7). Let h(m) = 3*m**2 - k*m**2 + m**2 + 2*m**2. Let p(o) = -3*o. Give h(p(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-271)\/7 + 4\/14*-1. Let t = b + 33. Does 7 divide 1 + 41 + 2 + (-12)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -78. Let s(d) = d**3 + 6*d**2 - 4*d - 2. What is the remainder when s(-5) is divided by (14\/(-21) + -3)\/(2\/t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 991558138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/v**(-1\/3))\/v)\/v**(2\/11))\/(v**(3\/8)*v\/(v*v\/v**7*v))*(v\/(v*v\/v**(-1))*v)**34\/((v*v**3)\/(v**(4\/5)\/v*v)) assuming v is positive.\nAnswer: v**(-53359\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x**2 + x - 9. Let a(z) = 2*z**2 - z. Determine a(t) - y(t).\nAnswer: 11*t**2 - 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053261 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -13*z**4 + 8*z**3 - 1. Find the third derivative of u(j) wrt j.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2220 - 2216. Put -0.1, 2\/9, -0.069, o in decreasing order.\nAnswer: o, 2\/9, -0.069, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(4 + (-1 - 8)). Suppose x = -3*p - 6, -5*x + r*p + 17 = -13. What is the units digit of (x - 0)\/((-9)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/8 (b) -1.8 (c) -2\/551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -57*c - 9. Let q be i(-7). Is (q\/(-25))\/(2\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 10*c - 3. Let a(p) = -52*p**2 - 27*p + 5. Let n(f) = 44*f**2 + 26*f - 3. Let w(j) = -5*a(j) - 6*n(j). Calculate 2*w(m) - 5*y(m).\nAnswer: 2*m**2 + 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -0.025877.\nAnswer: -0.125877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziiiiciiccnn. Give prob of picking 3 c.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asssssassaaaissassi. What is prob of picking 2 i and 2 a?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -259325114194 + 1883.\nAnswer: -259325112311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 547 + -448. What is the lowest common multiple of r and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 36 = -10*x + 9*x - 2*x + 12*i, 0 = x + 4*i - 22 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 9, b: 1, f: 2, m: 5}. Give prob of sequence fm.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 2. Suppose -28*i = -24*i - 8. Suppose -4*g - 32 = -4*m, 7*g = -i*m + 2*g + 2. Let f(z) = 12*z - 11. Give m*f(q) + 34*w(q).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 61*k**2 + 31 + 36.\nAnswer: 61*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w + 17. Let x(d) = -12*d - 20. Determine -5*l(c) - 4*x(c).\nAnswer: -7*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*p - 5 = 0, -v + 13 = -3*p + 20. Let o be ((-510)\/90*(1 + 20))\/v. What is the greatest common factor of 85 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*z**2 + 0*z - 308 + 305 + 0*z as c*z + p*z**2 + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70459337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 + 14 = 0. Solve 2*g = -3*i + 3, 3*i - 8*i = g + c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - a**2 + (4*a - 6*a + 0*a)*(4*a + a - 3*a) - a**2 + 2*a**2 + 0*a**2 + 1 - 1 - 5*a**2 + 3*a**2 - a**2 - 3*a**2 to u + b*a**2 + z*a and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.9, -2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 356.668 minutes?\nAnswer: 21400.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3699997 + 0.37. What is n rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -54, -7, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 32*l**2 - 144*l.\nAnswer: l*(l - 36)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = 0, -3*d = -0*d - u + 86. Let k = d - -29. Suppose 30 = r + 4*p, 4*r + 3*p - 68 = -k*p. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 1128 + 7576. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d = -48*d + 180 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1172 or -1387?\nAnswer: -1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rowwgnm. What is prob of picking 1 m, 1 g, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**6\/120 + u**3\/3 - 3*u**2. Let d be y(0). Find the first derivative of 2*j**2 - 1 + 4*j**2 - 5*j**d wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -7*l + 34, -10*i + 13*i - 22 = -4*l. Factor -24\/5*f**i + 6\/5 - 66\/5*f**3 - 3*f**5 + 9\/5*f - 54\/5*f**4.\nAnswer: -3*(f + 1)**4*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 2. Let k be d(-1). Suppose 0*s = -k*g - 2*s + 158, 2*g - 5*s - 80 = 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by (32\/(-24))\/((-8)\/198)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/3 + 5990*i**2\/3 - 975650*i + 131313750 = 0.\nAnswer: 285, 2425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/12 + 24875*u**3\/12 - 723057*u**2\/4 + 62954737*u\/12 - 304399109\/6 = 0. Calculate u.\nAnswer: -24962, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) + (-204)\/(-16). Let f(z) = 1 + n*z - 6*z - 1. Let d(w) = -2219*w**2 + 4437*w**2 - 2222*w**2. Calculate f(d(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*p - 39*p - 3*p**3 + (2*p - p - 3*p)*(-3*p + 4*p - 7 - 3*p**2 + 5) as n*p + r + v*p**2 + b*p**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from lfldddfddddfl.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqdqjdqjjqqwwqhhqw. Give prob of sequence hdd.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 33, -5\/3, 1\/185, -0.2?\nAnswer: 1\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/24 - (-62)\/12. Suppose -u*p + 5*b + 10 = 0, 0*p = p - 2*b - 2. Find the third derivative of -3*x**5 - x**2 - p*x**5 + 3*x**5 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*w + 5. Let k be -9*(2\/w)\/(-6). Let u = -499\/4 + 124. Put u, 1\/2, k in ascending order.\nAnswer: u, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/11 + -1\/22. Let w(y) be the second derivative of -t*y**3 - y + 3*y**2 + 0. What is w(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1210301\/3137940 + -1\/9685. What is the common denominator of w and 25\/6?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, f: 3}. What is prob of sequence ff?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131.004 * -8\nAnswer: 1048.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(15\/(-10))*(-113 - -108)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57553\/560 - -3588\/35. Let w be 207\/(-432) - 1\/(-6). Let x = w + b. Which is greater: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 986 and 4?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 2\/15, 0.0437, -81.7, -1\/3, -0.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 63*c**2 - 48155*c + 17566. Give u(764).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9\/64 - -43\/1216. Put 0.4, -3\/5, c in decreasing order.\nAnswer: 0.4, c, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -4, -2\/67, -0.8, -3, 0.4?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 + 8*k + 66 + 66 + 94.\nAnswer: 8*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w + 22. Let j(t) = 5*t + 11. Let i(q) = -3*d(q) + 5*j(q). Let s(x) = -4*x - 6. Determine -6*i(c) + 11*s(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 4*p + 2*p + 2*p - 2*p - 2*p + (2 + 1 - 4)*(2 - p - 2) - 2*p - 4*p + 4*p + 263*p - 21*p - 13*p.\nAnswer: 224*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgangggnnapgn. Give prob of sequence apag.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9, -8, -5, 0.2, -1\/17416, -2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30924046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 6:36 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 150. Suppose 458 = 11*z + d. Calculate the remainder when 68 is divided by z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 2, l: 3, q: 6}. What is prob of sequence qqv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.256 + 0.256. What is the nearest to l in -0.07, 5, -4, 2\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.31 and 0.019.\nAnswer: 0.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1)*1 - -2. Let y = h + 3. Does 7 divide 22 + (-3*y - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-30)\/(-16) - 2\/16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -3, -5943 in increasing order.\nAnswer: -5943, -3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -15*p**3 - p**2 + 12*p + 11. Let x be w(-1). Solve -r - 3*h = 5, 0 = 2*r - 11*h + x*h + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 - (-22 + 11 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**6\/6 - 3*m**4 + 11*m. What is the third derivative of r(k) wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*b = 1919, -5*b + 928 + 503 = 3*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 16 - 93. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 137 - 74. Let i = -4 - 16. Let j = o - i. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -17. Suppose 3*q - g*q = -6. Calculate the highest common factor of q and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u + 1. Let m be p(-3). Let r = 0.07 - -0.13. Do m and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 43, 99, 189, 325, 519, 783, 1129?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 = -5*q + 23, 3*q - n = 6. Let m be ((-1)\/q)\/((-3)\/45). Solve -m*w - 3*a = -3, -w + 3*w + 4*a = 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 6*h + 63)*(-2 + 2 + 4*h) + (-2*h + 6*h + h)*(-2*h - 2*h + 2*h).\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14464 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (-2 + 1 + sqrt(13) - sqrt(325)*-1))*2*-3)**2.\nAnswer: -3456*sqrt(13) + 67968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 792 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 55*g - 266. What is c(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + 4*j**4 - 3*j**4)*(-3*j + 3*j + j) + 2*j**5 + 0*j**5 + 7*j**5 + 1896*j**4 - 1896*j**4 - 2*j**5 - j**4 + 3*j**5 + j**4.\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12206947*w**2 + 2 - 2 - 1.\nAnswer: -12206947*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 7, 3\/5, -3\/4, -25 in decreasing order.\nAnswer: 7, 3\/5, -0.5, -3\/4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x**3 + 2*x**2 - 10*x**3 + 25*x**3 + 34*x - 55*x + 3 to the form q + o*x**3 + h*x + d*x**2 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0862 rounded to three dps?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 746.1 - 750. Put 0.2, 4, q, -3\/7 in descending order.\nAnswer: 4, 0.2, -3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2013)\/9394 - 31\/(-112)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/110 and 1\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 39.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(325))*3 + 4)*-1)**2.\nAnswer: 120*sqrt(13) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 65 = -5*b, 3*q + 2*b = -27 + 80. Suppose 2*w = q*w - 2028. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -24. Let g = 51 - b. Let s = -26.99999919 + g. What is s rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - 44\/57. Let b be 6\/5*5\/45. Let j = -53\/60 + b. What is the closest to 0 in j, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 + 2.4. Let x = -2 + -3. What is the third smallest value in x, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2520945.\nAnswer: -12604725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -245\/3 - -81. Let q = l - -1\/3. What is the common denominator of q and 12\/(-24) - 83\/22?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - 9*q + 6. Let h(d) = -4*d**2 - 10*d + 7. Let k(z) = 5*a(z) - 4*h(z). Determine k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-90) + (-154)\/(-30). Solve -3*z = j*n - 2*n - 18, 3*n - 23 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 + 0.15. Let v = -3.91 - n. What is the closest to -1 in 1, v, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2772 and 10857.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9 - 3 - 5 + 3 + 3*m. Let w be l(5). Suppose -2*n = n - 6. Which is the closest to n? (a) -3 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 4.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1868 + -1083. Let w = t - 784.9. Does -85 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001495 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**2 + 12703*q - 25249?\nAnswer: 4*q + 12703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 107211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -502*r**3 - 6*r**2 + 32*r + 39. Calculate s(-1).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3456 and 6?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*q**3*w**3 - q**3*w + q**3 - 9*w**2 + 19 wrt w.\nAnswer: 630*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m**2 - m**2 - m**2)*(5*m - 3*m - 19*m) + 3*m**3 + 24 - 24 as k*m**2 + r*m + l + s*m**3 and give s.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6830379965 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26041 + 8595 + 11*t + 8725 + 8720.\nAnswer: 11*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h + 4*b - 88, 0 = -3*b - 6. What is the highest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + 0*(-3)\/(-9). Suppose -x + 2*x - z = -2*s, -s = 2*x - 18. Calculate the least common multiple of (x\/(-4))\/(1\/(-5)) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 1 + 6 = 43*o, 4*o = -o + 5*y - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -67, 30, 20, -2 in decreasing order.\nAnswer: 30, 20, -2, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 9 = 9*p. Suppose -15 = -2*o + p*w, w = -5*o - 4*w. Let y be 3 + (-1 - -1) + o. Calculate the greatest common factor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 2. Let r(f) = 12*f**3 - 184. Calculate -2*r(q) + 22*v(q).\nAnswer: -2*q**3 + 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377376.7 nanograms to grams.\nAnswer: 0.0003773767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 6*b. Let a(f) = -f**2 + 3*f. Let l(d) = -2*a(d) + p(d). Let g(r) = r**2 - 88*r. Determine l(g(x)).\nAnswer: x**4 - 176*x**3 + 7744*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -839, -824, -809, -794, -779, -764?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -17. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -91, -734, -2407, -5608, -10835, -18586?\n\"Answer: -83*k**3 - 17*k**2 - 11*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/31*8967\/(-854). Which is greater: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190842944 <= 190842944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzzh when four letters picked without replacement from hzzhzzz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 44*h**2 + 39*h + 4. Let j(p) = 89*p**2 + 84*p + 8. What is 6*j(s) - 13*x(s)?\nAnswer: -38*s**2 - 3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -2, -0.3, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*l + 115. Calculate the remainder when ((-16)\/5)\/((-3)\/l) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 434.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**6 + 0*u**4 - u**2 + 0*u + 0*u**7 + 1\/336*u**8 + 0 + 0*u**3 - 1\/60*u**5. What is the third derivative of t(p) wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m + 32 - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2977 is divided by 130?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 9. Let g = c - 4. Let s = -12 + g. Solve 4*h - 16 = -s*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (5*sqrt(66)*1 - sqrt(66))\/sqrt(96).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40491 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*b = 0. Let m be ((b - 0) + -2)\/(-1). Suppose 0 = -5*i + 5*v + 10, v + 4*v = 3*i - 4. Solve i = -m*o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 5*v, -3*v + 5 = r - v. Let g be (-2 + 2)*-1 + 0. Suppose g = -r*n + 181 + 59. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 8 = q - 4*r, -4*q - 5 = -3*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1298*p**3 - 6*p**2 - 49*p - 46. What is s(-1)?\nAnswer: 1295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 4*k + 12. Is r(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15137*r**2 + 0*r**3 + 6*r**3 + 4 - 15139*r**2 + 3*r**4 in the form b*r + i + u*r**2 + g*r**4 + t*r**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222002001 - -21221?\nAnswer: -10221210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let p = -217 - -310. Suppose p = 3*j + 81. Solve h*o = -o + j*g - 18, 0 = -o - 4*g + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042311 to 6 dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llvv when four letters picked without replacement from {v: 3, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 3*m**2 - m + 1. Let z be q(-3). Suppose -s + 145 = 140. Suppose -299 = -t + z*k, 5*k = s + 5. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 6. Suppose -2*z - 9 = -z - 3*m, -w*z + 3*m + 3 = 0. Solve 15 = -z*k + 3*i, -2*i + 0 = 3*k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(4\/7)*k)\/(k\/k**(3\/5)))\/((k\/(k*k**(-3\/7)))\/(k*k*k\/k**(-3\/5))))\/((k**2)**44)**(7\/5) assuming k is positive.\nAnswer: k**(-832\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 5*l + 31 = 0, 0 = -2*v + 5*l - 29. Let f be 6 + v + -9 + 0 + 0. Which is bigger: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/38350 and 109\/1251250.\nAnswer: 73823750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74*(72\/(-16))\/(-9). Let t(q) = 90816*q - 192. Let b be t(o). What is b rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {o: 2, i: 7, v: 7, q: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 3802 = 11*c + 3*d, -2*c + 2*d + 7556 = 0. Does 164 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*m**4 - 21*m**5 + 88*m**4 - 2*m**3 + 1 + 9*m wrt m?\nAnswer: -420*m**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x + 11. Let h(b) be the third derivative of 5*b**4\/24 - b**3 - 11*b**2 - 18. Calculate 9*h(w) + 4*s(w).\nAnswer: w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -664 or -669?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 5*y - 5*y)*(-95 + 223 + 163) as q + c*y and give c.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(42\/15))\/(250\/600)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**2 - 9*f + 1. Let c be x(2). Let h be c\/(77\/130)*7. What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101000111000 (base 2) in base 16?\nAnswer: -2a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184768 and 230960.\nAnswer: 923840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*b + 6, j - 13*b = -11*b - 4. Solve 3*s + f - 4 - 1 = j, -4*s - 5*f = 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/2 (b) 3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -121, -61, 19, 125?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13145, 26469, 48677, 79769, 119745, 168605, 226349?\n\"Answer: 4442*t**2 - 2*t + 8705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 994 and 4606?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137534972 rounded to 5 dps?\nAnswer: -0.13753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -431*b**2*o*t + b**2 - 391*b*o*t + 296*o*t + 586*o + 2 with respect to b.\nAnswer: -862*b*o*t + 2*b - 391*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/7)\/(((-52)\/156)\/(1\/123))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.10863 + -2.10863. Let a = 6 - 12. Let q = 4 + a. What is the nearest to 5 in q, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 359160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832049803.\nAnswer: 13, 64003831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169840 and 440.\nAnswer: 169840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(1053))**2*-3.\nAnswer: -113724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002212002 + -12?\nAnswer: -1002212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 48. Determine r(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (312\/1664)\/(3*(-4)\/48)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-245)*-5)\/((-12)\/(-42))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4)**(19\/3)\/(u\/u**(5\/3))**(-49) assuming u is positive.\nAnswer: u**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, n: 6, u: 1, b: 1, y: 3, a: 1}. What is prob of sequence bnn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.2 + -11554.\nAnswer: -11560.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -24. Suppose -2*p + 312 = 4*k - 0*p, -8 = 2*p. Calculate the remainder when k is divided by 28\/(-5)*(-9)\/(45\/o).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(0 + 2\/4). Suppose v*a + 10 + 14 = 0. Let u be (-4)\/(-6)*(-9)\/a. Solve -4 + u = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*r + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*v + 10 = r - 114*v, -2*r + 15 = 5*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6444272?\nAnswer: 2, 402767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62478.83 nanograms in grams?\nAnswer: 0.00006247883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511507835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -51 - 399134\nAnswer: -399185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/12 + (62 - 3). Let c be (10 + 0)*(4 + 0). Let k = n + c. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*h**2 - 86*h**2 + 40*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v = 120*v + 26*v + 7808 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 6:23 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) - (-9472)\/4144. Sort 186, v, -15.\nAnswer: -15, v, 186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-525)*77 + (-9)\/15. Let p(o) = 8*o + 5. Let l(h) = h - 1. Calculate i*l(s) - p(s).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -75\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 322, 254, 168, 64, -58, -198?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1637*p + 46048*p**2 - 1637*p - 13334*p**2.\nAnswer: 32714*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*x - 151*x = 69*x + 4039 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(500) - (sqrt(500) - (sqrt(500) + -2 + sqrt(500))*6))**2 - (5 + sqrt(500) + 0)**2).\nAnswer: -5960*sqrt(5) + 143238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2377 + 2360 + (1 - -83)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjjmmxxszsnxxx. Give prob of sequence xsm.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 26. Suppose 48*t - 2 = 49*t. Let z(k) = -5*k**2 - 130. Calculate t*z(q) + 11*i(q).\nAnswer: -q**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 - 10. Let h be 4\/((-72)\/(-45))*(-8)\/10. Let r be q(h). Solve 4*g + r*x = -12, 3*g + 3*x - 2*x + 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3065, 3060, 3043, 3008, 2949, 2860?\n\"Answer: -r**3 + 2*r + 3064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-5)\/(-6)))\/(((-34)\/85)\/((-726)\/165))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6952013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 + (-5)\/4 - -11)*1\/(-2). Put -2\/3, q, -2, 0.13 in ascending order.\nAnswer: -2, -2\/3, q, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 42\/17, -50, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4027904 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.06515 - 0.00385. Let c = 0.069 + i. Sort -2\/7, c, 2, -1\/9.\nAnswer: c, -2\/7, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1391, 3, 165, -14 in decreasing order.\nAnswer: 1391, 165, 3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16*n - 94. What is j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/1240?\nAnswer: -9\/1240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*a = -16, 166*z - 170*z + 3*a = -21 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/(-1860)*(-1)\/1.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 31*z - 35*z - 17 = 0, 0 = 20*r - 235*z + 237*z - 44 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s**2 + 52*s**2 - 14*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (486\/(-153) - (1 + -4))\/((-246)\/(-164))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 1, n + 3*n = 4*h + 140. Let a = -3296 + 3422. What is the greatest common divisor of n and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3, 45 = -3*z - z - x. Let w = 10 + z. Let a = w + 6. Calculate the greatest common divisor of 25 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*k**5\/3 + 44*k**4 - 304*k**3\/3 + 76*k**2 - 40*k\/3 = 0. What is k?\nAnswer: 0, 1\/4, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22416 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3451519.\nAnswer: 53, 65123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/216)\/(43\/3225).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 + 92. Let c(k) = 4*k**2 + 84. What is -5*b(w) + 6*c(w)?\nAnswer: -w**2 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 64 - 114 - 26 + u as y + x*u and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let j(w) = 81*w**2 + 12*w. Let d(b) = -162*b**2 - 26*b. Let r(v) = 6*d(v) + 13*j(v). Calculate r(m(z)).\nAnswer: 81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 + (-2 + -73 - -12)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 9*j**2 - 5*j + 39. What is k(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (0 + sqrt(832))**2)*2.\nAnswer: -1664 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -67976 divided by -1\nAnswer: 67976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/8 + 1\/8. Let i(a) = a**3 - 2*a - 1. Let u be i(-1). Suppose u = 3*n - 7*n. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/420 + 29*u**6\/120 - 221*u**5\/120 + 17*u**4\/3 - 9*u**3 - 35*u**2. Factor d(o).\nAnswer: -(o - 54)*(o - 2)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1941, 2207, 2471, 2733?\nAnswer: 2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50b3 + 11d7?\nAnswer: -3cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/9 + 50*b**3\/3 - 5429*b**2\/9 = 0?\nAnswer: 0, 61, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-7 - -6))\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*j - 32*j = 308. Factor -12\/7*u**j + 0 + 3\/7*u.\nAnswer: -3*u*(4*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**3 - 13*o**2 - 27*o + 78. Give i(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85530 and 42765?\nAnswer: 85530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 142275 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*82.4\nAnswer: 32.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**2 + 0*x**2 - 3698*x**3 - 2*x + 7*x + 2*x - 2*x - 43 wrt x.\nAnswer: -22188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(425) + 3)*6)**2.\nAnswer: 1080*sqrt(17) + 15624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7694.6 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mma when three letters picked without replacement from wmam?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(-3 + 2 + sqrt(1539) + -6*(sqrt(1539) + 2 + sqrt(1539))))**2.\nAnswer: 40392*sqrt(19) + 2982105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 2*y)*(1 - 3 + 4) + 28 - 28 + 33*y + 0*y - 4*y + 3*y - 7*y + 18*y - 5*y - 3*y + 4*y - 3*y + 3*y - 4*y - 3 + 6.\nAnswer: 33*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 13)*1*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*l + 2. Suppose 0 = 4*g + 20, 0 = -0*b + b + 5*g + l. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 1 - 2\/5*m**2 + 0*m - 2\/5*m**4 - 2\/3*m**3 - 2\/25*m**5. Suppose w(i) = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42392*n**4 + 32584.\nAnswer: 169568*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*p - 4*x, -25 = -3*p - 2*x + 44. Suppose -3*o = -2*g + 21, -p = -3*o - 10. What is the remainder when 25 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 3*m**2 - 3*m - 6. Give v(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -91638*u. Let z(l) = 13*l. Determine z(w(g)).\nAnswer: -1191294*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j - 5. Suppose -j*g = 5*l - 65, -2*l - 7 = 2*g - 37. Suppose g*k - 8*k = 10. Solve 3*c - 3*y = -8*y + 22, -k*c - 4*y + 15 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/6, 3, -8, 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x. Let j(l) = 657*l. What is j(b(g))?\nAnswer: -1314*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - p - 4*p + 24 = 0, 5*b - 5*p = -30. Let w be (-3)\/(-3) - (b - 3). Suppose 26 = -3*i - w*v + 6, -12 = 3*v. Solve 0 = -a - i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -71*y - 53. Calculate a(-3).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863 a factor of 494844471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6125 and 12075?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -111. Let r be ((-60)\/25)\/(b\/30). Solve 6*a - r = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 166, -16 in descending order.\nAnswer: 166, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -972, -1947, -2918, -3879, -4824, -5747, -6642, -7503?\n\"Answer: r**3 - 4*r**2 - 970*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Let u(o) = 257*o. Determine f(u(c)).\nAnswer: -514*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 73*v**2 + 72*v + 38. Let j be y(72). What is the closest to 0 in 4, j, 1, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4 - 7*y + 4. Let o(u) = 6*u. Let x(b) = 3*l(b) + 4*o(b). Let g(q) be the first derivative of q**2 + 1. Determine g(x(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 515 = 150. Let k = g + 84. Let j = 37\/3 + k. What is the closest to -0.1 in j, 2\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 327 - 324. Does 65 divide v + (554 - (-8 + 5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1352 and 1\/756.\nAnswer: 255528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 21*r**2 + 3*r**3 - 3*r + 1 - 10*r**2 - 11*r**2. Let z be a(2). Suppose 4*y + z = 83. Calculate the remainder when 31 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (1*sqrt(104) + sqrt(104)))*3*-5)\/(sqrt(72)*2 + sqrt(72) + (-2*sqrt(88))\/sqrt(11)))**2.\nAnswer: 2925\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*o + 697 + 3736, 2*a - o - 2209 = 0. Suppose 0 = -9*n + 10273 - a. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d3b07d (base 14) to base 2.\nAnswer: 110111111100110000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*464\/2610*6\/(-20).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109 - a**2 + 2035*a**3 - 1102*a**3 + a**2 wrt a.\nAnswer: 2799*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18088\/85)\/(-28))\/(6\/(-15)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3216 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -54. Calculate the lowest common multiple of i and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-3 - (2 - 22)). Let o = r - 19. What is the closest to o in 1, -3\/2, -0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 364 + -3?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, -1\/3, 0.02.\nAnswer: -1\/3, 0.02, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 507289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 5*o - 15. Calculate g(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 0.3, -4\/7, -2\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 118710 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2 - 11*y + 7. Let b be g(-3). Let w(p) = 3*p**3 + p**2 - p - 8. What is the tens digit of w(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7288740.\nAnswer: 2, 3, 5, 40493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(44)\/(2*sqrt(4))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1235289 and 1804.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/22644 and 115\/1788876?\nAnswer: 1788876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/((-442)\/247) + (7 - 73)*1?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15832 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4276 - -4701. What is the lowest common multiple of j and 255?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.2. Let y = 1.447 + -1.61. Let p = -0.263 - y. Sort p, 0.6, u in increasing order.\nAnswer: u, p, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -5 (c) 11\/3 (d) 1 (e) 0.4 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2657723.\nAnswer: 31, 85733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, o: 1, d: 3}. Give prob of picking 1 d, 1 n, and 1 u.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/((-194880)\/261) + (-1030)\/(-28).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwfyyawwgfagrarafr. What is prob of picking 1 w and 1 r?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5790 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*c = 20*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - 105\/60. Suppose 2*n + 0 = 6. Let a = n + j. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.184214s?\nAnswer: 1184214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)*t*t\/(t\/(t\/t**0*t))*t**5\/t**(1\/3))\/((t**(-1))**(1\/40)\/((t\/(t\/t**(-4)))\/(t**(-2\/9)\/t))) assuming t is positive.\nAnswer: t**(1529\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 9*k + 1. Let c(q) be the second derivative of q**3\/6 - 3*q. Let b(a) = -4*c(a) + j(a). What is b(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 59*h + 30. Determine m(-11).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 4 (b) 10 (c) -1 (d) 3 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + u = -4*c + 13, 2*u + c = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1.8, 5, -0.5 in descending order.\nAnswer: 5, 3, 1.8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + b + 71 = -u, b - 97 = -4*u. Calculate the remainder when 12 - (-1 + -2)*67 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*a - 162 wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3 + sqrt(51)\/sqrt(3) + 3*sqrt(833))**2 + (sqrt(425) - (sqrt(425) + sqrt(425) + -1 + 5)**2)*2.\nAnswer: -288*sqrt(17) + 5570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.211 - 84.489. Let a = 20.8 - v. Let j = 99 - a. Round j to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3092 - 1634. Let t = n - 1458.3. Let y = -4 - -8. Which is the second smallest value? (a) 12 (b) y (c) t (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3076*f**3 - 6*f**2 - 2 + 58*f**2 - 3126*f**3.\nAnswer: -50*f**3 + 52*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = -140. Let w(s) = s - 8. Let u be w(18). Calculate the greatest common factor of u and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.839263858 rounded to 2 decimal places?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 18*q**3 - 14*q**3 + 0 with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185906 and 312109616?\nAnswer: 2184767312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87893*r - 64400 wrt r.\nAnswer: 87893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -2*k - 2*k - 3*f, 5*k = -f + 210. What are 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 nearest to -42 in -7, -2114, 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -46 - 488445\nAnswer: -488491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2780 and 2560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 15. Let i be h(-5). Suppose -4*g + 348 = 4*l, -2*l + l + 5*g + 87 = i. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3408 + -3117. What is the remainder when h is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19163 or -19164?\nAnswer: -19163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + (-2 - (3 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 - 7*d + 2*d**2 + d**3 + 30887 - 30887 to f*d**4 + k + o*d**3 + a*d + v*d**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itptpbstt. What is prob of sequence tp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -163, -647, -1453, -2581, -4031?\n\"Answer: -161*s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 136 (c) -0.134 (d) -0.2 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Let y(c) = 2*c - 252. Determine n(y(t)).\nAnswer: 2*t - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + 3 = u, 0 = 2*m. Suppose -3*h + 5 = -3*l - 2*l, u = -3*h - 3*l. Let q = -736 + 742. What is the nearest to 1 in h, q, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.5 (c) -1\/7 (d) 8289 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2710 is divided by 1344?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-1\/4)*a*a*a*a)\/a)\/a)**(-1\/37)\/(a**(-2\/9)\/a**(5\/4)))\/((a**(-4)\/a)\/(a*a\/(a**2\/a))*(a\/a**(-2\/5))**(-48)) assuming a is positive.\nAnswer: a**(248501\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 177158 * 1.57\nAnswer: 278138.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 885379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 - 6*d + 1. Let b(v) = -7*v**2 + 7*v - 1. Let u = 25 - 19. Calculate u*b(s) + 7*w(s).\nAnswer: 7*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, l: 8, e: 1, o: 2, a: 7}. What is prob of picking 3 a?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 329, 550, 813, 1130, 1513, 1974, 2525?\nAnswer: 3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1495*c = -931*c + 6204 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33d7 (base 16) in base 4?\nAnswer: 3033113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/4 - ((-15)\/12 - -1). Sort -3, 5, k in increasing order.\nAnswer: k, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2181968 is divided by 2755.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031562 less than -88009878?\nAnswer: -88009877.968438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69530, -69500, -69470, -69440, -69410?\n\"Answer: 30*z - 69560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19592327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 13*h**3 - 16*h**2 + 4*h. Let o(m) = 13*m**3 - 17*m**2 + 5*m. Let s(c) = -4*o(c) + 5*z(c). Find the third derivative of s(n) wrt n.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-2\/3)\/l)\/l)*l**(2\/11))\/(l\/(l**0*l))**(2\/75)*((l*l\/(l*l\/((l\/l**(-2\/7))\/l)*l))**(-30))**31 assuming l is positive.\nAnswer: l**(154339\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*s + 305, -82 = 2*s + m - 213. Let n(z) = -34*z**2. Let b be n(1). Let p be b\/(-4) + 3\/6. Calculate the highest common factor of s and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38059.434 minutes?\nAnswer: 3.7757375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/9 - 2*n**3\/3 - 2*n**2\/3 - 2*n\/9 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737*m + 1264 + 947 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 4, z: 2, u: 1, t: 1}. What is prob of sequence mtou?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5\/4, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10318 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 13*q**2 - 3*q - 18. Let k be z(-13). Suppose k*d + 10 = 16*d. Let m(u) = -u**3 + 2*u**2 + 3*u + 1. Calculate m(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) -10 (c) -0.01 (d) -5 (e) -2.6 (f) -2\/3 (g) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:38 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000100001001101 - 10?\nAnswer: 1101000100001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 652*n*u**3 + 6*n*u**2 + 6*n*u + n + 45*u**6 - 45*u**2 wrt u?\nAnswer: 3912*n + 5400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 62541*z + 1 - z**2 + 2*z**2.\nAnswer: z**2 - 62541*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1c6 (base 13) to base 7\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**5\/20 - x**4\/12 + x**3\/3 + 89*x**2\/2 - 4*x. What are the prime factors of r(0)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/20 - o**4\/2 - o**3\/2 + 3*o**2 + 5*o. What is the units digit of r(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -6 + 28 + -9 + (0 - 1 - 48)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9215313?\nAnswer: 3, 587, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-27)\/(-9))*2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(2) + -4 - (sqrt(16)\/(sqrt(24)\/sqrt(3)))**2.\nAnswer: -6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(4\/6 + 0). Suppose -z + b*o = 3*z, 5*z = -2*o + 28. Let h = 20 - z. What is the greatest common divisor of 64 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15062\/9 <= -1673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 456*b + 682634 = 455*b, 0 = -2*b + 12. Round c to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 4*z = 34. Let c = -33.1 + 29. Let f = -4.4 - c. Sort z, 4, -5, f in ascending order.\nAnswer: -5, f, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y + 2 = 0. Let d(i) = 4*i**2. Let j be d(y). Let s = 16 - 6. Solve t - s = -j*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6087*n**3 - 2446*n**3 - 3372*n**3.\nAnswer: 269*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2924)\/(-10) - 12\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 39 = -2*w, -1322*x = -4*w - 1318*x - 88 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Suppose 89 = q*v - 7. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20877551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, 51, -222, 28, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:54 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -699049 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 4*o**2 - 4*o**2 + (-3*o - 3*o + 4*o)*(-o - o + o) + (o - 5 + 5)*(140 + 32*o - 140) to the form k*o + s + y*o**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -17*p. Suppose q = -2*l + 5, 2*q - 2*l + 2 = 6*q. Is p + q + (-36)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*v + 7*v + 5643. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5 = 3*l + t, 3*t = 2*l + 15. Let u(s) be the second derivative of -s + l + s**2 - 1\/3*s**4 + 0*s**3. Differentiate u(o) with respect to o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:56 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2*5\/30). Suppose n*i + 15 = 15*i. Solve 3*x - 4*x = -i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -30. Solve 3*f - f = -z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-3)*-2*6186\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + -4*(-3 + (sqrt(11) - 3*sqrt(11))) + 5 + -4).\nAnswer: 15 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-2)\/(-5) + 290\/50)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4189557136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - c?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s**3 + 5. Suppose 13*q - 24*q - 30 = 25. Let w(c) be the first derivative of -11*c**4\/2 - 7*c - 29. What is q*w(t) - 7*p(t)?\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3481479 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -8. Let h be 66\/b*1*-3. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, 133358\/15.\nAnswer: -5, 2\/7, 133358\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26909844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75724 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 15*k**2 - 100*k - 28. Give l(-20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = -3*h + 21, -3*a = -h - 25. Suppose 5*d - 2 = a. What are the prime factors of (-3)\/(-3)*(13 + d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 10*n - 8. Let t be w(9). Let y(p) = 9*p**2. Is y(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0154 - -0.0154. Sort 167\/3, 2, -3\/2, m, 4 in increasing order.\nAnswer: -3\/2, m, 2, 4, 167\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114788815 divided by -155.\nAnswer: 740573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 9:30 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 4*v + 2. Let g be m(4). Let q = g - 0. Solve q*n + 3 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2284 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*l + 71*l + 576 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 1430 = 1514 - 428. Solve n*o + 2 = 149*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1567*f**2 - 4404*f - 113441894 wrt f?\nAnswer: -3134*f - 4404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 795541\nAnswer: 7\/795541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**5\/40 - r**4\/6 + r**3\/3 + 1. Let g(p) be the third derivative of m(p). List the prime factors of g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*-58*(-3)\/(-261).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1510880 and 110656.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*w - 384*w - 208 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b + 2. Let t be (6 - 108\/24)\/(27\/(-18)). Let i(h) = -h**2 - h - 1. Determine t*d(y) - i(y).\nAnswer: 2*y**2 - 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.28 + 0.72. Sort -8, 1\/15, n in descending order.\nAnswer: n, 1\/15, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27844\/11 + -2534. Which is bigger: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48991, -48648, -48305?\nAnswer: -47962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6067127629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12321 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60378 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 + 62 - 10)*(-2*w**2 + 0 + 0)*(-2 + 1 - 2).\nAnswer: 1308*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/15)\/((-2)\/220). What is the common denominator of -2*21\/m - -2 and -3\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315739993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 2*f + 230. What is the tens digit of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:50 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1980992\nAnswer: -5\/1980992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 3624897 - 7249991 + 3625094.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 939 * 18.\nAnswer: 16902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 4219 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35026 is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 + 16)*(-19 - 0). Let m be (f\/(-2) - -11)*2*1. Solve z + 4*z = m*q + 37, -4*z = q - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b9f (base 16) in base 6?\nAnswer: 402303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*30\/(-135)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 355*k**2 + 93712*k - 2111. Determine a(-264).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*h**3 + 70227632*h**2 - 35113822*h + 4389228.\nAnswer: 2*(h + 2194614)*(4*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -548*j + 12309792 - 12309792. Let z(c) = 5*c**2 - 10*c**2 + 4*c**2. Determine z(q(u)).\nAnswer: -300304*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2196 + 2439. Is 244 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.9 - 0.88. Let l = -0.02 + m. Which is the nearest to -1? (a) l (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -39.3, 3, 26, -2\/19, 0.01 in ascending order.\nAnswer: -39.3, -2\/19, 0.01, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q - 23. Let v be f(-10). Let s = 119 - v. What is the remainder when 56 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -5 + (0 - -13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:38 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22125\/1770 + 1 + (-17)\/2)*(0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 3900\/42 + 3\/21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from fftjtfttff.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 30818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 92*n**2 + 12 + 0*n - n - n - 23.\nAnswer: 92*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*(-4)\/(-6))\/((-592)\/888)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001447 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 7*f - 6. Give i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (22 - 36) - 34\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + g + 64 = -13, 4*t + 4*g = 172. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-20))\/(4\/(-10)). Let a be (w\/(-1) - 2) + -12. Let k = a + 11. Which is smaller: k or -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1837930034 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0, -6\/5, 5\/6, 26, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028932 is divided by 736.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 + 21*w**3 + 18*w**3 + 21*w**3 - 75*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 - -525. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 61 = -5*y - 389, 2*y - 1001 = 3*b. Let w = 705 + b. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/10 - 1\/(-5). Let j = 7 - 2. Let s(z) = -z**2 + z - 6. Let q(h) = h**2 - 2*h + 6. Let p(m) = j*q(m) + 6*s(m). Calculate p(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234)\/78 - -7*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:25 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by (-68)\/8*-2 - (3 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(26\/104)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t - 152. Let d = -11 - t. What is d rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*j - 64. Let h be (1\/(-2))\/(4\/(j*40)). Let v(f) = -f + 12. Give v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -573.657 and 0.4.\nAnswer: -229.4628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f - 3. Let k be u(4). Suppose -2*d + 7*d - 4*v = 70, -d + k = 3*v. Suppose p - 4*p = -d. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-2\/3)))**(-40))**(2\/9) assuming y is positive.\nAnswer: y**(160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -75. What is the remainder when (-5 + 109)*i\/(-8) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3, -2*p + 8 = -3*d + 7*d. Suppose 3*f + 4 + 2 = 3*t, -2*f - 22 = -5*t. Put -5, t, 4, p in increasing order.\nAnswer: -5, p, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -35*h + 14*h + 9*h + 15*h - 4. What is x(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let o(m) = 5*m**2 + 255*m. Let l be o(-51). Solve n + b*n = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 3:48 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1114*h**2 + 161*h + 461. Does 38 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 224. Let z = d + -37. Suppose 5*g - 136 = z. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, k: 6}. Give prob of picking 2 k.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, -4, 4466, 3 in descending order.\nAnswer: 4466, 3, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 882 - 877 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5. Let i = -14613 + 14610. Give w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -1. Let c = 31 + f. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*u - k + 74, -132 = -4*u - 26*k + 21*k + 8*k for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-40*495\/46200)\/((-54)\/147)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/9 (b) 161 (c) -0.99 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -607?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 32, 57, 92, 137, 192, 257?\n\"Answer: 5*n**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8 = r, -3*r + 24 = 1125*b - 1122*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)*s)\/(s\/(s**(-7)\/s))*(s**(-3\/4)\/s*s)**(-15) assuming s is positive.\nAnswer: s**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-15\/4)*n*n**(-8\/11)*n)\/(n**(-1\/63)\/(n\/n**(-1\/33))) assuming n is positive.\nAnswer: n**(-1195\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/137 (b) -4034 (c) 1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnnvn. Give prob of sequence nvn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 152959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 36 - 12. Let a(f) = -f**3 + f**2 + f + 8. Let u be a(0). Solve -j - u = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (14 + (15 - 36))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28728 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -18*t + 84. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 773, 1012, 1411, 1970, 2689, 3568, 4607?\nAnswer: 5806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221221 + 11?\nAnswer: 221232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1654)\/(-6) - 35\/21. Suppose -u - 156 = -43*r. Which is greater: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvnvjvllhlllnvv. What is prob of sequence vnh?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023203 (base 4) to base 8.\nAnswer: 21343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 233 (b) 88 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 11*z - 20. Let b be m(12). Let o = 43 + b. Suppose -37*t + o*t + 120 = 0. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 16\/51 (c) 2\/13 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 13*h + 40 = 0. Suppose h = 4*a - 10. Suppose -a*x = 3*v - 0*v - 122, -v - x = -40. Calculate the highest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 3*c**2 + c + 2. Let m be l(3). Find the second derivative of -m*z + 4*z + 0*z**3 - 3*z**3 wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -54, -93, -152, -237, -354, -509?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 + 2*s**2 + s - 5. Let m be o(4). Suppose 0 = -r - t + 43, -5*r + t + m = 8. Calculate the remainder when 125 is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 15) + (13 - -9) + 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 1 - 1 + (3*m**5 - 8*m**5 + m**5)*(3 + 2 - 7 + (0 - 1 + 3)*(0 + 0 - 2) + 2 + 0 - 1 + 0 + 0 - 1 - 2 - 1 + 7).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55 + 11 - 12)*(3*d - 2*d + 2*d) to the form u*d + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18\/(-15))\/((-9)\/((-1530)\/(-4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueucceeeekeusuueekes. What is prob of picking 1 u, 1 k, and 1 e?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/5 + 458\/5 is divided by (-52)\/(-2) - (3 + (-7 - -6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10827 + -10242. Calculate the highest common divisor of s and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0*r**5 - 5\/6*r**4 + 0 + 0*r**2 + 21*r + 0*r**3 - 1\/30*r**6. What is the third derivative of k(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 194057685 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 0 - 3 - (-36 + 18 - -36)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2661?\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 538\/6 + 68\/51. Calculate the greatest common factor of v and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Suppose 849 = -3*b - 3*g, -4*g + 0*g = -s*b - 884. Let m = 413 + b. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5842593841758 - 5842593841758 + 3*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2219, -4347, -6479, -8615?\n\"Answer: -2*j**2 - 2122*j - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57a (base 12) in base 2?\nAnswer: 1100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + d - 242 = 0, 0 = 5*f - 4*d - 480 - 151. Calculate the remainder when f is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42772\/9 - 4758. Calculate the common denominator of 71\/9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence innn when four letters picked without replacement from {n: 6, i: 12}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*v + 109*v + 396*v + 182*v as x + r*v and give r.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiuifuxx. What is prob of sequence ux?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 0.2, -4, 0, 19.1 in ascending order.\nAnswer: -4, -0.08, 0, 0.2, 19.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -0.3, -3, 1\/2, 5\/6, 11\/7 in descending order.\nAnswer: 45, 11\/7, 5\/6, 1\/2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 = 2*v + 5*o, 0 = -2*v - 0*v + 3*o - 598. Let k = v + 504. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -8.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 216 (c) -249\/160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.497 + -7.497. What is the biggest value in -0.5, 4, 0.02, 35, r?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718\/3 + (23\/3 - 8) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5 = 5*l, -3*l = 2*s + 5. What is the units digit of -2 - ((-1 - s) + -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -0.5 (c) 38 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + o + 9 = 0, 6334 = 4*x - o + 6341 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-96)\/36)\/((-30)\/18 - -2). Sort 1\/2, q, -4, 1\/10.\nAnswer: q, -4, 1\/10, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**2\/2 - 1. Suppose -4*y - 54 = -42. Calculate i(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + 1.85. Let q = -2 + m. Let g = 0.2 + q. Which is the nearest to -2\/7? (a) g (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079675143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 <= 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (-4 - (-10 - 1 - -11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 3*x**2 + 9*x - 11. What is r(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2412 - 2408. What is the nearest to -2\/7 in -1\/4, 0, 5, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 498, 497, 494, 489, 482, 473, 462?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 - 0.1. Let q = 246 + -248. Sort 1, q, d, -5 in ascending order.\nAnswer: -5, q, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23228 divided by 4?\nAnswer: 5807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 - 6*p + 18*p - 9 - 7*p**2 = 0. Calculate p.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in 8, 43915, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -2. Let m be 3*5*(-3)\/(-9). Suppose 3*b + k + 0*k = 375, -5*b + 625 = m*k. What is the remainder when b is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-2)\/(-148)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 25 = -10. Let m(q) = 4 + 2*q**d - 4*q**2 - 3*q - 1 - q**3. Let k = -19 - -23. Determine m(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 49 = 51. Suppose -z*m - 11 = -9*m. Which is the nearest to -0.1? (a) -3\/2 (b) m (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.04 - -2. Let n = m + 3.04. Let j = -3.4 + n. Which is the biggest value? (a) j (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23518, -23516, -23514?\nAnswer: -23512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvhhhkkhvhvkhhhvqqq. What is prob of picking 1 v and 1 h?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*q - 14 = 0, 4*z - 3*q = z - 9. Solve -13 = -u + 3*b, 0 = -4*u + 3*b + z*b + 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 6*m - 1. Let a be z(-6). Let d(y) be the first derivative of y**2\/2 + 186893. Let f(w) = -1. Calculate a*f(v) + 2*d(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a8 + -4?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 59 = -4*l, -t = -3*t - 10. What is the remainder when 21 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*z**3 + 459444*z**2 + 505344*z + 45940 = 0. What is z?\nAnswer: -11485, -1, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3094, -6147, -9200?\n\"Answer: -3053*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 + (-3)\/(-1). Suppose -5*v = -w*v - 4. Suppose -24 = -v*u + 54. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959174\/5 <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8 - 4130\/2520 - 451\/(-369).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 - 0.03. Let t be (-50)\/(-10)*(0 - 1). Sort t, -1, -14, s in descending order.\nAnswer: s, -1, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 43 + 93 + 6*r - 5*r - 136.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*g - 96. Let s = -23 + g. Factor 2*f**2 + 0*f**3 - s + 9 - f**3.\nAnswer: -f**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 178253 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 246, 419, 626, 879, 1190, 1571, 2034?\nAnswer: 2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 14 + 70 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 9 - (-7 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/(24\/(-108)*-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -17041*q - 170364. What is a(-10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 60876592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 29 = -0*f + x, 3*f + 2*x - 19 = 0. Let b be (f\/(-21))\/(1\/(-345)). Suppose -t = 4*t - b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 + 74*b - 331. Let m be f(8). Let d be (-40)\/(-1*1\/1). Calculate the highest common divisor of m and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-25209906\nAnswer: -25209905.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 6 - (588\/(-21) - -18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/7921 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 139379195 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let t = -38 - -40. Suppose 261 - 95 = t*l. Let o(y) = -83*y - 34*y**2 + l*y. What is p(o(f))?\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1727 + -1727.0068. Let r = -161.6528 + 110.446. Let a = d - r. What is a rounded to zero decimal places?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2462*z**3 - 9878*z**2 + 9968*z - 120 = 0.\nAnswer: 15\/1231, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**2 + 4*f**2 + 3*f**6 - 3*f**2 wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 23*l**2 + 136*l - 91. Let b be w(-28). Let x(y) be the first derivative of 0*y - 1\/2*y**2 - b. Let i(t) = -2*t. What is x(i(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2028101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 7. What is the biggest value in -4, 2\/17, -7, g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14306.\nAnswer: 2, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/5))\/t)\/(t**(-2\/9)\/t)*t\/(t*t**(-7))*t**(2\/9)\/t*t**(-3\/4)*t**1*(t**0)**(-2\/21) assuming t is positive.\nAnswer: t**(1421\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5198 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 30.66258?\nAnswer: -30.86258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1098250, 1098252, 1098264, 1098292, 1098342, 1098420?\nAnswer: 1098532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:20 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 + -2.15. Suppose -2*j + 6 + 2 = -2*z, 3*j = -2*z + 2. Let q be ((-2)\/(-4))\/(j\/12). Which is the closest to -0.1? (a) q (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3969.3537 rounded to 0 dps?\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwhwxwwxxhwww. What is prob of picking 1 w and 1 x?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12117527 - -4?\nAnswer: 12117533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + ((-15)\/12)\/((-154)\/9328). Calculate the highest common divisor of 171 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 3747\nAnswer: -19\/3747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.608 to 1 decimal place.\nAnswer: -50.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0 - 1\/12*t**5 + 0*t**3 + 0*t**4 - 46*t**2 + 0*t. Let f(r) = -2*r**2. What is v(f(q))?\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -4*u, 0 = -3*u + 2*v + 3 + 2. Suppose c - 12 = -u*c. What is the second derivative of -3*s + 11*s**c - 13*s**3 - 16*s**3 wrt s?\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {i: 5, u: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -333*u**8\/56 - u**4\/8 - 45*u**3 + 198*u**2. What is the second derivative of x(q) wrt q?\nAnswer: -39960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342442*b**2 + 342451*b**2 - 684899*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290805346 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004016 rounded to 4 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, v: 6}. What is prob of picking 2 v?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 6, -5, -106, -1 in descending order.\nAnswer: 8, 6, -1, -5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -23*j + 2. Suppose 2*l + 2*d + 2*d + 12 = 0, -l - 3*d = 10. Suppose -l*c = m + 6, -2*c + 3*m = -7*c - 17. Is 8 a factor of h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 5380?\nAnswer: 5380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2222112102 (base 3) in base 8?\nAnswer: -162525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 514770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 38 - 2 = 0. Let y = -43 - -38. Let m be -4 + y + 12 - 5. Sort m, t, 5.\nAnswer: t, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 992535322 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -5, 11, 33, 61, 95, 135?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -349784805 smaller than -349784807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2232 and 65\/372.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 106131 = -54810. List the prime factors of c.\nAnswer: 3, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 - 181. Let f(p) = p**3 - 26*p**2 + 26*p - 20. Let j be f(u). Solve 3 + 7 = j*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 divided by 133112?\nAnswer: 293\/133112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -8*n + 5*k, 2*k - 17 + 57 - 32 = -4*n + 3*k + 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Let n be -1*(-2)\/(4\/10). Sort n, q, -3 in decreasing order.\nAnswer: n, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -0.07. Let v = -1.8 - -2. Let u = 0.1 - v. What is the nearest to u in 0, -5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3479.7 + -4194. Let c = h + 789.412. Let x = -75 + c. Round x to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311045?\nAnswer: 5, 7, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 541 - 1096 - 6*c + 549.\nAnswer: -8*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-1)\/2)\/(1\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**5 - 628015*y**2 - 7159667*y wrt y.\nAnswer: -60*y**3 - 1256030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17444 (base 10) to base 4\nAnswer: 10100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 116 = 20*a. Let k be -1*(1 + -1*4). Solve a*p = 3*p + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20389 and 305835?\nAnswer: 305835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-10)*c*(c**(-26)\/c)\/c)\/(c*c**(-24)*c*(c\/(c\/((c*c**4*c)\/c)*c))\/c))**(-6\/7) assuming c is positive.\nAnswer: c**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -452, -893, -1308, -1697, -2060, -2397?\n\"Answer: 13*n**2 - 480*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1964a0b (base 13) in base 6?\nAnswer: 454550445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -2*t + 6*t. Suppose k + 3*b = 9, 3*k - 5*b - t - 29 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 284359699 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1106826.1 + -731.35\nAnswer: -1107557.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = -4*c, 15*c - 19*c - 2*w + 2 = 0. Let v(s) = 2*s + 1. Let o be v(1). Suppose q = o*q - 70. Solve -c*a = 3*t + 5, -a - a + q = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2, -w - 54 = 3*r - 8*r. Suppose 4*k + r - 31 = 0. Suppose k*o - 43 = 2*z, -o + 4*o - 5 = -4*z. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 62.\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-10)\/1215)\/(((-10)\/5)\/6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loool. Give prob of sequence lloo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 24066*w**2 - 17371320*w.\nAnswer: -3*w*(w + 802)*(w + 7220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 8:28 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from waw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 38 = -j - 37, 10 = 4*j - 2*g. Solve -j*c - 4*n - 6 = n, 3*n + 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 14*a - 4 = 0, 8*g - 195 = 5*a. Calculate the remainder when 140 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 2*b**6\/3 - 8*b**5\/5 - 159*b**3 + 83. What is the third derivative of y(g) wrt g?\nAnswer: 240*g**2 - 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 415 + 788 - 205 = 0 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Let j = 0 + -1. Let b = j + 0.5. What is the third smallest value in 1, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 660 + -654. Put -3, -19, f, -2\/21 in descending order.\nAnswer: f, -2\/21, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 2, z: 1, o: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 164*d**2 + 532*d + 7880. What is p(-161)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 16*p + 10 = 0, -a + 4*p + 9617 = 0. What are the prime factors of a?\nAnswer: 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194773 or 194776?\nAnswer: 194773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 15\/11803 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11108300 and 175420.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/154 and 127\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(12\/9) - 7. Let v be 432\/30 - x\/(-10). What is p in -3*p + 2*p**3 + p**4 + 4*p**4 + 9 + p**5 + 0*p**4 - v*p**2 + 0*p**4 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 33, 116, 243, 420, 653?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-4))\/((-4)\/(-16)) + (-12 - -19). Put 0, 3, -5, o, -4 in ascending order.\nAnswer: -5, -4, 0, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*z**3 - 5*z**2 - 375*z + 125.\nAnswer: 5*(z - 5)*(z + 5)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28))\/((-3)\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a + 5 + 91 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13881 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 492466, -6, 2 in descending order.\nAnswer: 492466, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + -4 - -18) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 32 = 67. Let l(f) = f**2 + 10*f + 13. Calculate l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124083 divided by -51\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -39. Factor 81*u - 35*u**3 - 43*u**3 - 5*u**5 + 49*u**m + 27*u**4 - 81 + 5*u**2 + 2*u**5.\nAnswer: -3*(u - 3)**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1033, 882, 635, 292, -147, -682, -1313?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49\/38 - -34\/19. Which is the fourth biggest value? (a) 1 (b) -4 (c) -1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -17*y - 33*y + 48*y - 0*g + 5, 0 = 20*y - g - 83 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 118 = 3*l, -4*k + 66 = 4*l - 78. Suppose 0 = -l*a + 21*a + 4860. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**4\/24 + b**3\/6 + 8*b**2 - 26. Let c(x) be the second derivative of z(x). Calculate c(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 3*z + 5*z + (-z + 3*z - z)*(-37 - 42 + 66) - 3*z + 20 - 20.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 5*i**3 + 17*i**2 - 15*i**2 + 3*i**3 + 9*i**3 + i**4 to the form n*i + s*i**4 + v + g*i**3 + w*i**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.54297 minus -0.038?\nAnswer: 208.58097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3658*i. Let y(j) = -2*j + 6. Let b(m) = -2*m + 4. Let x(v) = 3*b(v) - 2*y(v). Calculate g(x(w)).\nAnswer: 7316*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6*k + 35 = -k, -20 = -i - 3*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 295 = -q, -1103 = -3*q - 5*z - 210. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/301 and 125\/476.\nAnswer: 20468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.73 (b) -0.5 (c) -0.3 (d) 120 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**2 - i + 2. Is 12 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 + 10 = 0. Let n(d) = -d**3 - d**2. Suppose 0*m - 2*m = 0. Let p be n(m). Solve 2*s + i = -r - 2, -4*s + 2*i - 10 = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -34*b + 342 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n. Let h(a) be the second derivative of -3*a**3\/2 + 270*a. Give l(h(q)).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13*u - 56 = 17*u, -112 = -5*j + 2*u. Suppose 0 = -0*l + l + 2. Calculate the remainder when 71*(2*-1)\/l is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 5*j + 4. Let a = -16 - -11. Let w be v(a). Suppose 3*r = 4*s - 8 - 0, w*s = 4*r + 4. Solve 0 = -s*y - 3*n - 30, 6 = 3*y - 3*n - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1340, -58 in decreasing order.\nAnswer: 1340, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 74. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7 = -9. Let w = 25 - h. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -22*t**2 - 98*t + 29. Give b(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 226156795 divided by 45231359?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 0) + (15 - (-30 - -38)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -7. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 14*f**2 + 15*f + 8. Determine o(-14).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1547\/52 + 2\/8. Suppose -q = -6*l + 258. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 229 - 231 + 474.\nAnswer: 6*u + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -21001658\nAnswer: -6300497.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -36, -1, -1529, 3 in ascending order.\nAnswer: -1529, -36, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -15. Let p = 0.9 + -1.6. Let n = -3.7 - p. Which is the nearest to 1? (a) n (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4353\/14 - -312. Let p = -4\/7 + b. What is the nearest to -1\/3 in -4, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/30411 and 4\/38259?\nAnswer: 1186029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2635 + 2708 + (2 - (-5 - 0)) + 8 + -5?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 417336?\nAnswer: 125200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 13) + 10 + (11 + -37 - -12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001211102220 - 10?\nAnswer: 1001211102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -300*p**3 - 6*p**2 + 9*p + 30. List the prime factors of w(-2).\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 12 + 8 + 8)*(-1 + 0 + 3)*(-d**3 - 5*d**3 + 5*d**3).\nAnswer: 4*d**4 - 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 1\/4, -1\/4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 8\/5*b**5 + 99 - 61\/105*b**6 - 16\/21*b**3 - 22\/21*b**4 + 0*b**2 - b + 3\/49*b**7. Let s(o) = 0. What is o?\nAnswer: -2\/9, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 15*f**2 - 3*f - 11. What is the remainder when o(-15) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (2 + -2)\/3. Suppose y - 5*y = n - 9, 0 = 2*n - 4*y + o. Suppose -18 - 14 = -2*q + 4*b, -b = q - n. Solve -q = -3*f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.162, -0.63, 1\/10, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1996.9 - -1996.89. What is the closest to -0.1 in 0.0507, 2, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = -10*p. Solve -9 = -3*w + 5*u, -u = w - 4 + p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6*(-6)\/16. Let p = -0.16874 + 0.16874. Sort -1, p, z, -0.5 in ascending order.\nAnswer: -1, -0.5, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/891 and 52\/13365?\nAnswer: 13365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2199.5 - 1982. What is m rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2240\/(-42))\/(-16)*6\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.9238 to the nearest integer.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 7. Suppose -3*i + 10 + t = 0. Solve -30 + 10 = i*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - (sqrt(119) + ((sqrt(119) - -2*sqrt(119))*-4 - sqrt(119) - sqrt(119)))))\/(3*sqrt(112)) + 1.\nAnswer: 1 + 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 59589?\nAnswer: 297945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Suppose 0 = n + 5*c + 2, 2*c + u = 2. Suppose 5*s = n*r - 40, 3*s - 29 = 5*r - 85. What is the remainder when 28 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - d + 27, 2*d = -0*n - n - 26. Is ((-1899)\/(-12))\/((-6)\/n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/61 - 274\/1159. Put -3, h, -3\/5 in descending order.\nAnswer: h, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -38.00000123. What is b rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d631 (base 16) to base 7.\nAnswer: 2065031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 142*b**2 + 5007*b + 132. Give t(-77).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 25738+-0.092\nAnswer: 25737.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1))\/((-1)\/(-16)). Suppose 2*r + 4*n = 24, 3*n = 4*r - 9 - 17. Let p = b - r. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + -4*(sqrt(245) - -5*sqrt(245) - sqrt(245)) + sqrt(245))*6*4)**2*4 + 2.\nAnswer: -1225728*sqrt(5) + 203786495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 + 3. Let g(z) = -4*z**2 - 2. Let m(f) = -4*g(f) - 3*w(f). Let n be m(-1). Solve n = 3*b, -b + 6 = -2*x + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 17 + 4. Let g = m - 4. What are the prime factors of 33\/(-9)*(0 - g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 7. Let a(k) be the third derivative of -5*k**4\/24 + 7*k**3\/6 - k**2. Let g(o) = 3*a(o) + 2*d(o). Give g(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26040)\/49910)\/(10\/(-69)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 61*119545\nAnswer: 7292245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -595, -594, -591, -586, -579, -570?\n\"Answer: x**2 - 2*x - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 715, 899, 1261, 1861, 2759, 4015, 5689?\nAnswer: 7841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1966*o*u**2*w**2 + 81*o*u*w**3 + u**2*w**3 + 3710*u**2*w**2 wrt o?\nAnswer: -1966*u**2*w**2 + 81*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -1, 2 in decreasing order.\nAnswer: 10, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = -8*i. Let j be 1*(19 - i - 4). Find the third derivative of 13*z - 13*z - z**3 - 6*z**2 - j*z**3 wrt z.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c60 - 24?\nAnswer: -5c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 != 186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**15\/v)\/v*v*(v*v**(4\/7)\/v*v)\/v*v assuming v is positive.\nAnswer: v**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -30 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**3 + 6*r**3 + 3*r + r + (-2*r**2 + 2*r**2 - r**2)*(0 + 0 - 2*r) - 7*r**3 + 0*r + 0*r in the form k*r**3 + b*r**2 + g + s*r and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1794547634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/19759 and 51\/3047.\nAnswer: 60205673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -29*v + 1. Let r be d(-1). Solve 3*l + 4*q + 6 - 1 = 0, -2*l + 4*q + r = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h + 25*h**2 - 6*h**3 + 21*h**2 - 31*h**2 + 4*h**4 wrt h?\nAnswer: 96*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6572 - -6576.021. Let m = -0.021 + p. Let o = -275 + 275.4. Which is the fourth smallest value? (a) m (b) 0.5 (c) o (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 2536*v - 1607824 = 0 for v.\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 2*j + 0*j)*(-1 + 4 - 1) + (-2 + 2*j + 2 + (-2 - 4 + 4)*(-12*j + 12*j + 5*j))*(4 - 5 + 2) to the form k + n*j and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 303 - 131. What is the remainder when 293 is divided by q?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*n = 3, n + 2*n + 27 = s. Let u be (4 + -3)*-3 + 5. Suppose p - 1 - u = 0, 2*o + 2*p - 102 = 0. What is the highest common factor of s and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-7))\/((-2)\/(-14)). Suppose -s*z - 1 = -3. Suppose 2 = 2*v - 0. Is v > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let b = 12.84 + 0.16. Let x = 13.2 - b. Is c greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 7:16 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, k: 1}. What is prob of sequence kbb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-4)*(0 + -4). Let d = b - -29. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*c - 0*c - 183, 4*w + 5*c - 176 = 0. Is w at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = -2*j. Let t be (6\/(-9))\/j*-3. Sort 9, t, -4 in ascending order.\nAnswer: -4, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by 17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 15666?\nAnswer: -16003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + sqrt(13)*-2.\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*o + 10 + 283*o + 280*o - 848*o.\nAnswer: -4*o + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3059305 by -5.\nAnswer: 611861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 244 + 76 = 0. Let f = n - 18. Sort 2, 9, f, -2 in decreasing order.\nAnswer: 9, f, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11179, -2, 2 in increasing order.\nAnswer: -11179, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (2*sqrt(832) + -5)*-5).\nAnswer: -400*sqrt(13) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35 times -2.57\nAnswer: -89.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4.2838 * -59\nAnswer: 252.7442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:45 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14833347 is divided by 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -0.4, -8, 5\/4 in increasing order.\nAnswer: -8, -0.4, 0.11, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -10\/11, 6, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 118*f**2 + 3917*f - 423. What is v(145)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1090 = -p. Let w be ((-99)\/(-9) - 11)\/(-9) - (-34)\/3*48. Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 1. Let t(q) = -q**3 - 4*q**2 + 4. Let w(a) = -4*h(a) + t(a). Let p(n) = n**3 + 3*n**2 - 3*n. Give 4*p(f) + 3*w(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -4*h + 5*h - 58, h + 156*c - 59 = 159*c for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1998 is divided by 251.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0296699 rounded to three decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 124087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6354 - 279874 = -13*l - 3*l. List the prime factors of l.\nAnswer: 5, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331301 (base 5) to base 8.\nAnswer: 26273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2. Let j(k) be the second derivative of 382*k**3 - 379*k**3 - 14*k - 19*k. What is j(u(b))?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*a + 4*a**3 + 0*a**3 + 53*a - 5*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(91)\/(2*sqrt(7))).\nAnswer: sqrt(13)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {h: 4, a: 3, x: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 + 110. Let l = 11 - n. Suppose 5*u + l = -12. Let w(r) = -r**3 - r**2 - 3*r + 2. Give w(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 29*z**3 + 2*z - 1. Let s be b(1). Suppose -2*c = h - s + 6, 108 = 4*h + 5*c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 401, 1034, 1919, 3056, 4445?\n\"Answer: 126*l**2 + 3*l - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 4*c + 2. Let g be s(3). Let z = 13 - 9. Sort z, g, 3.\nAnswer: g, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w + 2*o + 2335499, 5*o - 1557031 = -2*w. Let i = -64483 + 292986. Suppose -m - i = -w. Round m to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.7 and 180?\nAnswer: 4086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z**5\/z*z)\/z)\/z)\/(z\/(z\/(z**(-1\/3)*z*z*z))))**(-2\/5) assuming z is positive.\nAnswer: z**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - -56 - (-2 + 3 + 0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07809 to 3 dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:20 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-10))\/(3\/10). What is the tens digit of m\/2*(-75)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 + 7. Let g be k(7). Let m be (-3)\/1 - ((-1 - 10) + 3). Is m less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(252) - (sqrt(252)*1 + sqrt(252) + 2)))**2.\nAnswer: -256 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 259 (b) -1\/7 (c) 575\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66944 - 1394902\/21. Let g = 520 - q. Let d = 349 - 348. What is the nearest to -0.1 in d, g, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6451*d**3 + 6386*d wrt d?\nAnswer: -38706*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1878*l**2 - 10995 + 22011 - 11016 + 1879*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -868*q + 136282. Determine z(157).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 1031*u**5\/20 + 4865*u**2. Let a(l) = 2*l. Determine q(a(w)).\nAnswer: 12372*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 12*u**2 - 4*u - 18. Let z be (-1 - 0)\/(4\/(-52)). Let m be p(z). Let h(l) = -3*l + m - 99. Let w(i) = -9*i. Give w(h(x)).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03062 - 4.\nAnswer: -3.96938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12938815 to the nearest integer?\nAnswer: 3597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -2, 40, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -8. Let z be -2 + -1 + p\/1. Put 0, z, -5 in decreasing order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let t = 60 - 45. Solve -5*v = -h*v - t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.022 - 12.278. Let f = a - -12. Let z = 0.5 + f. Round z to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.54263 and 6.\nAnswer: 27.25578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3698547323 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8059 (base 11) in base 16?\nAnswer: 29d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688064454 plus 65.3?\nAnswer: 1688064519.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37\/5 of a millennium?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/12 and 49\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 43, 10.\nAnswer: -51, 10, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862325002 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2183 - 2183. What is the nearest to u in 5\/4, -0.2, -0.06, -1\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3*i + 18 = 0, 0 + 10 = -5*p + i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 0 = 5*l, 3*l = v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345167\/18 - -19181. Find the common denominator of -145\/3342 and f.\nAnswer: 10026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 90.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 33*u. Let o(x) = 5*x**2 + 42*x - 12. Let d(r) = 11*r**2 + 77*r - 22. Let w(t) = 6*d(t) - 11*o(t). Calculate w(g(l)).\nAnswer: 11979*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**14\/n*n*n*n\/n**(17\/5)*n*(n\/n**(-11))**26)**7 assuming n is positive.\nAnswer: n**(11466\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j - 26*j + 21*j.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:28 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 78?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1333 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = 7. Let y(k) = -k**2 + k + 8. Let q be y(t). Let m(x) = 5*x**2 - 4*x + 2. Is 4 a factor of m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -39*j + 37*j. Let k be ((1 - -1) + -2)\/(-2). Which is the nearest to 2? (a) 1\/11 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = l, 483*n - 8*l = 488*n + 4 - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 5. Let s(d) = -535*d**2 + 1177*d + 5885. What is 4*s(j) - 4708*w(j)?\nAnswer: -2140*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 23*k**2 + 10*k + 88. Determine b(-23).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 403834 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1232\/220 - 6\/(-15). Let v be 0\/(-1) + 0 + 5. Suppose v*f = 2*f + 12. Put f, -1, z in increasing order.\nAnswer: -1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0\/2*(-38)\/114\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27204 divided by 378?\nAnswer: -4534\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 147995920*v + 1368924521040400.\nAnswer: 4*(v + 18499490)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 - 7 = 0. Suppose -y = -3*m - d*y + 183, 5*y - 65 = -m. Suppose -3*b + m = -b. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 d when four letters picked without replacement from ggddgfggdggddffgf?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - 1) - (-583 + 587) - (1 + -23)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 52*s**2 + 34*s + 2. Let m be n(51). Let f = m + 3463\/4. Factor 9\/4*z**2 + 0 - f*z.\nAnswer: 3*z*(3*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10)\/(7 + 3 + (-909)\/90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/20 - f**4\/2 + 7*f**2\/2 - 2*f. Suppose 0 = -2*k + 4*n + 17 - 103, 0 = 3*n + 3. Let g be (-2)\/(3*5\/k). Determine x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 17*p - 14. Let w be c(-14). Suppose -z + w = -0*z. Let l = z + -6. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*g*k**2*q**2 - 2*g*k*q**2 + 544*g*k*q - 3*k**2*q**2 + 201*k**2*q - 3*k*q wrt k.\nAnswer: -26*g*q**2 - 6*q**2 + 402*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58797 by -139.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36874984415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 750\/5)*31. Suppose -63*f = 3*r - 65*f - z, 4*r = 5*f + 5906. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*h**3 - 42*h**2 + 30*h - 9?\nAnswer: -84*h - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nneenneaaeeannann. What is prob of picking 1 a and 1 e?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + (sqrt(143) - -2*(sqrt(143)*-1 + sqrt(143))) + sqrt(143))*-3)\/(-3*sqrt(22)\/sqrt(2) + sqrt(11) + -1*sqrt(99) + sqrt(11)))**2 + -2.\nAnswer: 1021\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 12:34 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 158118967406?\nAnswer: -158118967390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462003?\nAnswer: 3, 154001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*i + 210 - 210)*(-3 + 4 + 4)*(1 + 0 + 1).\nAnswer: -150*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let v be z(2). Suppose -5*l + 11 = 4*t, v*t + l + 0 = 15. Is 9 a factor of (12\/(-10))\/(t\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 - 3*k**2 + 2*k + 3. Let d(t) = 10*t**3 + 10*t**2 - 7*t - 8. Calculate -2*d(o) - 7*n(o).\nAnswer: o**3 + o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1713*10\nAnswer: 17130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2670646 is divided by 3297.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8281801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, 6, 7154, -5, 10 in ascending order.\nAnswer: -5, 1, 2, 4, 6, 10, 7154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -4, -2\/201, 1 in descending order.\nAnswer: 1, 0.01, -2\/201, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(150)\/(sqrt(54) - sqrt(6)) - 6*sqrt(75)\/sqrt(3))\/(6*sqrt(10)\/sqrt(2)*-2).\nAnswer: 11*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/23 - 71\/115. Let w = -14.5 + 19.5. What is the nearest to 0.5 in -0.1, w, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -983, -992, -1013, -1052, -1115, -1208, -1337, -1508?\n\"Answer: -t**3 - 2*t - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*6*8\/72. Solve 0 = -w + z*w + 3*n, 0 = -5*w - 3*n - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**6)*a*a\/a**(-4)*a**(1\/4)\/(a\/(a\/a**(-3))))**(-29) assuming a is positive.\nAnswer: a**(-1769\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 29. Let y be 1\/(-2) + (-51)\/(-6). What is the greatest common factor of y and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -894935?\nAnswer: 89493a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezzz when four letters picked without replacement from eezzeze?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 10*z + 4*i = -13, 17 = -5*z - 2*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -35.8. What is the closest to o in -5, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + 81*b**3 + 8*b + 2 + b**2 - 5*b**2 + 8*b**2 - 127*b**3 + 44*b**3 as k*b**3 + p*b + h + g*b**4 + o*b**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 1208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 12 = -28*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrww when four letters picked without replacement from rfgwgffwgwfwwffwffr.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10241650*v**3 - 46907*v**2 - 3 wrt v?\nAnswer: 61449900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*c = 119*c - 849. Suppose 277 = -16*a - c. Let x = 31 + a. Let h(v) = v + 1. Let j(r) = 7*r + 2. What is x*h(u) + j(u)?\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3562 - -3562.0007068. What is v rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 5:55 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 + 88. Which is the second biggest value? (a) 0 (b) -0.2 (c) i (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.202953ml in litres?\nAnswer: 0.000202953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7509?\nAnswer: 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 1) + (34 - 25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 + 3*d + 1. Let a be g(4). Let w = a - -22. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) - (9 - (-5)\/(250\/(-580))). Put p, -3, -5, 1009 in increasing order.\nAnswer: -5, -3, p, 1009","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9401?\nAnswer: 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 t when three letters picked without replacement from atrtaartrrrarna?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 3. Let n = 0 + q. What is the second derivative of 0*l - l**3 - 2*l + n*l**3 wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 10162 = -197*a - 14908. Suppose 2*j - 8 = 4*p, -3*p - 4 = 3*j + 2. Suppose h - 3*n + 16 = j, 5*h - 2*n + 104 = n. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3404022 is divided by 391?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19*v + 3. Let s(r) = 6*r - 1. Let o(y) = 2*m(y) + 7*s(y). Let p be o(4). What is the remainder when 10 is divided by (-2)\/(-4)*(p - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(2 + -5 + 2). Let c(v) = v**2 - v + 1. Let j be c(d). Let g(t) = 4*t**3 - t. Let a be g(1). What is the greatest common divisor of j and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282510021?\nAnswer: 3, 94170007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979379867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -203 (c) -103\/54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 26. Let n(j) = -j + 5. Let c(l) = -11*n(l) - 2*z(l). Let o be c(-5). Factor -5*k + o*k**3 - 2*k**2 + 3 + 3*k - 1.\nAnswer: 2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -969, -451 in decreasing order.\nAnswer: -5, -451, -969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435*d - 17*o = 1432*d + 35, d + 4*o = -27 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201140?\nAnswer: 2, 5, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (10 - (7 + (-3 - -1) + (-5 - -114))).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = -2. Let m(z) = z. Let o(t) = -6*t**2 + 4*t - 1. Let c(j) = 2*m(j) - o(j). Give c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3006 + 3022. Solve -5*v + a*v = 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 6:19 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 18*p - 986. Give q(23).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -136*j + 957. What is the smallest common multiple of q(-16) and 241?\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/15)\/((-9)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 3*y**2 + 4*y + 10. Let q be s(-4). Suppose -11*o + 50 = -q*o. Is (-3)\/5 - (-6380)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -96*g**4 - 124*g**3 + 60*g**2 + 120*g + 32. Let b(o) = -97*o**4 - 123*o**3 + 61*o**2 + 120*o + 33. Let h(w) = 4*b(w) - 3*i(w). What is n in h(n) = 0?\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/1*(1 - -3). Let f be (-3908)\/q - 1\/(-4). Let g = 1031\/4 - f. Find the common denominator of g and -52\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -114\/7?\nAnswer: -114\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - -3a?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 31. Let g = t + 22. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Suppose 3*s - 16 = -b - 0*b, -49 = -a*b + 3*s. Let u be 37\/b - 4\/(-26). Let o(f) = f**3 - 2*f**2 - 4*f + 2. Calculate o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -1, -0.2, -7, 4, 0.02039?\nAnswer: 0.02039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4)*(-3*t**3 - 2*t**3 + 6*t**3) - 9 - 433419*t**3 + 9 + 429474*t**3 + 0 in the form r*t**2 + a*t**3 + b + s*t and give a.\nAnswer: -3943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 1) + -3)\/(-68 - -73)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 412 = -3*h - 8*h - 531 + 489, 3*h = 4*l + 118 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {d: 1, l: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5\/7 - 39*t**4\/7 - 39*t**3\/7 + 471*t**2\/7 + 468*t\/7 = 0?\nAnswer: -3, -1, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 1. Let k(h) = 23*h**2 - 22*h + 11. Let b(n) = -2*n**2 + 2*n - 1. Let u(t) = 22*b(t) + 2*k(t). Give z(u(l)).\nAnswer: 16*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 5) in base 14?\nAnswer: -cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 68232.28 nanometers?\nAnswer: 0.00006823228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17*m - 569. Let s(l) = -4*l + 142. Determine -2*c(n) - 9*s(n).\nAnswer: 2*n - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 20. Let h be k(17). Let n be (9 - -70) + (-2 - h). Factor -20 - n*g**2 - 5*g**3 + 23*g + 62*g + 20*g**3.\nAnswer: 5*(g - 4)*(g - 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/9 + 61*q**3 + 363*q**2 + 4891*q\/9 + 724\/3.\nAnswer: (q + 1)**2*(q + 4)*(q + 543)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 4, -14 in descending order.\nAnswer: 90, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1879*c - 938*c - 943*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 2*l - 2*l - 8*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*o**2 - 526*o**3 - 522*o**3 + 1582*o**3 - 533*o**3.\nAnswer: o**3 - 48*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55905, -55893, -55873, -55845, -55809, -55765?\nAnswer: -55713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.2, -6\/11, 0.3, -36\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-15)*n*n)\/n**(-16))\/(n**(4\/11)\/((n\/(n**17*n))\/n)) assuming n is positive.\nAnswer: n**(-169\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccaiacidciicaid. What is prob of picking 3 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(-333)\/72*5592\/(-466)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 5\/3*g**3 - 3\/4*g**4 + 0*g - 75 + 1\/10*g**5 + 1\/60*g**6 - 2*g**2. Factor f(u).\nAnswer: 2*(u - 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 208*c**4 - 83500*c**3 + 36856*c**2 + 14436*c = 0. Calculate c.\nAnswer: -1\/4, 0, 9\/13, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:34 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -514*g**3*n**2*w**2 - 8*g**3*n*w**2 + g**2*n*w + 5*w**2 wrt n.\nAnswer: -1028*g**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8748)\/528 - 18\/99 and 51\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/(s*s\/s**(-2\/9))))*s)\/s)**(-14)\/(s**29\/s*s**(-1)))**(1\/6) assuming s is positive.\nAnswer: s**(-89\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 9*u**2 - 7*u - 2. Let b be l(8). Is b at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -7*q + 11*q + i, 0 = 5*i. Suppose -111*d + 116*d = q. What is the greatest common factor of 22 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9354147 is divided by 1755.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12082, -12079, -12072, -12061, -12046, -12027?\nAnswer: -12004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368046 divided by -6641?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871018 is divided by 538?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.4, -0.3, -18, -2110?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**4\/12 + 4*d**3\/3 + 6*d**2 - 7*d. Let j be s(-9). Solve -2*y - 7 = -f, -5*y - 2*f = -f + j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 65587*k**2 + 1311739*k - 20. What is z(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1902 + -1900. Solve 5*i + 7 = g - 0, n*i = -3*g - 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**4\/3 + 9245*b**3\/3 - 851855*b**2\/3 + 824095*b\/3 + 561730 = 0.\nAnswer: -1937, -1, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12933223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 + 18*i**3 - 24*i**3 - 20*i**3.\nAnswer: -38*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(26)\/sqrt(2))*-5.\nAnswer: -5*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05221525 rounded to 3 dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-17)\/((d**18\/d)\/d)*((d*d\/d**(-11))\/d*d*d)**(-7\/2) assuming d is positive.\nAnswer: d**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d + 8 + 11*d + 9*d - 14*d**2 + 7*d**2. Let m be q(-9). Which is the closest to -2\/11? (a) m (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:29 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5909623 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: Suppose 13*s - 7188 = 9*s. Suppose -499 = -2*z + s. Suppose 0 = 3*t - 7*t + z. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/9 - 844*j**2\/9 + 46562*j\/9 - 76880 = 0.\nAnswer: 31, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/21 + -13\/84. Let g(i) = i**3 + 2*i**2 - 3*i - 3. Let a be g(-2). Suppose a = -z - 2*z. Is z > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5438 = -18*l + 20*l. Let v = l + 4419. Is 100 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 347*s**3 + 5*s**2 - 3*s**2 + 92*s - 93*s + 1 as m*s + w + i*s**3 + k*s**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7\/(f\/(f**(-2)\/f)))**(-4\/7))**(-9\/7) assuming f is positive.\nAnswer: f**(108\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (37 - (51 - -3))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234133\/97160 - -37\/2429. Find the common denominator of ((-303)\/15)\/(36\/5) and b.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8070, 29485, 65184, 115173, 179458, 258045?\nAnswer: 350940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1419*p*q**3 - 13037*p*q + 2*q**2 wrt q.\nAnswer: -8514*p*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/9)\/(z\/(z**(-6)\/z)*z)*z*(z\/(z*z**(-3\/5)\/z))\/z*z*z**(-3\/4) assuming z is positive.\nAnswer: z**(-1247\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129? (a) 8 (b) 3 (c) -9 (d) 0.2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59 - b2bb24?\nAnswer: -b2bb81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, 3 in descending order.\nAnswer: 3, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1857 - 1821 + 8*y - 4*y in the form v + p*y and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -19. Let n = 113 - u. Let g(v) = n*v - 3*v**2 - 44*v - 39*v. Let q(o) = -2*o. What is q(g(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3040 divided by 40?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -665, -1173, -1645, -2081?\nAnswer: -2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8392900 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -3.443.\nAnswer: -13.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 447904 and 55988.\nAnswer: 447904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1555417? (a) -2\/9 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)*2 - sqrt(30))*-6)\/(1*sqrt(150) - sqrt(150) - sqrt(6)) - (sqrt(55)\/sqrt(396) + (sqrt(20)\/sqrt(2))\/sqrt(2))**2) + 1.\nAnswer: -209\/36 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6)*l\/(l*l**(-6)))\/((l*l\/((l\/(l*l**(-2\/7)*l)*l)\/l))\/l)**(38\/5))\/(((l*l**(-2))\/l)**26)**36 assuming l is positive.\nAnswer: l**(65064\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11403220 (base 5) to base 4.\nAnswer: -122002331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*i = q - 18, 5*q - 17 = 4*i. Solve q*j - 2 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. What is the greatest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d*d**(6\/11))*d*d**(-1\/26)*d*d*d\/(d\/(d\/(d**22*d)*d)))**(-4\/3) assuming d is positive.\nAnswer: d**(2590\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 7}. Give prob of sequence ee.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/4 of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b - 42. Let c be i(-9). What is the remainder when 38 is divided by (-2)\/(-3) + 0 + c\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*h**2*y + 339*h**2 + 2*h*y + 5 wrt y?\nAnswer: -37*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q + 3*l + 13 = -34*q, -1 = 4*q + l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1240, 4, 3 in decreasing order.\nAnswer: 4, 3, -1240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let p(d) = d**2 - d. Let n(z) = 2*p(z) + 2*q(z). Let c be -3*6\/(-27)*3. Let h(v) = -3*v**2 - 3 + 3 + 2*v**c. Determine n(h(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 837447077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -4.3\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5872 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14\/b)**(-26)\/(b**(-2\/29)\/((b**(-12)*b*b)\/b)) assuming b is positive.\nAnswer: b**(-10119\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -29.7 - 1.5\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*c - 30730, 0*c + 3*c = 4*p + 30728. Suppose 0 = 18*q - 18614 - c. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3.5, -4, 299?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 = -45*g + 26 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 19*b**6\/120 - b**3\/2 - 16*b**2. Let t(u) = -57*u**3 + 10. Let d(x) = -7*n(x) - 2*t(x). What is d(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = 2*i. Let h(g) = 3*g + 1. Let t be h(i). Is 11 a factor of (11\/t)\/(7\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120869, 241747, 362635, 483533, 604441?\n\"Answer: 5*p**2 + 120863*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -29. Suppose -5*y + m = -6. Solve l - 4 = -y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 6 - -15) + (0 - 7 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-130)*(-8680)\/(-434)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13163 is divided by 2263?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*j - 27*j - 960 = 121*j for j.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -597, 361, 1965, 4221, 7135, 10713, 14961?\n\"Answer: c**3 + 317*c**2 - 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3576*f - 886 + 2540 = -1922 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-5 + 1 - -6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*t = -4, 12 + 1 = 2*r - t. Which is the nearest to -0.1? (a) -3 (b) -1\/4 (c) r (d) -0.028\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10738 and 1371278?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.32883 centimeters to kilometers.\nAnswer: 0.0003932883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**13\/(a**(2\/25)*a))\/(a**(14\/3)*a\/(a**17\/a)))**(-14\/5) assuming a is positive.\nAnswer: a**(-23366\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11122126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54950 and 518728.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(3\/2)*p**(-2\/31))\/(p\/((p\/(p**(-1)*p))\/p*p))**(2\/7) assuming p is positive.\nAnswer: p**(151\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1725 is divided by 484?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -3*x - x, -3 = -4*d + 3*x. Suppose -3*q - 3 - 15 = d. Which is greater: q or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {m: 3, w: 3, j: 1, v: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1122 + -1115. Solve 0 = -h - 4*p + 16, 2*h - p + 4*p - k = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136989749 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(2475\/(-30))*-25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 u when four letters picked without replacement from pappapapaaupap?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6)*27\/6. Let y = -0.29 - 0.71. Which is the closest to i? (a) y (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 698601481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3392)\/6)\/(-2) + (-38)\/57. Let o = -179 + v. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**5*d)\/(d\/d**(8\/5))*(d*d**(-1\/2)*d*d)**(-3))**(-16) assuming d is positive.\nAnswer: d**(792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcc when three letters picked without replacement from cccclcllccclccccccl.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 8, -5*q + 4*o - 2*o + 31 = 0. Suppose 2171 = q*l - 1280. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117056195 a multiple of 3164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 13147035979 and 0.06.\nAnswer: 13147035979.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 1\/8 (c) 2 (d) -5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = -3*l - 849, 4*s = 5*l + 1470. Let q = l + 308. Calculate the remainder when 34 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 4) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207*(-3)\/(-3))\/((-6750)\/750)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4005434.\nAnswer: 2, 47, 42611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 28490*w + 9498*w + 9495*w + 9497*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2a31 (base 15) to base 13\nAnswer: -416b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-5))\/(1\/(-5)). Let z = g + -4. Suppose 4*d - 10 = -d. Sort 0, d, z in increasing order.\nAnswer: 0, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*z + 120, 34 + 86 = 4*y + 5*z. Suppose 8*c + y = 3*c. What is the units digit of 2 - (-4)\/c*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/8))**(-1\/13))**(-28) assuming u is positive.\nAnswer: u**(-7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33000564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**2 + 8*g - 2. Let v(w) = -w**2. Determine -b(o) - 5*v(o).\nAnswer: -o**2 - 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5431, -1, 0.\nAnswer: -1, 0, 5, 5431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z)**(6\/13)\/(z\/(z\/(z\/((z*z\/(z*(z\/z**(-1\/2))\/z*z*z))\/z*z))))**(-3\/2) assuming z is positive.\nAnswer: z**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 52*v**2 - 48*v - 151. Let h be d(51). Sort h, -10, 1, 5 in increasing order.\nAnswer: -10, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*m - 28 = -6, 10 = -3*q - 4*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31529801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67674406 - 39394394. Suppose l - 2*p + 21209992 = -2*l, -4*l = 3*p + c. Round l to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 - (-496)\/640. Let n = 1\/8 + u. What is the second smallest value in 4\/7, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7, -30, 1\/4, -13, -2\/5, -4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 34*f + 5 = 29*f, 2*w + 15*w - f - 83 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/3 - 44*r**2\/3 - 178*r\/3 - 136\/3 = 0?\nAnswer: -17, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -537 + 713. Calculate the highest common divisor of 99 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*k**3 + 0*k + 0*k - 93*k**3 - 81*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bomumpbmum. Give prob of picking 2 u and 1 b.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/13 + 368*u\/13 - 10450\/13 = 0. What is u?\nAnswer: -209, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - 24 = 0. Let c be (110\/(-44))\/(1\/2 - 0). Let x be ((c\/10)\/(-1))\/((-2)\/(-16)). Solve -2*z = 3*q, b*z + 7 = 3*z - x*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131321 - 75609. List the prime factors of k.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 28*n**2 - 186*n + 4. Let o be f(17). Let w = -47 - -572. What is the greatest common factor of o and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212644 + 84266 = 18*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3421358*h**3 + 4393861*h**2 + 1 wrt h.\nAnswer: 20528148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 342209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 19753399.4?\nAnswer: 19753402.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 + 178422*j - 178420 = 0. Calculate j.\nAnswer: 1, 89210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 6. Let n(v) = -4*v**2 - 2*v + 1. Let s be n(1). Let j be g(s). Let l = 24 - j. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 76*u**2 - 74*u**2 + 140*u**2 in the form w*u**2 + z*u + c and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrar when four letters picked without replacement from nnrnarrnrnnnr.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 47 = -3*g, 616*g - 2 = 614*g - 3*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 8. Suppose -3*w + 27 = -f*g, 2*g + 5 = 2*w + 3*g. Let z be w\/6 - (-8)\/(-24). Is z greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5974 and 20600?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*x = -61, -3*x + 93 = -4*z + 376. Let t = 83 - z. Which is smaller: t or 11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518603 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6925 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 27. What is y(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -399\/4 - -101. What is the smallest value in -0.5, 1, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 6*p - 4. Let q(y) = 13*y**2 - 3032*y + 20. What is q(w) + 5*s(w)?\nAnswer: 3*w**2 - 3002*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 11*i**2 + 14*i - 27. Let r(a) = -6*a + 11. Let k be r(0). Does 67 divide x(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903 - (-4 + (-9)\/(-3))*1 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/3)\/(2 - 0). Suppose 49*n - 54*n = d. Suppose n = 5*k + k. Solve 0 = t - 3, k*b + 2*t = -4*b - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98 + 206 + 106)*(-5*b + 4*b - b) to t + l*b and give l.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p**3 + 23874*p**2 - 10827*p - 13014 = 0 for p.\nAnswer: -6\/11, 1, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 718966841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8021252063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 4280?\nAnswer: -4301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 359 and 21.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-24))\/(4\/(23 - 59)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 4 + (-25*1 - 1). What is the hundreds digit of 5199\/15 + 15\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1317*i - 34441 + 950 - 16900 = 19410 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 128 = 758. Suppose -3*u + 0*u = -o. Suppose 2*s + 5*h - 35 = 0, -5*s + 0*h = -5*h - u. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61743517 (base 8) to base 15\nAnswer: 12394ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:57 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 892.856 - 893. Let u = -76112 + 76112.143698. Let z = m + u. What is z rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-5)*((-28)\/(-10) + 237\/(-165))?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42565 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r - 40*r - 2*r + 10*r - 81*r**3.\nAnswer: -81*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 328 + -328. Which is greater: y or -31?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -1)\/((-17)\/17). Solve -5*j = y - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 14*y**2 + 11*y - 14. Does 6 divide p(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 12*k**2 + 2*k. What is v(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2514 - 2316.1. Let o = 81.2 - f. Let p = -116.219 - o. What is p rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + cb42?\nAnswer: cb49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 - 981*c**4 - 43646*c**3 + 258284*c**2 + 21380424*c - 21594080 = 0. Calculate c.\nAnswer: -934, -34, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3321 - -2?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*u, 2*m + 2*u - 439 = -3*m. What are the prime factors of m?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 6. Let i be c(-11). Let u = i - 12. Put u, 3\/4, 0.4 in ascending order.\nAnswer: 0.4, 3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147214 divided by -2?\nAnswer: 73607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(24\/(-10)))\/(((-4)\/(-2))\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 20 = 3059*z - 3056*z, a + 50 = 3*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, 9, 2, 4, -3\/2 in descending order.\nAnswer: 9, 5, 4, 2, 0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 11*o**5\/20 - o**4\/6 - o**3\/6 + 25*o**2. What is the smallest common multiple of 12 and n(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 16*p**2 - 40*p - 734. List the prime factors of u(-38).\nAnswer: 2, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 154.1. Round t to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002122204 rounded to six decimal places?\nAnswer: 0.002122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in 239, -2\/9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3 - 7882518*b**2 + 31530111*b - 23647590 = 0. What is b?\nAnswer: -2627510, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g - 190. Let q be s(32). Suppose -2*a + 4*a = -c, 5*c + 16 = -2*a. Let o(n) = -n**2 - 4*n + 3. Let f be o(c). Solve 0 = q*d + f*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u**2. Let c(k) = -9*k + 29. Let g(y) = 99*y - 327. Let l(a) = -45*c(a) - 4*g(a). Calculate l(z(w)).\nAnswer: 135*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -42 - 42 - 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**7\/42 - 7*s**3\/6 - 4*s. Find the second derivative of r(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -1, -0.7, -0.35 in descending order.\nAnswer: 0.02, -0.35, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, -27 in descending order.\nAnswer: -2, -12, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18443 (base 15) in base 10?\nAnswer: 78588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.3 - -4.3. Let b = v + 7.99999922. What is b rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15577*i*p**6 - 6*i*p**2 - 4*i + 2*p**6 + 2*p + 2485 wrt p.\nAnswer: -1869240*i*p**3 + 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-49)\/(8232\/112) - (-315808)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = -n, 12*x - 28 = -4*n + 7*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*i = -285*i - 658. Solve 316*d = 323*d - i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (23\/((-391)\/(-306)))\/(1\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-47)\/(112800\/(-28820)) - (1 - -11). Let v(z) be the third derivative of -s*z**6 - 1\/4*z**4 + 3*z**2 + 1\/3*z**3 + 1\/12*z**5 + 0 + 0*z. Calculate v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*m - 238 = -267*m. Let n = m - -122. Let y = 1 - 1. Solve y = -2*b, 2*z + 3*b - n = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -88, -204, -376, -610, -912, -1288?\n\"Answer: -g**3 - 19*g**2 - 2*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m. Let c(p) = -18*p**2 + p + 3. Let s(k) = -c(k) - 5*f(k). Suppose -217*z = -58*z - 159. Determine s(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201936 (base 11) in base 6?\nAnswer: -214521535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 772 = -l. What is l rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/11 - 18*i**2\/11 - 16*i\/11.\nAnswer: -2*i*(i + 1)*(i + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5223.\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - 0.52. Let v be (9\/(-7))\/(-1) + -1. Let u = -250 - -246. What is the biggest value in v, y, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from vvarwyrrevew.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 683 or 681?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -3710 (c) 2 (d) -0.4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (7 - 11)) + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 7, 1, -6\/103?\nAnswer: -6\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3*j - 14*c**3 - 611*c**2*j + 135871*c**2 - 1890*c*j wrt j?\nAnswer: c**3 - 611*c**2 - 1890*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 20*c = 5*l - 21, -4*c - 4*l = -28. Let z(y) be the first derivative of 1\/4*y + 3\/16*y**c + 29 + 1\/24*y**3. Find u, given that z(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 19 + 13 = 0. Let j(h) = -h**3 + 7*h**2 - 9*h + 15. Let w be j(d). Is w at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s**2 + 8*s + 4. Let p = -72 + 90. Suppose 308 = -14*g + p*g. Calculate the remainder when g is divided by h(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 160 = 3*j. Solve -2*m + 22 = -0*m - 5*l, 4*m - 4*l = j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.9804 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**1\/o**(2\/9)*o*o\/(o**(-2)\/o)*o**4*(o\/(o*o**1*o*o))**(-27)\/((((o**(-3)\/o)\/o)\/o)\/(o\/((o*o**(-2)*o)\/o))) assuming o is positive.\nAnswer: o**(889\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 527 from -55996011.46.\nAnswer: -55996538.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*t + 3 - 2, 4 = -2*z + 2*t. Let k be 1 - ((z - 3) + -5). Suppose 5*v - k = v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*t**2 + 12*t - 12*t + (0*t - 2*t + 4*t)*(t + 1 - 1).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 50 = -5*v, 0*v - 8 = 2*v. Let o(p) = -p**2 + 11*p - 2. Let x be o(10). Suppose -x = 2*m - 0*m. Do m and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -24, -3*i + 484*q = 485*q + 582. Which is the smallest value? (a) -8 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 15*n - 15*n + 40*n - 87*n**3.\nAnswer: -87*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15db8 (base 14) to base 13\nAnswer: -1bc6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (0 + sqrt(343))**2)*-2.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 3914934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2966 divide 40275314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20223 + 1233030102?\nAnswer: 1233003213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143106 - 14203. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 4*y**2 + 2*y + 2*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Suppose n + a = 3. Let j(k) = -4*k**3 - 8*k**2 + k + 7. Let i(c) = c**3 + c**2 - 1. Let q(h) = 5*i(h) + j(h). What is q(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 5. Let p be x(4). Let b = p + 39. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 26\/11, 360 in descending order.\nAnswer: 360, 26\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/2 (c) 1\/3 (d) 33\/80 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 - 17*f - 2. Let j(x) = x**3 + 2*x**2 + 3*x + 10. Let m be j(-3). Let i(a) = 3*a**2 - 11*a - 1. Calculate m*i(o) + 5*z(o).\nAnswer: o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2796 + -2796.02326. Round j to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 659, 688, 715, 752, 811?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*r\/r**(2\/5)))\/r)**(2\/55))**38 assuming r is positive.\nAnswer: r**(-228\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*m**3 + 15*m**3 - 4*m**5 + (0*m**5 - 2*m**5 + 3*m**5)*(0 - 5 + 0).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26870088 by -2632.\nAnswer: -10209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c - -a?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 240124.8 * 0.254.\nAnswer: 60991.6992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*y + 128910, -3*b + 90926 = 6*y + 13562. List the prime factors of b.\nAnswer: 2, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 - 40 = 5*h, 3*v = 2*h - 64. Let i be (-6)\/v + 13\/(-3). Sort -6, i, -1 in decreasing order.\nAnswer: -1, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 1283698\/1080245 + -446749860170017\/1991971780. Let a = p + 224274. Let f = a - 111445\/16596. Calculate the common denominator of f and -81\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, 4, 2\/25, -0.4.\nAnswer: -0.4, 2\/25, 2\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(0*g**5 + 4*g**5 + 0*g**5) - 8*g**5 - 23757*g**2 + 23757*g**2.\nAnswer: -16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(2*sqrt(72))**2 - (-5*(sqrt(2) + sqrt(12)\/sqrt(6))**2 - (sqrt(14)\/(-1*sqrt(7)))**2).\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-15))\/((-14)\/(-84)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(-4*sqrt(56)\/sqrt(7)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 374, 377, 388, 413, 458, 529, 632, 773?\n\"Answer: s**3 - 2*s**2 + 2*s + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 4*t**2 - 4*t - 6. Let w be f(5). Let j = -33 - -67\/2. Let d = j + -3\/10. Which is the nearest to -1? (a) -3 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.9. Suppose 3*n - 8 = 1. Let q = 3499 - 3494. What is the biggest value in q, s, 1\/2, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)\/m)\/m*((m\/(m*m*((m**(-1)\/m)\/m*m)\/m))\/m)\/m*m*((m*m\/(m\/(m\/m**(1\/4)*m))*m)\/m*m)\/m*m**(3\/10) assuming m is positive.\nAnswer: m**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:44 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 360 + 2*h + 19*h**4 + 9*h**2 - 8*h**2 + 357 to the form x*h + r*h**3 + i*h**2 + t + l*h**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*j - 17, -4*w + 5*j = -237. Find the third derivative of 144*b + w*b**5 - 63*b**2 - 144*b wrt b.\nAnswer: 3780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 11*d - 35. List the prime factors of r(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 10 = 2. Suppose 2 = 288*m - 290*m, 5*r = m + 1. What is the tens digit of (-5 - (r + d))*(-297)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 * 5.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (-12 + 15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/((-9)\/6). Let v be 3*(-1)\/(b + -2). Suppose 5*z - 95 = -i - v*i, -i = 0. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1666 = -3*s - 5*m, 2*s - 830 = -m. Suppose -s = 6*o + 486. Let j = o - -257. List the prime factors of j.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(972) + sqrt(972) + -2*sqrt(972))*4 - -1*(sqrt(972)*-1 - sqrt(972)))\/(-3*(sqrt(60)\/(-3*sqrt(10) - sqrt(10)) - sqrt(6))*6))**2.\nAnswer: 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 124643776?\nAnswer: -124643771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-6 + 0)*-855?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*l = -20, -3*l + 2*l - 14 = -y. Suppose g = 4*q + 8 - 2, -q - 10 = 4*g. Calculate the remainder when (161 + q)\/3*1 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 10:00 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*2*(sqrt(704) + sqrt(704)*-1 + -5))**2.\nAnswer: 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)\/(13 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(0 - (40 - -1)). Suppose 4*s + t = 109. Let h = 1880 + -1812. What is the greatest common factor of h and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3797.9 + -3798. Which is the nearest to g? (a) 2 (b) 3\/4 (c) 7 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7208 - 7153. Let b(a) = 2*a**2 + 2*a - 5. What is the least common multiple of b(-5) and c?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46)\/8 + (-2)\/8. Let d(r) = r**2 + 3*r - 14. Let p be d(s). Suppose p*i - 131 - 405 = 0. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 3. Let l be p(2). Let o be (4 + l)\/(2\/(-16)). Let j = o - 3. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 - 714\/35 - (-5 + -4). What is the nearest to l in -4, 6\/337, 2?\nAnswer: 6\/337","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10908 is divided by 984?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210319, -210543, -210925, -211471, -212187, -213079, -214153?\nAnswer: -215415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqq when three letters picked without replacement from pgqsqssmqup.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 483 - 0?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.028403 - 1.\nAnswer: -0.971597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvovovvv. Give prob of picking 3 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3000*u. Let b(d) = -58473*d. Give p(b(o)).\nAnswer: 175419000*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n - 3. Let f(a) = 9*a + 4. Let s(u) = 90*u + 56. Let o(g) = 12*f(g) - s(g). Determine 14*b(m) - 5*o(m).\nAnswer: -6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**2 + 5*h - 18. Let k be v(3). Let u = 1.1 + -0.1. What is the second biggest value in -1\/6, u, k?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 782*l - 48581. Give v(62).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 11 = -29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*b + 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -9*c - 26, -59*c + 60*c + 6 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 9381.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*n - 13, -3*a - 3 = 3*n - 6*a. Let s(f) = -f**3 + 9*f**2 + 2*f - 12. Let m be s(9). Let c be ((-1)\/(-3))\/((-2)\/m). Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) + sqrt(68)*3))\/(sqrt(20)\/(sqrt(5) + sqrt(10)\/sqrt(2))).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 409134782 to the nearest integer?\nAnswer: 20227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/5 and 80 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 64.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52397, 48192, 43987, 39782, 35577, 31372?\nAnswer: 27167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 4*n + 3704196*v - 3704203*v, 3*n = 3*v + 51 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 - 7*n + 4. Let q be z(-7). Suppose -72 = -7*a + q*a. Suppose 0 = p - a - 9. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 37*c**2 + 46*c + 363. Calculate g(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**2\/2 + 11*c - 2. Let m(i) = -i + 22. Let b(n) = -n + 15. Let u be b(12). Let s(j) = u*m(j) - 5*t(j). Give s(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x - 7*x + 16*x - 13. Let w be g(-8). Let v = 529\/1267 - -2\/181. What is the nearest to -0.1 in 4, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 11:25 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1203 (base 6) to base 2\nAnswer: 100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 60, -2, 4 in descending order.\nAnswer: 60, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30388504 is divided by 169768.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 7*v**2 + 7*v + 8. Let r be k(-6). Suppose 2*q + 4*l = 16, -q - 3*l + 7 = -2*q. Let b be q - (1 - (3 - 3)). Sort 3, r, b.\nAnswer: b, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*b + 122*b + 3*d - 1, d + 3 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1136447*c**2 + 568221*c**2 + 1 + 568215*c**2 - 1.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*x - 20 = 0, q - 4*x - 5 = -5*x. Suppose 3*d + 0*s = s + 4589, 5*s - 20 = q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2464 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*f = -17, -9 + 44 = 3*c - 8*f. What is the closest to 0.1 in -0.19, c, -3, 0.4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*v**5\/5 + 2596*v**4 + 723878*v**3\/5 - 246776*v**2 + 497016*v\/5 = 0. What is v?\nAnswer: -2106, -59, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18207, -36414, -54615, -72804, -90975, -109122, -127239?\n\"Answer: y**3 - 3*y**2 - 18205*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6890 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 56 - 246 + 65 + 66 + 4*n + 61. Let q = -29 + 23. Let b(d) = -8*d - 4. Give q*b(y) - 13*s(y).\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5881?\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -5 + -12 + 15 - 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91\/132 - 5\/12. Let r = -5 - -9. Let w be (4\/(-6))\/(r\/(-6)). Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 + 22*j**2\/5.\nAnswer: 2*j**2*(j + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 75*g - 281. Suppose 2*b - b = 0. Suppose b = 5*a - a - 48. What is the remainder when y(5) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -40. Let u = -21 - j. Sort 5, u, -5, 4 in decreasing order.\nAnswer: 5, 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -134*t - 799. Calculate s(-7).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*h - 18 = 0, 5*h + 6 = -2*k + 30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-28)*(-1477)\/(-33549)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 4, -7 = 4*a + a - 4*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 35*b - 21*b)*(-6 + 8 + 72) in the form d + v*b and give v.\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 1835 = 17*f - 1904, 34 = -2*c + 8*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1039316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5420 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 152, 5668, 18 in increasing order.\nAnswer: 5, 18, 152, 5668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from ayyyayayayyayaayaaaa.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.414725*0.2.\nAnswer: 0.082945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -183*n + 1089. What is j(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/2 - 4551*r**2\/2 - 850491*r + 852768 = 0. What is r?\nAnswer: -846, -672, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 0) + (-201 - 113 - -334).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235599 (base 10) in base 8?\nAnswer: 714117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 597 + (1 - 4) - (-9)\/9. Suppose 7*v - 14*v = -n. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/40*(6 - (-2 + 2)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8) + 38 + -119 + 79 + 25?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - x - 1, -3 = -3*s + 4*x + 1. Let k(w) = -2*w + w**3 - 251*w**2 + 1 + 252*w**2 + s*w**3. Let m be k(0). Is 24\/13 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - -12 - 21) + -1 + 43608 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/19)\/n)\/(n**(-20)\/n)*n**(-10)\/n*n\/(n*(n\/(n**16*n*n*n))\/n) assuming n is positive.\nAnswer: n**(536\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 1 + 9. Suppose -m + 4 = 3. What is the highest common factor of m and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1.52, -0.2, 14, -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from lshhz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37173 + 2143?\nAnswer: -35030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 + 25*g - 3300. Let h be c(-32). Suppose n - 5*n = -b + 19, 0 = n + 5. What is the biggest value in h, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.09 + -0.21. Let h = 0.3 + j. Let f = -0.408 - -0.408. What is the second biggest value in 0.3, h, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -18, -34, -1, -5 in increasing order.\nAnswer: -34, -18, -17, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736626 divided by 42.\nAnswer: -122771\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose 3*q = 3*u + 18, -6*q + a*q = -5*u - 20. Is u + (-24)\/(-2 - 1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*o + 29040 = -16*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 - 17*m**5 - 2*m**5 + (-4*m**4 + 9*m**4 - 26*m**4)*(-1 - 2*m + 1).\nAnswer: 27*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 74.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 312*x - 381*x + 590019. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-69)\/46*(-6)\/((-18)\/29)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 1292*x + 200970. Calculate j(385).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from ttppppp.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 195 = 45*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:14 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 1274 = -110*q + 83*q - 39*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -31. Suppose 4*g = -4*p - 32, -f*g - 4*p - 39 = -2. Let i(y) = 8*y**2 + y - 1. Is i(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 - 38 - 106)*(-2*o + 2 - 2) + (-3*o + 2*o - o)*(-9 - 3 - 3).\nAnswer: 512*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*q**3*v + 5597*j**3*q*v**2 - 5*j**2*q**3*v**2 + 43*j**2*q - q**3*v**2 + v wrt j?\nAnswer: 12*q**3*v + 33582*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -65, 0.\nAnswer: -65, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o - 7. Does 3 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-27)*-13*12\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 4 = 5*b + 4*u, 0 = -u. Suppose 0 = h + 2 - 3, 15 = b*x + h. Solve x*o + 10 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 + 6960*u - 1538420 = 0. What is u?\nAnswer: -1586, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 15*f + 172. Suppose 0 = 7*y - 9*y + f. Let q = -20 + y. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(243) + ((2*sqrt(135))\/sqrt(5))**2 - (3 + -3*sqrt(2700))).\nAnswer: 101 + 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12102002 (base 3) to base 5\nAnswer: -111234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -s - 11718. Does 73 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 24. Does 9 divide 8\/s - (-79)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 16*w. Let n(z) = -5*z**3 + 13*z**2 - 95*z - 2. Determine -n(o) + 6*x(o).\nAnswer: 11*o**3 - 13*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h + 20. Suppose h*u - 37 = -o - 0*o, 5*o + 65 = 5*u. Suppose -u = -3*q - 4. Solve -4 = -q*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 429877*i - 1856720 with respect to i.\nAnswer: 429877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 - 136*m**2 - 177*m - 44 = 0. Calculate m.\nAnswer: -44, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -212111012 (base 3) to base 6\nAnswer: -211135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.32 + 61.68. Let i = s - 99. Let r = -36.0075 - i. Round r to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -22473 divided by 33.\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2 - 2)*(-6*z + 11 - 11) - 101 + 101 - 17*z**2 + (-2*z + 4*z - 4*z)*(-3*z + 9*z - 2*z).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657961859.\nAnswer: 199, 3306341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 342300*r - 342300*r. Let f(c) = c. What is i(f(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 - 11) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106351 - 6?\nAnswer: -106357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -21*q**2 + 15*q. Suppose -27 = -3*m - 2*c + 155, 3*m - 178 = -c. Let i be m\/(-29)*-1*1. Let f(g) = -3*g**2 + 2*g. Give i*z(s) - 15*f(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(42\/7))\/((-119)\/34)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than or equal to 170084684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x**2 + 5 - 2*x - 5*x + x**2. Let j be f(7). Suppose 3*v = -5*w + 27006, j*w - 4*v - 34532 + 7540 = 0. Round w to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovvoo. What is prob of picking 2 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*l - 162 + 103 + 11*l)*(0*l**2 + 2*l**2 - l**2) to y*l**3 + i + t*l + s*l**2 and give s.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j - 36. Let u = 71 - 79. Let q be x(u). Let d = -31 + q. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/104 + 158\/240)\/((-24)\/(-50)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by -8*(-4)\/8 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274001 plus 212187.8?\nAnswer: -61813.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 7. Suppose 1 = 3*v - a. Suppose -v*r + 6 = -2. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119434455 rounded to 3 dps?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*o - 1228*o - 149000 = -181*o for o.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558*z + 234*z - 123828 = 185*z. Suppose 0 = -0*k + k - 68. What is the highest common factor of z and k?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128551*h**2 - 127276*h**2 - 2675*h + 751*h wrt h.\nAnswer: 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-80)\/90 - -5)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 17*s**2 - s + 1. Let q = -176 + 177. What is the tens digit of v(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010802277 rounded to seven decimal places?\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -0.11, -2\/381?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 3. Let v be s(-3). Suppose -b - 20 = -v*b - 4*k, -k = -3*b - 5. Suppose 3*h + 9 - 30 = b. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x - 462. Determine p(65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/((-190)\/30). Let k(o) = o**2 + 4*o. Let d be k(-6). Suppose 4*g = -5*v + 3, g - d = 5*v - 5. Are v and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/518 and -73\/56284.\nAnswer: 14577556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 + -366. Let p(y) = 6*y + 104. Let d be p(a). Solve d*i - 5*h = 25 - 8, 3*i - 2*h - 9 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 18*z**2 - 48*z - 276. Calculate p(-8).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79\/45 + 152\/135. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47b13e (base 15) to base 4\nAnswer: 31011032210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 11*t - 14*t - 6*t as i*t + c and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1147.935726 milliseconds to weeks.\nAnswer: 0.000001898041875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 23. Suppose -x = -j - 2*w, 0 = -3*j - 2*w - 6 + 55. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 11*q - 5*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10163033 (base 7) to base 6.\nAnswer: -30202025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220022221 (base 3) to base 10.\nAnswer: 17737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.013 + 0.113. Is -1\/17 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108, 177, 242, 297, 336, 353, 342?\n\"Answer: -k**3 + 4*k**2 + 64*k + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r**4 + 20*r**3 - 35*r**2 - 20*r + 20 = 0. What is r?\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9))**40*o**(5\/2)\/(o*o**(3\/7)) assuming o is positive.\nAnswer: o**(-985\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 492, 960, 1790, 3024, 4704, 6872?\nAnswer: 9570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**4 - 354525*d**3 + 1418040*d**2 - 1418020*d = 0?\nAnswer: 0, 2, 70901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g - 9. Let w(m) = -4*m - 9. Let a(y) = -2*f(y) + 3*w(y). Let l be a(-3). Let h be l\/6*(1 - 19). Solve 0 = k + 2*k + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/2553642 and -13\/43652?\nAnswer: 5107284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 3)*(6*x + 0*x - x)*(-10 - 7*x + 32 + 5*x).\nAnswer: -50*x**2 + 550*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -9*a**4\/8 + 7*a**3\/2 - 4*a**2 + 2*a - 4. Suppose i(q) = 0. Calculate q.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*x + 12 - 7, 40 = 3*g + 5*x. Sort g, 4, 59, -1 in decreasing order.\nAnswer: 59, g, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z - 4*z - 40*z + 18 + 15.\nAnswer: -77*z + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34436*u**2*x + 488*u*x**3 + 164*x**3 + 53429*x wrt u?\nAnswer: 68872*u*x + 488*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*y + 2*y**2 + 61*y - 5*y)*(-6*y**2 + 0 + 0).\nAnswer: -12*y**4 - 126*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267197167*w - 267197167*w - 546*w**3.\nAnswer: -546*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 725 - 53. Suppose -3*p + d = 3*u + p, -u - p + 225 = 0. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, 3\/22, 0.5 in descending order.\nAnswer: 0.5, 0.3, 3\/22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 85, 186, 327, 508?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2 (c) 6 (d) -0.3 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*m + 19 = 0, 6 = 3*d + m + 2*m. Let x(l) = -l**2 - 1. Let i(w) = 2*w**2 - w + 6. Let y(q) = d*i(q) - 3*x(q). What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 343 = 127. What is the remainder when 140 is divided by h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 23*o**2 - 5*o + 3. What is the tens digit of x(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1813 divided by -344185\nAnswer: -1813\/344185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 8*o + 3. Let p be s(-7). Let z be 10\/p + 68\/18. Suppose n = -z*y + 22, -5*n - 3*y + 93 = -0*y. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36107 - 24897. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w - 323 = -3 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**4 - 4*a**3 - 108*a**2 + 324*a - 216 = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -63, -135, -235?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let r(u) = u**2 - 2*u + 3. Let b be r(f). Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 143017*o**2 - 4*o - 572068.\nAnswer: (o - 2)*(o + 2)*(o + 143017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5303)\/(-3) + (-316)\/(-948)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7528698381\/808 - 9317694. Let y = d - -11\/101. Is 3 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922*i**3 - 130*i + 4 - 147*i - 131*i + 426*i.\nAnswer: -922*i**3 + 18*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -19*b**6\/120 - 13*b**5\/60 - 8*b**2. Find the third derivative of i(u) wrt u.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26047 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from zczm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 3. Let n(l) = 2*l + 1. Let o be n(-3). Let f be y(o). Suppose -4*z - 7 = -q, 5*z = -f + 7. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/15 - 998*i**2\/15 + 15846*i\/5 - 44526\/5 = 0. What is i?\nAnswer: -543, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = -40. Let h(k) = -3*k**2 - 6*k - 3. Let n(y) = -y**3 - 3*y**2 + y + 6. Let b be n(-3). Let p(s) = s**2 + 2*s + 1. Determine b*h(x) + j*p(x).\nAnswer: -x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4 - 2080*h**3 + 32616*h**2 + 155488*h + 163840 = 0.\nAnswer: -2, 20, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 83*u**3 + u**2 + 303*u + 302. Give h(-1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1455582*t**3 + 79946*t - 2 wrt t.\nAnswer: 8733492*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 389479701 a multiple of 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4521533\/60 - 75357. Let p = m + -13\/12. Sort -3\/8, p, -1 in descending order.\nAnswer: p, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5.31 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 25*k**2 - 4*k - 47. Let s(w) = -w**3 + 18*w**2 + w - 43. Let u be s(18). Is m(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4023*v**4 + 1308*v**3 + 4667187.\nAnswer: -16092*v**3 + 3924*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 - (4 + -3) - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3*m**2 + 0*m**2)*((-m**3 - 2*m**3 + 6*m**3)*(-3 + 3 + 7) + (2 - 2 + 2)*(-79*m + 79*m - 24*m**3) - 2 - m**3 + 2).\nAnswer: 28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -0.3, 2 in increasing order.\nAnswer: -35, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50291 is divided by 50279.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q - 3. Let g be b(-4). Let j = 19 + g. Let p be (j\/(-119))\/(6\/(-21)). Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -65487*l + 130995. What is i(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8*h. Let n(x) = -x + 2. Let q be n(h). Suppose -3 = -q*w + 3. Solve 4*k + 0*k = f - 24, w*f - 2*k = 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 4:45 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 522 - 482. Calculate the greatest common divisor of 365 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -201 - 3?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 177?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 17 - 62 = 0. Let y be -2*((-1)\/(-1) + 1). Let w = y + k. Solve 10 + 5 = w*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - l - 3. Let s be h(3). Let n(p) = -p**3 - 7*p**2 + 8. Let q be n(-7). Let v = 14 - q. What is the greatest common factor of v and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 734 - 790. Let m(a) = 13*a**2 - 9*a + 2. Let y(s) = 19*s**2 - 13*s + 3. Give d*m(u) + 5*y(u).\nAnswer: 4*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - -1000011011110111?\nAnswer: 1000011100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54698 is divided by 70.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 - 55. Let m be ((-1)\/(-3))\/(2 - h\/60). Suppose 2*g + 2*g - 6277 = 5*a, 3*a = m*g - 6267. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349259578.\nAnswer: 2, 31, 5633219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 382911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -35. Suppose s = -3*x + 5*x + 6200. Round x to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 191\/335 + 2\/67. Factor 0 + 3\/5*y - 6\/5*y**2 + f*y**3.\nAnswer: 3*y*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - w + 2. Let q(a) = 4*a**2 - 3*a + 5. Let b = 97 - 90. Let k(u) = b*t(u) - 2*q(u). Give k(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 77, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhxlllxmddxdh. Give prob of picking 2 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 4*f. Sort -2, f, -3\/2 in ascending order.\nAnswer: -2, -3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119.4444 times 0.02\nAnswer: 2.388888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-189)\/70)*6\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(273)\/(sqrt(7)*1) + sqrt(39) + (sqrt(39) - (sqrt(351) + sqrt(39)))*4 + sqrt(39))\/(3*(1*sqrt(243) + sqrt(243))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0\/4) + -87. Let i = -34 - q. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2681.41826 and -0.4.\nAnswer: -2681.81826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.05696447 - -187683\nAnswer: 187682.94303553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -263085529 rounded to the nearest one hundred thousand?\nAnswer: -263100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:43 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**5*q**2 - 138*o**5*q - 5*o**2*q**2 - 10*o**2*q wrt o?\nAnswer: -120*o**2*q**2 - 8280*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9764 + -0.0236. Suppose 4*o - x = -15 + 2, -5*x - 11 = -o. Which is the closest to h? (a) 0.4 (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/3))**(-20)*(c**(2\/5))**23 assuming c is positive.\nAnswer: c**(-362\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 12, 20 in descending order.\nAnswer: 91, 20, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.4, -3\/4, -13, 1786?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4152 by 2.\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319.001762 - -319. Round j to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 475 = -3*o, 4*o + 19 = -4*q + 399. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -11*y + 293. Which is bigger: 45 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -30. Suppose z = 2*i - 3*f, -2*f - 1 = 3. Calculate the remainder when 13 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -31676*u**2. Let m(h) = 2*h. Calculate m(t(p)).\nAnswer: -63352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 45 = 4*b + 35, 5*b - 7*o = -138 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.1. Let k = -403\/5 - -80. Which is the second biggest value? (a) v (b) k (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1 = -5*c + 19, -3*c = b - 8. Find the second derivative of 0*w + w**b + w**2 + 3*w - w wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1208*b + 902*b + 895*b)*(3 + 21*b**3 - 3).\nAnswer: 12369*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7671 or -28655?\nAnswer: -7671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47c4 - 1b97?\nAnswer: -668b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -148\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (680*(-175)\/(-14000))\/(-2*(-1)\/(-20))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/24 - z**3\/3 + 3*z**2. Let m be r(6). Solve 3 = -m*n + 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 27*b**2 - 45*b - 162. What is the remainder when m(-28) is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 674 - 394. Let x = -1185085717.2 + 1185085437.19999746. Let l = c + x. What is l rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k - 2. Suppose -3*j + 3*q - 174 = 0, -2*q - 255 = 9*j - 4*j. Let u = j - -57. Suppose u*m = 10*m + 30. What is y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819218201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3 + 16*m - 594 wrt m.\nAnswer: 6*m**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {y: 2, e: 6, x: 3, w: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 37) + -7 + (-12 - -25)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-111)\/819 + -14*24\/(-1456). Find j such that -k*j**2 + 52\/21*j - 338\/21 = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {m: 1, p: 3, e: 2, i: 2, r: 4, f: 6}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29973, -29972, -29971, -29970?\nAnswer: -29969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1635, 1, -348, 5 in descending order.\nAnswer: 1635, 5, 1, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/40 and 125\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4163 + 12490\/3. Find d such that -k*d + 1\/6*d**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -95*q**2 + 4*q + 5. Let y be c(-4). Suppose 5*n - 11352 = -o, -3*o + 2262 = 3*n - 2*n. Let j = n + y. Round j to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/10, 800, -4, -2\/15, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 3:24 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 20, -3*u = -3*q - q - 19. Let d = -8 - -12. Calculate the smallest common multiple of (u + 1)*(-8)\/(-2) and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (-2 + sqrt(72) + -5 + sqrt(72)))**2*-4 + (-1 + sqrt(288) + sqrt(288))*2 + -1 + 1 + sqrt(288).\nAnswer: -486 + 396*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-35))**(9\/2) assuming i is positive.\nAnswer: i**(-315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -41544478.84\nAnswer: -41544474.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) 5 (b) 13892 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4361171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 322262320*b + 322262316.\nAnswer: 4*(b - 80565579)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 5*g**2 + 7*g + 3. Let n be k(6). Suppose 8*o + 2640 = 5*w + n*o, -w - o + 532 = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37361173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*s**3 + 94*s**2 + 43*s**3 - 3*s - 71*s**3 + 3*s.\nAnswer: 36*s**3 + 94*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-6) + 3\/6. Suppose -v*h + 71 = -114. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 53. Let c(q) = -5*q**3 + 3*q**2 - 3*q - 3. Let d(p) be the first derivative of -6*p**4 - 14*p + 14\/3*p**3 - 7*p**2 + 5. What is n*c(g) + 6*d(g)?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3625 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**2 + 22*n**2 + 14*n**3 - 47*n**2.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15936402 - 8557402. Round k to the nearest one hundred thousand.\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1394 = 2*l, 5*l + 6970 = 5*w + 10*l. Calculate the greatest common factor of w and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (2\/6)\/((-16)\/(-864))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 d when four letters picked without replacement from hodhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -18810 and 1.248174997.\nAnswer: -18808.751825003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 times 176582\nAnswer: 1942.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 104\/28 - (-2)\/7. Let r = 136 + 61. Suppose o = 3*j + 40 + 4, z*o - r = 5*j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 1 - (25 + -66 + 23) - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1233733214.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.55 and -0.036?\nAnswer: 2.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 + -177. Let x be 66\/4 - m\/(-62). Solve -23 = -5*t - 5*i - 8, 0 = 2*t + 4*i - x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 1, 4142784, -2 in ascending order.\nAnswer: -45, -2, 1, 4142784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122330 + 0?\nAnswer: -122330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5 times -9?\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 473 - 7\/(7\/2). Suppose 8*w = 5*w + a. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1484 = -500. Let z = h + -382. Suppose z = 120*y - 118*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from qqqpellcqzzppqp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*b - g - 2594 = 393, -4*b - 99 = -2*g + 47 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**37)**(-3\/7)*((w**(-3\/17)\/w)\/w)**(-36) assuming w is positive.\nAnswer: w**(7437\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -1499, -3009, -5121?\nAnswer: -7835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60754091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 128, 119, 104, 83, 56, 23?\n\"Answer: -3*d**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7388 is divided by -48*(1 + 8\/(-48)*10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/51)\/(((-2)\/6)\/((-81)\/(-324)))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 - 63*h**4 - 399*h**3 + 183*h**2 + 1296*h + 780 = 0 for h.\nAnswer: -5, -1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2.51, 2\/7, -30?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)*2*-1. Is c smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096245.\nAnswer: 3, 5, 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-6) - 538\/4. Let r = m + 199. What is the remainder when r is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -64*x - 6909. Let w be s(-108). Determine n so that -6*n**3 + 6*n - w*n**2 - 3\/2*n**4 + 9\/2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -20*o. Let l(k) = 3*k**2 - 262*k + 3. Give t(l(g)).\nAnswer: -60*g**2 + 5240*g - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 0, -7\/4.\nAnswer: -4, -7\/4, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**4 - 3*z**3 - 7166*z - 276511.\nAnswer: 4*z**3 - 9*z**2 - 7166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 15. Let a be (6\/4)\/(d\/(-300)). Suppose 1235 = 5*n - a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*t + 116, -2*t - 2*t = 0. Let l = k + -33. Solve 5*r - l = b, -r - 5*b + 20 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b7 (base 13) to base 3.\nAnswer: -1010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/13 + 6*h**3\/13 + 12*h**2\/13 - 16*h\/13 = 0?\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*h**3 + 236\/7*h**2 + 232\/7 + 466\/7*h.\nAnswer: 2*(h + 1)**2*(h + 116)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/5)\/(2\/35 - (-3540)\/10325).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x - 3*y - 24, 5*x - y - 78 = 0. Suppose 4*z - 26 = -5*j, 5*j - 9 + 3 = z. Differentiate -4 + z*g**4 + 6 - x + 4 with respect to g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = -17*z. Suppose -5*u = -5*p - 4 - 1, p + 2*u + 1 = z. Let v(t) be the first derivative of t**4 - t**3\/3 - t**2\/2 - t - 4. Calculate v(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4618, 9230, 13836, 18436?\n\"Answer: -3*t**2 + 4621*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208912*i - 214051.\nAnswer: 208912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/2 - 89*m**3\/2 + 87*m**2\/2 + 89*m\/2 - 44.\nAnswer: (m - 88)*(m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167481969 - -167481969.083262247. Let m = o - -1.526731873. Let d = -1.61 + m. What is d rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*b + 16*b + 85248. What is the highest common divisor of 144 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-8)\/(-14))\/1)\/2)\/2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (42\/525*25)\/(2*3\/(-48))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppl when three letters picked without replacement from {p: 2, z: 1, l: 7, q: 9}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12*p**2. Let b(m) = -92*m. What is i(b(k))?\nAnswer: -101568*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13814859, -13814861, -13814863, -13814865?\n\"Answer: -2*n - 13814857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 2, n: 1, e: 1, k: 2, v: 1}. Give prob of sequence yke.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l - 4*b - 4, -3*l = 5*b + 5. Suppose -3*w + 3*m + 6 = -0*w, 5*m = 2*w - 1. Suppose 7 = -4*k + w. Sort 3, k, l in decreasing order.\nAnswer: 3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28412 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjjjajjura. Give prob of picking 2 u and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**2 + 961*y + 67. What is m(74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4\/5 (b) -0.04 (c) -2\/2011\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i + 54. Let n be d(8). Put -9, 5, 4, n in ascending order.\nAnswer: n, -9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 32 = -5*p, 34 + 1 = 3*d - 11*p. Let b(u) = 9*u + 1. Let k(l) = -9*l. Let y(m) = 2*b(m) + 3*k(m). Determine y(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 8:44 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3430, -3760, -4090?\n\"Answer: -330*a - 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8566 and 32?\nAnswer: 137056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*m**2 - 3*l**2*m + 90303*l**2 - 11*l*m**2 - 2850479*l*m wrt l?\nAnswer: 4*m**2 - 6*m + 180606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/304? (a) 0 (b) -1 (c) -6 (d) 0.3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180458365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k + 0 - 3 + 3*k**2 - 2*k**2. Let t(u) = -u**3 + 6*u**2 + 2*u - 8. Let a be t(6). Calculate x(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:41 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 - 245099*q + 3. Calculate h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.179 - -0.17. Let u = -3676.009 - -3681. Let w = u - i. What is the second smallest value in -2\/21, w, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 + 228 - 1283*u**3 - 906 + 232 + 221.\nAnswer: -1283*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p + 3*p**4 - 5*p**4 - 2*p - 8*p**4 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 12. Let a be q(-9). Suppose 29 - 8 = -3*r. Is a != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -697, -1393, -2091, -2791, -3493, -4197, -4903?\nAnswer: -5611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:47 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20109, -20108, -20107, -20106?\n\"Answer: k - 20110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) 1 (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 15253490.\nAnswer: -2\/7626745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -46. Suppose n - 6*n = -q. Let o(f) = f**2 - 9*f. Let h be o(9). Solve h = -n*m + 5 + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgc when three letters picked without replacement from cgcgo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g - 24 = 0. Suppose -g*q + 225 = -3*q. Let s = 77 - q. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 44. Let w = d - 21.36. Let c = w + 0.3600019. Round c to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o + 0*o**3 + 0*o**2 + 1\/12*o**4 - 2. Let j(p) be the first derivative of b(p). Let u(z) = -3*z. Calculate j(u(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a. Which is smaller: a or 1\/40?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/1133 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n**3 - 3*n**3 + 2*n**2 + 17*n**3 to h + q*n**2 + a*n**3 + y*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 g, and 1 q when four letters picked without replacement from {q: 4, h: 2, v: 2, g: 4, f: 2}.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose z*t - 85 = -5*t. Suppose -2*h = -6, -3*h + 2*h - t = 5*p. Sort 5, p, 3.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.098 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23 - 1\/1 - (-40)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (310 - 314 - 173\/(-43))*(-15)\/5?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38494552 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 14*b - 95. Let q(v) = 9*v**2 + 69*v - 442. Let l(m) = 14*c(m) - 3*q(m). Suppose y - 5*y = -24. What is l(y)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 2*a = -12, -w - 8 = 5*a. Let g = 7 - 4. Find the third derivative of -5*c - 9*c**g + 10*c**3 - c**w + 5*c wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2501 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -347*g - 18. Let a(b) = -1039*b - 60. What is -4*a(k) + 13*z(k)?\nAnswer: -355*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679 divided by -10?\nAnswer: -2679\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 - 0.8284523816?\nAnswer: -253.8284523816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -86*a**2 + 435*a - 29. Give p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -266, -2, 497, 1\/5, -0.72, -3.\nAnswer: -266, -3, -2, -0.72, 1\/5, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = -0*r. Suppose 2*m - 3*m + 5 = 0. Suppose -6 + 16 = m*p. Solve -2*a + 5*c = r, -p*c = 6*a - 2*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33951 = -50*l + 107549. What is the least common multiple of l and 1981?\nAnswer: 19810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-2 - -3) + -1 + 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 6 + 12 - h - 16*h**4 + 5*h**4. Let q(g) = -g. What is q(t(n))?\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 224. Let z(b) = b**2. What is z(o(h))?\nAnswer: 4*h**2 - 896*h + 50176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, -151, -618, -1533, -3046, -5307?\n\"Answer: -25*z**3 + z**2 + 3*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*a - 127*a = -50. Solve 0 = -2*i + 3*v - 8*v - a, -4*v - 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - q = -7*b + 26, -14 = -2*b + 4*q. Suppose 1 = 2*t - b. Let z = 42 - t. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 1, e: 4, t: 9}. Give prob of picking 1 t, 2 e, and 1 k.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**5\/5 - 15*l**2\/2 - 89*l + 49. Find the first derivative of g(w) wrt w.\nAnswer: -4*w**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 3*a)*(-3 + 3 + 2) + 51*a + 12*a + 37*a + (0 + 1 - 4)*(-2*a + 3 - 3).\nAnswer: 110*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264*d**2*h**2*j**2 + 83922*d**2*j - 7127*d*h**2*j**3 + 16*d*h*j**3 - 2*d*j**3 wrt h.\nAnswer: -528*d**2*j**2 - 14254*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 0*k**2 + 290*k - 290*k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -209875740 rounded to the nearest 100000?\nAnswer: -209900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r)\/r*r\/((r*(r\/(r\/(r**(-4)\/r)))\/r*r)\/r*r)*r*(r*r*r**(-1\/6))\/r*r**(-3)\/r assuming r is positive.\nAnswer: r**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12355446309728 + 3?\nAnswer: 12355446309731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110382 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 49 = r, 4*c + 2*r = -2*r - 20. Let m be (18\/(-8))\/(c\/(-24)). Let q = m + 33. What is the remainder when q is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**5 + k**2 - 4*k**2 + 3*k**2 + 2*k**2 wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160839163\/767 + -209699. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 0*m**3 + m**3)*(2*m - m - 3*m + (-2 - 1 + 1)*(2*m - 2*m + m) + 1 - m - 1).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*n + 11. Let t(d) = -2*d - 1. Let w(g) = -11*g - 49. Let x(j) = -7*t(j) + w(j). Let k be x(n). Solve -4*r + 5*r = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 4) to base 13.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -8508032?\nAnswer: -1\/4254016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5356 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:43 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 7*i**2 - 5*i - 2. Let j be p(6). Let g(q) = -52 - 10*q + 6*q + 45 - 9*q. Let m(l) = -7*l - 4. Give j*g(k) - 7*m(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62103 (base 7) in base 2?\nAnswer: 11101100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 23940*m + 1139904.\nAnswer: 4*(m - 5937)*(m - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u**4\/5 + 4941*u**3 - 2025189*u**2\/5 + 64881483*u\/5 - 727675542\/5 = 0. What is u?\nAnswer: 107\/3, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:20 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 21*t + 30. Let z be s(-18). What is the common denominator of (z\/(-36))\/(36\/(-122)) and 37\/10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106752444 by 4.\nAnswer: 26688111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722 is divided by 198?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 189*g**2 + 98*g + 271. Let u be f(-5). Which is smaller: u or 4507?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 805, 1249, 1693?\nAnswer: 2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -45. Let v = b + 24. Solve -q - u - 7 = -v*q, -u = -3*q - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/((o\/(o**(-12\/11)\/o))\/o)))\/o*o*o*o*o*o*o**(-5)*o*o)**(-1\/36) assuming o is positive.\nAnswer: o**(-5\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1844272136 + 0.08136.\nAnswer: 1844272136.08136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 - -27. What is the remainder when r is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78468741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101110100 - 1?\nAnswer: 111101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95276\/3 - -31759. What is the nearest to 0.1 in -1\/56, 22\/3, 3, m?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o + 28 + 12*o - 8*o - 129 to r + k*o and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*(18\/(-12))\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + -5404?\nAnswer: -5382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 3*t**2 + 2. Let p = 4 - 0. Let v be g(p). Suppose -v = -5*x - 3. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*o - 5*u - 0*u, -2*u = -2*o - 2. Let r be o*1 + 5 + 28. What are the prime factors of r\/6 - (-2)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 10*s**2 - 4*s + 12. Let b be n(-10). Let l(h) = -3*h**3 + 2*h**2 - h + 1. Let v be l(2). Let d = v + b. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -41. Let h(c) = -4*c + 46. Let t be h(m). Suppose z + 2 - t = -q, 4*z - 40 = -3*q. What is the remainder when 31 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -721 - -12259\/17. Which is the biggest value? (a) 0.4 (b) 3 (c) y (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1004, -1861, -2756, -3701, -4708?\nAnswer: -5789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/7 - 162*s**2\/7 - 3510*s\/7 - 9126\/7 = 0.\nAnswer: -39, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 6*l**2 - 7*l + 5. Let n be h(-7). Let a = n + 4. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -1. Let v(t) = 3*t - 1 - i*t + 3. Suppose -j = -0*j + 3. Give v(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*k - 391*k - w - 2*w + 40 = 0, -5*k - 3*w = -0*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 1, t: 5, w: 1, x: 3}. Give prob of sequence ttxm.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let v be (2\/2)\/(k\/5). Let i = -0.8 - -4.8. What is the second smallest value in i, -1\/3, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -154*c + 0 + 2\/5*c**2.\nAnswer: 2*c*(c - 385)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1423.6 - -1424. Let i = 7.91 + 0.09. Which is the second biggest value? (a) h (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2857421696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1989093*s**2 + 1927150 wrt s.\nAnswer: -3978186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 175.0338 millilitres?\nAnswer: 0.1750338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 1 (c) 2\/319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Let x(w) = p - 2 - 5*w - w**2 + 2*w. Let q be x(-4). Sort q, 3, -4 in ascending order.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (273\/28)\/((-2)\/16). Let a = n - -90. Solve -2*v + 4 = -y + v, -3*v + a = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 55\/10 + (-32)\/(-64). Which is the closest to 0.1? (a) -2\/5 (b) 16 (c) w (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**7\/105 + 3*k**6\/20 + k**5\/3 - 3*k**4 - 56*k**3\/3 - 40*k**2 + k. Factor l(n).\nAnswer: 2*(n - 2)*(n + 2)**2*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106\/3 + -35. Let h = 1 + 3. Which is the second smallest value? (a) 2\/9 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -789398, -789400, -789404, -789410, -789418?\nAnswer: -789428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5243*p**3 + 4211*p.\nAnswer: -31458*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*l**2 + 6\/5*l.\nAnswer: -2*l*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-357 - -354) + (0 - -1 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199107 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 - 2*f**3 + 3*f**3)*(0*f - 3*f + 0*f + (3 + 0 - 1)*(f + 5*f - 4*f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -350918140*m + 501518792 wrt m?\nAnswer: -350918140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 678*r - 982. Let p be i(2). Let g = 24 + 10. What is the greatest common divisor of p and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -796, 0.\nAnswer: -796, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3 + (sqrt(2) - (sqrt(2) - sqrt(14)\/sqrt(7))) + -4)**2.\nAnswer: -28*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.825 - -112.535. What is v rounded to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8583.827 + 8592. Let c = 0.073 - v. Round c to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-261)\/348*(80\/920 - 484\/276).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21280 - 21105. What is the remainder when m is divided by 100?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5759\nAnswer: -4\/5759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3. Let a(y) = 1 - 7 + 1 - 2*y**2. Suppose 3*f - 2 = t, 66 = 63*t - 58*t + 4*f. Calculate t*h(b) + 6*a(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -918 equal to -919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -130649*b*f + 35705578*b - 55*f**4 wrt f?\nAnswer: -130649*b - 220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n*n**6*n\/(n*n**11)*n**(6\/7)*n**(-9) assuming n is positive.\nAnswer: n**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12889578 + -0.1289. Round t to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33227\/9 + -3684. Let c be 23849\/(-101535) - (-3 + -1). Let q = 3\/1934 + c. Find the common denominator of q and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.3 (c) -5 (d) 36 (e) 8 (f) 0.109 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**3 - 15 + 15 + 61*c**3 - 329 + 329 + (-4*c**2 + 0*c**2 + 5*c**2)*(3*c + 0*c - 4*c).\nAnswer: 67*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -654, -675, -696, -717?\n\"Answer: -21*n - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 - 4212*u**3 + 96933*u**2 - 2 wrt u.\nAnswer: -120*u**2 - 25272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 44 - (12751\/(-164) - -46).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12356930, -24713859, -37070788, -49427717?\nAnswer: -61784646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -18*d**2 + 3*d. Let o(h) be the second derivative of 1\/6*h**3 - 47*h + 0 + 0*h**2. Determine o(q(s)).\nAnswer: -18*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 292.01261?\nAnswer: 291.81261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j**2 + 63*j - 131. What is x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-14)*(-11)\/(198\/168).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50643 is divided by 154.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-20)*n)\/(n\/(n*n**(-2\/15)*n)*n))**(-1\/4))**(-4\/25) assuming n is positive.\nAnswer: n**(-287\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -890890 and -2.\nAnswer: 1781780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -307, -318, -345, -394, -471?\n\"Answer: -j**3 - 2*j**2 + 2*j - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54518396 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -36*w**2 - 51*w - 80. Let g(y) = 9*y**2 + 12*y + 18. What is -2*a(l) - 9*g(l)?\nAnswer: -9*l**2 - 6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 103 = -2*v + 150, -2*m + 2*v = 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497, 1162, 1825, 2486, 3145, 3802, 4457?\nAnswer: 5110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817731505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 45 = 13*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(2 - (-2)\/(-4)). Suppose -3*t - 4*z + 8 = 0, 4*z - 8 = 3*t - 8*t. Let s be 1\/(t + 1) + (-8 - -4). Sort y, s, -2 in increasing order.\nAnswer: y, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1)**2*-5*4.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 16. Let p(q) = 4*q - 4*q - x*q**2 + 0*q. Let b(r) be the first derivative of 9*r**2 - 141. Give b(p(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-84)\/(-16)*20. Suppose 0*t - t + 38 = -2*g, 3*t - f = -3*g. Calculate the highest common factor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270 (base 11) to base 15\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b**3*l - 10*b**3 - 160*b*l - b + 36 with respect to l.\nAnswer: 7*b**3 - 160*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -480 (b) 29 (c) -11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (2 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -20*z + 1064. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*y + 8, 74*j - 77*j + 17 = -5*y. Let k be (j*4\/(-64))\/((-28)\/16). Factor -k*u**3 + 6\/7*u**2 - 9\/7*u + 0.\nAnswer: -u*(u - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*i - 15 = 0, d + 12 = -d + 4*i. Let u = 400 - 235. Suppose d = -z + 6*z - u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1806 + 8860. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2\/13, 1\/2, 0.25?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 55, 4, -0.5, -42, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24706 + 13706. Round u to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17504, -70093, -157742, -280451?\n\"Answer: -17530*z**2 + z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -3367*x**6\/120 + 751*x**5\/5 + 12*x**2 - 54. What is the third derivative of k(a) wrt a?\nAnswer: -20202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*c = 7 + 13, 11 = 5*q - c. Suppose 3*t = q + 3. Solve -11 = -4*b - 3*x - 0*x, -7 = -t*b - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 20 = 2*i. Suppose i*b - b + 102 = f, -5*b = 2*f - 269. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 - 1328*y**4\/5 - 28944*y**3\/5 - 119656*y**2\/5 - 157892*y\/5 - 65832\/5 = 0.\nAnswer: -13, -3, -1, 422\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**3 + 0*r**3 + r**3)*(3 - 4 + 2)*(r + 2*r - 5*r) to g*r**2 + m*r**3 + p*r + k*r**4 + a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:34 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 21. Let n be m\/24*159\/2. Suppose 0 = -5*r + 248 - n. Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 9. Let a be n(2). Solve 2*v = -p + 4, -a*p = -2*v - v + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4791*f + 4690*f + 6666 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -4.2. Suppose -5*u - 25 = -35. Let k be ((-4)\/(-6))\/((-22)\/6). Which is the third biggest value? (a) u (b) 2\/7 (c) n (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126 - 36?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -7*x**6\/360 + 2*x**5\/15 - x**4\/6 - 9*x**3\/2 - 9*x**2. Let o(q) be the first derivative of p(q). Factor o(r).\nAnswer: -(r - 2)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 23 = -j, 0 = 7*a - 3*a + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/752844343?\nAnswer: 6\/752844343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -626 + 626.3. Let u = 4 + -5. What is the nearest to u in 0.1, 2\/3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2440 and 1830.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from ynsfmhn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*t + 98 = t, 0 = -4*h + 5*t + 99. Calculate the remainder when 45 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + -1 + 4 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.123 - -11.023. Round u to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17095 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*l**5 + 58035*l**3 + 733549*l wrt l.\nAnswer: 1320*l**3 + 348210*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47265365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 9. Let p be n(7). Let h(b) = 6*b**3 + b**2 - 2*b + 3. Is h(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1784832 and 133\/1152.\nAnswer: 5354496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2053021 = 2*v - 3*l, 611*l - 2053070 = -2*v + 607*l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6137761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172\/((-13)\/3 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6\/17, 7, -2\/9, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/6 - 7*j**2\/6 + 8*j\/3 - 2 = 0. Calculate j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**3 - 38*x**3 + 2320*x**2 - 4061*x**2 + 1741*x**2.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {q: 1, a: 1, x: 3, l: 2, k: 5, u: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5036852.8 - 0.269.\nAnswer: -5036853.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 372 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1918 and 16?\nAnswer: 15344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let p = 10 - 16. Let d(t) = -8*t. Let l(i) = p*g(i) + d(i). What is l(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4380007\/60 + 72998. Calculate the common denominator of n and -91\/102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8298.881l?\nAnswer: 8298881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 24*z = 35. Let h be -2*(6 + z) - (5 - 2). Let x(c) = -18*c - 16 + 7*c - 17*c. Let f(j) = -9*j - 5. Determine h*x(k) + 16*f(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 84020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from mdkmkyod.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -194 + 187 + (1 + -1 - 0) - 8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-6.4\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 3, o: 4}. What is prob of sequence oiog?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 207 + 2435231.482\nAnswer: 2435438.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 128*m**2 + 26*m - 269. What is the units digit of r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/10 - 2)*-15. Let i = 4 + -2. Let w be i\/7 + 19\/7. What is the highest common divisor of w and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1240, -1296, -1390, -1522, -1692?\nAnswer: -1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5178 - 122*g + 5176 + 573*g + 99*g in the form i*g + d and give i.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2486 (b) 268 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1280009, 1280010, 1280011, 1280012, 1280013?\nAnswer: 1280014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*v + 5*v - 9, 3*v + 27 = 2*m. Let p = 18 - m. Let g(f) = -f**3 + 12*f**2 + 6*f - 17. Is g(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - z = -11, -3*x + 4 = 3*z - 5. Solve 7*t - 27 = 2*t - x*r, 2*r - 12 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152042 divided by 10?\nAnswer: -76021\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 603, 2 in descending order.\nAnswer: 603, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/56*16\/8*2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:25 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 + 92*m + 58. What is v(32)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50346?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -85338, -170674, -256010?\n\"Answer: -85336*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283272 by -12876.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24481 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 6 - 38 - 15 = 0. Sort 3, 27, x, -3, -18 in increasing order.\nAnswer: -18, -3, x, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51, 53, 55, 57, 59?\n\"Answer: 2*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770 = 12*s + 942. Suppose 3*k - 9 = -2*i, 3*k - i = -0 + 18. Suppose 0 = 2*w - 4*h - 122, 3*w - k*h = 116 + s. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 383237 - -566346. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 15*s + 27. Suppose -59*l + 62*l - 51 = 0. Is 59 a factor of x(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 41. Let p = 0.3 + -0.25. Let s = -0.05 + p. Does x = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/489470 and -39\/55?\nAnswer: 5384170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z**5\/5 + 98*z**4\/5 - 396*z**3\/5 - 8*z**2\/5 + 32*z\/5 = 0.\nAnswer: -4, -2\/7, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*f + 430 = -59*f + 102*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 c, and 1 u when four letters picked without replacement from cmumccmmcucuquu?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8124 divided by 2031.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 - 126. Let l be (-1 + 2\/z)*54\/(-1629). Let r(s) = s**2 + 7*s + 6. Let o be r(-6). Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*(-3)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88742 + 130357. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:50 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 4. Suppose 0 = -y*j + 56 + 80. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 9, 15, 19, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -33\/530627?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 9. What is the remainder when 14 is divided by q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 804\/(-16)) + 3\/4. Let r be (-24)\/l + 143\/7. Differentiate -7 + r*g**3 + 18*g + 10*g - 28*g wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153.563 months in centuries?\nAnswer: 0.9613025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 12*a + 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -8555\nAnswer: 3\/8555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, r: 3, o: 2, b: 1, j: 4}. What is prob of sequence jrr?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69.76 + 1.24. Let x = k + -70.926. What is x rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 19473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168555 by -11237.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 1 = 32 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -74. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5))**17)**(-18) assuming r is positive.\nAnswer: r**(612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 108. Suppose 5*r + w*r = 14. Solve 6 = r*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8450?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -63. Let l(g) = g**3 + 9*g**2 + 11*g + 17. Let j be l(n). Is 39 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 48403 and -2.647562.\nAnswer: 48400.352438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-152) - (-465124)\/(-38). Let f = -5641 - h. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27388\/33 + -828. Let m = f - 14\/11. Let l = -0.03 - 1.97. Which is the closest to l? (a) 1\/6 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 76 = 2*o. Suppose o = v - 2*g, 0 = -v - 5*g - 0*g + 5. Solve -4*c = -c + v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681719 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1242 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 2002?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 1 - 1 + (-2*h + 1 - 2 - 2*h)*(10*h**2 - 10*h**2 + 2*h**4) - 4*h**5 + 3*h**5 + 3*h**5.\nAnswer: -8*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25612 or 25914?\nAnswer: 25612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 4*o - 3\/2*o**2 - 3. Let z(m) = -m + 1. Give v(i) - 4*z(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484494 is divided by 5260?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 + 5*k + 5. Let a(c) = 3*c**2 + 2*c + 2. Let g(q) = -5*a(q) + 2*f(q). Let m(j) = -45*j - 2. Determine m(g(z)).\nAnswer: 45*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 88 = -19. Let a be (-1)\/(0 + (-2)\/118). Suppose -5*z = x - 17, -4*x - x + z = -a. Calculate the remainder when b is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-306)\/42 + 3 - (-4)\/14. Let j be h\/(-2)*(-4 + 1\/1). Which is bigger: j or -17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3276233853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 2)*(2 + 2 - 3)*((0*o + 3*o - 4*o)*(0 - 5 + 3) + 2 + 2*o - 2 + 4*o + 3*o - 3*o) to the form s + t*o and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 2*g**2 + g. Let p be t(-1). Let z(i) = i + p*i - 4 + i + 2*i. What is the remainder when z(6) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.27 + -23509841.\nAnswer: -23509827.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*d + 479*d + 1 + 6*d**2 - 2 + 481*d - 1440*d.\nAnswer: 6*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {k: 1, d: 4, t: 2, o: 9}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6364155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 230577?\nAnswer: 461154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/60 - q**4\/8 - q**3\/3 - q**2. Let p be x(-3). What is p rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -8*b - 22. Calculate the greatest common factor of b and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let u be g(2). Is 4\/2*39\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from ciicicicicccizcqii.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 3*j - 24 = 0, -4*r + 83*j - 6 = 86*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -151. Suppose -5*w = -m*w + 10780. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1489*d*k**4*w**2 + 6*d*k**4 - 89338*d*w**2 wrt k?\nAnswer: -5956*d*k**3*w**2 + 24*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353487299 to the power of 1\/3, to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.313 - -44.513. What is the nearest to -0.06 in 1, 83, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o - 52*o - 77 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 20275*n**2 - 20276*n**2 - 1 + 1. Give d(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233 + 230. Sort 4, -2\/11, b, 1\/2.\nAnswer: b, -2\/11, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52028 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*12.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 84113.1 decades?\nAnswer: 841131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 7106009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 3, -25, 2, 13, -2 in descending order.\nAnswer: 13, 3, 2, -2, -25, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 13*i**2 + 10. Let d = 29 - 26. Suppose o + 0*o = 4*h - d, 3*o = -2*h + 47. Let n be m(o). Is n at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1 + (7 - 2). Suppose 0 = 4*h - 7*g + 3*g - 96, -3*h - 4*g = -86. Suppose 5*z - 19 - h = 0. Solve 5*c = z - m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (25 + -19)) + 2 + (2 - -146).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -354?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 + -105. Suppose 0*a + j = a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o + 6. Let k be v(5). Suppose -s + 19 = -0*s - g, 0 = 2*s - 3*g - k. Calculate the remainder when (5\/(-2))\/(s\/(-64)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*t**4 + 4 - 12*t - 1 - 3 wrt t.\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -78 in decreasing order.\nAnswer: 8, 2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (29\/(-58))\/((-1)\/44). Suppose 0 = 8*h - 6*h. Suppose -f + 6 + n = h. Solve -g - j - 8 = 0, -g = g + 5*j + f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 8*f + 5. Determine m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 16 = 3*j, 0 = 5*j - c - 1 + 25. Let h = -0.06768 - 0.93232. What is the second biggest value in 4, j, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2351, -2357, -2363, -2369, -2375, -2381?\n\"Answer: -6*v - 2345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssb. What is prob of sequence bssb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let f(m) = -m**2 + 5*m - 2. Let x(o) = f(o) - 4*y(o). Let q(r) = -2*r**2 + 2*r - 3. Calculate -2*q(c) + 3*x(c).\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(6480) + (sqrt(540)\/(sqrt(12)*-1) - (sqrt(2880) - (sqrt(2880) + 1))))**2.\nAnswer: 132*sqrt(5) + 5449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 8*m**3 - 3*m**3 - m. Give r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w - 6 = 0. Solve 0 = w*o + 3*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 37 (b) -24 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004328 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 - 2777 + 5576 - 2789)*(3*y - y + 0*y).\nAnswer: 12*y**3 + 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1845, 1864, 1923, 2028, 2185?\n\"Answer: z**3 + 14*z**2 - 30*z + 1860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -21. Let m = 0.01 - -1.19. Let y = 5.2 - m. What is the third smallest value in -5, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 750 + -477. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let f(c) = -c**2 - 9*c - 9. Suppose -2*j - 18 = -0*i + i, 44 = -5*j - 2*i. Let w be f(j). Let a(v) = -2*v. Give w*g(k) + a(k).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43005739 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*(-48)\/(-72)*(-6)\/(-22)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203 - 2?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -4, 5, 16 in decreasing order.\nAnswer: 16, 5, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5 - 3*d + d + d**3 + d. Let z(t) = t**3 - 14*t**2. Let o be z(14). What is b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-582)\/144 + 4). Let k = v + 88. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 2*q**2 + 2. Let m be d(2). Let p(l) be the first derivative of 1\/2*l**m + 2 - 2*l. Calculate p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 2*f**2 + 65*f - 21. Let b be q(9). Suppose 11*p - b = 9539. Is 97 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/2 - -3*4\/(-4). Solve -3*i + 2 = -g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -48*r**2 + 4*r - 32. Let i(s) = 34*s**2 - 3*s + 33. Give 3*i(p) + 2*t(p).\nAnswer: 6*p**2 - p + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2 - 14*b + 24 = 0?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4869571.\nAnswer: 7, 14197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 - u - 2. Let y(c) be the third derivative of -c**5\/60 - c**4\/24 + 14*c**2. Let l(g) = h(g) - 6*y(g). What is l(8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 33 + 30 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6415329 and 3.\nAnswer: 2.3584671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + 21*y**2 + 230*y - 286. Is m(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwcw when four letters picked without replacement from mmmfceemwf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1807 and 2692.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4529 and 4151.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13324 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433060 is divided by 481.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180)*6*3)**2*-4.\nAnswer: -233280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 1372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 = c, -b - 12 = 3*c - 19. Solve c*w + 2*o = -6, 3 - 2 = -w - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, 5, 47, 1\/10 in decreasing order.\nAnswer: 47, 5, 3, 1\/10, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h**3 - 2*h - 1. Let j be s(-1). Suppose -2*t - 1 = j. Which is the closest to 0? (a) -2\/5 (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 5. Suppose -3*t + 3 = -5*g, 0 = -g - 15*t + 11*t - 19. Let j(q) = q. What is g*j(r) + m(r)?\nAnswer: -2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1 + -2)**2*-6*-2 - (1 + ((sqrt(180) - (1 + sqrt(180))) + 0)**2 + ((sqrt(180)*-1)**2*-4 - sqrt(180))).\nAnswer: -426*sqrt(5) + 2986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = 4*h. Suppose h = 3*r - 5*k - 22, 0 = -k + 4 - 3. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/(8\/(-64)). Let v = 22 + k. Suppose 2*p - 13 = -5*z + 3*p, 4*z - v = -3*p. Solve z*o - 2 - 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 517329 (base 10) to base 3\nAnswer: 222021122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.03557.\nAnswer: 0.017785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 2*q + 2*q)*(-5 + 1 + 1).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 7.54. Let z = -51.1 + 56.04. Let x = h - z. Round x to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100020203 + -230013?\nAnswer: -100310222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 9\/(-6))\/6. Put 4, 0.1, 2\/13, u in descending order.\nAnswer: 4, 2\/13, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Let v be (l\/6)\/(12\/(-18)). Which is smaller: v or 2\/19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49eea (base 15) to base 9\nAnswer: -400054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*k + (0 + 2 + 0)*(-4*k + 3*k - 2*k) + 0*k + 3*k - 5*k + (-2*k + 0 + 0)*(-5 + 5 - 2))*(5*k - 1 + 1) in the form s + c*k**2 + h*k and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (1 - 1\/1). Suppose -f + 5 = -o. Suppose 4 = -9*y + f*y. What is the least common multiple of y and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-66)*-1 - (-42)\/(-11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:12 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27958, -27988, -28066, -28216, -28462?\n\"Answer: -4*c**3 - 2*c - 27952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5463*g + 5450*g - 180 + 518 = 0. Let n = 1 + 51. What is the least common multiple of g and n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/20 and -151\/9336.\nAnswer: 46680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -918270*h**2 - 874686*h**2 + 658924*h**2.\nAnswer: -1134032*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410396 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 90 (b) 3 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*(-6)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6908.\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3127 + -2222. Is d a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 5:03 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 11*p + 15*p + 23, 5*m - 8*p - 41 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54 + 5 - (4 + 6). Solve 3 + q = 13*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489*j + 8892 = -451*j. Solve j = 6*w + 216 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (14 + -8) - 29?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)*n\/(n*n**0))\/((n\/(n\/(n*n**4*n*n)*n))\/n**(3\/4)))**(26\/3) assuming n is positive.\nAnswer: n**(-247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05751 - 0.04249. What is the nearest to 179 in 5\/3, -2\/5, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 0 + 0 + (2 - 1 + 0)*(2*w + 5*w - 5*w))*(-w + w + 4*w).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(1053\/29484)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*z - 143 + 280 - 27*z - 164 as o*z + l and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/10 + 1506517*c**2\/10 + 602608*c + 3013042\/5 = 0. Calculate c.\nAnswer: -2, 1506521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/27*(-54)\/12*-5. Let u = -4 + 1. Sort -1, 5, u, r in decreasing order.\nAnswer: 5, -1, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2730.75 kilometers to centimeters.\nAnswer: 273075000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -198 (base 10) to base 3\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2463983520 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 272320 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -534 + 930. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 10*a - 2. Let d(w) = 20*w**3 + 2*w**2 + 5*w - 4. Let v be d(3). Suppose 557 = -3*m + v. Determine l(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t + 17. Let m(k) = -225*k. Give m(u(w)).\nAnswer: 1800*w - 3825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 45889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-28)*4)\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 189878\/35 or 16?\nAnswer: 189878\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: a83702 (base 11) to base 3\nAnswer: 10021000111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -227, -280, -333, -386, -439?\n\"Answer: -53*g - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 326069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 170*q**2 + 5*q + 2. Let p be i(-2). Suppose -p = 5*w - 1962. Let a = -181 + w. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2618700 and 1850.\nAnswer: 96891900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**3))\/k)\/(k\/k**(-5)*k*k))\/(k**(1\/2)\/k**(-2\/5)))\/(k**(-3\/4)*k**(-3\/8))**(-20) assuming k is positive.\nAnswer: k**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 + -3 + 1 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 1:42 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:50 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*z + 20 = 0, 0 = -4*b + 5*z - 962 + 942 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j - 10 + 10 + 21*j to k*j + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyytyyyytyy. Give prob of sequence ty.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 4 - (-1 - -1). Suppose w*p - 16 = -2*p. Let y be 3\/(6\/p) + 539998. What is y rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -105*p**3 + 20*p**2 - 53*p - 18. Is y(-6) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a hour in seconds?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 + 379034 + 2*-7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 311, -0.81, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 704785?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 199\/3 + (-48)\/36. Suppose 3*s - m = -5. Calculate the remainder when 58 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 6 (b) 1\/8 (c) -3\/20 (d) 176\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/89 - -187\/801. Let n be 2 + 57\/6*2. Let r = -17 + n. Which is the closest to 1\/3? (a) r (b) -0.04 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10329 - -6?\nAnswer: -10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239 - 138. Suppose 4*r = 417 - h. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*g + 3 = 0, 0 = -3*g - 0*g + 3. Suppose -3*y + 107 = 5*b - 17, 5*y - c*b - 155 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 - 4*y + 1. Suppose 0 = -5*f - 19 + 4. Does 28 divide p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 12) + 16 + (-1 - (4 + 14)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 2*s + 0*s + (4 + 0 - 2)*(s - 2*s + 2*s) + s + 3*s - 5*s + s - 4*s + 9*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 12849*q**5\/5 + 1827*q - 3980. What is the derivative of j(m) wrt m?\nAnswer: 51396*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**6))\/f**(-2\/7)*(f*f*f**(-1\/6))\/f*f*f**(-3)\/f*(f*f*f\/((f*f**(-1)\/f*f)\/f*f)*f*f**(-6))**(-5\/7) assuming f is positive.\nAnswer: f**(275\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 4*g**2 - 3*g + 2. Suppose 4*i = -0*i - 12. Let b(h) = -3*h - 6. Let r be b(i). Calculate f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 294*b**3 - 1304 + 1304 - 3*b**3 + 4*b**3 - 2*b**3 + (0*b - 3*b + 5*b)*(-1 + 1 - 2*b**2).\nAnswer: 289*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1244 - 728. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-2 + 0 + 4)*(-1 - 5 + 3)*(0 - 1 + 3)*(-6 - 12 + 53 + (4 - 3 - 2)*(-4 + 1 + 2))*(12*g**2 - 4*g**2 - 28*g**2).\nAnswer: 8640*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 527*b**2 + 1. Let r(d) = -526*d**2 + d - 1. Determine 4*f(h) + 3*r(h).\nAnswer: 530*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.4 (c) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -4709.\nAnswer: -5\/4709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a*a**(-1))\/a))\/(a\/(a**(-4)\/a*a))*(a*a**1)\/a**(2\/7) assuming a is positive.\nAnswer: a**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10212 (base 3) to base 13\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 12 = z, 0 = -2*z - 2*x + 16. Suppose -3*v + 4*s + 11 = -s, z*s + 19 = -v. Put v, 1, -4, -18 in decreasing order.\nAnswer: 1, v, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svwsjnssssngsjsssn. Give prob of picking 1 j and 1 s.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Suppose c + 3*d - 15 = 0, -4*d + 2 = -f*c - 2. Find the third derivative of 4*r**2 - 7*r**3 + r**3 + 4*r**c wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 0*g**4 + 0*g**4)*(-g + g - 2*g) + (0*g**2 - 5*g**2 + 4*g**2)*(0*g + 0*g + 3*g**3) - 141469*g**2 + 141469*g**2 + 444*g**5.\nAnswer: 445*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -67667.\nAnswer: 19\/67667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 11:57 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -123.9, -3\/4, 1\/2, 4, 1, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -117, -178, -239?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 228719 or -0.4?\nAnswer: 228719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 30 = -6. Calculate the remainder when 124 is divided by 3*152\/n*6\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -24. Let r = k + 17. What is the nearest to r in 5, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - -3) + -3 + (-74 - -80).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 494753 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(513) + sqrt(513) - sqrt(513))*1)\/((sqrt(3) - (sqrt(3) - (4*sqrt(9))\/sqrt(3))) + sqrt(3) + (sqrt(384)\/sqrt(2) - sqrt(3)) + sqrt(3)).\nAnswer: -6*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-63))\/((-36)\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + w - 3. Let c be m(-3). Let n = 170 + c. Suppose -4*k + 47 = 15. What is the greatest common divisor of k and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 7*c**5 + c**4\/6 + 329*c**3\/6 - 7*c**2 + 118. Differentiate l(v) with respect to v.\nAnswer: 840*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*t**2 + 24*t**2 + 151*t**2 + (-2 - 1 - 1)*(t + 3*t**2 - t)*(1 + 0 - 2))*(2*t - 2*t - t)*(3 - 2 - 4).\nAnswer: 345*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 176558481\/2 - 944163\/2*t - 1\/2*t**3 + 1683\/2*t**2.\nAnswer: -(t - 561)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 40. Let u be y(0). Let h = -66 + u. Let d = h + 36. Calculate the least common multiple of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(3*m + 2*m - 3*m) + (-3 + 0 + 2)*(2 + 2*m - 2) + m + 3*m - 5*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16398834, 32797653, 49196472?\n\"Answer: 16398819*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -2 (c) -0.0394 (d) 461\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = h + 2*n, 88*n = -2*h + 85*n + 318. Which is the third biggest value? (a) h (b) 0.04 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -40. Let v(m) = -2*m**3 + 4*m**2 + m - 4. Let j(q) = -2*q**3 + 5*q**2 + q - 5. What is o*j(n) - 5*v(n)?\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*w - 68*w - 36 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 o when four letters picked without replacement from xxxxxoxxxxxo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i**(11\/4) assuming i is positive.\nAnswer: i**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-2\/13)\/v*v\/(v\/((v*v*v*v*v*v**9\/v)\/v)*v) assuming v is positive.\nAnswer: v**(141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 - 84*t - 88 = 0. Calculate t.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/((-4)\/108). Suppose -2*g + w = -5. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 - 0) + 3 - (-14 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (952\/12852 - (1011\/4212)\/(-1)) + (-24)\/104.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/17? (a) 4\/7 (b) -42\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**7\/2 - 11*k**5\/60 - 5*k**4\/24 + 127*k**3\/6 + 196*k**2. What is the second derivative of p(t) wrt t?\nAnswer: 1260*t**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18034894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.30297 rounded to two dps?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s - 8*s + 0 + 0 - s + (-2 - 2*s + 2)*(4 - 3 - 3) + 2 - 2 - s + s + 1 - 1.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (3 - (18 + -28 - 15))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.11977 - -6741.9227\nAnswer: 6742.04247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*i**2 + 149 - 149)*(9*i - 9*i - 14*i)*(4 + 1 - 4).\nAnswer: -308*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 5. Let v be t(-7). Let x = v + -9. Let w be (0 + 1)\/(0 - 1). Put x, 2, w in increasing order.\nAnswer: w, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s = 95. Suppose s - 1 = f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23293 + -378. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119606, 239027, 358266, 477323?\nAnswer: 596198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-49)\/(-210) + 4\/24 - (-1112)\/20. Suppose -4*b = -a + b + 423, 4*b + 428 = a. Calculate the greatest common factor of a and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*l + l, 0 = 4*n + 2*l. Suppose n = -5*m - 71 + 26. Does 8 divide (-75)\/m*(-3)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680, -1974, -2986, -2828, -612, 4550?\nAnswer: 13546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 1, -2, -0.3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 3*h**8\/4 + 34*h**4\/3 + 8*h + 9. Find the third derivative of z(k) wrt k.\nAnswer: 5040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7410)\/(-25) - 9\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 10. Let s be x(-12). Suppose -s*i + i - 5*m - 1 = 0, -3*i + m = -13. What is the greatest common factor of 12 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/286 and -87\/234982.\nAnswer: 3054766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 10*u + a = 19521, u - 3910 = -6*a. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17484625889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -1.8 (c) -4\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -109, -430, -969, -1726, -2701, -3894?\n\"Answer: -109*r**2 + 6*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/8 - (-20655)\/(-4536) - (0 + -4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10945*p + 112*p**2 - 10945*p.\nAnswer: 112*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504897 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5600*k**6 - 100*k**2 - 2*k + 4?\nAnswer: -672000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7260 or 7261?\nAnswer: 7260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/2 of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 77*c**6\/120 - 19*c**4\/8 - 2*c**2 + 114. Find the second derivative of n(g) wrt g.\nAnswer: 462*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30091 times -0.19386?\nAnswer: 5833.44126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1144451000 - 24?\nAnswer: 1144450532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.6512 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 106*a - 2449. Give d(23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17340, -35118, -52896?\nAnswer: -70674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*s - 15*s - 13*s - 1775 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36519, 36514, 36505, 36492, 36475?\nAnswer: 36454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -41. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - 4*j**3 - 2*j + j + 0*j**3 + 0*j**3 - j**3 + j**3 - 5*j**3 + 2*j**3 - 2*j**2 + 2*j**3 + 2*j**2 + (2*j + 0*j + 0*j)*(-j**2 - 3*j**2 + 2*j**2).\nAnswer: -9*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -102215 divided by -5\nAnswer: 20443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/120 - 7*y**3\/6 - 9*y. Let m(w) be the second derivative of u(w). Let a(f) = 6*f - 11*f - 5*f. Determine a(m(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61146443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*j**2 + 1098*j**2 - 601*j**2.\nAnswer: -76*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -21, 4, -2 in descending order.\nAnswer: 4, 1, -2, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 14. Let c be v(14). Suppose c = 4*h - 3*h - 20. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45220, -45208, -45160, -45058, -44884, -44620?\nAnswer: -44248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n - 3*n. Suppose -4*u - n = 11. Let x be 1\/((-4)\/(-36)) + u. Let i(l) = -l + 5. Calculate i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 857 + -857.555. Let w = f + 0.752. What is w rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 12) in base 2?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5914 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 390\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 + -12202221?\nAnswer: -12201203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (510\/21015)\/(2\/330). Is 1 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 14 + 138. Let h be (44 - 41)\/(1*-1)*24. Let u = d + h. Solve -u*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 13*j**3 + 659*j**2 + 5*j + 19. Let k(i) = -2*i**3 + i**2 - i - 3. What is f(x) + 6*k(x)?\nAnswer: x**3 + 665*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233903 = 37*l - 232756 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -2*x**7\/105 + x**6\/30 + 2*x**5\/15 - 98*x**2. Suppose d(n) = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4209119 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059?\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 10372876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22409.9+-3\nAnswer: -22412.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1077 * -1.\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 5. Let l be w(0). Let f be (0 + (-12)\/40)*l. Which is the smallest value? (a) f (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 8 = -23*g + 27*g, -5*g = -3*n + 31 - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - (-14 - -7)) + (-32 - -20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3*v**3 - 4*n**3*v*z + n**3*z - 2*n**2*v**2*z + 23*n**2 + n*v**3 - 3*v**3*z wrt v.\nAnswer: 12*n**3 + 6*n - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 506494349*a*m**3 + 298224*a*m**2 - a - 5*m**2 wrt m?\nAnswer: 3038966094*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8.3206899809+225.4\nAnswer: 233.7206899809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.70135 rounded to two dps?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3942, -3905, -3870, -3837, -3806, -3777, -3750?\nAnswer: -3725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 4747476?\nAnswer: 52222236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266815 is divided by 66698?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (-1 + sqrt(832) + sqrt(832))*-2*2)**2.\nAnswer: -384*sqrt(13) + 53257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18822.\nAnswer: 2, 3, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(504) + 2*sqrt(504)))\/sqrt(8))\/((sqrt(144) - (sqrt(144)*-3 + sqrt(144)))*-2).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.9. Let u = -4.03 + 0.03. Let q = -4.4 - u. Which is the closest to 1\/3? (a) q (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4916875 and 8125?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 6, i: 4}. Give prob of picking 4 i.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541427084?\nAnswer: 2, 11, 17, 23, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40029727 smaller than 40029725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0392569 times 0.6\nAnswer: -0.02355414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 50814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -6)*(-3)\/1. Let u(g) = -g**2 - 6 - 4*g**2 - g**3 + 8*g + 3*g**2 + 2*g**y. Is u(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -133, 21 in decreasing order.\nAnswer: 21, -2, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -1\/3 (c) -3\/4 (d) 1\/10 (e) 47 (f) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 129927*t**2 + 81977577*t - 13026730893.\nAnswer: 3*(t - 42671)*(t - 319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -29*h**4\/2 + 76*h**2 - 2*h + 1. Find the first derivative of d(c) wrt c.\nAnswer: -348*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 601, 598, 593, 586, 577, 566, 553?\n\"Answer: -a**2 + 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20860337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {j: 4, y: 4, x: 1, l: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 388, 362, 314, 238, 128, -22?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + 1. Let b = 40 + -41. What is u(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19719392 and 114156.\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 + 8*s + 5. Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 30583451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(91)*1*-2)\/((((1*sqrt(84) + sqrt(84) - sqrt(84) - sqrt(84) - sqrt(84))*-2 - sqrt(84)) + sqrt(84))\/sqrt(12)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 157335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 584*x**2 - 10*x + 35. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q + 209. Let b be y(-20). Solve -6 = -3*w + b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16863\/5 - 16859\/5. Which is the second smallest value? (a) -4 (b) g (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.5, -1, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(18)*2 - sqrt(144)\/(1*sqrt(8)))*-5)\/((sqrt(72) - -5*(sqrt(72) + -1*sqrt(72)))\/((sqrt(96)*-2)\/sqrt(8))).\nAnswer: -110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 17\/16, 72, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-21)\/5 - 0\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*k + 5*d, -5*k = 2*d + 16 - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 - 5*k + 5*k)*(4 + 0 - 2) - 31*k + 31*k - 76*k**3.\nAnswer: -82*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21625*b**3*q + 38*b**3 - 5692*b**2 + 3*b*q - 5*q wrt b?\nAnswer: 129750*q + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1116 + 1132. What is the remainder when 37 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 96*v = -91*v - 97, 2*v - 46 = -2*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + 0*k**5 + k**5 + (-138*k**3 + 52 + 88*k**3 + 36*k**3)*(0*k + 0*k - k**2).\nAnswer: 16*k**5 - 52*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbbssuxxxbbusususs. Give prob of picking 1 x and 2 u.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.0364 (b) 0.5 (c) 20 (d) 0.004 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 6*m**2 - 11*m**2 - m**2 + 41 - 5*m**2 - 10*m**2 to the form d*m**2 + g*m + t and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4636 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/(-4)*(-6 + 2). Suppose -5*g = 20, -2*f - 1 = 5*g - 51. Is f bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/12)\/(1 - 54). Let k = 57\/106 + w. What is the nearest to 1\/3 in -1\/4, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 2. Let h(i) = 3*i - 5. Let c(p) = -5*g(p) + 2*h(p). Let a be c(4). Find the first derivative of a + w**4 + 3 - 5 wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from nalaaiiaannniii?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 461918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aannnnannn. What is prob of picking 2 a and 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 9 - 19. Let t(w) = 358302*w**3 + 1. Let x be t(o). Let g = 1476417 - x. What is g rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -51. Calculate the least common multiple of i and 162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -746.7 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 0)*(0 - 2*s + 0) + 3*s - 7*s + s)*(5*s - 3*s - s) + (-195*s + 815 - 815)*(2*s - 2*s - 2*s) to d + k*s + z*s**2 and give z.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 234671498 to the power of 1\/3, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 6:44 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*i**2 + (i**2 - i + i)*(-4 + 4 + 1) - 107*i**2 + 44*i**2 + 548*i + 62*i**2.\nAnswer: 2*i**2 + 548*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -2)\/((-6)\/(-60)). Let s be 2 + 5 + (6 - b). Let k(n) = -2*n + 4. Let x be k(-4). Solve -5*p = -2*p - 2*q + 20, 0 = s*q - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -0*q + 7*q. Determine a, given that q - 1\/4*a**3 + 1\/2*a**4 + 0*a**2 - 1\/4*a**5 + 0*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3 + 3)*(x + 3*x**2 - 9*x**2 + 2*x**2).\nAnswer: -8*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/10*(-1456)\/20748?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 13*b**2 - 12*b + 9. Let f be h(-14). Let u = f - -24. Sort -4, u, -0.1 in decreasing order.\nAnswer: u, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -21. Suppose -4*w - 5*b + 6 = -62, v = 2*w + 3*b - 32. Let h = 22 - w. Solve -5*a = -5*f, -5*a - 5 = -4*f - h*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903338054.\nAnswer: 2, 37, 12207271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*x - 128*x. Sort -1, 1.6, -3, x in decreasing order.\nAnswer: 1.6, x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(((x*x**(2\/3)\/x)\/x*x)\/x)))**(-1\/62))**30 assuming x is positive.\nAnswer: x**(5\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a century?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 10*f.\nAnswer: 2*f*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)*c*c**17)**(-18\/13) assuming c is positive.\nAnswer: c**(-198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 6*p + 1443. What are the prime factors of p?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.1. Let i = -7.08 - -0.08. Let z = i - -6.3. Is z at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054775 rounded to five decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 144203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n = -289 + 25 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Let k = 2.4 + z. What is the smallest value in -1\/2, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 - 6*h**2 - 3. Let z(b) = 9*b**3 - 13*b**2 + b - 7. Let q(o) = -7*w(o) + 3*z(o). Let d be q(3). Factor -9 + 2*j - 4*j**3 + d + 2*j**5.\nAnswer: 2*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132894 and 45?\nAnswer: 664470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fif when three letters picked without replacement from {i: 17, f: 3}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.291425cm in kilometers?\nAnswer: 0.00007291425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3\/(t**(1\/5)\/t))\/(t*t\/(t**(-2\/5)\/t*t)*t**(5\/3)))\/(t\/(t**8*t)*t**7\/t)**(-2\/7) assuming t is positive.\nAnswer: t**(-88\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2744\/(-84) + ((-5)\/(-3) - 1). Does 3 divide (-2 - m\/12)*-3 - -17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 5*v - 4*x + 38, 0 = 5*x + 15. What is the highest common factor of 490 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 9*a**2 - 8*a + 10. Let g be ((-5)\/4)\/((-1)\/(-8)). Let x be k(g). What is the units digit of (-549)\/(-45) + 2\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 11*m - 260. Let r = 123 + m. What are the prime factors of r?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22947, 46732, 70521, 94314?\nAnswer: 118111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/11, 242, 28\/3, 2?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 5\/616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 + 2*w - 7. What are the prime factors of x(-3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*u - 2 + 2*u - 4*u + 4*u + (5 - 2*u - 5)*(1 - 1 + 2))*(-5 + 1 + 3).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 292\/(-40)*(3 - (-39)\/(-12)) and 23\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -225a56?\nAnswer: 225a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-16) - (-28)\/(-32). Which is the third biggest value? (a) y (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 + 26220*f - 26223 = 0. What is f?\nAnswer: -8741, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -18. Let z be 2 - 1 - (-5 + 9). Let x be 2 - -1 - (-3 - z). Calculate the highest common factor of j and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -44. Suppose -j*d = 11*d - 742. What is the remainder when d is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t - 74. Determine k(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4*(-6)\/9. Let h(s) = 3*s**2 + 6*s. Let p(z) = z**2 + 2*z. Determine j*h(g) + 8*p(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0 + 0*q**2 - 21\/80*q**5 - 1\/4*q**3 - 2*q + 9\/16*q**4. Determine d, given that y(d) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-6\/11)*((s*s**(-21))\/s)\/s*s*(s**(-1\/4)*s)\/(s*s**3*s) assuming s is positive.\nAnswer: s**(-1091\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88584163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -8*r + 3*r + 4*g, 3*r + 94 = -2*g. Let s = -23 - r. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 5*q + 2. Suppose -4*o + 3*w + 20 = -2*o, 3*w = -4*o + 4. Calculate x(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 51. Let z be 2\/(-8) + q\/8. Solve 0 = -3*y - y - z*j - 5, -10 = -y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2 - 4*w**3 + 5*w**2 + 7*w + 7 + 3*w**3. Suppose 90*t + 5*k = 95*t - 20, k = -1. Suppose 20*m = 17*m - t, 22 = 4*g + 2*m. What is n(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-3))\/2 + 2. Let v = 3 - w. Is 7 a factor of ((-2)\/1)\/(v\/46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1601398 divided by -31\nAnswer: -51658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3714 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 3 + 25 = -10. Let k(p) = 6*p - 1. Let g be k(1). Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -v + 25. Let d(c) = 5*c - 2. Let o be d(9). What is the highest common divisor of o and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) 0.051 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 + 7*a + 6. Let c(u) = 7*u**2 - 14*u - 11. Let b = -990 - -996. Determine b*c(x) + 11*z(x).\nAnswer: -2*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 335\/40 + 18\/(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340462 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, 67, -35, -2 in descending order.\nAnswer: 67, 3, -2, -35, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 20. Suppose s = 3*q - 29, -b*q + 2*q - 3*s + 23 = 0. Let u = 0 + q. What is the remainder when 28 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17880357921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/6)\/(((q*q*q\/((q**3*q)\/q*q)*q)\/q)\/q)*q**3\/(((q**(1\/2)*q)\/q)\/q))**(-2\/21))**26 assuming q is positive.\nAnswer: q**(-832\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. Suppose z*k - 84 = -19. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**2 - 1. Let i be j(1). Let t be (-2)\/i + 27\/12. Calculate the highest common divisor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11405 is divided by 777?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2 and -128.51.\nAnswer: -282.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2 and -13\/35500.\nAnswer: 35500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3389*g + 36. Let u(f) = -504959*f - 5370. Determine 895*h(w) + 6*u(w).\nAnswer: 3401*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*v**3 + 179*v**3 - 171*v**3.\nAnswer: -374*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w. Let f(v) = -2*v - 5*v + 0*v + 23*v + 4*v. What is f(m(g))?\nAnswer: -260*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 4*j + 64 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 - 17*i**3 - 296*i**2 + 233*i**3 - 106*i**3 - 1 + i - 108*i**3 to the form b*i**3 + r*i + w*i**2 + v*i**4 + a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0197 + 0.019699155. What is j rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158\/11 + 156\/11. Let f = -34040 + 204241\/6. Which is the nearest to -0.1? (a) f (b) i (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - 0.8. What is the smallest value in -2, 2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8099 - 5596. Is m 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 uuuuauxnxxuxun. Give prob of picking 1 u, 1 x, and 1 n.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 24*v - 109 - 3*v**2 + 284 - 95 - 95 + 19*v. What is g(14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(((-2)\/(-1))\/(-4)). Suppose 3*o - 2*r = 28, -3*r - 45 = 3*o - 93. What is the second derivative of 27*y - o*y**5 - 2*y**5 + y**5 - n*y**5 wrt y?\nAnswer: -300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25056271 (base 9) in base 12?\nAnswer: 4133284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*z - 4*z = -9, 5*d = 5*z. Let q be ((2 - -2) + -2)\/1. Let t(i) = 8*i + 5*i**q - 4*i - 6*i**2. Give t(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2. Let a(w) = -3*w**3 - 50*w**2 - 4. What is a(z) - 2*i(z)?\nAnswer: -3*z**3 - 50*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0)*(-1)\/2. Let g = -89 + 94. Put -5, g, l in decreasing order.\nAnswer: g, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 3, -13\/707 in increasing order.\nAnswer: -13\/707, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:10 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5.6, 0.3, 1, -5\/4 in ascending order.\nAnswer: -5\/4, -0.1, 0.3, 1, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 1, l: 1, o: 1, z: 1, d: 1}. What is prob of picking 1 l, 1 u, 1 d, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5820, -5647, -5472, -5295, -5116, -4935, -4752?\n\"Answer: y**2 + 170*y - 5991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 4 - -2)*27. Let q(i) = i**3 + 28*i**2 + 25*i - 46. Let y be q(p). Solve -2*b + 2*c = c - 11, 4*b + 4*c = -y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from aaloloallaloaaallll?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 7, p: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3028, 5, 3 in ascending order.\nAnswer: -5, 3, 5, 3028","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3*0\/(-7))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*w**2 + 4170*w + 5625.\nAnswer: 3*(w + 125)*(11*w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13599446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -16876\/509 and -32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*s**5 + 6*s**3 + 9*s**5 + 10*s**4 + 14*s**3 - 40*s**2.\nAnswer: -5*s**2*(s - 2)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) 0.3 (b) 8.6 (c) -2\/5 (d) 1\/5 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -269\/5, -0.15, 54\/11, -6, -2\/3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72426, -144852, -217278, -289704, -362130?\n\"Answer: -72426*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -452*n**2 + 4*n + 12. Let w(s) = s**2 + s + 3. Calculate a(h) - 4*w(h).\nAnswer: -456*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.28 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/((5\/(-4))\/(-9 + 1012\/88))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/43 in -3, 3, 24, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2852\/33775 - 6\/1351. Which is the fourth smallest value? (a) p (b) 54 (c) 0.5 (d) -2\/3 (e) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 474 + -465. Let o be 5\/(((-18)\/j)\/(-14)). Solve -2*u = 5*i + 16 + 10, -5*u = 5*i + o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 16*a - 37. Let z(y) = y**2 + 8*y - 19. Let w(g) = -6*x(g) + 13*z(g). What is w(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31051 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/11842 and 79\/4966?\nAnswer: 153946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3\/m**(1\/3)*m\/(m**4\/m)*m\/m**(2\/5)*m assuming m is positive.\nAnswer: m**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 27433.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(8)\/sqrt(64) - sqrt(10)\/(sqrt(5) - (sqrt(5) + -2*sqrt(5)))*-1))**2*-3 + -1.\nAnswer: -251\/8 + 27*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/5 - 66*b**4\/5 + 466*b**3\/5 - 126*b**2\/5 - 1904*b\/5 - 1248\/5 = 0.\nAnswer: -39, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.07 (b) 4\/7 (c) -2.5 (d) 4 (e) -3 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 115 in 187, -2\/3, -1.8, -1, -0.4?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4391388 divided by -28.\nAnswer: -1097847\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3))**(-29\/2))**(-2\/7)\/(((s*(s\/s**3)\/s*s*s*s)\/s*s*s*s\/s**(2\/15)*s)\/(s\/(s\/(s\/s**(-1\/4))))**40) assuming s is positive.\nAnswer: s**(1663\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ac2d82 + 5?\nAnswer: 2ac2d87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.900615 from -1979.\nAnswer: -1975.099385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18*213\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(6\/12) + (-275560)\/(-3255) + -86.\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 335 + -335. Let x = 7 + -3. Which is the nearest to x? (a) l (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 h when four letters picked without replacement from {h: 2, g: 11}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(8\/7)*x)*x*x**(2\/15))**(4\/25) assuming x is positive.\nAnswer: x**(-4\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 648 = -90*x + 332 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3*y**2 - 12. Let n(o) = -3*o. Calculate d(n(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltc when three letters picked without replacement from lcsmwwt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*f**2 - 147*f**2 - 28*f**2.\nAnswer: -460*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyafu. What is prob of picking 1 a, 1 v, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-680)\/20))\/(3*(-6)\/(-720))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/243, -1, -2, -3, -35.\nAnswer: -35, -3, -2, -1, -1\/243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -664.13536 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**4 + 0*g**4 + 3*g**4)*(1 - 1 + 1) + 0*g**4 - 4*g**4 + 2*g**4 + g**4 + 3*g**4 - 6*g**4 + (-3 + 3 + g**2)*(-g**2 + g**2 - g**2).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 2*a + 7*a + 1 - 1 + (2*a + 2*a - 5*a)*(-5 - 2 + 5))*(-2*a - 4 + 4 + (0 + 1 + 0)*(-2*a + 0 + 0) - 3*a + 24 - 24).\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -10. Let w = d - 8. Put -5, 0.1, w in increasing order.\nAnswer: -5, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32629059 is divided by 2110?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, -0.4, -0.3, 3, 1\/26, -50?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 14*q**2 + 2*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 - 2*u**3 + 8*u**3 + 3*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (12 - (7 + -1 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*z - 0 - 17, -5*j = -z - 29. Suppose 2*y - 339 = -3*v, -j*v + 0*y = 4*y - 567. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 137933 (b) -3 (c) 0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 299 - 26 - 21*m + 20 - 28*m + 50*m to the form p*m + n and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*z - 86*z + 1 = 0. Sort z, -5, 3 in increasing order.\nAnswer: -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**3\/3 - 7*x**2\/2 + 22*x - 43. Calculate the least common multiple of 24 and w(-6).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*w + 3*w - 1, 5*w - 23 = -2*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 12, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/30)\/(-4) + (-8)\/(-60). Let u be 16\/(-128) + (2 - 87\/72). Sort i, u, -3\/8 in ascending order.\nAnswer: -3\/8, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -2*k**6\/15 - 2082*k**5\/5 - 361227*k**4 + 375*k + 8. Solve g(n) = 0.\nAnswer: -1041, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/90*60\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11736 - -815.\nAnswer: -10921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530168008.\nAnswer: 2, 439, 150959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**4\/24 - 4*l**3\/3 + 20*l**2 - 2*l. Let w be y(10). Solve -w*r + 1 = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3776 - -3780. Suppose -5*g + 19 = a, 5*a + 4*g + 0*g = 32. What is the remainder when a is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49666 - 24045. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -176*w - 1272. What is the least common multiple of 632 and a(-9)?\nAnswer: 24648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 - 2*f**4 + 3*f**4)*(2*f - 5*f + 4*f) + f**5 + 29*f**4 - 29*f**4 + (5*f - 9*f + 10*f)*(0*f**4 - f**4 + 3*f**4).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 9*z**2 - 4*z**2 - 4*z - z.\nAnswer: -13*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r**5\/2 - 49*r**4 + 277*r**3\/2 - 119*r**2 - 12*r = 0.\nAnswer: -1\/11, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.231065, 0.13, 1?\nAnswer: -0.231065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47808, -96835, -145874, -194925, -243988, -293063, -342150?\nAnswer: -391249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.014 + 1.846. Let d = -0.14 - k. Put 1\/6, 1\/4, d in decreasing order.\nAnswer: 1\/4, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzffffgfffffg. What is prob of sequence fzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**3\/3 - 5*l**2 - 2*l + 6135. Let h be (2*(-2 - -6))\/(-1). Determine u(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 519689.6 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455, -900, -1329, -1736, -2115?\nAnswer: -2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - 0*o + 2040. Suppose 5*l - 3*u = o, 5*l = 2*u - 0 + 250. Suppose -l = -3*s + 48. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4193 is divided by 236.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21494, -21222, -20950?\n\"Answer: 272*u - 21766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16215986 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**4\/24 - j**2. Suppose 4*w - 4 = -5*m, 4*w = 2*m + 29 + 3. Determine o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -20*y**5 + 2612*y**4 - 24040*y**3 - 12368*y**2 + 324192*y + 463104 = 0.\nAnswer: -2, 6, 8, 603\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3369957667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16815431 - 16815421.6304822. Let m = k - 0.0692578. Let y = -9.3 + m. Round y to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.2, -1, 1, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o + 1133 = -14*o - 723 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 - -0.06. Let z = 8.1 + 2.9. Let f = 11.3 - z. Which is the nearest to -3\/2? (a) s (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iioiooodd. What is prob of sequence oodo?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41229, -2, -4, 7 in decreasing order.\nAnswer: 41229, 7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53133?\nAnswer: 3, 89, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 67. Let m be (4\/(-10))\/(c\/60). Solve -3*r + 2*r - 3*j - 8 = 0, -2*r = m*j + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-3))\/(8\/432). Suppose -497 = -5*f + 508. Let w = i + f. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -690208 + 1190407. Let b(f) = 12 - h*f - 278399*f + 33639*f + 94957*f. Let d be b(6). What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 4*j - 4*j)*(-97*j - 287 + 287)*(2 - 6 + 5).\nAnswer: -388*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 10, -1 in descending order.\nAnswer: 10, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = n + 4*k + 23, 0 = -k - 5. What is the lowest common multiple of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000010938 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67\/4 + 4\/16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*d - 2)*(3 - 1 + 3)*(d**2 + 2*d**2 - d**2) as o*d + x*d**3 + b*d**2 + u and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 1, g: 4, v: 1, b: 4, w: 3}. Give prob of picking 3 g.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15286999*i**2 + 45760*i - 5 wrt i.\nAnswer: -30573998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.925987 and 2.1.\nAnswer: 1.9445727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/60 + u**5\/15 - 2*u**4\/3 - 133*u**2. Factor t(i).\nAnswer: 2*i*(i - 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 9:35 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7959*y. Let q(u) = 58*u**2. Give q(g(p)).\nAnswer: 3674049498*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6*j - 2. Is 13 a factor of (260\/8)\/(j\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64506214 to the nearest integer?\nAnswer: 8032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = -4*f, -4*f + l + 19 = 6*l. Let k = 938\/13 + -14367\/182. Find the common denominator of ((-208)\/12 + f)\/(-3) and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363231214.\nAnswer: 2, 17, 10683271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 0*h**2 + h**3 + 0*h**3 - 4 + 8. Let c be 1*0\/(-4)*-1. Let a be d(c). Solve 0 = -2*t + a*q, 5*q - 6*q = -4*t + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597230408 divided by 478?\nAnswer: 1249436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 494 - 470 = 0. What is the remainder when 191 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l + 1. Let y be j(6). Suppose -o + 295 = 4*w + w, 0 = 5*o - y. Suppose h = 0, p - w = h + h. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21989888 by 5924.\nAnswer: -3712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 126\/(-7) - (38\/14 + -1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*q**6 + 358*q**5 - 2*q**3 + 2*q**2 - 2191 wrt q?\nAnswer: 1440*q**3 + 21480*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:04 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*a - 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 116, -1\/4, 2\/19, -0.4, -54, 790, -2?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*a**4 - 67\/5*a - 43\/5*a**2 - 6 - a**3 = 0. Calculate a.\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - h + 5. Let b be v(-3). Let n be 92\/(-230) - (-8)\/b*-3. Find l, given that 0 + 3*l**n + 5\/4*l**3 + l = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6670 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1695, 1722, 1749?\nAnswer: 1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 + 22 = 0. Calculate the greatest common divisor of 80 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(10*39\/120)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-23))**(-2\/37)\/(x\/(x**(-20)*x)*x)**(-10\/7) assuming x is positive.\nAnswer: x**(1062\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 3*q + 3. Let i be a(3). Suppose -i*w = -16 - 77. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405787, -811575, -1217363?\nAnswer: -1623151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*s - 5*j, -2*j - 21 = -2*s - 3*j. Suppose s*c - 573 = 8*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79993 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 25, -48, -163, -338, -591?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - k**2 + 4*k + 7. Let l be u(5). Suppose -2*o - 4*f + 29 = -l, -2*o + 4*f = -132. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 1.5. Let j = 0.89999997 + s. Round j to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 104, 145, 186, 227, 268?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -203211.215 times 0.5?\nAnswer: -101605.6075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*v + 1 = 0, 4*v = -5*m + 91 - 70 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -8233, -2, 9 in descending order.\nAnswer: 9, -0.1, -2, -3, -8233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -14*r + 84. Determine x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30\/(-18)*128979\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4647, -4652, -4657, -4662?\nAnswer: -4667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 3*k + 4. Let n(x) be the third derivative of -x**4\/24 - x**2. Let q(f) = 3*n(f) - r(f). Factor q(h).\nAnswer: -2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s*s**10\/s*s))\/s)**(-1\/73)*(s*s\/(s*s**15))\/((((s\/((((s\/s**(-8\/5))\/s)\/s*s)\/s*s*s))\/s)\/s)\/s))**(15\/4) assuming s is positive.\nAnswer: s**(-10143\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13407.\nAnswer: 3, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**2 - 15*t**2 - 9*t**2 + (0 + 2*t + 0)*(t - 3*t + 0*t) - 570*t**2 - 11*t + 10*t + 494*t**2.\nAnswer: -97*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(10917 + 11052 - 22413 - n) as f + a*n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q - 10, 5*s - 3*q - 1 = 0. Let m = 1 + s. Calculate the common denominator of 31\/(-3)*(1 - m) and 53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 4*t**2 + 2*t**2 + (0 - 1 - 1)*(4 - 4 + t**2).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 9. Let n = -5 - i. Find the common denominator of 1*n - (-240)\/(-27) and 25\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362658 + 2.6.\nAnswer: 362660.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.361 and 205.56?\nAnswer: -1307.56716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 205043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/24)\/(((-38)\/(-513))\/((-20)\/(-855)))\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*c = -62*c + 90. Let l be 9\/c*15 - -8. Sort 1.08, 4, l, 1\/4 in ascending order.\nAnswer: 1\/4, l, 1.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41438 is divided by 6903.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 + 218. Solve 2*x + g = -0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1128 and 2115?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1885 = 5*f, 0 = -199*s + 197*s - 3*f + 3791. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40364 + 77793. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d - b95?\nAnswer: -c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2 - 2)*(-32*c + 15*c - 3*c)*(7*c**2 + 30*c**2 - 21*c**2).\nAnswer: -320*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/2 - 8*r**2 + 4705*r\/2 - 49300 = 0. What is r?\nAnswer: -85, 29, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 79*j + 685. Determine v(-13).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, x: 12}. Give prob of sequence zz.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 409 - 408.5. Which is the nearest to -2\/9? (a) -0.4 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z + z. Let y(n) = -n**3 + 3*n**2 + n + 1. Let b be y(3). Solve 3*q = -z*t + b*q - 21, 4*q = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2595708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(2\/5))*y*y**6)**(-48)\/((y**5*y\/(y**(2\/7)*y))\/(y**(-4\/3)\/((y*(y\/(y\/(y\/(y\/(y\/y**(-3\/8))))))\/y*y)\/y))) assuming y is positive.\nAnswer: y**(-272347\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2 - 3*w + 3*w + w + 8. Let u be k(-7). Suppose -u*m + 175000 = 2*m. Round m to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**3\/5 + 162*l**2 - 53856*l\/5 - 110976\/5 = 0.\nAnswer: -2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -389*v**2 - 79*v**2 - 210*v**2 - 39*v**2 in the form q*v + b + x*v**2 and give x.\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 433 + -28579\/66. Is 1 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.79 - -0.9. Let s = p + -6.11. Let q = s + 1.2. Round q to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-9 - -12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43 - -935?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 102123202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*d + 3 - 8 = 0, -d = 0. Let u be (k + (-38)\/(-8))*4. Solve -q - u = -5*q + 5*i, 0 = 3*q - i - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-234))\/(90\/(-720))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 24*u + 11 + 8*u**2 - 9*u + 5*u**2. Let p(y) = 7*y**2 + 8*y + 6. Let x be 24\/(-10)*35\/(-14). Suppose 7*o - x = 6*o. Calculate o*g(z) - 11*p(z).\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/6*4 - (-114)\/19)\/((-122)\/(-183))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 280*x + 90*x + 99*x + 93*x - 95 to w*x**3 + g + b*x + z*x**2 and give g.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.59 + 49.01. Let z = 0.862 + 0.018. Let m = j + z. Which is greater: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + 0) - (686 + -682).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437160167?\nAnswer: 79, 5533673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/4 - z**3 + 8*z - 20. List the prime factors of g(-5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.900988 years?\nAnswer: 0.0900988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-20)*-1*4. Suppose 0 = 3*r - 15 + 3. Suppose -2*o - g = r, -5 = -o + 3*g + 7. Is j >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 17.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 16\/237681?\nAnswer: 16\/237681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -1 - 14. Suppose -q = k, -2*a + 2 = -k - 1. Suppose -5*x - 10 = -10*x. Put a, 1, x in decreasing order.\nAnswer: x, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, i: 2}. What is prob of sequence iji?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 2*y + 3. Let x = -7 - -3. Let v(u) = -u**2 + 2*u + 2. Let m(j) = j + 10. Let p be m(-5). What is p*v(n) + x*r(n)?\nAnswer: -n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 14*a**2. Let b(z) = 208*z**2. Give b(h(d)).\nAnswer: 40768*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4 (c) -1\/17 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5446 is divided by 96.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7899 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 1029?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369668327.\nAnswer: 7, 467, 113083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24 + 2*m + 62*m**2 - 5 - 19 + 2*m**4 wrt m.\nAnswer: 24*m**2 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 363\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32.94 or 5\/2?\nAnswer: 32.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24982390*p**3 - 812*p**2 - 3261*p - 2 wrt p?\nAnswer: -149894340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9345940 by 25.\nAnswer: -1869188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 1755?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 + f - 1. Let i be x(1). Solve i = -q + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*g + 116 = 0, -3*j + 8*j + 2*g - 122 = 0. What is the lowest common multiple of j and -40*((-30)\/(-20))\/(30\/(-8))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 7)*(-32*l + 20*l + 23*l) to s + q*l and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 148910.11241 to the nearest one hundred.\nAnswer: 148900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 167*z - 57. Is r(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-155 + 155 + 25*d + 3*d**2).\nAnswer: -3*d**2 - 25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**2 - 7*d**2 + 117 - 117.\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/33174 and -85\/66.\nAnswer: 364914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:03 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2)\/(567\/(-54)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -0.092, -3, -0.2, 3\/5.\nAnswer: -3, -0.2, -1\/10, -0.092, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 6 - 30 = 0. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.8 + 7.8. What is the fourth biggest value in -6, r, 0.2, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.22, -4, 1.1, -5, 11?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1797*k + 3 - 5 + 2.\nAnswer: -1797*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((4 - -10) + -10 - -3) - 46?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 6:07 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7))**(-22) assuming w is positive.\nAnswer: w**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 52*z + 2. Let q(a) = -16*a. Let p(w) = 539*w. Let u(x) = -p(x) - 33*q(x). Determine u(s(h)).\nAnswer: -572*h - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 + 183317*x + 1283170 = 0. What is x?\nAnswer: -183310, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by (-1 - (0 - 8\/5))\/((-661)\/(-29745)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/2 of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 375 - 270. Suppose -25*t + q = -4*t. Let i = 10 + -6. Solve 0 = 5*b - 3*p - 3, i*b - t*p - 5 + 0 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -109. What are the prime factors of s?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4 - 8 - 3 + 6*z - 3*z. Let i(f) = -f + 3. Suppose -j - 1 = 2*d + 5, 0 = j - 5*d + 6. Determine j*k(b) - 14*i(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30970 + -30890. Sort 0, -28, p.\nAnswer: -28, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:02 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 - 180. Let w = 19736.81 - 19835. Let d = t + w. Round d to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48594 divided by 9.\nAnswer: 16198\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 524.2 - 244.9. What is v rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 13*s + 6831 = 5*z, 3*z = -s + 4098. What is the lowest common multiple of 245 and z?\nAnswer: 9555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 3*l**8\/280 - 5*l**4\/12 - 2*l**3 + 40*l. Let j(k) be the second derivative of m(k). Differentiate j(a) with respect to a.\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/6*21546\/(-28728)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 7*t**5\/60 - 17*t**4\/12 - 5*t**3\/3 + 184*t**2. Is q(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 10. Let t(d) be the first derivative of -30*d**5 - 9 + 16*d**a + 3*d + 16*d**5. Differentiate t(u) wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/((-2)\/(-92)). Suppose n*q + 16 = 25*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.313 + 2.3?\nAnswer: 2.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -6. Let o = -1849 - -1849. Which is the smallest value? (a) -0.4 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -25*r + 40. Calculate the remainder when 38 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18756*x = -18760*x + 5 + 7, -5*m + 6*x = 18 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-45)\/(-6))*(-343)\/(-98).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157.142 - -157. Round g to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:31 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by -109762.\nAnswer: -35\/54881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 849 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from pnp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:46 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 37 = -o + 8*y, 0 = 2*o + y - 68. What is the smallest common multiple of o and 219?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26543265 and 23751.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14381388 and 4108968.\nAnswer: 28762776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8519*g - 10862 + 225430 = 47 - 339214 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5 + 2457*j**4 + 644*j + 3 wrt j.\nAnswer: 20*j**3 + 29484*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**9\/x)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -32*z**3\/3 + 169. Let i(u) = -4*u - 6. Let t(k) = -3*k - 5. Let g(f) = -5*i(f) + 6*t(f). Give j(g(q)).\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54661, -109322, -163983, -218644?\nAnswer: -273305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5821 divided by 3.\nAnswer: -5821\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8330.806 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 6*l)*((-4 + 4 - 2*l)*(l + 2 - 2) - 5 + l**2 + 5 - l**2 - 18 + 13*l**2 + 19).\nAnswer: 22*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 - 1659*y + 818*y + 841*y.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20.8 in 5, 0, -16, 3, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 37*z**2 + 12*z - 103. Calculate o(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58 + 93?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/sqrt(2))**2 + ((sqrt(13) + 1)*-4 - sqrt(13))**2.\nAnswer: 40*sqrt(13) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 152 + 973 = 0. Is (-2138)\/(-18) + 50\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*k**2*y**3 + 2*k**2*y**2 - 20*k*y - 23604*y**3 wrt k.\nAnswer: 212*k*y**3 + 4*k*y**2 - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 53*h**2 + 285*h + 297. Give w(58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 25 * 0.23913\nAnswer: 5.97825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/69 and 22\/613548575.\nAnswer: 1840645725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**5\/60 - 7*y**4\/24 - 5*y**3\/6 + 64*y**2. Give q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*c + 4*x - 472, -4*x = -c + 480. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8602030043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 95\/167?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -111, 626, 2075, 4476, 8069, 13094, 19791?\nAnswer: 28400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000102101 (base 3) in base 14?\nAnswer: 1065b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6313024 is divided by 85311?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 u when four letters picked without replacement from wywuuuyluywwuuuwyyw.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**6*d**2 - 735*a**4*d**3 - 2*a**2 - 1812*a*d**3 wrt a.\nAnswer: 360*a**3*d**2 - 17640*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28784949?\nAnswer: 3, 9594983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/6)\/((-2)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27132 divided by -1596\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -92232*p + 3. Let b(g) = 6*g + 3. Determine b(l(w)).\nAnswer: -553392*w + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**4\/12 + 5*s**3\/2 - 8*s**2. Let l be j(-5). Sort 0.5, -3\/2, l in decreasing order.\nAnswer: l, 0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 263 = 669 - 270 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/14*(-8 - -20). What is the third biggest value in -5\/9, -1, r, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((15 - 15) + (0 - 13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -4 + 7\/(-3))*-669. Let u = 127 + s. Suppose 0 = -21*m + 16*m - u. What is m rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 29*x**2 + 57*x + 87. Let l be k(-27). Solve 56*a - 58*a = l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -5*z**7\/7 - 17*z**3\/3 + 19. What is the third derivative of c(r) wrt r?\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -234, 1173 in descending order.\nAnswer: 1173, -3, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.62224 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 18 = -4*h, h + 5*c - 3*c + 1 = 0. Let n(d) be the second derivative of -4*d - 1\/2*d**4 + 1\/10*d**5 - d**2 + 0 + d**h. Factor n(p).\nAnswer: 2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19282 - 18006. What is the lowest common multiple of i and 484?\nAnswer: 14036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - u**2 - 31*u**2 - 12*u**2 + 5*u**2.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141521 - -99064683\/700. Find the common denominator of s and (-6)\/28*7\/(-3)*1015\/(-245).\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 + 3 = 0. Suppose 0 = -h*r + 4*r - 6. Suppose 4*n - p = -4, -4 - 4 = 4*n - 2*p. Solve n*a - 16 = 4*a + 4*d, d = -r*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38a906 (base 12) to base 4\nAnswer: -3203102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from {y: 2, f: 1, g: 1, h: 3, s: 3}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.436334108 - -1.4363. What is s rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -102, -6, 11, -3 in increasing order.\nAnswer: -102, -6, -3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/((-1)\/(-18)). What is the remainder when (-66 + -2)*(-9)\/p is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -h + 2 - 0, h + 2*i + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:23 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30500 = -5059*c + 4449*c for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2844 - -2840. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**3 - 8*a**2 + 3*a + 296. What is f(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11576487?\nAnswer: 3, 13, 296833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let q(y) be the second derivative of y**4\/12 + y**2\/2 - 5*y. Give q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -24. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1260 and 20611920?\nAnswer: 61835760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l. Suppose f + l*f = 32. What are the prime factors of (f\/(-4))\/(-1*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 2.2. Let j = 146423 - 146420. Which is the closest to -2? (a) z (b) 0 (c) j (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xihixxxxihxiiihiix. What is prob of sequence hi?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2263, 3276, 4299, 5338, 6399?\nAnswer: 7488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17002 is divided by 1700.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 1)**2 + (sqrt(704)*-1)**2.\nAnswer: 12*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7550857187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*s**3 + 106*s**3 - 91*s**3)*(-3*s**2 + 5 + 4 - 11).\nAnswer: 96*s**5 + 64*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9350 = -36*z + 25*z. What are the prime factors of z?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195652756?\nAnswer: 2, 13, 101, 37253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 16 = 2*u + 2*u, 5*i + 5*u + 5 = 0. Let m(b) = -b**2 - 14. Let x be m(12). Calculate the common denominator of x\/i*2\/(-8) and 26\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 + 64*i + 283. What is k(20)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581, 580, 579?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1372 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19.3? (a) 4 (b) 0.3 (c) -5 (d) 1\/57 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -58\/7. Let j = -3 - -6. Let d = -151\/553 + -1\/79. Which is the closest to d? (a) -0.3 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 407, 5\/3, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 0.1. Let l be 60\/54 - 372\/189. Let q = -39 - -43. Which is the biggest value? (a) t (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*o - 18, o - 2*o + 3*h - 15 = 0. What is the common denominator of (-3)\/(-42) - 3\/o and -73\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15701675 + -1.3\nAnswer: -15701676.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, 1\/186, -0.16, -1\/4, 12, 4 in ascending order.\nAnswer: -1\/4, -0.16, 1\/186, 7\/4, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-115440)\/(-105))\/74 - 12\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v. Let c(r) be the second derivative of -1\/3*r**3 + 0*r**2 + r + 0. What is 5*c(x) - 3*o(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1427271.319346 - -2045408.18058. Let r = -3472673 + i. Let h = r + -6.5. What is h rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 124*d**2 + 136*d - 256.\nAnswer: -4*(d - 32)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3645 - 3547 = 10*c, 5*y - 45 = -4*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444027963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 320055 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20261.\nAnswer: 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1677, 2026, 2375, 2724?\nAnswer: 3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + (sqrt(117) - sqrt(117)*-3*1))\/(-2*sqrt(81)))**2*-5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 104. What is the fourth smallest value in 0, h, -1\/7, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 14 - 7*w**4 + 23 + 167*w - 126*w. What is the first derivative of h(a) wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -88*i**2 - 242*i + 10. Let b(p) = -35*p**2 - 101*p + 4. Let y(r) = 12*b(r) - 5*h(r). Let t(n) = -59*n**2 + 7*n + 7. What is 4*t(l) + 14*y(l)?\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 120. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1512\/1449 - (-3)\/(-69). Which is smaller: c or -14\/2911?\nAnswer: -14\/2911","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-3) + (-40)\/(-6). Factor k**2 + w*k - 2\/3.\nAnswer: (k + 2)*(3*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -875 + 817.3. Round l to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -793 + 865.3. Let f = z - 72. Which is the second smallest value? (a) 0 (b) f (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18 + -2)*(-22 - (-81)\/9). What is the greatest common factor of q and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 - 17*v**2 + 11*v**2 - 8*v**2.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -1073050.4?\nAnswer: -1073050.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 - 9*v**3\/2 + 97*v**2\/4 - 36*v + 16.\nAnswer: (v - 8)**2*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117, 236, 355, 474?\n\"Answer: 119*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*((-32)\/10)\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times 260\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y**2 - 2*y - 3. Let v be m(-2). Let z be (7 - (-216)\/v) + 6\/(-14). Suppose 0 + z*x**2 + 1\/5*x**3 - 3\/5*x = 0. Calculate x.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 500*w + 5263. Determine r(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -374 or -1493\/4?\nAnswer: -1493\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 3*c. Suppose -5*x - j + 189 = -0*j, c = 2*x - 4*j - 58. Let p = x + -21. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-25)*-10)\/5*20. Solve -z*n = -3*n - 16*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -18 - (36 + 3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*-2*1\/(-10). Suppose 3 = z - a. Let o(b) = 5*b**2 - b. Let h be o(1). Calculate the highest common factor of h and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*57\/15 - 24\/(-120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328000 divided by 4160?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l - 26*l - a + 14 = -11, -6*l + a - 28 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8*20\/16*63\/(-105)*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s**4 + 284*s**3 + 458*s**2 + 136*s - 56 = 0 for s.\nAnswer: -14, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4142*f**3*y + 2*f**2*y**2 + f*y**2 + 1711*y wrt f?\nAnswer: 24852*f*y + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:16 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.22, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23986)\/1969 + (-2)\/(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5743686359 rounded to four dps?\nAnswer: -0.5744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601199684.\nAnswer: 2, 3, 7, 103, 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - 2*g - 43. Let j be r(0). Let s = j + 48. Factor -f + 3*f + s*f**2 - 2*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61690315823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 + 3*m**2 - 5*m - 5. Let u(q) = -q**3 + q**2 - q - 1. Let k(p) = f(p) - 6*u(p). Let r be k(3). Put r, 2, -4 in increasing order.\nAnswer: -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 443 = -5*g + 4*g, -n = -4*g - 433. Suppose -33 = -i + 2*v, 3958*v + 220 = 4*i + 3961*v. What is the highest common factor of i and n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2946152 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 421 and -560.1.\nAnswer: -235802.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/((-65)\/(-15)). Let d = 30.9 - 30.8. What is the fourth smallest value in 7, p, d, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -1.02 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -4\/3 (b) 12 (c) -0.2 (d) -1\/3 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 9348.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9287.024 micrograms in tonnes?\nAnswer: 0.000000009287024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*k + 10*k - 9*k to b*k + j and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18591 or -0.02?\nAnswer: 18591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 15)*(-12)\/126?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085 is divided by 302.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:05 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/16))**(1\/14)*(f**(-23)\/f)\/(f\/f**6) assuming f is positive.\nAnswer: f**(-4259\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Solve -20 = 5*s, 3*s + 18 + 6 = l*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2283*o**2 - 2. Let d(w) = 321*w. Determine p(d(u)).\nAnswer: -235242603*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4\/7 - 4*h**3\/7 - 8*h**2\/7 + 4*h\/7 + 6\/7 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 4*j**2 - 2*j - 11. Let q be t(5). Let i be ((-40)\/(-120))\/(q\/(-42)). Which is the biggest value? (a) -0.2 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/18)\/((-2)\/(-8)*9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -4)\/(4\/415*(-15)\/6). Suppose 2*k + 83 = 3*k. What is the greatest common divisor of k and z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2276, -4233, -6190, -8147?\nAnswer: -10104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, -3*g = u - 73 - 158. Suppose -43 = 2*j + 9*j - 769. Calculate the greatest common factor of u and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aeeaeeeeee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20c7b (base 15) to base 4\nAnswer: 121122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36319\/364 + -708\/7. What is the common denominator of c and -61\/16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4094833 is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -52.\nAnswer: -52, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -10. Let s = 72.9 - 73. Which is the closest to s? (a) 0.4 (b) 3\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Let d(k) = 3*k - 4. Let o be d(a). Suppose 11 = -s + o*h, -3*h - 6 = -5*h. Solve -s*w + 1 = 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 78*l**2 - 84*l - 2. Let x be c(-79). Is x at most as big as 393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 o, 1 k, and 1 f when four letters picked without replacement from rrzfowk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/(s\/s**(1\/10)))\/((s\/(s**(-6)*s)*s)\/(s\/s**(-1\/7))) assuming s is positive.\nAnswer: s**(-683\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36204, -72303, -108390, -144459, -180504?\n\"Answer: l**3 - 36106*l - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 425134 - -12431?\nAnswer: 440565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. What is the third derivative of 14*k**2 + 10*k**2 - 8*k**6 - w*k**6 - 3*k**6 wrt k?\nAnswer: -1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302\/8 + (-12)\/(-48) 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 11:15 AM and 12:17 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4)*n)\/((n**(-1)*n)\/n))**49 assuming n is positive.\nAnswer: n**(539\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 29*i + 24*i - 5 - 52*i. Suppose -4*d + 10 = 2*l, -d - 6 = -l + 2. What is the remainder when l is divided by s(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88414 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4207 - -676. List the prime factors of b.\nAnswer: 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1953 - 207. Round b to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4*p + 2, -2*p = -4*f + p - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 383, 783, 1181, 1577, 1971, 2363, 2753?\n\"Answer: -a**2 + 403*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, d: 1}. What is prob of picking 1 d and 1 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.066752828 to four decimal places.\nAnswer: -0.0668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*k + 16, 2*k + 2*w = -16 + 2. Suppose -c + 3 = -1. Sort c, k, -1 in decreasing order.\nAnswer: c, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -1, 3, -78 in increasing order.\nAnswer: -78, -6, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -12212?\nAnswer: -12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -18. Let k = 3 + z. Let d = -2 - k. Which is the smallest value? (a) d (b) -1\/3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k, -20*h + 18*h + 16 = -2*k for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99318?\nAnswer: 2, 3, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/21, -3, -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -20, -44, -78, -122?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:42 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**2 - 13. Let i(y) = -15*y**2 + y - 27. Determine -2*i(x) + 5*v(x).\nAnswer: -5*x**2 - 2*x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 22*v + 16*v - 32*v. Let i be r(-6). Find the common denominator of 71\/20 and (-12)\/48 - (-245)\/i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, n: 1, r: 3, y: 1, p: 2}. What is prob of sequence ppn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046*0.0529.\nAnswer: 0.0024334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 17*l - 2. What is z(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*v**3 + 76*v**2 - 3*v wrt v?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.15, 1\/10, 10, 24?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.42 + -11.22. Let k = c - 0.2. Let g = k - -10.9999932. Round g to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8705, -8704, -8703?\nAnswer: -8702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 2 j when four letters picked without replacement from jppypjpg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 5*t + 4. Let h be -28*1*(-1)\/4. Is v(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s - 19. Let m(z) = 24*z + 41. Let x(c) = -9*g(c) - 4*m(c). Let l(v) = 6*v + 14. Give -3*l(o) + 7*x(o).\nAnswer: 3*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 20 = -5*c, j - 4 = 2*c + 3*j. Let q = 1.7 - -17.3. Let d = q - 14. Sort d, 1, c in descending order.\nAnswer: d, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2\/13 - 4824*f\/13 - 2908872\/13 = 0.\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 19*n - 18. Is 18 a factor of f(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17597330 divided by -3519466.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzaqtatttstqqqs. Give prob of sequence qzs.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 361908195 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -11*h - 16*h + 36*h. Let y(n) = n. Determine q(y(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -57*c + 1. Calculate z(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56346767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25083125374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/26288785 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 7*a = -8*a - 8, 2*a + 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 4. Suppose -20*z = -24*z + 152. Suppose -z = -q*p + 52. Calculate the greatest common divisor of 27 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1 - 7 - 14*h - 3*h. Let z(u) be the first derivative of -3*u**2 - 3*u - 1. Let v be 62\/31*(3 - 1). Determine v*b(i) - 11*z(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667494562?\nAnswer: 2, 7, 17, 400657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 68*g**2 + 251*g + 6329. Give r(-35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1600, 3255, 5044, 6967?\nAnswer: 9024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from eefegkkeefmmfeff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127604, 510383, 1148340, 2041475, 3189788, 4593279, 6251948?\nAnswer: 8165795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 30*s**2 + 32*s - 79. Let b be t(29). Solve -h = -b*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(1 - 2 + 2)*(13*w + 34*w**2 - 13*w).\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(3\/5)*m))\/m**(1\/3)*m*m*m**(1\/8)*m**(-3))\/(((m\/((m**6*m)\/m))\/(m*m**(-4\/3)))\/((m\/(m*m**(-2\/5))*m)\/m)**(-29)) assuming m is positive.\nAnswer: m**(-1049\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40170, -64, 3\/7?\nAnswer: -40170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-63)\/90*10\/6?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(144\/(-105))*(32\/(-28))\/(-4)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -35. Round h to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/6 - (2 + -1). Which is smaller: -1\/69 or l?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2542 * 1.2\nAnswer: -3050.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 56. Let r(y) = -y**3 + 2*y + 3. Let b be r(0). Suppose k - 38 = -b*p. Calculate the lowest common multiple of p and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 1:06 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or 186962?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(88)\/sqrt(4)*5)\/(sqrt(2) + sqrt(18)\/(sqrt(9) - sqrt(81)) - sqrt(2)))**2.\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 17*a + 43. Suppose 0 = 3*q + 4*y + 53, -y - 77 = -14*q + 19*q. What is the tens digit of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53557449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 3*s + 3. Let u(a) = -3*a**2 + 5*a - 5. Let q = 12 + -22. What is q*g(l) - 6*u(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2\/13, -7, -2056, -2 in descending order.\nAnswer: -2\/13, -4\/7, -2, -7, -2056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6680000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 318 in 49, 0.5, 1\/3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -9.723?\nAnswer: -1.9446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5171 - -1)\/3 - 0. Suppose -5*b + u = -b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at most 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64*i**4 + i**2 + 646 wrt i?\nAnswer: 256*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -2. Suppose 2*q = -2*q + j. Calculate the smallest common multiple of (24\/10)\/(3\/15) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1123590, -1123972, -1124354, -1124736?\nAnswer: -1125118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 35 (b) -0.139993 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1736617 (base 14) to base 3.\nAnswer: 210111120012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -485*n**2 - 2020 + 2*n + 128*n**2 + 2020 as l*n**2 + t*n + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14273\/20416 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8019667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-151416)\/(-1501542))\/((-2)\/(-34))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 2:11 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001288401 to 7 dps.\nAnswer: -0.0001288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**5\/4 - 33*c**4\/4 + 41*c**3\/4 + 57*c**2\/4 - 23*c\/2 - 6 = 0.\nAnswer: -1, -2\/5, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189252406 by 3862294.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678658971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-1 - 14\/(-8)). Let a(m) = -4*m**4 - m**3 + 4*m**2 - 9*m. Let q(v) = 6*v**4 + 2*v**3 - 6*v**2 + 14*v. Let g(d) = c*a(d) + 5*q(d). Factor g(r).\nAnswer: -2*r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.40816229 rounded to one decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966 divided by 66?\nAnswer: 1483\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1986 take away -68850.526?\nAnswer: 68850.3274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25482 * 0.19.\nAnswer: 0.0484158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4258 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 12. Let t be 2 - (-3 - (o - 1)). Suppose t*m = 10 + 20. Calculate the smallest common multiple of m and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -311*(-2 - (-1)\/(-6)*6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13278752.\nAnswer: 2, 29, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-13845.\nAnswer: 27690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2. Let t(n) = -n**2 + 19*n - 1. Let k be t(19). What is the smallest common multiple of 6 and g(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 17*f - 6. Suppose -f*u + 21 + 36 = 0. Calculate the remainder when -34 + 40 + (48 - (-2 + 1)) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 take away -29?\nAnswer: 28.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39215, 38294, 36753, 34586, 31787, 28350?\nAnswer: 24269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 divided by -1848.\nAnswer: -179\/1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -111*x + 19. What is r(3)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 r when three letters picked without replacement from {r: 6, n: 1, q: 2, d: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006111295 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13307, 12715, 12123, 11531, 10939?\nAnswer: 10347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.73 + 98.27. Let f = 99.047 - d. Let i = f + -0.04502. Round i to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 654*d - 14 + 21 - 11*d**2.\nAnswer: -11*d**2 + 654*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 7 - 35 = -4*p + 8*j - 4, 5*p = 15*j + 24 + 66 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2060263 or -2060266?\nAnswer: -2060266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/17 (b) -1 (c) -108 (d) 0.25 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -1. Let n be (5 - -1)*6\/a. Let y(h) = -h**2 - 8*h + 11. Let l be y(n). Solve -l*p + 3*p - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:15 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 904536.3 hours?\nAnswer: 3256330680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 853*s**6\/6 + s**4\/6 - 13*s**3\/2 - 2*s**2 + 7485*s. Find the third derivative of l(g) wrt g.\nAnswer: 102360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 4. Let s(t) = 28*t - 87. Let x be s(3). Let k be (3 - 3) + x\/q. Solve p + k = -2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 + m**2 - m. Let y(w) = 0*w**3 + 3*w**2 + w**3 - 2*w**2. Let b be ((-4)\/6)\/(12\/18). What is b*y(c) - r(c)?\nAnswer: 2*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 1. Let d(k) = -3*k. Determine n(d(z)).\nAnswer: 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1072 and 4757.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7311346 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = -c. Suppose 0 = -4*t - 2*s - 42, -c*t - 38 - 4 = -2*s. Calculate the remainder when (6\/t - 4)*-14 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-54)\/(-5))\/(6\/(-20)). Let o be 25\/50 + 3\/(-2). Let h = o - c. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let h(w) = -79*w + 560. Let x be h(7). List the prime factors of 350\/x*5\/(-2)*q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 7*t**2 + 5*t - 10. Let v be p(7). Let i be 1 - (-4 + (-3 - -1)). Let b = 12 - i. Solve 0*j - v = -b*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 + 6*k - 6. Suppose q - 11 = -2*q - j, -4*q + 11 = 5*j. Let d be t(q). Suppose -3*m + d = -18. 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: Calculate prob of picking 1 d, 1 a, and 2 p when four letters picked without replacement from {u: 1, p: 4, f: 10, a: 2, d: 2}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -801*x**2 + 2*x**3 - x + 382*x**2 - 2 + 374*x**2 to g*x + q*x**2 + t + p*x**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-3 - 2\/2). Suppose 4*t - 2*t = m. Suppose 3*d - 2*d = 4*s - 13, -5*d + t*s + 3 = 0. What is the common denominator of d and 35\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*k**5\/9 - 2254*k**4\/9 + 53690*k**3\/3 - 3461098*k**2\/9 - 6094088*k\/9 + 331240 = 0. Calculate k.\nAnswer: -2, 2\/5, 45, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 0.04, -4, 1, -8, 0.101?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 114*b - 1440.\nAnswer: 3*(b - 48)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35092859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*t - 23*t + 4. Let w(y) = -y - 1. Let s(g) = -7*g - 4. Calculate t*s(c) - 6*w(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012041535 (base 6) to base 15.\nAnswer: -db8382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u - 12. Let b be h(-5). What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1070, -2287, -3498, -4697, -5878, -7035, -8162?\nAnswer: -9253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by (4\/3)\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f**3 + f - 2. Let z be r(1). Suppose -12*n = -11*n - z. Let t be (-4)\/n + (-81)\/(-15). Let p(u) = -u**2 + 5*u. What is p(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11134 divided by 138\nAnswer: -5567\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = 3*g. Suppose 5*t + g*f - 22 = 3*f, -f - 24 = -5*t. Solve t = 4*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + (7 - (-3 + -1)) - -4\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.2 + 29.5. Let s = 15 - 15.1. Let z be (-49)\/182 + (-1)\/(-2). Put s, n, z in descending order.\nAnswer: n, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1953518 or 1953521?\nAnswer: 1953521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*u = -79*u + 72*u - 3581 - 2689 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 443946 and 24978.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r + 5*r + 5*u, 2 = -2*r - 2*u. Solve r*m + 6 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.905 - 0.505. Let c = -5.42 - -0.42. Let u = c + 0. Sort 3\/8, u, y in decreasing order.\nAnswer: y, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 16\/(-6 + (-40)\/(-6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:24 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*f - 235*f - 218*f)*(3 + 1 - 3)*(-f**4 + 2*f**4 + 3*f**4).\nAnswer: -1900*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -735, -1475, -2219, -2967?\nAnswer: -3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135568457 to the power of 1\/2, to the nearest integer?\nAnswer: 46212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45315317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4613261 (base 8) to base 9.\nAnswer: -2316032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88060)\/(-1086912) + (-3)\/162.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(((-800)\/(-10))\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99892)\/13221)\/((-4)\/(-54)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, -0.01, 0, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:49 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, 1, -1 in descending order.\nAnswer: 1, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**2 + 18*f**2 - 64*f**2 - 8*f**2.\nAnswer: -77*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2)*(24\/(-12))\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12897 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 1\/2*m**3 - 10*m + 1\/20*m**5 + 0 - 2*m**2 + 1\/2*m**4. Give v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.07, -1, -7, -20 in ascending order.\nAnswer: -20, -7, -1, -0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 307*u**3 - 9491588*u + 9491589*u - 2*u**2 + 5*u**2 to a*u**2 + h*u**3 + x + z*u and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 12 + 1 - 12 + 4*n - 4 - 10.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15061*d**2 + 6537*d**2 - 623424 + 623423.\nAnswer: 21598*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -30*i**3 - 5*i**2 - 3*i + 2. Let f be o(-2). Does 17 divide (4 - 7 - -2)\/((-2)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1382507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30\/795*4\/6*25\/1000*60\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100.1329848 - -15.\nAnswer: -85.1329848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -38. Is 38 a factor of ((-304)\/f)\/((-38)\/(-285))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**2 - 7*r + 7. Let v(b) = 2*b**2 + b - 1. Let k(u) = n(u) + 3*v(u). What is k(3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-9)\/k)\/k*k**(1\/5)*k**(-5\/4)\/k*k*k**(-1\/5)\/k*k)**(-1\/62))**19 assuming k is positive.\nAnswer: k**(931\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 1)*14\/21. Factor 31 - 4*j - 11*j - 4*j**p - 7 - 5*j.\nAnswer: -4*(j - 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40957819 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011322639 rounded to five dps?\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103947 - 72883. What are the prime factors of h?\nAnswer: 2, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f - 71 = 3*s, -4*f - s = -284. Suppose -g - f = -3*g + 3*t, -3*t - 133 = -4*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262233924 is divided by 2363.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*y**3 + 80*y**3 - 49*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -5*q - 3. Let r = -24 + q. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40627 divided by -3\nAnswer: -40627\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + i - 5 + 0*i - 4*i + i + 1 - 2*i - 1 + (5 - 4 - 3)*(3*i - 2*i + 3*i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 10738557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 92 = 104 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-24)\/4 - (-2 + -15 + 4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-18)\/135)\/(((-28)\/5)\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -691573, -691574, -691575?\n\"Answer: -l - 691572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 + 25 = -40*s. Let a be (4 - 12\/9)*s. What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 26f746e?\nAnswer: 26f746d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.5? (a) 24.9 (b) 1.2 (c) 4 (d) -0.01 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 6*j - 4. Let t be h(4). List the prime factors of (-2)\/(-8) - (-47)\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-1))\/1 + -10. Let a = -40 + 63. Let k = a + f. Calculate the remainder when 38 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 19*f**2 - 26*f + 14. Determine g(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)\/((m*m**(-1)\/m)\/m*m)*(m**5*m*m)**41 assuming m is positive.\nAnswer: m**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5) - 1\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0) + 24 + 7 - (18 - 13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (3 - (12 + (1 + -1 - 8) - -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/6*(-5 - 1222)?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 4. Let z = 296 + -301. Which is the third smallest value? (a) d (b) 2\/13 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = 3*g - 43, -58 = -3*g + 2*s. Suppose -10 = 3*y - g. Calculate the greatest common factor of y and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, s: 7, v: 2}. What is prob of picking 1 v and 3 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 6338 = 4*g + 6368, g + 5*m - 1 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/(z\/z**(-8\/3)))\/z))**34\/(z*z*z**(1\/10))**(-1\/32) assuming z is positive.\nAnswer: z**(119743\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {n: 8, l: 2, t: 4, r: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 691121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.5 + 0.25. Let j = -0.25 - x. Let p = 0.5 + j. Round p to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Solve -n*x - 4 = -6*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = 19 - 53. Suppose k*z = 174 + 72. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeteeeteeeeell. Give prob of picking 1 l and 1 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 1. Let q be s(4). Let m(l) = 2*l**3 + l**2 + 2. Let f(h) = 2*h**3 + h**2 + 3. Determine q*f(x) - 4*m(x).\nAnswer: -2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = 4*q, -57*a + 5*q - 5 = -59*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10090 and 11115?\nAnswer: 22430070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 36605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, b: 2, a: 5, d: 3, k: 5}. Give prob of picking 4 k.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3 - 5\/(-2)). Suppose 0 = -4*o + d*o - 108. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*a**4*u - 340*a**3*u**3 + 262*a*u**3 - 28*a*u**2 + 3*u**3 - u - 2 wrt a?\nAnswer: -2604*a**2*u - 2040*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 492a (base 11) to base 15\nAnswer: 1d9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82436957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -110*y - 992. Give n(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 16*h - 394. Let o be t(38). Let v = 0 - 0. Suppose -4*a - 3*g = -o + 35, -5*g + 5 = v. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, -7 in descending order.\nAnswer: 20, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(605) + -1))**2 + sqrt(605) + -6*(sqrt(605) + 0).\nAnswer: -847*sqrt(5) + 21816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 23*j**2 - 2*j + 9. Let f(z) = 24*z**2 - 2*z + 11. Give 2*f(h) - 3*n(h).\nAnswer: -21*h**2 + 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 30676\nAnswer: 122704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 4*k - k)*(-5*k + 2*k + 5*k)*(22*k**2 + 2100*k - 2100*k) + (-4 + 3 + 3)*(2*k**4 + 2*k**3 - 2*k**3).\nAnswer: 224*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 204\/4386*-258*(-7)\/(-4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 13324827?\nAnswer: 13324842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985967 is divided by 386?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l - 3. Let h be q(-5). Suppose -2 + h = 4*t. Solve -2*y = t - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 19*u - 51. Let z be t(-7). Let y = z - -204. Calculate the greatest common divisor of y and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 + 114 = q, 0 = -q - 6. Solve 30 - s = -6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1488 and 457008.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a - 4. Let c(k) = -k**3 + 3*k**2 - 3*k + 3. Let p be c(3). Let i be l(p). Solve -2*w - 25 = -5*b, 3*w + i = 2*b - w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 8. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 2*t - 22. Let v be s(15). Let w = v + -142. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u + 2. Suppose 0 = -4*x + 4*i, -3*x + 0*x - 2*i + 10 = 0. Suppose 6 = -x*m, 4 = -o - 5*m - 6. Determine r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t - 15. Suppose c - 8 = -c. Let f = c - t. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 - 406390.\nAnswer: -406389.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 1)*(-2 + 6 - 1)*(-3*t - 2*t + 4*t) in the form b + c*t and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8. Let x be (0 - q) + (-3)\/9. Let n = -1.408 + -2.592. Which is the nearest to x? (a) n (b) 1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 503719.4nm?\nAnswer: 0.5037194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194694 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 - 16*r - 56. Let y be d(-6). Suppose j - 2*i = 5*j - 260, -y*j + 5*i = -274. Calculate the smallest common multiple of j and 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/8 - 9*i**3\/2 + 24*i**2 + 47*i + 3. Factor w(p).\nAnswer: 3*(p - 16)*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.676 times -0.05?\nAnswer: -0.1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/3, -5135\/3, -6.\nAnswer: -5135\/3, -6, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 64.2 and -5.\nAnswer: 59.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620629 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v**2 + 3*v**5 - 6*v**3 + 17*v + 0*v**2 - 14*v.\nAnswer: 3*v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/6 - (-12)\/(-18). Solve 0 = -2*z - 0*z + m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/7244 and 17\/240916.\nAnswer: 436298876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f. Suppose 4 = -14*b + 10*b. Determine l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.2 - 5. Suppose 0 = -20*w + 50*w + 537 - 507. Let c be (-247)\/78 - 1\/(-6). What is the nearest to c in a, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l - 29*l - 5*l**2 - 3*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2674 - 7240?\nAnswer: -98b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6501 or -3?\nAnswer: -6501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3924 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153526 - 549*i + 153526 to l + t*i and give t.\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 75, 297, 681, 1239, 1983, 2925, 4077?\n\"Answer: 2*o**3 + 69*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6262368kg?\nAnswer: 626236800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/435)\/(11\/33).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -94*y + 91*y + g, 5*y - 6*g - 36 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) -83 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 3.06 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Let k(d) = 32*d - 1. Let w be k(7). Suppose -38 = y*n - w. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.3 - 12264?\nAnswer: -12394.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, x: 1, k: 1, t: 1}. What is prob of picking 1 c and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 19 + 6*z + (4 - 2*z - 4)*(53 - 7 - 4) to n*z + l and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -26*d**3 - 822*d**2 + 816*d - 8. Let k(t) = 16*t**3 + 548*t**2 - 544*t + 5. Let g(a) = 8*k(a) + 5*v(a). What is w in g(w) = 0?\nAnswer: 0, 1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3900\/40)\/(150\/40)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**7\/735 - h**6\/420 - h**5\/70 + h**4\/84 + 2*h**3\/21 - 8*h**2. Factor v(r).\nAnswer: 2*(r - 2)*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-10\/3)*i)\/(i*i*i*i**9*i))\/(i\/i**(2\/9)*i**10))**26 assuming i is positive.\nAnswer: i**(-5876\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/25)\/(23\/(((-75)\/(-2))\/15))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1025 and 137760?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 775929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p - p + 6*p + (4 + 7 - 8)*(p - 4*p + p) + 0*p + 4*p - 2*p in the form w + b*p and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -366 - -369. Suppose -6*j = d*q - 1395, -5*j - 5*q = -6*j + 205. What are the prime factors of j?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066586539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 18571 = -4*r, -42*r - 3*u - 13917 = -45*r. Is r a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 2*p + 1. Let d be l(1). Let v(h) = 0 + 14*h - 17*h - 3 - 2*h + 5. Let t(o) = -4*o + 1. Calculate d*v(r) + 4*t(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 2*h - 237. Suppose 60 = -4*c - 156. Let p = c + h. Calculate the common denominator of p and -37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 2*g**4 - 29 - g**2 - 5*g**3 - 38 + 92 in the form r*g**3 + k*g + n + y*g**4 + b*g**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -81, -151, -219, -285, -349, -411, -471?\n\"Answer: p**2 - 73*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14701*w - 7633?\nAnswer: 14701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 49140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296421533*m**2 - 29422*m - 18379?\nAnswer: -592843066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 96, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14038, -56164, -126378, -224680, -351070?\nAnswer: -505548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -6 + 3 + -1 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 151*g + 260. Let d be q(-52). Sort d, 280, 1.\nAnswer: d, 1, 280","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*k + 4*m, -k = -4*m + 1 - 3. Suppose a - 12 = 4*o, -k*o + 7*o + 2*a = -2. Which is smaller: 12 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/21)\/((-5)\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40282967 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6643742 to the nearest integer?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7467290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2000, -3995, -5992, -7991, -9992, -11995?\nAnswer: -14000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1519 by 1.\nAnswer: -1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1178*v - 603*v - 583*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/272)\/(2\/64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 4*x + 3. Let a be 2\/8 + (-15)\/(-4). Suppose 0*l - 2*l = -a. Let b be (-7 + 3)\/l*-1. Determine w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3 + 314*p**2 + 24649*p = 0.\nAnswer: -157, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -164 + 356?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 165*q**3 + 23*q**2 + 4*q + 16. Let c = -27 + 11. Let a be k(c). Round a to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 3\/4, 3, -2\/13, 2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 753053 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 + 622 = 17*d. Let f(x) = x**2 - 20*x - 184. Let u be f(d). Solve -6*w + u = -7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*v + 3 - 8 = 0, -4*v - 16 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2584 - 2283. Sort -1, 4, u in descending order.\nAnswer: u, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/6 in -5, 0.213, 0, 0.12?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095211780.\nAnswer: 2, 5, 13, 4212353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*l - 8479 + 16956 - 8487)*(0 - 4 + 7).\nAnswer: 201*l - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13567+-1.681730445\nAnswer: -13568.681730445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 + 4*n**3 - 5*n**3)*(-2*n + 5*n - 2*n) + 5*n**4 - 2*n**3 + 2*n**3 + (-3 - 1 + 2)*(7*n**4 - 3*n**4 - 2*n**4).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 473478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 589, -140 in descending order.\nAnswer: 589, -4, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2 = -l, -d = l + 2*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 16*a**2 - 36*a**2 + a**3 - 11*a**3 + 15*a**2 - 7. Let g(c) = -9*c**3 - 4*c**2 - 6. What is 6*d(r) - 7*g(r)?\nAnswer: 3*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -456, -920, -1414, -1950, -2540, -3196, -3930, -4754?\n\"Answer: -2*w**3 - 3*w**2 - 441*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(-1)\/(8\/(-10)). Let r be (-234)\/(-45) - 2\/i. Suppose r*k = 2*z + 2*z + 11, 15 = -3*k - 3*z. Which is greater: k or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**6\/600 + 3*q**5\/100 + q**4\/5 + 2*q**3 + 8*q. Let r(u) be the second derivative of h(u). What is c in r(c) = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 21*g - 80. Let r(p) = 49*p + 848. Let q be r(-17). What is h(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 17*y**2 - y - 16. Let s be x(-17). Sort -2\/13, s, -2\/21, 2.\nAnswer: -2\/13, -2\/21, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*q + 5249, -3*q + 4*n + 766 + 4479 = 0. What are the prime factors of q?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4 + 2*w + w**2 + w - 3 + 4. Let j be h(-5). Suppose 4*t + j + 10 = m, 3*m - 2*t - 41 = 0. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c - 38 + 38 + 3*c**4 wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1172785 divided by 37.\nAnswer: -1172785\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 = -5*v, 5*v = -2*b - 0*b + 12. Is 12 a factor of ((-4 - -1) + v)*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 185 + -193 + 1 + 119. Let p = -96 + 212. Let u = p - j. Calculate the remainder when 26 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**3 - 17*s**2 - s + 12. Let d be j(-6). Let g(o) = d - 2*o - 49 + 3*o. Determine g(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-32 - 19) - 46.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {i: 1, x: 1, y: 2, u: 2, w: 1, p: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/67 or -1?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109.8186 + 0.04.\nAnswer: 109.8586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(5\/(-90)*-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14442*a - 7226*a - 7217*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/660752 and 3\/3268.\nAnswer: 539834384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 53097192?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*f*t**2 - 140*f*t + 19*t**2 + 4*t - 48 wrt f?\nAnswer: -11*t**2 - 140*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 8.9. Let p = 24 + z. Let v = p + -15.0035. Round v to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025000?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125673311 to the nearest integer?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.185 - 145.815. Let y = -148.65 - g. What is y rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*j**2\/13 - 690*j\/13 - 28\/13.\nAnswer: -2*(j + 7)*(49*j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (248866\/(-6))\/((-6)\/36). Let r = b + -442866. What is r rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 9*w + 10. Let f be x(8). Let m(h) = 2*h + h - f*h - 4*h. Let u(d) = 4*d. Calculate u(m(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -3*h**5\/10 - h**4\/6 + h. Let a(k) = 7*k**3 + 3*k**2. Let z(m) = 4*a(m) + 5*p(m). Find the third derivative of z(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009489499 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 550 + -443. Calculate the highest common divisor of 28997 and u.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4661.\nAnswer: 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 63868.4 nanometers?\nAnswer: 63.8684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/2 - 12849*r\/2 + 25706 = 0. What is r?\nAnswer: -12853, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4754*t + 27471 = 17963 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*z - 386 = -366, 387*x - 112 = 382*x - 12*z for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10844476.\nAnswer: 2, 2711119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqq when three letters picked without replacement from qbqbqqqqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 11*y + 2. Let g(h) be the third derivative of 3*h**5\/20 - 23*h**4\/24 + 2*h**3\/3 - 656*h**2. Determine -2*g(x) + 5*v(x).\nAnswer: 2*x**2 - 9*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1851\/84 + 3 - 2\/7 and -85\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/10719 and -7\/14436111?\nAnswer: 129924999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 15. Let z = 255 - 180. Calculate the remainder when z is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l + 24. What is the lowest common multiple of l and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5194*o + 10098*o + 6820*o - 849*o + 15502*o as a + p*o and give p.\nAnswer: 26377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2817 = -f, 3*f + 3*t - 8453 = 7*t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = 4. Let b(i) = 1 - 5*i**2 + 0*i**2 + 6*i**2. Let v be b(h). Solve -3*u + 5*k - 1 = 0, -u - 2*u - v = -4*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -61*x - 612. Determine i(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 32*b. Let a(t) = t**2 + 20*t. Suppose 6*l + 23 = 53. Let y(c) = l*s(c) + 8*a(c). Let n(k) = k + 20. Calculate y(n(i)).\nAnswer: -2*i**2 - 80*i - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 364110989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 3f2?\nAnswer: -3f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-3)*(-3)\/12)\/((-3)\/((-50796)\/(-136)))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -8, 0, -2, -3 in ascending order.\nAnswer: -78, -8, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 at most as big as -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, e: 2, c: 9}. Give prob of sequence pcp.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*l**3 + 31*l**3 + 8*l**3)*(-l + 2 - 2)*(-1 + 11 - 2).\nAnswer: -856*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9*r = -6*r + 114, -4*t + 5*r = -230. Suppose t*k = 72*k - 216. What is the remainder when 69 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 2*g**5\/65 - 3*g**4\/26 - 10*g**3\/13 - 17*g**2\/13 - 12*g\/13 + 36. Factor j(l).\nAnswer: 2*(l - 6)*(l + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 65*z - 64*z. Let u(p) = p**3 + 5*p**2 + p + 4. Determine u(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36 and -2.24?\nAnswer: 38.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*j + 3, 5*j = -0*j + 5*v - 5. Let a be j\/((-3)\/(-717 + 0)). Suppose 2*c + 45 = a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 7*c - 469, -6*f + 7*f - 257 = c. Calculate the greatest common divisor of f and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16508966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -221022 (base 4) in base 12?\nAnswer: -1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15)\/((-77)\/(-385)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 9*j**2 + 5*j - 35. Give c(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*h**3 - 22*h**3 - 7*h + h + (-3 + 6 - 4)*(65*h**3 + 36*h**3 + 13*h**3).\nAnswer: -111*h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/9 - 32*o**3\/9 + 52*o**2\/9 - 8*o\/3.\nAnswer: 4*o*(o - 6)*(o - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.4? (a) 4 (b) 3\/5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66.58*41.\nAnswer: -2729.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 12750?\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 39 (b) -0.3 (c) 2\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 68, -2, 2\/11, 4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1809107332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28bc2 (base 14) to base 16.\nAnswer: -18af6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 32. What is the remainder when 59 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 53, 495 in descending order.\nAnswer: 495, 53, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*b**2 + 23*b**3 - 32*b**2 + 38*b**3 - 1 - 8*b**3 wrt b.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1192204 to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 357 = 897. Suppose -m = 3*n - 51. Let z be n\/(-3) + 1\/(-3). Solve -5*l + z = -2*y - 11, l + 5*y - 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r. Let h = -16 + 18. Let i(a) = 9*a**2 - 6*a**2 + 5*a**h - 6*a**2. Calculate i(f(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*sqrt(28) + sqrt(28))*4*-4)**2.\nAnswer: 2867200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z - 7. Let s be t(3). Let b(r) = -8*r**3 + r**2 + r. Calculate the remainder when 14 is divided by b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6686467 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 328\/(-72) - 8\/18. Let h = 32 - 21. Let a = h + d. What is the highest common divisor of a and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(7) - sqrt(7)*2))\/(sqrt(400) + (sqrt(400) - sqrt(400)*1)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1770934 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56 (b) 0 (c) -0.3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3132*q + 13292*q - 2*q**2 - 13974712 + 1071512 = 0.\nAnswer: 2540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -31*q**3 + 25707*q**2 - 6629*q - 2460. What is k(829)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -26. Suppose -2*i + n = 3. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2693 = 3*i - 0*i, -5*i = 2*p - 2701. Let m = -10747\/8 + p. Calculate the common denominator of m and -28\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -8*g**5\/7 - 381086*g**4\/7 - 2542544*g**3 + 22747446*g**2\/7 - 4568544*g\/7 = 0?\nAnswer: -47589, -48, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60755 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 18. Let j be l(-6). Solve j*a = 5*a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + 3 + -3 + -3. Suppose 18 - 13 = q*k. Solve 0 = -m + 4 - k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1203439 litres to millilitres.\nAnswer: 120.3439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 5812604?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -5*r - 17, -2*x - 69 = 5*r - 36 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 58027, 1, 3 in decreasing order.\nAnswer: 58027, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -13208809?\nAnswer: -13208809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.7, 4\/5, -7, 0.028, 0.05?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/11 (b) 4 (c) -2 (d) 1266 (e) -0.04 (f) -0.3 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 5. Let u be v(6). Do u and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 59. Let i(q) = -30*q - 355. Let m(o) = 25*c(o) + 4*i(o). Let s(w) = 3*w + 28. Let r(b) = 3*m(b) - 7*s(b). What is the tens digit of r(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614056.01 hours in weeks?\nAnswer: 9607.47625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*a**4 + a**2 + 59*a.\nAnswer: 192*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228468 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z - 58. Let b be g(-6). Solve 8*w + 7 = -2*m + 5*w, 0 = b*w + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 238307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 7884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 2. Let s be u(6). Let w be 10\/s*(18\/6 + -5). Solve z - 15 + 7 = y, 5*y = -w*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) 3\/34 (c) -1\/4 (d) -3839\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 1 - 1)*(0 + 3 - 5)*(-6 + 8 + 2)*(-1 + 1 - 2)*(-4*l**2 - 2*l**2 + 3*l**2) + 5*l**3 - 2*l**3 - 4*l**3 as a + j*l + r*l**2 + o*l**3 and give o.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 12*l + 37. Let s be i(6). Do -2125 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**4 + 0*i**2)*(-5*i + 2*i + 2*i) + 0*i**5 - 4*i**5 + i**5 + (1 - 1 + 4*i**3)*(i**2 - 2 + 2).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36ce94 - -2?\nAnswer: -36ce92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -690 + 34501\/50. Find the common denominator of l and -59\/330.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 6638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -10*i + 4. Let l(m) = -13*m + 4. What is -5*k(y) + 4*l(y)?\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 271 + -a4736?\nAnswer: -a4495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327110713 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(230\/(-400))*4\/(-10). Let u(c) = -70*c + 62. List the prime factors of u(w).\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 0 - (-18)\/(-6). Let t(z) = z - 1. Let f(l) = -6*l + 5. Let w(p) = y*f(p) + 10*t(p). Let a(r) = 0*r - r + 3*r. Give a(w(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, and 1 u when three letters picked without replacement from {x: 2, b: 4, u: 1, m: 1, q: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + 13 + -2 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 116?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110447628 to the nearest integer?\nAnswer: 10509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -8799652 smaller than -8799659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29528, -29739, -29950?\nAnswer: -30161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12616 is divided by 343?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y - 44*y = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-388)\/(-6) + (-5)\/(-30)*2. Let d(y) = -78*y**2 + 65*y - 65. Let k(r) = -7*r**2 + 6*r - 6. Calculate w*k(x) - 6*d(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19546, 19544, 19542, 19540, 19538, 19536?\nAnswer: 19534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21552259 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:43 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*2.922.\nAnswer: 99.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(5\/4)))*(z*z\/z**(-17\/4))\/z)\/(z**(8\/5)\/((z*(z*z*z*z\/(z**(-11)\/z))\/z)\/z)) assuming z is positive.\nAnswer: z**(209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -156*x**4 - 292*x**3 - 84*x**2 + 20*x + 32. Let i(f) = 24*f**4 + 45*f**3 + 13*f**2 - 3*f - 5. Let h(v) = 5*g(v) + 32*i(v). Factor h(b).\nAnswer: -4*b*(b + 1)**2*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 2*n - 5847 + 5889 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53, 94, 97, 44, -83, -302, -631?\n\"Answer: -3*l**3 - l**2 + 65*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11725073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g = -36*g - 896. Sort -4, g, -3 in descending order.\nAnswer: -3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/202 and 45\/4.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.44031m in centimeters?\nAnswer: 3244.031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*r + 57*r + 7875 = 0. Suppose 12*c - r = 2271. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + -2*sqrt(648) - (sqrt(96) + sqrt(96)*2 + sqrt(96))\/sqrt(12))\/((sqrt(4) + -2*sqrt(4)*2 - sqrt(4)) + sqrt(576)).\nAnswer: -13*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/7 - 8\/21. Let l be 0 + (-3 - -3) + 4. Sort l, p, -4 in ascending order.\nAnswer: -4, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 9*v + 10. Suppose -5*k - 15 + 50 = 0. Let g be i(k). What is the lowest common multiple of 6 and (g\/8)\/((-1)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 108486500 = -19*v + 108486454, -3*v - 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 22*o**2 + 23*o - 20. Calculate z(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -545, -540, -539, -542, -549?\n\"Answer: -2*a**2 + 11*a - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:54 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/2)*m*m*m*m**(-5))**(-33)\/((m*m**(-3\/5)\/m*m\/(m**7*m)*m)\/(m*m*(m**(2\/7)*m)\/m)**(-35)) assuming m is positive.\nAnswer: m**(-239\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333 and 1221.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*y = 32, -5*n + 4*n + 2*y = 6. Let l be ((-8)\/(-24))\/((-1)\/(-45)). Suppose -b = -n*b + l. Solve -6 = b*h + 2*d - d, 16 = 2*h + 5*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -383\/24 - -95\/6. Let g be (-2)\/6 - 114\/(-18). Let j = -13\/2 + g. Which is the third smallest value? (a) j (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b + 63*b + 162*b**2 - 33*b - 164*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1 - 0) + -20. Let p = -2 - n. Let v = -16 + p. Sort 2, v, -4 in ascending order.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100012000222 (base 3) in base 9?\nAnswer: 305028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 221913*s + 3995406.\nAnswer: -3*(s - 18)*(s + 73989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 3:48 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 1. Let m be k(-1). Suppose 4 = m*d - 2. Let y = d - 4. Which is smaller: -3 or y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2553 or -0.041?\nAnswer: -2553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 4 (c) 8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/152*-4*(-1)\/((-33)\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298880 plus -497825.7?\nAnswer: -198945.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1138126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -3 (c) 0.5 (d) 703 (e) -0.1 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 17168657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13810\/19 - 727. What is the nearest to -1 in 5, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(-4*sqrt(12)))\/(sqrt(6) - sqrt(1764)\/sqrt(6)) + (-2*sqrt(10)\/sqrt(2)*-3 + -4 + sqrt(45)*4 + sqrt(5))**2.\nAnswer: -3647*sqrt(5)\/24 + 1821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12) - 2\/6. Let r = -14 - -19. Suppose b = -2*o + o + t + 61, t = r. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 899167820 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421*s + 424*s = 0. Let x(y) = -y + 15. Let r be x(11). Let j be r\/(0 + (-2 - -88)). Is j < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*i + 11 = -9, 3*p + 3*i = 0. Sort -4, -8, p, 2 in decreasing order.\nAnswer: p, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -3, 1, 2.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205400 divided by 10045?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 27*w**6\/2 - 9*w**5 - 385*w**4\/12 + 30*w**3 - 10*w**2 + 163*w - 2. Factor g(v).\nAnswer: 5*(v - 1)*(v + 1)*(9*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/(1 - 3\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21176 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 8\/15*l**3 + 16\/5*l**2 + 9*l + 0 + 1\/30*l**4. Solve t(c) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/2369, 0.02, -3 in increasing order.\nAnswer: -3, 2\/2369, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348*o**3 - 142*o**2 + 1?\nAnswer: -2088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 562545.188 to the nearest one hundred.\nAnswer: 562500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 0*t. Suppose t*f + 3*f = 95. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(-11*(-3)\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8015 and 152?\nAnswer: 1218280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50019725 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*a + a = -70, 40 = z + 2*a. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268 and 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 7*d**2 - 6*d - 5. Let t be g(-6). Which is greater: -6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29822 divided by 1.\nAnswer: 29822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-61)\/(-671) + -2*5014\/(-44). What is the highest common factor of g and 741?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.378309 micrometers?\nAnswer: 0.000007378309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by 7.\nAnswer: 313\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 798867644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (4 + -7 - -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18 - 12)*10\/6. What is the third derivative of -238*a**3 - m*a**2 + 120*a**3 - 3*a**2 wrt a?\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Let o = m + -5.4. What is the smallest value in 4, -3\/8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384255 is divided by 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*k - b, 3*b = -4*k + 27. Solve 2*f = 4*h - 2, 3*h - 8*f - k = -5*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d + 0*d - d - 20*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3222*y - 2609864. Give k(-810).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 11*y - 23*y + 0*y**2)*(-5*y - 2*y**2 + y**2 + 0*y**2).\nAnswer: -2*y**4 + 2*y**3 + 60*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-3\/4))\/(u\/u**1)*(u**(-1\/2))**35 assuming u is positive.\nAnswer: u**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 122, 190, 262?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 39*q**2 + 12*q + 13. Calculate s(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -125, -190?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 20*m - 45. Calculate the remainder when 28 is divided by c(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/x**2*(x*x**(1\/18)\/x)\/x**13)**50 assuming x is positive.\nAnswer: x**(-8525\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/629 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) -9 (c) 1\/3 (d) -21 (e) 3\/281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 8:44 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17 - -15) + 0 + 7. Suppose -4*v + 314 = 3*z, -v + 73 = 3*z - k*z. Suppose 16 = 81*a - v*a. Solve 2*w - 10 = -a*o, -11 = 2*w - 2*o - o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*j**2 - 61*j**2 - 134*j**2)*(5*j**2 - 11*j**2 + 0*j**2).\nAnswer: 1662*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -7\/5 (c) -16 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*-2 + sqrt(17))*-5.\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 z when four letters picked without replacement from ddddzdddzdzmdmddd.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 556743 or 1200?\nAnswer: 556743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 97c?\nAnswer: -97e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 1.2.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**7\/1008 + t**6\/180 - t**5\/15 - 3*t**2. Let o(c) be the third derivative of n(c). Differentiate o(m) with respect to m.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + l**4 + 3*l**3 + (-8*l + l**2 + 8*l)*(-2*l**2 + 5*l**2 - 2*l**2) - 19 + 19 - 7*l**4.\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 191\/19 - (31 - 35)*10\/(-4)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5\/4 (b) -11 (c) 3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.61 + 0.01. Let r = -0.7 + 0.9. What is the second biggest value in -4, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 902 + 904 = -5*s, 4*a = 28*s + 48 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 49 = -u. Suppose -5 = -4*m + u. Suppose m*g = 10*g. Which is smaller: -7 or g?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(153)\/(sqrt(1089)*-1).\nAnswer: -1 - sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -662015, -662021, -662027, -662033?\n\"Answer: -6*i - 662009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6))**25\/(o**(-2)*(o*o**7)\/o*o*o) assuming o is positive.\nAnswer: o**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23*l**2 + 14*l - 16. Let m be v(4). What is the highest common divisor of m and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -854, -2559, -5126, -8555?\n\"Answer: -431*v**2 - 412*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3756349.\nAnswer: 173, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-111830)\/(-34) - 304\/2584.\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 4, -2*s + 4*f = -16. Let j be (s\/(-20) - -1) + (-12)\/5. What is the remainder when j\/(2\/(-27)) - 2 - 1 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - l + 2*l)*(-5*l**2 + 3*l**2 + 0*l**2) - 7*l**2 + 7*l**2 - 5*l**3 - 4*l**3 + 0*l**3 + 5*l**3)*(-2*l**2 + 2*l**2 - l**2).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 17*d + 24. Let a be y(-7). Let s be 39\/104*2\/a. Let i = 0.04 + 0. Sort i, s, -2\/9 in descending order.\nAnswer: s, i, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 2:10 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 252 * 187.\nAnswer: 47124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-5*(sqrt(72)\/sqrt(3) - sqrt(24)) - sqrt(24))\/((sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*1 + sqrt(108) + sqrt(108))\/sqrt(9))) + -4 + 3.\nAnswer: -sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*m**5 - 144*m**4 + 78*m**3 - 10*m**2.\nAnswer: -2*m**2*(m + 5)*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2*6\/(-20))\/(33*8\/(-240))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from euwwbwwpuuuuwk?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 412*f**2 - 1076*f - 61771. Determine j(409).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -37*o**2 - 665*o + 22. What is c(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/35)*(o*o**(-10)*o)\/o*o**(-1)\/o*o\/o**8 assuming o is positive.\nAnswer: o**(-628\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*c + 22, -c + 14 = -0*c + 5*g. Suppose 3*k - 60 = -3*j, 4*j - 48 = 7*k - 3*k. Let u = j + c. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3379 = -5*s, 3*d - s = -2*d + 5617. Let v be -7026*(40\/(-6) + 6). Suppose -3*h + v = d. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-3)*72\/16. Solve 1 + 4 = -3*w + q, 0 = -3*w - 3*q + n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7434 + 3?\nAnswer: -7431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3182362494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o - 35. Suppose -3*j + 13*h + 12 = 12*h, -24 = j - 5*h. Give i(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 - 22528*x\/7 + 126877696\/7.\nAnswer: (x - 11264)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104.8 - 105. What is the closest to -35 in 0.1, 1, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2568*i**3 + 2*i**2 + 4*i - 6. Let p(q) = -2*q**3 - 2*q + 3. Calculate b(t) + 2*p(t).\nAnswer: -2572*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 1. Let h be r(-3). Suppose h = 4*w - 5. Let z be (1 - 0)\/(-1) + w. Solve 4*b - z*k + 2 = -0*b, 0 = -4*k - 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 7. Let s be c(-7). Suppose -5*i + 75 = 5*y, s = 2*y - 0*y - 3*i - 15. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 216?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 + 1568*q + 153664 = 0.\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2. Suppose -2*b + 1 = -5. Suppose 2*a = -b*a + 45. Let v(w) = -a - w + 9. What is v(q(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 61, 16 in decreasing order.\nAnswer: 61, 16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y - 4071611 - 2105444 = -808174. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290435345 to the power of 1\/3, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 9*o**2 - 9*o + 4. Let p be k(3). Solve -3*n - 2 + 3 = -2*a, p*a - 7 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -10*x. Suppose -n - 3*p + 12 = 0, x*n + 2*p = -3*n + 8. Suppose n = -5*u - u + 24. Solve 2*t = t + u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74421 + 118697. List the prime factors of i.\nAnswer: 2, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74505 divided by -74505\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0*c**3 + 10\/3*c**6 + 0*c**4 + 0*c**5 + 82*c**2 + 72*c + 0. Differentiate d(i) with respect to i.\nAnswer: 400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/88 - (-50)\/4. Let y be (4\/33)\/2*177. Let l = y - p. Sort 2\/17, 1\/8, l in ascending order.\nAnswer: l, 2\/17, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 6*f + 2. Let d be l(-4). Let z = d + 8. Let p(u) = -4*u + 2. Give p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/6)\/((200\/48)\/(-5))?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0355264770415 - -1.3.\nAnswer: 1.2644735229585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpaamid. What is prob of sequence mj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -101*g + 836 + 348 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 5573 - 5555 + 11165 - 2*u**2.\nAnswer: -4*u**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d + 2. Suppose -40 = 5*a - 10. Suppose 113 = -23*r + 803. Let u be r\/45 + (-14)\/a. Let m(n) = 4*n - 1. What is u*t(v) + 7*m(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -0.07. Suppose 7*u - 2*u - 50 = 0. Let x = u + -6. Which is the nearest to 1? (a) w (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154999 - 154995. Let f be 2\/4*-2 - -3. Factor 2\/3*z**f + 0 + 2\/3*z**n + 4\/3*z**3 + 0*z.\nAnswer: 2*z**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12830 is divided by 633.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/8*(-3)\/(252\/(-32))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 766084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h + 125*h - 766740 = 42*h. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdgd when four letters picked without replacement from ssssswmdddgdsmd.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.072 and -0.2?\nAnswer: 2.2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -14. Let o(v) = -v**3 + 6*v**2 + 2*v - 9. What is the remainder when f is divided by o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 4. Let l be t(-3). Calculate the highest common divisor of 110 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/24*(-640)\/(-1080). Let v(y) be the first derivative of 17 + 20\/3*y**2 + m*y**3 + 100\/3*y. Determine w so that v(w) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 2. Let f = s + -4. Is f smaller than 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, 1, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*w**3 + 1527*w - 1527*w - 15*w**2.\nAnswer: -62*w**3 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730 = 44*v + 70 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28\/279 - 10\/31. Let d be (18\/14)\/1 - (1 + 0). What is the closest to d in s, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/2 + 541*x\/2 + 2475 = 0.\nAnswer: -9, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 4*v + 138. What is the tens digit of (6\/8)\/(v\/480)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17690674 - 1975326. Round i to the nearest one hundred thousand.\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*x = 59 - 11, -4*w + 2*x + 84 = 0. Calculate the remainder when w is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**3 - 3*g**3 + 6*g**2 - 48*g**2 + 7*g**3 + 7*g**2 - 1 as u*g**2 + q + p*g + b*g**3 and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -402816 - -402937.4115. Let d = n + -0.0115. Let p = 121 - d. Which is the nearest to 2? (a) 4\/7 (b) 0.03 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**3 + 33*g**3 + 20*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-6)*4\/(-4) - 2. Factor 4\/3*t**2 - 4\/3 - p*t**3 + 2\/3*t.\nAnswer: -2*(t - 2)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - v - 3*v - 12 = 0, 3 = -2*m - v. Suppose m = 4*g + 3*u - 2 - 4, 3*g + 5*u = -1. Let w be ((-7)\/(-14))\/(4\/80). Solve g*d - w = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than 293\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/33 and 73\/2832.\nAnswer: 31152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*j - 45. What is the highest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 + -1.1. Let n = r - 0.0999985. Round n to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**8\/840 - u**7\/420 - u**6\/180 + u**5\/60 + u**3\/2 - 32*u. Let h(t) be the second derivative of a(t). What is y in h(y) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21802\/2909 + -436588197\/63998. Let t = o - -6813. Find the common denominator of t and -34\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 460, -2, -23, -4 in decreasing order.\nAnswer: 460, 4, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*n + 26*n + 152 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/4 - 3*z**4\/4 - 9*z**3\/4 - 5*z**2\/4.\nAnswer: z**2*(z - 5)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 - 3*i - 6*i - i**3 - 29 + 6*i - 14*i**2. What is the remainder when 34 is divided by j(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 15 = b, 0*w + 15 = -w + 2*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -443 - -807. Suppose d - 4*g = u, -1405 = -4*d + 3*g - 4*g. What is the highest common divisor of 44 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 f when three letters picked without replacement from ffsffffsf?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, u: 1, k: 5, f: 1}. What is prob of sequence ut?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x + 4*x + 9*x in the form y*x + m and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + 0*o + 3*o)*(-3 + 4 - 3)*(2 + 0 - 4)*(-2*o - 4*o + 4*o) to d + p*o**2 + u*o and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -11. Let x = 29 + u. Let d(n) = 2*n**3 - 21*n**2 + 13*n - 23. Let i(t) = -t**3 + 11*t**2 - 7*t + 12. Let v(y) = x*d(y) + 11*i(y). What is v(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -84, -180, -312, -480, -684, -924?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/4)\/(2\/12). Find the common denominator of c\/(-4) - (-32)\/(-6) and 53\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d**2 + 91*d + 17. What is y(-8)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) -3 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.54611 + 0.05389. Let z = -1507.656 - -1505.056364. Let j = z + o. What is j rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*m + 5*b, m + 84 = 3*m + 2*b. Let l = m + -20. Let g = -11 + l. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 1, p: 2, s: 4, u: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 1. Let b be (-12)\/21 - (-9)\/(-21). Let a(h) = -36*h**2 - 4*h + 1. Let z(u) = b*a(u) - 4*n(u). Find the first derivative of z(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75\/53 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i - 4. Let p(q) = 65*q + 25. Determine 4*p(u) + 25*y(u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 7*x - 10*x - 3*x + 192*x**3 + 11*x.\nAnswer: 192*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107053 is divided by 366.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 7*j**5\/90 + 2*j**4\/9 + j**3\/9 - 2*j**2\/9 + 2*j. Factor a(w).\nAnswer: 2*(w + 1)**2*(7*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5653 divided by -1\nAnswer: 5653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(95)*4)\/(sqrt(45)\/(sqrt(576)*2)).\nAnswer: -384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49819?\nAnswer: 7, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from bnnnnnnnnnnnnnnnnn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-27))\/(-2)*-3*(-12798)\/1422.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 513916 - 513503.223. Let f = 409.8 - w. Round f to 1 decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/438 and -43\/57743.\nAnswer: 346458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p*x**2 + 45*p*x + 171*p + 3*x**3 wrt x.\nAnswer: -2*p*x + 45*p + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -15*y**2 - 11*y - 8. Let l(j) = -8*j**2 - 6*j - 4. Let p = -1667 + 1671. Determine p*t(x) - 7*l(x).\nAnswer: -4*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 15. Let r be (0 - 1)\/(u - 9). Is 2\/r - 8\/(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -862 and -38.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -10*q - 160. What is the remainder when (6*4\/(-4))\/((-2)\/q) is divided by 10\/1*45\/18?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*(-2)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 6*b**2 - 8*b - 4. Let a be s(-7). Suppose -a = 3*j, 5*m - 2*j = 263 + 94. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**3*y**2 + 256383*l**3 - 2*l**2*y**2 + 4*l**2 + 21*l*y**2 - 4268 wrt l.\nAnswer: -12*y**2 + 1538298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 32020*d**2 + d + 7. Let y be i(5). Let c be (-1)\/(-1) + 1 - -1340510. Let f = c - y. Round f to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004441 to five dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-33)\/(-6))\/(5\/(-10)). Let k be (5 - 4)*(c - -4). Which is bigger: -20\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 116\/105907 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -31. Let n(g) be the first derivative of 1\/3*g**2 + 2\/9*g**3 + b - 2\/3*g - 1\/6*g**4. Solve n(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 31 - 11 = 3*b, 3*f = -4*b + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 5, p: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 36. Let k be (-1)\/o*(-14 - 132). Suppose 3*b + 99 = d + 2*d, 0 = 2*d + 5*b - k. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -307 - -487. Suppose 4*t + n = b, 8*n = t + 3*n - 45. Calculate the highest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 0\/3 - -3. Let n be 132\/(-42) - 2\/(-14). Sort n, r, 1 in increasing order.\nAnswer: n, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-5)\/sqrt(11))\/(-4*sqrt(600)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 131 = 75 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -31*j + 1264. Let i be p(39). Solve -4*m = 0, i = -2*w + m + 57 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*(sqrt(104) - (sqrt(104) - -2*sqrt(104))))\/sqrt(8))**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {i: 4, s: 2, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -6 - (3 - -6) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3402211.186 + -44?\nAnswer: 3402167.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -1\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 8*t - 9. Give m(-11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -1514?\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -27*z**2 - 943*z + 91. Determine n(-35).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7833908, 31335613, 70505114, 125342411, 195847504, 282020393, 383861078?\n\"Answer: 7833898*h**2 + 11*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 52 = 4*y - 0*j, 0 = -2*j - 8. Suppose 2*u + 2*i - y = 6*u, 5*i = 4*u + 17. Let p(w) = -w - 3. Give p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 7*y + 5. Let j be p(-4). Let b = j + 11. Find the third derivative of -2*r**2 - r**b + 0*r**2 + r**2 wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.4. Let v = 12 + -24. Let j = 10 + v. What is the nearest to -2 in k, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(14)\/sqrt(2))**2 + (sqrt(7) - (sqrt(7) + 1))**2 + 0.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -74 (b) 0.4 (c) -8.448 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -1. Let y be (h - 3) + 1\/(-1). Is 9\/y*86\/(-3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266118479 at least as big as 266118477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 at most 234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**28\/y**(-7))\/(((y\/(y*y*y**(2\/31)\/y*y))\/y)\/(y**(-4\/3)*y)) assuming y is positive.\nAnswer: y**(3416\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 4:19 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 30*v**2 + 82*v - 22. Let u be y(27). Let m(o) = -o**3 + 4*o**2 + 5*o - 5. What is m(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (1*sqrt(110) - sqrt(110)))\/sqrt(10))**2 + 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 134?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let u(d) be the third derivative of 0 + 3*d**2 + 0*d + 5\/24*d**4 + 0*d**3. What is k(u(c))?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -2*c - 4*z, 3*c + 129 = -11*z + 8*z. Let p be c\/(-10) + (4 - 6). Solve -p*t - 3*t + 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by -849?\nAnswer: 160\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 3\/8, 3, -5, 3.5, -5004?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s + 68. Let o be h(0). Let a = o + -67. Solve -2*v + 4*g = 2 + 2, 0 = v - 3*g + a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/(2 - 15\/6) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326831 to the power of 1\/2, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.7, -134, -2\/7?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/15 of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285061608 - -285061541.9999995. Let d = -3.1 + 69.1. Let j = d + h. What is j rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + (sqrt(363) + -1)**2*-2 - (sqrt(18) + 3*sqrt(18))\/sqrt(6)*-5.\nAnswer: -728 + 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqsqvqwqvqqkqqkvvvq. Give prob of picking 3 q.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13 + 2*k**3 - 3*k**3 - k**2 - 11. Let a be 4\/32 - (-3)\/(-24). Let m be i(a). Solve m*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2 + 3*j - 17. Let i be w(5). Let d be 14\/18 - (3 - 2). Which is the nearest to d? (a) 5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57*(-11)\/(-836) + 338\/(-8)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4999, 1\/5, 4 in decreasing order.\nAnswer: 4999, 4, 3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 1002811668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427489 = -3*x - 498311. Round x to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-2\/13))**(-10\/11)\/(i*i*i**0*i\/i**(-6\/5)*i*i*i\/i**(1\/5)*i*i**9) assuming i is positive.\nAnswer: i**(-2411\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/504203 or 0?\nAnswer: 10\/504203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 127 in ascending order.\nAnswer: 1, 4, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7\/4 (b) 29 (c) -5 (d) 20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -596032958.\nAnswer: -596032958.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 173\nAnswer: -6\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -2052133?\nAnswer: -2052150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 0, -5 in descending order.\nAnswer: 0, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 11:32 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26361 is divided by 24415?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009361 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**3 + 3*k**3 + 98*k - 17*k + 6*k**3 wrt k?\nAnswer: 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1876184 and 0.97.\nAnswer: -1819898.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*t + 3 = -5*l, -12 = -4*l - 2*t. Suppose -l*s + s = 4. Let x be (-9)\/3*4\/3. Sort s, -2, x in decreasing order.\nAnswer: s, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 170743 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 12. Let g be d(0). Suppose 0 = v - 0*v. Suppose v = m - 3 - g. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppphpppppppp. What is prob of sequence pp?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Let m be p\/3*1*2. Let -3*a**2 + 4 + 2*a**m - 2*a + 0 - a**2 = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 29, -2124, 4, -9, 5, 0 in decreasing order.\nAnswer: 29, 5, 4, 0, -3, -9, -2124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24726?\nAnswer: 2, 3, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12*n = 20*n - 109468, 5*n = -10. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 93 = 84 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*((sqrt(847) + 1)*-2 - (sqrt(14)\/sqrt(2) + -4 - (sqrt(175) - 2*sqrt(175)))))**2.\nAnswer: -3920*sqrt(7) + 137396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r + 5. Let p be g(-5). Differentiate -8*v + p + 3*v - 73 - 3*v with respect to v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 122 = -3*w, -12*w - 50 = -13*w + m. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4000405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 2*o + 4 - 3 - 1.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(5\/2))\/(o\/(o*o\/(o**(-6)\/o)))*(o\/(o*o**1))**(1\/15))\/((o**0)**(3\/22)*((o\/(o*o\/(o\/(o\/o**(2\/7)))))\/o)**(1\/18)) assuming o is positive.\nAnswer: o**(807\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9611, -38377, -86173, -152879, -238375, -342541?\n\"Answer: 20*c**3 - 9635*c**2 - c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/30 and 23\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15033 and 33.\nAnswer: 165363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 175 + 17 = 0. Let j be ((-49)\/3 + -7)\/(1\/(-6)). Let y be 28\/3*1800\/j. What is the highest common divisor of z and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 477*m**2 + 1920*m + 1924.\nAnswer: -(m - 481)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0 (c) -5 (d) 1\/2 (e) -3\/125 (f) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1540 divided by 110.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllqlllllllllllll. Give prob of sequence lll.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 2 (c) -5 (d) -1195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 27\/280, -1\/18, -2, 0 in descending order.\nAnswer: 1\/9, 27\/280, 0, -1\/18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.842418 + -8.9.\nAnswer: -8.057582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(300\/(-1090)) + (-4)\/5. Solve -b*q - 40*q + 183 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7043, 29516, 66971, 119408, 186827, 269228, 366611?\n\"Answer: 7491*g**2 - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, p: 1, q: 5, o: 3}. Give prob of picking 1 q, 1 p, 1 o, and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 161*b - 10024. Let i be d(-48). Sort -4, 1, -2, -10, i.\nAnswer: -10, -4, -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -163, -166?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10039367881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 305. Let w = 82 + p. Which is bigger: w or -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571621*y**2 + 571562*y**2 - 1143217*y**2.\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-2))\/9*(-3)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a**3 + 413*a**2 + 395*a - 5. Determine v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 48 + 132. What is the common denominator of (130\/u)\/(-13) - 86\/(-42) and -87\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*v - 10, -5*v - 4*g = 3592 - 3620 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5757899120.\nAnswer: 2, 5, 23, 421, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7463807 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: What are the prime factors of ((-30)\/3)\/((-1)\/6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*t + 8, t - 1 = -2. Suppose 5*r = -0*c - 4*c, -25 = n*c. Put r, 0, -5, 5 in descending order.\nAnswer: 5, r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 97*c**3 + c**2 - 89*c**3 - c**2 to s*c**2 + y*c + t*c**3 + i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-55) + (-563)\/11. Let b = -24 - y. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -15*i + 252. Let u(s) = s + 5. Let k be u(-5). Suppose -p + 4 - 2 = k. Calculate the greatest common factor of p and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10680 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 47 = 99 - 206. Solve 3*h = -s - z, -4*h - 4 - 22 = 5*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 66*x**2 + 519*x + 507. Let k be 57\/(-76)*16\/(-6). Let d(g) = 5*g**2 + 40*g + 39. Let s(q) = k*v(q) - 27*d(q). Factor s(c).\nAnswer: -3*(c + 1)*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/10 - (-50)\/(-125).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/((-1)\/(-2)). Let v(c) be the first derivative of c**2\/2 - 7*c + 2. What is v(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-60)*-3)\/((-80)\/(-450)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 + 4*l**2)*(((2 - 2 + 1)*(1 + 4 - 4) + 28 - 7 + 2)*(4 - 6 + 3) - 1 - 3 - 1)*(78*l**2 + 11*l**3 - 78*l**2).\nAnswer: 209*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5994 divided by 10.\nAnswer: -2997\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 1. Let r(w) = w**2. What is r(u(g))?\nAnswer: g**4 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 5969 = 5904 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*c - 162 = 0, 3*r - 124 = -r - 4*c. Suppose -98*a - 213 = -27*a. Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:10 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1355*2140.\nAnswer: -2899700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -19232*d - 2412. Is y(-3) a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537648 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 285 + -290. Let w = 2.6 - 0. Let h = w + 0.4. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*c**2 - 9*a*c*n + 14*a*c - 4*a*n + a + 38*c**2 + 800*n wrt c.\nAnswer: -4*a*c - 9*a*n + 14*a + 76*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444944.\nAnswer: 2, 27809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 114, 181, 252, 327, 406, 489?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1899*n. Let v(g) = 4*g. What is x(v(y))?\nAnswer: 7596*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182363328 by 70032.\nAnswer: -2604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -65*p. Let j be 5*12\/(-540)*-9. Calculate b(j).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-165)*-11*-21*1. Solve 5*f + 20 = 5*x, 2*x - 4*f = -x + k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and 5?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2602220 and -133071.88.\nAnswer: -2735291.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*l + 2*l + 40*l)*(1 - 19*l**2 - l**3 + 44*l**2 - 27*l**2) to r*l**3 + y*l**2 + k*l**4 + a*l + b and give a.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20680*p = -20374*p + 12240 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48353204*i*m**2 + 512528866*m**2 with respect to i.\nAnswer: 48353204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.76 - 0.06. Let g = -1.9 - m. Let n = g - -2.5. What is the third smallest value in -0.3, n, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1776 = -5958. Is g\/10 + (-4)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2. Let a(v) = -643659*v. Calculate a(w(u)).\nAnswer: -2574636*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 4 = -8*y. Let h = -2 + -18. Let f = y - h. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002256 to 7 dps.\nAnswer: -0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*(8\/(-2))\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.85 or -4132?\nAnswer: -4132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(50\/5)*(1 + 37). Let l be ((-9)\/(-4) - -1)*(15 + x). Which is bigger: -12 or l?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/151 and -43\/59?\nAnswer: 8909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t - 3. Let v(q) = -13*q - 5. Determine 5*n(x) - 2*v(x).\nAnswer: -4*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t + 42. Let y be x(-17). Suppose l = -27 + 41. Calculate the greatest common factor of y and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 + 3*a**2 + 92*a + 10. Let u be f(-8). Let j = u - 997. Sort j, -62, -3 in decreasing order.\nAnswer: j, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 0*w - 1\/21*w**6 + 4\/21*w**3 + 1\/7*w**2 - 3 - 4\/35*w**5 + 0*w**4. Factor v(s).\nAnswer: -2*s*(s - 1)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d - d**4 - 13*d - d**4 - 4 + 7*d**2 - 6*d in the form z*d**2 + s*d + w + i*d**3 + h*d**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -1\/120*f**5 + 1\/36*f**3 - 1\/12*f**2 + 7 + 15*f + 1\/72*f**4. Let l(a) be the first derivative of j(a). Factor l(y).\nAnswer: -(y - 1)**2*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/3 - 5*k**2. List the prime factors of g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215 + -127. What is the highest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -160. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s**(-3)\/s)\/(s**1\/s**(9\/4)) assuming s is positive.\nAnswer: s**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {w: 5, p: 1, u: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65663?\nAnswer: 13, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**2 - 4529960*k - 9059940 = 0. What is k?\nAnswer: -2, 905994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1601 * -8.2\nAnswer: 1.31282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 982a?\nAnswer: 9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130\/(-39) + (-2)\/3 + 219?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -9443362310518.\nAnswer: -9443362310534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.87 and -15080?\nAnswer: 15079.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*u - 3379 = -355 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z**3 + 17*z**3 + 14*z**3 + (0*z - 3*z + z)*(z**2 + 3*z**2 + 0*z**2) + 0 + 0 - 2*z**3)*(1 - 1 + 3*z).\nAnswer: 96*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219614?\nAnswer: 2, 109807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -b - 5, -b + 3*k - 6 = 3. Let i(l) = -l**3 - 6*l**2 - 2. Let c be i(-6). Let z = -41 + 40. Sort 0, z, c, b in ascending order.\nAnswer: b, c, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(25\/2))**(3\/13))**(1\/39) assuming n is positive.\nAnswer: n**(27\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 + 183. Suppose g = -18*q + 13*q + 673000. What is q rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327258 = 4*j - 3*x + 53673, -3*x = -15. Round j to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -13)*(-3)\/6. Suppose 0 = -4*l + 7*l - 3*k, -3*k + v = -2*l. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 6*r + 8. Let l(w) = -w**2 - 15*w - 15. Calculate -2*l(b) - 5*q(b).\nAnswer: -3*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71.8 + -72. What is the smallest value in -2, 0, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/15 + 20\/12. Sort i, -4, -7 in decreasing order.\nAnswer: i, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6*n**3 + 5 + (3*n + 2*n - 7*n)*(10*n - 10*n + 2*n**2) + (18 - 18 + 8*n)*(13*n**2 - 15*n**2 + 45*n**2) as l*n + w*n**2 + z + p*n**3 and give p.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -991, 401, 239 in decreasing order.\nAnswer: 401, 239, -991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/9 + 2*d**4 + 10*d**3\/3 - 50*d**2\/9 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/12 or -15\/11?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5 + 3*i - 24*i + 4. What is the lowest common multiple of s(-1) and -1 - 2*((-25)\/2 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 26\/17 (b) -1.2 (c) 5 (d) 3\/8 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -657 (base 12) to base 7.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -9*r + 6*r - 63, h = -2*r + 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 36 = 3*x - 2*v, 5*v + 2 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 691 - 3*b**3 + 63*b**2 - 51*b**2 - 10*b**2 as u*b**2 + c + j*b**3 + t*b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 20 = -0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.8212 - -0.0788. Let s = 26 - -6. Let j = l - s. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55123397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.1 - 15.04. Put i, -1\/3, -3, -5 in decreasing order.\nAnswer: i, -1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 127*q + 3647280 = 52*q. What are the prime factors of q?\nAnswer: 2, 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11736282 to four dps.\nAnswer: 0.1174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 5*b**2 + 7*b - 4. Let w be s(6). Suppose i - 5 = -w. Let c(k) = 3*k**2 + 1. Give c(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 142 = -212. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*h**2*v - 4185*a*h*v + 2*a*h + 3*a*v - 6*a - v + 3 wrt h?\nAnswer: -2*a*h*v - 4185*a*v + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73447694 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.198 in -47, -5, 4, 0.1, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 - 5. Let m = o - -123. Let z = m - -40. Calculate the highest common factor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472408 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308.12 + -307.06666. Let g = a - 1.05. Round g to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 277 (b) 1\/1161 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-20*i**3 - 71*i**2 + 71*i**2) + (-2 + 2*i + 2)*(-i + i + 2*i**2).\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n + 6, 3*n + 12 = -3*a. Let f be a\/2 - 25\/(-10). Let g(p) = p**2 - 5*p - 1. Let s be g(5). Which is smaller: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79628384 to the nearest integer?\nAnswer: 8923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 13021800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 11 = -35. What is the highest common divisor of x and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298584647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011101 - -1011110110?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -36 + 63 + -46.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55.39 + 9.39. Sort b, 4, -2.9 in descending order.\nAnswer: 4, -2.9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1152, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14.81+-0.04142\nAnswer: -14.85142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from ikxikilikikikiix.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -4. Let i = 2 - 1. Which is the second smallest value? (a) m (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 72\/20)\/((-9)\/45). Let g(m) be the first derivative of -m**4\/4 - 2*m**3\/3 + m**2\/2 - 3. What is g(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -0.83633.\nAnswer: -0.0919963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 366879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14733945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 76435.\nAnswer: 76427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -1142, -2566, -4560, -7124, -10258, -13962?\nAnswer: -18236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/22, 5, 0.05, -0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361953?\nAnswer: 1361953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**3 - 2*s + 140*s**2 - 138*s**2 + 6*s**3 as w*s**3 + y*s + h*s**2 + j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let x(j) be the third derivative of -11*j**6\/120 + j**3\/6 - 19*j**2. Let n be x(f). Solve u = -2*u + n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(-32)\/336?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66581589 - 66581589 - 42*y.\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -5, -2, -19 in ascending order.\nAnswer: -19, -5, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 31*t + 9. Calculate l(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 8:31 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 14*p - 462 = 17*p, -a - p + 226 = 0. Calculate the remainder when a is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30870000 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - -33. Suppose -3*t = 2*t - 80. Calculate the highest common divisor of p and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 3:52 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42b038 (base 13) to base 4.\nAnswer: 11332130230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 r, and 1 s when four letters picked without replacement from vvrrvmzsvvrrrvvvvvmr?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1238*w**2 + 2593*w**2 - 1364*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -4 - 4) + (6 - (7 - 4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, v: 1, q: 6}. Give prob of picking 1 x and 3 q.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8167054, 8167064, 8167080, 8167102, 8167130, 8167164, 8167204?\n\"Answer: 3*m**2 + m + 8167050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and (14\/21)\/(1\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 9*l = 3*z + 15, 0 = -2*l + z + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1522*j**2 - 5 - 3051*j**2 + 1527*j**2 + j**3 to the form p*j**3 + w + l*j**2 + o*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20*k - 270. Suppose -16*h + 4 = 260. Calculate the remainder when 192 is divided by q(h).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 214*h - 2158. Calculate f(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50, 64, 112, 212, 382?\n\"Answer: 3*t**3 - t**2 - 4*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12515.34 and -274.\nAnswer: 3429203.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 132208?\nAnswer: 1189872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000081296879 to seven decimal places.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 69.3, -17.\nAnswer: -17, -0.5, 69.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9788 and -9373346671.\nAnswer: -9373346670.0212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 34*x**2 - 329*x - 52. Let q be u(8). Sort -72, 0.05, q in decreasing order.\nAnswer: q, 0.05, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 10*h)*(2*h**2 + 3 - 2 - 4*h**2).\nAnswer: 20*h**3 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 10*r + 18. Let g be t(8). Suppose -c - c + 236 = -g*k, 2*k - 448 = -4*c. What is the greatest common factor of 76 and c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/7, 0.3, -5\/3, 9, -0.2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*l**2 + 2 - 2)*(-2*l - l + l) + (3*l**3 - 4*l**3 + 0*l**3)*(0 + 2 - 1) to the form m + z*l + w*l**2 + u*l**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5935, -48265, -163353, -387577, -757315, -1308945, -2078845?\n\"Answer: -6063*d**3 - d**2 + 114*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24663 - -2?\nAnswer: 24665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 28\/((-19712)\/(-1320))*208\/10\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -18*m**2 - 62*m + 91. Let f(l) = 23*l**2 + 83*l - 124. Let x(s) = 7*f(s) + 9*z(s). Calculate x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -266, -2, -4, -6, -10 in increasing order.\nAnswer: -266, -10, -6, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10255 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b = -71 - 49 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 1. Let p be x(1). Suppose 2*m - 4 = -2*b + 10, 5*m = b + 5. Is p smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 389415 and 2145?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-8 + 4)) + -1. Let u be (1 - -3) + 0 - k. Solve -2*n = -3*z - 4*n + 2, 0 = u*n - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*w - 2 + 3 + 11*w to z + c*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9*w = -1561. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8 = 7*o. Differentiate 13*j**o - 159 + 3*j**3 - 3*j**3 + 162 wrt j.\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95207, -190406, -285607, -380810, -476015?\nAnswer: -571222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-113)\/3 + (-19)\/57. Let j = p + 44. Suppose 3*q - 2*g = 399, -4*g + j*g - 665 = -5*q. List the prime factors of q.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 7.8. Let d = -4 - -4.2. What is the nearest to 1 in d, -2, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - 7*w + 8. Suppose 12 = 3*r - 0*r. Let v be k(r). Suppose 5*c - 40 = v. Calculate the lowest common multiple of 12 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118102 or 0.1?\nAnswer: -118102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3099 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8434 divided by 4217.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 6)*(3 - -1). Differentiate 53*b - f - 32*b - 21*b + 36*b**2 with respect to b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 5, p: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -0.2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256, 518, 780, 1042?\nAnswer: 1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 4)*(1 - 1 - 2) + (0 + 2 - 3)*(3 + 2 - 3))*(0*g**2 - 4*g**2 + g**2).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1840 = -2*v, g - 4*v + 920 = -0*v. Let b = g + 11950\/13. Let f = -83\/91 - b. What is the third biggest value in f, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/12 + -1\/4. Let w = -4.05 + 0.05. What is the nearest to i in -0.4, -0.1, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29583 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 2*o**2 + 4*o - 3. Let g be t(2). Let z = g + 7. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 2*j**2 + 2*j**2 + 1 + 3*j - 3*j + 4*j**3 + (-j**2 - j**2 + 4*j**2)*(0*j - 2*j + 3*j).\nAnswer: 9*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-4)*n)\/(n*n**(-1\/6)))\/((n**(-6)\/n)\/(n*n**(-2\/11))))\/((n**(1\/2))**48\/(n**2)**7) assuming n is positive.\nAnswer: n**(-397\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -8.6?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -13. Let y = -4.75752 - -1.75752. Put 5, y, s, -2\/13 in decreasing order.\nAnswer: 5, -2\/13, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.3614, 5, -44.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2742*p - 1333*p - 1410*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*y + 4 - 0, 2*y = 4. Suppose d*w - 8 + 3 = -2*v, -2*w + 8 = -v. Solve 21 = 2*x + x + w*b, 5*x - 2*b - 7 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*x**2*z**2 + 4*x**2 - x*z**2 + 39*x*z wrt z.\nAnswer: 52*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (405\/243)\/((-10)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08039961 to 3 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1401072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-1))\/(-7) + (-40)\/8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -312, -704, -1254, -1962, -2828, -3852?\nAnswer: -5034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 15*a**4 - 145*a**3 + 213*a**2 - 83*a + 3. Let h(n) = 105*n**4 - 1015*n**3 + 1490*n**2 - 580*n + 20. Let f(o) = -3*h(o) + 20*m(o). Factor f(z).\nAnswer: -5*z*(z - 8)*(z - 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (-34 + 18 + -3 - 19))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*k**2 + 2*i*k + 83*k**2 - 115*k wrt k.\nAnswer: 2*i + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2211.\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 6194 + 1812 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34, -97, -196, -331, -502, -709, -952?\n\"Answer: -18*p**2 - 9*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 + 2*m + 1. Let d(a) = a**3 - 4*a**2 + a - 5. Let s be d(4). Let g be ((-1)\/2)\/(s\/(-2)). List the prime factors of l(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58213, -0.3, 4, 1\/9, -115 in descending order.\nAnswer: 58213, 4, 1\/9, -0.3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n + 16*n**2 + 22*n + 13*n**2 - 30*n**2.\nAnswer: -n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 330 (b) 4 (c) -2\/45 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*g + 34312 - 34312 to the form l*g + q and give l.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 3. Let w = i - 13. Let a = 1.44 - -0.56. What is the biggest value in a, w, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 254 - 168 - 88 + 26*k**2 + 11*k**2 + 11*k**2.\nAnswer: 60*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 76*f**2 + 159*f + 812. Let n be s(-74). Let x(p) = 2*p - 4. Let j be x(-5). Let g be j\/18 - 0\/1. Are g and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 4, 16, 46, 100?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (54 - 42) - (-28 + 1 + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, i: 5}. What is prob of picking 4 i?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 3450263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313867.363 rounded to the nearest one thousand?\nAnswer: 314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p - 170. Calculate the highest common divisor of 272 and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25a2 - 108?\nAnswer: 2498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4011 = 14*h + 8757. Which is smaller: h or -913?\nAnswer: -913","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10) + 330\/75\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -114670 (base 9) to base 8\nAnswer: -206723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/4 + 41*z**3\/6 + 5*z**2 + 3*z. List the prime factors of i(-13).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/16, -0.2, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*o**3 + 4 - 18*o**3 - 2 - 7*o)*(-3*o - o**2 + 3*o).\nAnswer: -o**5 + 7*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8\/((-16)\/(-10)) + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -64\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14928 - -14928.4. Suppose -28 = -5*z - 8. Which is the nearest to -2? (a) z (b) l (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2990 + 3010. Let t be (1 + 24\/(-9))*-3. Solve 0*o - t*o = p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g + 21. Let t(f) = 22*f - 4. Let a(n) = -8*n + 1. Let v(c) = 17*a(c) + 6*t(c). Let z(p) = -2*k(p) - 7*v(p). Calculate z(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**5 - 13*a**5 - 18*a**5 + 3*a**5 - 3*a + 3*a + (-2*a**2 + 2*a**2 + 3*a**2)*(a**3 - 3*a**3 - 2*a**3).\nAnswer: -47*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, b: 14}. Give prob of picking 4 c.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 4. Let c be q(8). Suppose z = -s - 2*s - c, s + 3*z + 4 = 0. Let l(t) = -3*t - 3. What is l(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 + -172. What is the hundreds digit of -2 - ((1 - 5) + (-13772)\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70443*r**2*t**3 + 2166*r**2*t - r*t**3 - 3*r*t**2 - 4*r*t - 83*r - 39771 wrt r?\nAnswer: 140886*t**3 + 4332*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1132 and -0.08.\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 515, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 14. Calculate the remainder when 13 is divided by t(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26 - 28 - (-1)\/(2\/28). What is the greatest common factor of a and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17517, 34352, 51187, 68022, 84857?\nAnswer: 101692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1051 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 12*h**2 + 1. Let b be r(-12). Let k be (b - -1)\/((-18)\/(-45)). Find the first derivative of 2 - 2*u - u - k - 2 wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8348 + -1?\nAnswer: 8347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 45*x - 111*x - 81 + 53*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) - (sqrt(11) + (sqrt(11) + 0)*1)) + 2*(-2 + sqrt(99)))**2*3.\nAnswer: -48*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z + 9*z - 14*z)*(29*z**3 - 7*z**3 + 11*z**3).\nAnswer: 132*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/220751 and 37\/30.\nAnswer: 6622530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 417*y**2 + 88*y + 740. What is the units digit of v(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(245) + sqrt(245) + -1 + 3))**2 - (-5 + sqrt(45) + -3 + sqrt(45) + -4).\nAnswer: 50*sqrt(5) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 21. Suppose l*r - 34 + 1 = 0. What is the greatest common divisor of 22 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2813 less than 0.07097?\nAnswer: 0.35227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(1*-3) - -45. Let d = -565 - -569. Let o be (39 - (0 - d))*8\/8. What is the greatest common factor of o and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 21. Let s(o) = 4*o**2 + o - 6. Let m(t) = t**2 - t. Let b(v) = w*s(v) + 5*m(v). Suppose -c = 0, -j - 2*c - 2*c + 6 = 0. Give b(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*180971432\nAnswer: 542914296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, t: 1, z: 5, h: 2, b: 1}. What is prob of sequence hh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3edd (base 15) to base 4.\nAnswer: -3102223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11822, 47765, 107806, 191945, 300182, 432517?\nAnswer: 588950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*y - 88*y + 57*y - 118*y - 83*y)*(-2*y**3 + 4*y**3 - 5*y**3).\nAnswer: 834*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + 0)*(-x + 5 - 5)*(3*x - x + x).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31564 (base 7) in base 14?\nAnswer: -2bdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-52))\/(51*36\/150552)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7 - (2 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99.9 + -73.9. Which is the second smallest value? (a) 0.9 (b) 1\/11 (c) -2\/7 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229050947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 9. Let k(y) = 3*y**2 - 2*y + 23 - 9*y - 9 - 2*y**2. Let t be k(p). What is the highest common factor of 20 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/13)\/(((h\/h**(23\/2))\/h)\/h) assuming h is positive.\nAnswer: h**(329\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:31 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 292 - 330 + 10*d + 2.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c - 0*c. Let d(j) be the second derivative of 0*j**2 - 2 - 1\/4*j**4 + 0*j**3 - 1\/10*j**5 - 5*j. Determine d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 53788.02 hours?\nAnswer: 193636872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244*x**3*z - 400*x**3 - 4*x wrt z.\nAnswer: -244*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -216263 or -30060700\/139?\nAnswer: -216263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-14)))**10 assuming n is positive.\nAnswer: n**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2170952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*g - 5*v + 124455 = 617*g, g = 2*v + 41507. List the prime factors of g.\nAnswer: 5, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57\/5 of a kilogram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 2\/161303, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8688*z + 2874*z + 333668 + 102382 = 0 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 + -66 - -32) + (-6)\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y. Let d be h(-16). Let u(p) = -2*p**2 + 31*p + 16. Let l be u(d). Solve 2*j + l = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8455.283*-17\nAnswer: -143739.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.324216129 - -2.3242. Round q to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40970 by -20.\nAnswer: 4097\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3555142 - -5521?\nAnswer: -3545221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 693, 693, 685, 663, 621, 553?\n\"Answer: -p**3 + 2*p**2 + p + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o**3 + o + (3*o**2 + 2*o**3 - 3*o**2)*(4443 - 2940 - 3377).\nAnswer: -3747*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -981*m**2 - 144*m - 42477849 wrt m?\nAnswer: -1962*m - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-2))\/(350\/20 - 19)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 147 - 33. Let y = 31 - x. What is the biggest value in -1\/3, -4, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -1. Let v = 24.1 + -27.1. What is the nearest to 2 in v, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42157321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + 0 + -5)*3 + (sqrt(13) - (sqrt(13) + (sqrt(325) - (2*sqrt(325) + sqrt(325))))) + -5*sqrt(39)\/sqrt(3))*-2)**2.\nAnswer: -2760*sqrt(13) + 28408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by -1.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 3*w - 1. Let u be c(3). Suppose -n - n + u = 0. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 18. Calculate q(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsazssznhahj. Give prob of sequence nj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 279459 smaller than 279460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 9*g. Suppose -2*r - 1168 + 3890 = g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*i + 2*i + 636, 0 = -4*m + 2*i - 514. Suppose 2*x + 99 = -155. Is m less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 932349632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2358, 1433, -1106, -6075, -14290, -26567?\nAnswer: -43722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 11*n**2. Let y be w(-11). Solve -5*l - g = -6*g + 25, y = -2*g + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {v: 8, d: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 113?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37\/4*h**2 - 3*h**3 + 1\/2*h**5 + 3 - h + 11\/4*h**4 = 0 for h.\nAnswer: -6, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -21 (b) -2\/85 (c) 3\/8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 2*w**2 + w - 1. Let z be l(-1). Let k(i) = 8*i**2 - 2*i + 1. Calculate the remainder when 8 is divided by k(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16201.52um to nanometers.\nAnswer: 16201520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1558 + -1558. Let h = -1.1 - -1. Let t = 3.5 - 0.5. Sort 4, k, t, h in decreasing order.\nAnswer: 4, t, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*(-2)\/(-4)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 2*j - 40. Let i(k) = k**3 + 6*k**2 - 22. Let r be i(j). Solve r*t - 12 = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2 - 256*z - 8174 = 0.\nAnswer: -67, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -46. Put q, 3\/7, 2 in descending order.\nAnswer: 2, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2) - 13195*4\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.102, 0, -11, -130\/19 in ascending order.\nAnswer: -11, -130\/19, -0.102, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a millimeter in micrometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m - 14. Let q(i) = i - 2. Let y(x) = -6*q(x) + v(x). Let n(t) = 2*t - 3. Let j = 375 + -368. What is j*y(k) - 3*n(k)?\nAnswer: k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -0.5 (c) -1\/4 (d) 0.9 (e) -2 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28070831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/8 and (-3 - 104\/18) + 4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*v = 2252 - 14453 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**2 + 26*q - 19. Let a be o(-7). Suppose a = 3*w - 5*k - 1, 0 = w + k - 15. Calculate the least common multiple of w and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305 (base 6) to base 10\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c28 + -d?\nAnswer: -4c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*g - 21 = 0, -4*u + 4*g + g = -10. Let x(d) = 13*d - 56. Let c be x(u). Is 4 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 224816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*w - 262*w + 1057*w - 17*w**2 - 273*w - 272*w.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlpeeemlmmllepu. What is prob of picking 2 p, 1 l, and 1 m?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 11*s + 30 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4035, -7746, -11457, -15168, -18879, -22590?\n\"Answer: -3711*u - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(-5*q**2 - 324 + 3*q + 330 + q**3 + 9*q**3) - 5*q**3 + 2*q**3 + 2*q**3.\nAnswer: 29*q**3 - 15*q**2 + 9*q + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20043\/49518)\/((-3)\/18)?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*d**3 + 1)*(-23*d**2 + 41*d**2 - 24*d**2).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/207*(-2 + 38\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914180052.\nAnswer: 2, 37, 167, 77447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8 = -7*u + 2*u, 0 = u + w - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12210*q**2 - 6057*q**2 - 6137*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 8*t - 24 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1246*l**4 + 127*l**3 - 20198562*l**2 wrt l.\nAnswer: -29904*l + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16666442 (base 7) to base 8\nAnswer: 6220571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31052 (base 8) to base 2.\nAnswer: 11001000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 6. Let r be ((-260)\/k)\/(12\/18). Suppose 3*d - 4 = -4*x + r, -9 = -3*x. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + -7 - 0) + 19. Find the second derivative of -k - 34*w - 36*w + 69*w - 43*w**2 wrt w.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/660 - i**5\/330 + i**4\/33 + 4*i**3\/33 - i**2. Find x such that h(x) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p - 1. Let q(d) = 6*d**2 + 4*d + 1. Let j(m) = -5*o(m) - q(m). Let s be j(-10). List the prime factors of (s\/(-4))\/((-7)\/(-28)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11608 and 112243556.\nAnswer: 5804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -54. Suppose 0*q + 5*q - 35 = 0. Solve -b*u = -q*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*x + 32*x - 8. What are the prime factors of (x + 9)\/((-1)\/(-5))?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*b + 2*v, -4*v = -4*b - 12 + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-20))\/(6*(-14)\/56).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/86? (a) 1\/5 (b) 4\/3 (c) -1.2 (d) 2\/11 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 3 - v)*(2*v - 2*v - 4*v**3) to k*v**2 + q*v + u + g*v**3 + a*v**4 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozzznzoevnnnvnoonn. Give prob of sequence ezzn.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -0.038, -4\/5, -3\/5 in increasing order.\nAnswer: -2, -4\/5, -3\/5, -0.038, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-4 - 4 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 27 = 5*m, 4*m - 3*m + 18 = 2*i. What is the remainder when 32 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28227406 and 28227404 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*j + 6 = 0, -4*h + 190 - 182 = 4*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32, -3, -38, -73, -108?\n\"Answer: -35*p + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eojfceeoajeef. Give prob of picking 1 j and 1 a.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22221100 + 1?\nAnswer: -22221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -272 + 268. What is the third smallest value in 0.5, p, -1.42?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 12 = -4*m, -28 = -g - 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-14 + 25 + -21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 18*v**2 + 38*v + 16. Calculate j(20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1792 + -417. What is the greatest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 118. Let a be f(-41). Let j(l) = -l**3 - l**2 + l + 1. Let v(g) = 4*g**3 + 4*g**2 - 5*g - 5. Calculate a*j(y) + v(y).\nAnswer: -y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = 4*s. Suppose -t + 5 = -0. Let u be (t + s)*(1 - 2). Which is smaller: u or 1\/22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 313589*k. Let q(j) = -8*j**2 + 7*j. What is z(q(w))?\nAnswer: -2508712*w**2 + 2195123*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 327789983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 2, g: 2, p: 4}. What is prob of picking 1 p and 1 f?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3743452, 7486893, 11230334, 14973775, 18717216, 22460657?\n\"Answer: 3743441*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/240 - a**4\/24 - 12*a**2 - 1. Find f, given that w(f) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7278 by 403.\nAnswer: -7278\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b = 14*b + 220 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 2 + 2 - 3 + 3 + (-1 - 1 + 0)*(2 + 5 - 4))*(0*z + 2*z + 0*z) + (-7*z + 0*z + 3*z)*(9 + 3 + 3).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 49.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220 (base 3) to base 6.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 221217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 67*o - 57*o - 1 + 1. Let v(i) = -2*i**2. What is v(p(f))?\nAnswer: -200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 922133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1057 * -0.05\nAnswer: -52.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 434 = 2*k + v, -4*v - 712 = -5*k. Let a = k + -84. Suppose -u - 4*o = 4*u - a, -4*u = 3*o - 47. Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 2031?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:47 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + (-7 - -1 - -12) - -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3697395.\nAnswer: 3, 5, 13, 67, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkvvkvzkzkkz. What is prob of picking 1 f, 2 z, and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11101311320 (base 4) to base 14\nAnswer: -28042c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -236*m**3 + m**2 + 2*m + 4. Let r be l(-2). Let a = r - -116. What are the prime factors of a?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(28\/(-5)))\/(((-1740)\/(-8))\/(-87))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 2582*m - 25845\/2.\nAnswer: (m - 5169)*(m + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.937 - -0.063. Let n = 0.3 + 0. What is the biggest value in n, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 5*n**2 - 87*n - 623. Give q(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14158408 and 13684.6.\nAnswer: -14144723.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/4 + 6471*r**3\/4 - 2386649*r**2 + 4766829*r = 0. What is r?\nAnswer: 0, 2, 2271, 4198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13896458 and -0.03.\nAnswer: -416893.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3 + 4295642*k**2 + 34365040*k + 68730016 = 0.\nAnswer: -2147813, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3. Let u be 1*-1 - (-6 - -4). Let a(o) = 2*o + 3 + u - 4 + o**2. What is a(w) + 2*v(w)?\nAnswer: -2*w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0325 and 0.016.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 8:08 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*((c*c*c**(-7)*c)\/c)\/c*c*c)\/c**(-4))**5*(c\/c**(-1\/2)*c)**(-7)\/((c*c**(-1\/5)*c)\/(c*c*c*c**(-4\/3))) assuming c is positive.\nAnswer: c**(-229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -211*o - 249. Does 26 divide s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -2, 5 in decreasing order.\nAnswer: 40, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 6*i**2 - i**2. Let f(c) = -c**2 + 5*c**2 - 7*c**2. Determine f(a(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/945 and 26\/58743.\nAnswer: 6168015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8322 - 8306. What is the remainder when 25 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 4, -0.5, -7\/29?\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 66, 114, 174, 246, 330, 426?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9566846, -19133691, -28700536, -38267381, -47834226?\nAnswer: -57401071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -15. Suppose 9*k - 3407 + 25474 = x*b, k = 3*b - 13249. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -22.6. Let s = -11227047.60000016 - -11227046. Let j = s - a. Round j to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 + -97. Let o be (8 + -38)*(2\/6 - 1). Solve o = -s*d + 17*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/6, 0.16, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1074672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5*i + 5, -285*i + 281*i - 3*f = 31 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23443411 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238884569.\nAnswer: 7, 11, 59, 52583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 6 = 2*r, 192 - 98 = 2*m + 100 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -838, -1257, -1674, -2089, -2502, -2913?\nAnswer: -3322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*g + 8, 3*g + 8037 = -3*p. Is 10 a factor of (p\/(-12))\/(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - 8*i)*(-3 + 0 + 4) + 1 - 1 + 2*i - i + 8*i - 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -215*z**2 - 2*z. Let x(b) be the third derivative of 29*b**4\/24 - 7012*b**2. Calculate p(x(o)).\nAnswer: -180815*o**2 - 58*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 24 = 4, 3*c = -2*m + 106. Suppose 0 = -5*l - 5*t + 60, -4*t = 3*l - m + 21. Let y = 68 - 41. What is the remainder when y is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 6:53 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 464 = -38*o. Solve -479*f + 482*f = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-12) - 9\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 11:51 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + 168a5?\nAnswer: 16891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 536446051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*d - 2, 371 - 359 = p + 7*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4263 (base 7) to base 4.\nAnswer: -113223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/99 and -50\/3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 11 - 10)*(-7 + 2). Suppose -5*x = -n*s + 70, 5*s = -0*s - 3*x + 94. Solve 4*p + s = 5*q, 3*q + 2*p = 2*q + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 - -13?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 7, -1, 23.36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4\/3, -13.2, 0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 82692 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 11:15 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 1\/(-1)*4. Let f = -2.69 - 0.31. What is the nearest to -1 in 2\/9, d, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 28.4. Let z be (-1589)\/(-454) + (-50)\/12. Which is the third biggest value? (a) g (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - c + 6 = 0, y + y = -3*c + 2. Suppose -y*u + 3*s + 4 = -4, -2*u = -s - 4. Suppose 0*x**4 - x - u*x**4 + x**5 + 4*x**4 - 2*x**2 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 31500. What is l rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -0.4 (b) 0 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 + -15125?\nAnswer: -15315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -9, -21, -37, -57?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -347004762*y + 167755512.\nAnswer: -347004762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43736892 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9429.\nAnswer: 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/30 and -29\/937449.\nAnswer: 9374490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 2*r - 3. Let h be (-4)\/(-2) + (3 - 1). Let g = 110366 - 110360. Calculate the remainder when g is divided by d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 18*d - 644. Give s(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2318 + 2314. Put 0.31, -0.4, f in decreasing order.\nAnswer: 0.31, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 440 - 146. Let b be k\/196*142\/3. Solve -5*d + b = 91 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w**2 - 20*w - 36. Let k be s(-2). Is -27 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390068894, 390068893, 390068890, 390068885?\nAnswer: 390068878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4408 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/12 + 5*h**3\/3 - 3*h**2 + 26*h - 1. Let k be y(1). Solve k*p + v = -12, 4*v + 12 = p - v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2466*o + 2349*o - 3285*o + 5 + 4 in the form l*o + x and give l.\nAnswer: 1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**5 - 528*g**4 - 11136*g**3 - 85504*g**2 - 279552*g - 331776 = 0.\nAnswer: -108, -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078 = 9*h + 1015 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Which is the second biggest value? (a) 5 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 8*q - 25. Determine d(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 4*l - 3. Let c(o) = -o**2 + 17*o - 11. Let b be c(16). Let z(a) = 8*a**2 - 4*a - 3. Let k(h) = b*r(h) - 4*z(h). Determine k(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a + 4*a + 5*a. Let s(h) = 4*h - 6. Give c(s(f)).\nAnswer: 8*f - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6 - 30*n**2 - 8 as s*n + q*n**2 + p and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -2*r**4\/3 - 3*r. Let z(g) = 10*g**2 - 11*g**2 - 12*g**2 + 17*g**2. Calculate z(u(b)).\nAnswer: 256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1188)\/(-55))\/18*-5*36\/24.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 m when four letters picked without replacement from {m: 8, t: 9, d: 1, o: 1}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4122 by 2.\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 155 + 6*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*p - 96*p - 76*p + 305 wrt p.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 21. Find the first derivative of -5 - 9*d - 4 + 10 - g wrt d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 4 - (-184)\/18. Factor -98\/9*i**2 - 8\/9 - o*i.\nAnswer: -2*(7*i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-18))\/(((-60)\/265)\/4))\/((-35)\/70)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 70. Let c = -0.1 - -0.1. Sort 1, c, a in ascending order.\nAnswer: a, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432 + -2040013124?\nAnswer: -2040012142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 3139*v**3 - 13434340 + 13434339 - 3*v in the form g + s*v**3 + x*v**2 + f*v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2*x + 2. Suppose 2 + 4 = 2*q. Suppose -y + q = -0. Calculate t(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1568*c**2 - 3 - 1563*c**2 + 3130*c**2 + 9*c**3 - 3 + 3 - 2*c**3 + (0*c + c + 0*c)*(-c**2 + 5 - 5) in the form l*c**2 + x + d*c**3 + k*c and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1\/6, -2\/5, -28, 111, -4\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10511 * -12.\nAnswer: 1.26132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1)\/(2 - 1). Let d = y + 6. Suppose -d*s = -3*s - 4. Solve 4*w + 24 = 3*g, -w - s = 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 10*t**2 - 8*t - 21. Calculate z(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 5*k - 4. Let h be d(6). Suppose 0 = h*b - 3*b + 2. Let r(y) = y**2 + y - 1. Let i be r(-3). Solve -4*f - n = -6*n, -b*f = -i*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 3*h**2 - 7*h. Let d be f(-3). What is the highest common divisor of d and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**4 + 10163*c**3 + 38368*c + 2 wrt c.\nAnswer: 48*c**2 + 60978*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -42, 189 in decreasing order.\nAnswer: 189, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -5*z**2\/2 + 4. Let q(c) = 3*c**2. Determine q(n(i)).\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffecccc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -3*s + 4*r, -3*s - 2*r + 30 + 340 = 0. Let n = s + -111. Solve a = -4*j - 16, n + 6 = -5*j - 2*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1714 + -1713. Sort -4, h, -9, -5 in ascending order.\nAnswer: -9, -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 6 + 4*l - 8*l**3 - 5 - 3*l**2. Is p(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 40*s - 385. Let l be t(7). Let n(m) = m**2 + 3*m - 3. Let k(w) = w - 1. Let r(d) = 3*k(d) + n(d). What is r(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnynipngnnngiwgg. What is prob of sequence wiy?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*f - 103*f + 1919 - 2*f**3 + 0*f**3 in the form h + s*f + w*f**3 + a*f**2 and give h.\nAnswer: 1919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -19570\/1699?\nAnswer: -19570\/1699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h - 2*g - 100 = 0, 0 = 5*h + 3*g + 165. Let b = h - -33. Solve -b*f - 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 0, 2, 6?\n\"Answer: b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 2*y + 4*y)*(-110 + 110 + 62*y)*(2*y**2 + 3*y**2 - 3*y**2) in the form z*y**4 + b*y**3 + t*y + c + h*y**2 and give z.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8852616 decades?\nAnswer: 0.008852616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325.49 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7845\/19 + -413. Let v = 1 + 7. Let o = v + -10. Which is the biggest value? (a) -0.1 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35416*b**3 + 2*b**2 - 3*b + 5568 wrt b.\nAnswer: -212496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9452 and -35?\nAnswer: 9487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.035358 to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0 - 3*g + 0. Suppose 0*a - u = -5*a + 19, 0 = a + 3*u + 9. Let b(y) = y. Let h(d) = 2*d. Let x(f) = a*b(f) - 2*h(f). Calculate w(x(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -15*i - 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -747963\/4 and -186992 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1854*h**2 + h**3 - 3*h**3 - 1490*h**2.\nAnswer: -2*h**3 + 364*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/((-2)\/30). Let x = 41 + m. Suppose -9*b + 3 = -8*b. Calculate the greatest common divisor of x and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-49))\/(364\/(-14651))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -59003.853 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39901 and 5.89.\nAnswer: -39895.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -591 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11506081079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/1442376 and -64\/3065049.\nAnswer: 24520392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14522\/681 + -2\/227. Suppose 4*l = -3*o - 0*l - 79, 2*l = -8. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1149 + 1149 - 4*q. Let h(u) = 2*u**2. What is c(h(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 260\/45 - 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4))**(-2\/87)*(h*h*h*h\/h**(-14)*h)\/h*h*h**(-13))**(-1\/9) assuming h is positive.\nAnswer: h**(-530\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10357 - -10357.01. Suppose -2*w - 2 = 4*t, 8 = 4*w - 4*t - 0. Which is the closest to 1? (a) w (b) r (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 2. Suppose 12 = -2*r + 10. Calculate g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794409399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3 = 5*u. Suppose -s + u*p = 15, 3*s + 52 = p + p. What is the units digit of (4\/(-6))\/(4\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.33, 5, -0.4, -0.5, 53 in ascending order.\nAnswer: -0.5, -0.4, -0.33, 1, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -8) + (-14 - (-3 - 20) - -5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -44, -74, -116, -176, -260, -374, -524?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 7:57 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2\/1739421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -a + 16237. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005244 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z**2 - 4*z - 3 + 2*z**2 - 6*z**2. Let x be p(5). Let l be (x + 3)\/(-6 + 5). Is -3 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snx when three letters picked without replacement from nsxxnxxssxxnsss.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 3*u**2 - 1 - 4*u**2. What is d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 5 + 1. Let h = o - -17. Calculate the least common multiple of 34 and h.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2426 and 7453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k + 157 = 2*f, 4*k = -2*f + 206. Let q(n) = -104*n + k*n + 56*n. Let d(v) = v**2 - 23*v**2 - v**2. Determine q(d(h)).\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -175 - -179. Find the third derivative of -33*x**2 - 10*x**3 - 39*x**2 + 10*x**3 + 30*x**u wrt x.\nAnswer: 720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*s + 156, -2*h - 3*s - 56 = -3*h. Let u = h + -56. Let a be 2 + u + (95 - 5 - 5). Calculate the greatest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 - 168 = -3*f. Differentiate f*h - 137*h + 7 - h**3 wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122.82*-5.\nAnswer: -614.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*o**2 + 805*o**2 + 255*o**2 + (-3*o + 3*o - 4*o)*(o - 6*o + 4*o) as h*o + g*o**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6540 and (51 + 16)\/(-11 - 4)?\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.82 + 1.18. Sort 1, -2, p.\nAnswer: -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3\/38.\nAnswer: -3\/38, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -3.5. Let b be ((-45)\/6)\/((-4)\/8). Suppose f = 2*o + 2*f - 9, -2*o = 3*f - b. What is the nearest to i in o, 0, 6\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073336555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21756158 to the nearest integer?\nAnswer: 4664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -67?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 11854016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1623 - -33.303697\nAnswer: -1589.696303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26.6 in 0.373, -8, -2\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 230\/18 - (-5 + 129\/27). Suppose -323 = -d*q + 54. Calculate the lowest common multiple of 9 and q.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 39*a - 69. Let u be m(-37). Suppose 3*n + 10 + 5 = i, -2*i + 2*n = -14. Solve -6*o = -o + 5*c - u, -i*o + 5*c = -35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 821 divided by -1\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21025*n - 13546*n - 12536*n.\nAnswer: -5057*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 4*h**2)*(0 + 2 - 3) + 5*h**2 + 1 - 1.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 57. Let v(w) = -w - 3. Let n be v(t). Solve 5*f - 4*b - 8 = 0, 3*f + 0*f + 6 = -n*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 10*w**2 + 3*w - 25. What is d(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-16) + 4162725\/280 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 - 0.1. Let z = -0.2 + 1.2. Let i be 3*8\/72 - 38\/60. What is the smallest value in i, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3840 and 4352.\nAnswer: 65280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*y + 1 = 3, -3*y = 4*u - 5. Let h be 15*(u\/5 - 0). Suppose h = 3*p - 0. Sort 3, 4, p in ascending order.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*n = -93, 4*t + 5*n + 124 = -0*n. Let y = t - -163. Let v(d) = -3*d - 12. Let z be v(-8). What is the greatest common factor of z and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(192))*3 + sqrt(192) + -1)**2.\nAnswer: 64*sqrt(3) + 3073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, -1.31, -3, 3, 11\/14?\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2626298?\nAnswer: 2, 29, 45281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 22\/(-6) - (-427)\/(-3). Find the common denominator of 91\/20 and (x\/(-5))\/((-516)\/(-15)).\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -5503 (c) 6.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76 + 21?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 minus 0.391?\nAnswer: -49.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y + 1 + 1)*(-1 - 1 + 3).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13774 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 5. List the prime factors of r(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5580)\/4340)\/(60\/14) - 887\/10\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q**2 + q**2 + 0*q**2)*(1 - 1 - 2*q) - 3 + 3 + 2*q**3)*(-3*q + 0*q + 2*q).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 4*l. Let a be 24\/6 + 84 + l. Suppose 3*m + 4*y = a, -y = 4*m + m - 154. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*t + 124*t + 152*t - 16575 = 33*t for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 25. Let s be 1503*f*(-3)\/(-9). Let t = s - 357. Is t a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frisi. What is prob of sequence rsif?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*t = 83*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522 is divided by 263?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 3*z - 2*z + z**2 + 3. Let f be h(-4). Calculate the greatest common factor of f and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 26. Suppose 1115 = -3*j + 4*j + s*p, -5*j - 3*p + 5599 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23178 - -23180. Solve 0*l + 9\/5 - 1\/5*l**z = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 + 104. Let u be 2\/9 - 86\/a. Solve 15 = -0*m + u*m + b, 5*b - 17 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/13)*x)\/((x**(1\/6)*x)\/x) assuming x is positive.\nAnswer: x**(47\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/55 and 36\/35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 219 in -628, -2\/25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (-2 + 0 + 16 + -806 + 800).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/30 + w**4\/3 - w**3\/3 + 551*w**2 + 2*w + 43. Find the second derivative of n(p) wrt p.\nAnswer: 12*p**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24542, 49059, 73576, 98093?\n\"Answer: 24517*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -120*m + 101. Let r be d(7). Let u = -230 - r. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**4\/6 + d. Let g(a) = 2*a. Let w(b) = -b. Let n(m) = -g(m) + 2*w(m). Calculate s(n(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*u - 211*u = -374*u + 264 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516 divided by -5817.\nAnswer: -172\/1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4559 - -4556. Suppose 2*s + 0*s = 8. Put -13, c, s, -5 in decreasing order.\nAnswer: s, c, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1586*b + 3170*b - 1581*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/55, -11\/2, -0.2, 3, -53.\nAnswer: -53, -11\/2, -0.2, 14\/55, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 12:58 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 926 (base 12) in base 15?\nAnswer: 5d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -5, -1, 5, 3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -3 (b) 0 (c) 0.07 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -154*m**3 - 29*m**2 - 100*m + 44. Is n(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - n = -14, 2*z + 4*n + n - 28 = 0. Suppose -z*t + 16*t = 42. Solve -s - 3*y - t = s, -4*s - 17 = y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -m + 7, -3*m + 5 = -2*m + w. Let x = m - 10. Is 22\/(-8)*x*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4350 by 725.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/(-26))\/(3\/10). Solve h*s + 0*s - 36 = -4*l, 3*s + 4 = 4*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 3, -89\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6282151186 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 664217415?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*c - 2*c + 114, 4*s - 2*c + 222 = 0. What is s rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*273\/(-42)*(-42)\/819.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3031 + 0.0969. Let c = -0.3 - -0.2. Let n = 4\/9 - -1\/18. What is the nearest to c in n, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = y - 4*y. Let i = y + 6. Suppose 3*c - 30 = -i*c. Solve -c = 2*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 321484*a - 321480*a + 3*d + 13, 0 = a + d + 2 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 46 (b) 3 (c) -0.07 (d) 41\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646\/(-323)*(-3)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (11 - 3) - 10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-312)\/572 + (-340)\/(-583)). What is the third smallest value in c, -0.4, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 + 344649*v**2\/2 + 2757195*v\/8 + 689299\/4.\nAnswer: -(v - 1378598)*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-222701.\nAnswer: 4454020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 5*m**2 - m. Let w be 140\/25 - 2\/(-5). Let v be p(w). What is the units digit of 72\/7 + 12\/v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7*h + 8 = 0. Suppose -128 = -2*z - h*l, -179 = -5*z - 5*l + 136. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493185 and 787479.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 + 0.4. What is the closest to -2 in -4, 2\/7, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(192) - sqrt(12)) + sqrt(44) + -5.\nAnswer: -5 + 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -34 - (32 + (11 - 38))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 at most -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-124 + 21 + (5 - 1)) - (1 - -4)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 8:53 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 8484918475*x - 7*x**2 - 8484918475*x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Let o be 18 + (-2 - y\/(-1)). Suppose 2*s - 7*l + 8*l = 2, -5*s = 3*l - 3. Sort o, 5, s.\nAnswer: s, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 2*j**2 + j + 27. Let r be k(0). Suppose -r*p = -23*p - 176. Calculate the remainder when 86 is divided by p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/63 + 29\/63. Let a = 0.019217 - -50.980783. Do k and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3. Let c = 0.64085 - 0.24085. What is the fourth biggest value in -5, c, 5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18144, 36279, 54410, 72537, 90660, 108779, 126894?\nAnswer: 145005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1. Let n be s(-1). Suppose 13 = -3*r - n. Let t(j) = j**3 + 4*j**2 - 3*j + 6. Give t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 2. Let l be u(2). Let k = l + -4. Let v be 1\/k - (-46)\/4. Calculate the greatest common divisor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261.3 - 275. Let p = u + 14. Put p, -0.4, 6\/5, 2\/17 in ascending order.\nAnswer: -0.4, 2\/17, p, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89 in -5, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2160*f + 254. Is u(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1331) + -3*-5*sqrt(1331))**2*-3.\nAnswer: 3066624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - t = 25, 15 = -4*t + t. List the prime factors of 1524\/30 + (-1)\/w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 175, 341, 507?\n\"Answer: 166*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81837, -81839, -81841, -81843, -81845?\nAnswer: -81847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - (-242)\/(-99)*15. Which is greater: -4 or r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1866*l - 619*l + 36 - 621*l - 627*l - 36.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3321 and 368262.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/3 + 12\/18. Let w(z) = z**2 - 3*z. Let p(g) = 2*g. Let s(j) = x*w(j) - 3*p(j). Let d(t) = -2*t. Give d(s(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 41*z + 247. Let d be x(-6). Let t(c) = c**3. Let k(f) = -4*f**3 + 18*f**2 - 2*f. Determine d*k(m) + 2*t(m).\nAnswer: -2*m**3 + 18*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(19 + -19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - 180\/(-40)*-12*6\/(-126)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, -1, 8 in decreasing order.\nAnswer: 13, 8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 136 = -5*f. Sort -4, -5, 5, f in ascending order.\nAnswer: -5, -4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1752 - -6891. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p + 4. Let l(m) = -7*m - 2. Let c(v) = -5*l(v) - 2*y(v). Let q(u) = -2*u + 7. Let o be q(4). Determine c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-139*s - 5*s + s)*(5*s**3 + 3*s**3 - 3*s**3) to g*s**4 + r*s**2 + v*s + h + q*s**3 and give g.\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9757 = 145*c + 13962 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 - 5)*(6 - 10 - 18301*b + 18340*b).\nAnswer: 39*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 923 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-161)\/(13041\/(-324))*4\/(-1104).\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1334442, -1334423, -1334392, -1334349, -1334294, -1334227, -1334148?\n\"Answer: 6*o**2 + o - 1334449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 412 - 278. Let l = 16885 + -67007\/4. Let g = r - l. What is the nearest to 0 in -0.1, 1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y*y**(-1\/2))\/(y**0)**(-47))\/(y**0*(y**(2\/15)*y*y)\/y*y**(2\/5)\/(y*y*y\/(y\/(y*(y**(2\/9)*y)\/y)))) assuming y is positive.\nAnswer: y**(737\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21670, -22420, -23170, -23920, -24670, -25420?\n\"Answer: -750*q - 20920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 - 13 + 3*u**3 + 5*u**3 + 30*u - 10*u**3 - 10 in the form j + z*u**2 + a*u**3 + w*u + k*u**4 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-24))**(18\/5)*(a\/a**(-24))\/a**(1\/11) assuming a is positive.\nAnswer: a**(-3382\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.3, 1\/5, 107, 59.\nAnswer: 1\/5, 18.3, 59, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3\/7, 41, 40, 3\/65, 5 in decreasing order.\nAnswer: 41, 40, 10, 5, 3\/7, 3\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8910 + 24.67366441\nAnswer: -8885.32633559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6103*d - 18330. Determine k(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7303406*m**2*q - 2*m**2 + 52541*q wrt m.\nAnswer: 14606812*m*q - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, -1\/4, -0.3, -44, 3\/8?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:15 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004355763382 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -cac64 (base 16) in base 14?\nAnswer: -178980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -177, -331, -569, -915, -1393, -2027?\nAnswer: -2841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 37. Let r(z) = -13. Let t(a) = 6*j(a) + 17*r(a). Let f(y) = -2*y - 7. Let b be (3\/(-6))\/(3\/(-6)). What is b*f(l) + 5*t(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*l - 7 - 63*l - 18*l to the form s + x*l and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4441, 27, 10, 1\/7, -3.\nAnswer: -4441, -3, 1\/7, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 622 (base 14) to base 3\nAnswer: 1122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.0822 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 17. Let f(y) = y**3 + 61*y**2 + 152*y + 2010. Calculate the remainder when m is divided by f(-59).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0*i**2 - 7*i**2)*(-2*i**3 + i**3 + 2*i**3) - 28*i**3 + 28*i**3 + 5*i**5 + (-6*i**2 + 3*i**2 + 4*i**2)*(-4*i**3 - 2*i**2 + 2*i**2).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/1079 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*t + 146*t + 72 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 710, 4 in increasing order.\nAnswer: -7, 4, 710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (6*(sqrt(68) + 0 + 4) + -4 + 2 + sqrt(68) + 2)**2 + 4.\nAnswer: 672*sqrt(17) + 3911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.261 - 0.2610305. What is t rounded to 6 decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + 6*w + 4. Let m(t) = -7*t**2 + 10*t + 9. Let o(d) = 6*m(d) - 10*n(d). Let z(h) = 6*h**2. What is o(z(i))?\nAnswer: -72*i**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46.919 in 0.5, -1, 2\/23, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 279676 smaller than 280952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 11833?\nAnswer: 1277964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 - 1406415*a = 0.\nAnswer: -468805, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9747 + 9746.981436. What is c rounded to four decimal places?\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 141 + 39 = 0. What is the remainder when i is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70788, 283084, 636910, 1132266, 1769152, 2547568, 3467514?\n\"Answer: 70765*o**2 + o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 1. Let d(g) = 49*g**3 - 7*g + 2. Let z(y) = d(y) + 3*x(y). What is the second derivative of z(c) wrt c?\nAnswer: 294*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 60*l - 26 = 42 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 4 + 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13503 + 11364 - 3431 - 1522 + 6444)*(-2*a + 1 - 1).\nAnswer: -52716*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 699240629 to the power of 1\/3, to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3*7\/7*1\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1054 divide 79715084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, 2\/25, 45\/2, 2\/9?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (620\/496)\/(0 - 1\/(-12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 16, z: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 4, g: 2, r: 2, p: 4, s: 1}. What is prob of picking 1 g and 2 r?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.5. Which is the nearest to -2\/5? (a) -3 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*s + 9540012 = 0, 1410882 = -5*c + 2*s + 17310890. What is c rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1591*g**6 + 887*g**2 - g wrt g.\nAnswer: -190920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*d + 8286 - 8289, 2*d - 7*d + 5 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11852, 23708, 35564, 47420?\nAnswer: 59276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1573.48 - 1534. Let z = 39 - u. Let g = z - -0.28. Does g = 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9961, -9963, -9965, -9967, -9969?\n\"Answer: -2*l - 9959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 809\/171 + -16\/19. Let v = l + -209\/63. Suppose -3*u + p + p = -10, -2*u + 2*p + 6 = 0. Sort u, v, 0.1.\nAnswer: 0.1, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 7, v: 4}. What is prob of sequence bvd?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -516 (c) -0.4 (d) 42 (e) -1\/4 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -770*f**3 - 658*f wrt f.\nAnswer: -4620*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.49 + 169.51. Which is the smallest value? (a) 1 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82299740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 4949 - -40284. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -23, -16, -9, -2?\n\"Answer: 7*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 486\/(-126) + 1\/(-7)*1. Let c(w) = -13*w - 50. Let m be c(x). Differentiate 28 - 12*u**2 + 8*u**m + 9*u**2 with respect to u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, j: 5}. Give prob of picking 2 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/20*(-8)\/(-10)*2*75\/(-1000).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:54 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 13*g - 1666. Let p be 1\/((-1)\/(-2)) + 85. Suppose 5*m - 120 = -4*j, 4*j - 2*m - 33 = p. Calculate the remainder when g is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 163*w + 23. Calculate the least common multiple of b(3) and 14.\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - 7*c + 7. Let v(z) = -2*z**2 + 4*z - 4. Let d(f) = 4*u(f) + 7*v(f). Let g be d(-1). Suppose -360 = -b - g*b. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 14*o - 4. Calculate the least common multiple of u(12) and 216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 9:32 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 16*q + 20 = 0, -2*l - 2*q + 126 = 118 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/5, -74, 4, 7\/57.\nAnswer: -74, -4, 7\/57, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678.6418 kilometers to meters.\nAnswer: 678641.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2696)\/674*((-2)\/13)\/(-2)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/(-182) - (-427)\/147 - 6\/2\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvbvfbsvftf. Give prob of sequence fft.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. Let u be (-1000)\/(-45) + 2\/(-9). Let j(r) = 41*r + r**2 - 19*r - u*r. Give l(j(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 33, 2\/15, 14 in descending order.\nAnswer: 33, 14, 2\/15, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/1)\/((-15)\/(-40)). Let r(p) = -p**3 + 8*p**2 + 76. Is r(q) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8690, -34688, -78018, -138680, -216674, -312000, -424658?\nAnswer: -554648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14*i**2. Let l(m) be the third derivative of m**4\/6 + 2*m**2. Determine q(l(t)).\nAnswer: 224*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t**2 + t - 2 + 0 - 6 + 2 - t**3. Let m be w(10). List the prime factors of 150\/m - 3\/(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2))\/1 + 15. Suppose 2*g - 6 = -q + 3*q, 3*g - 4*q - 10 = 0. Suppose -3*s = -g*s - 7*s. Solve -z = -3*t + m, -3*z - 4*t - t + 28 = s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 3, 0.0391 in descending order.\nAnswer: 3, 0.0391, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*z + 6 = 0, 80*z - 79*z = 3*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (5*-1*sqrt(130) - sqrt(130)))\/(sqrt(50)\/(sqrt(5)*2)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -531 and -0.2.\nAnswer: 106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.2 + 12.2. What is the biggest value in -4, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 115772, 3 in ascending order.\nAnswer: 1, 3, 13, 115772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (-6 - (-14 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q + 0 + 0*q**3 - 1\/6*q**4 + 15*q**2. Let i(w) = 4*w**2. Calculate i(u(m)).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27763914 to the power of 1\/2, to the nearest integer?\nAnswer: 5269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:56 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a century?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/5 (b) 0.2 (c) -2\/9 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 12*w**2 + 14*w - 5. Let v be m(-11). Let q = v - -42. Suppose q*s - 199 - 3309 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160.32 - -32.32. What is the closest to u in 0.5, -1, 5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8)*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -9. Suppose -4*o = -9 - q. Calculate the remainder when (5\/(-2))\/(3\/(-18)) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - 1 - (1793 - 1750).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l = -55*l - 88*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q + q**2 - 14*q + q**2 + 4. Let b be (3 - -1) + -2 + 5. Does 10 divide v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1.69?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91, 226, 495, 964, 1699?\n\"Answer: 11*s**3 + s**2 + 55*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.12 - 0.88. Let y = 40.000176 + l. What is y rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, n: 9}. Give prob of picking 4 b.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -14*q - 1. Let o be u(5). Let y = -58 + 38. Let w = y - o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -1\/2 (c) 0 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*20.3.\nAnswer: -40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 - 34*o**2 - 24*o + 23. Is s(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1168)\/(-40) + (-114)\/570 is divided by (-8)\/((2*-1)\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 1 - -4 - 23\/23. Sort 5, 0, -1, o.\nAnswer: -1, 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 plus -0.07826811637?\nAnswer: -32.07826811637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 9*d + 15. Let a be g(14). Let p = -44 - 5. Let h = p - a. Calculate the greatest common factor of 54 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/4, -7, 4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1587 = 3*p, 5*p = -131*a + 132*a + 2621. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(17) + 1)**2 + sqrt(17)*2*-5 - (0 + (-1*sqrt(425) - sqrt(425)))) + 0.\nAnswer: 8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -234*y + 59*y - 39*y + 642 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -122, -135, -148, -161, -174, -187?\n\"Answer: -13*d - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-4))\/(15\/(-20)). Sort -0.1, w, -6.\nAnswer: -6, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1214767, 2429489, 3644211, 4858933, 6073655, 7288377?\nAnswer: 8503099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 480 = 4*p. Let s = p + -1. Let d be s*(0 + -3 + (-710)\/(-6)). What is d rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 102\/(-42) - (-4)\/(-7). Let k(t) = t**3 + 4*t**2 - 2. Give k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 9.93.\nAnswer: 13.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**2 - 2*c**2 - 2*c + 3*c**2 - c**3 + 2*c**2 - 2 in the form f*c + i + w*c**2 + b*c**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -58376?\nAnswer: -58376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*d = -2*d + 48, 36 = -4*m - 4*d. Calculate the common denominator of 11\/27 and 23\/(-5)*m\/(-42).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(2\/(-10)))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -92.\nAnswer: -92.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**3 - 19*p**2 - 9*p + 20. Let c(q) = 25*q**3 - 40*q**2 - 18*q + 42. Let v(h) = 9*a(h) - 4*c(h). Calculate v(-9).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*t = 3*i - 71*t + 4, -i = -3*t + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 0.128\nAnswer: -0.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i - 17. Suppose 3*k + 0*s - 4 = s, 2*k + s = 1. Let g(f) = -f**2 - f + 4. Let x(o) = k*g(o) - 2*c(o). Determine x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 73*n**2 + 3921*n + 139911. Calculate z(-36).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3260, -4 in descending order.\nAnswer: -4, -5, -3260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 14 + 38 = 2*i, -4*i - j + 4 = 0. Suppose i*t + t - 2118 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 2*q + 21*q + (1 - 3 + 0)*(-q - 6*q + 3*q))*(-3 + 4 + 0).\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let m(l) = -15*l**2 - 29*l - 5. Suppose -106*r + 101*r = -15. Let x(s) = -8*s**2 - 14*s - 3. Let y(v) = r*m(v) - 5*x(v). Give j(y(k)).\nAnswer: -5*k**2 - 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 + m - 6. Let i be s(6). Suppose z + 2*z + 3 = i. Let g = 0.153 - 0.053. What is the nearest to g in -3, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175610845.\nAnswer: 5, 59, 595291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, d: 3, h: 7, b: 2, a: 1}. What is prob of sequence rrh?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h - 6. Let y be q(-3). Solve y*k - 2 = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 50*q - 371. Let g be r(10). Suppose 28896 = g*k - 113*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*h, -5*h + 10 - 1 = -a. Suppose -30 = h*y - 4*j, -y - 3*j - 10 = -0*y. What is the remainder when 37 is divided by (3 - 4)\/1*y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - 5*n + 35, -3*q + 49 = n. Let y = 2 + 2. Suppose t = -y*t + q. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m + 16. Let u(p) = -5*p + 8. Let y(b) = 2*u(b) - z(b). Let n(h) = 5557*h**2. Calculate y(n(d)).\nAnswer: -5557*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 6 - (-3 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5162 + 5158. Which is the smallest value? (a) 0.08 (b) -0.2 (c) 6\/23 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j + 47. Let r be n(-6). Let g = -9.3 - -9.3. Which is the closest to g? (a) 0.5 (b) 0 (c) r (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**6\/120 + o**5\/60 - o**4\/12 + o**2\/2 - 2*o. Let x(r) be the first derivative of y(r). Does 8 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 - (-9)\/(-6))\/(30\/(-9840))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4 + 16. Suppose 0*n - p*n + 415 = 0. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by -5348529?\nAnswer: -194\/5348529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 205241 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-15)\/(-10) + -1). Solve -3*r + 5*x - 19 = 0, -34 = -3*r - 5*x - k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/2, -12581, 0, 3\/5 in descending order.\nAnswer: 3\/5, 1\/2, 0, -2\/5, -12581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let s = 231 - 688\/3. Put o, s, 3 in increasing order.\nAnswer: o, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 9*q + 3. Calculate k(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338438 divided by 446146?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(h + 2 + 2 - 2).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11941 + 11952 - (2 + (-2 - (-24 + 0)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**5 + 7746*n**3 - 2*n**2 - 102956*n wrt n?\nAnswer: -240*n**2 + 46476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162 (base 10) to base 3.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 1. Let w be a(-1). Let l(q) = q**2 + 4*q + 2. Let g be l(w). Find the second derivative of x + g*x**5 + x - 5*x wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 7*k**4\/3 + 36*k**3 - 1159*k**2\/3 - 5996*k - 2496 = 0.\nAnswer: -16, -12, -3\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/150 and 71\/105.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 1906*b + 114. Let f(q) = -12*q**2. Determine v(f(m)).\nAnswer: 432*m**4 + 22872*m**2 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737612863 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 2:45 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 208 + -1259\/6. Calculate the common denominator of w and (-460)\/400 - 2\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3663)\/(-81) - (-68)\/18?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**3 - 495*h**2 + 61*h - 71. What is w(-62)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 4*c - 5*c + 4*c. Let l(z) = -z**2. Determine i(l(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2816003?\nAnswer: 41, 68683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3510, 16806 in decreasing order.\nAnswer: 16806, 3510, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20401*g**6 - 27878*g**2.\nAnswer: -2448120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 9*p**2 + 4*p - 14. Is l(-10) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -79086 (base 10) in base 6?\nAnswer: -1410050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 0.36. Let d = -0.4 + x. Suppose -5*i + 14*k - 36 = 18*k, i - k = 0. Which is the biggest value? (a) d (b) i (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*m**2 + 0*m - 2\/5*m**3 + 8\/5.\nAnswer: -2*(m - 1)*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 2*g - 40. Let l be z(24). Let i = 1778 - l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 154 = 3*y, -4*y - 4*u + u + 188 = 0. Let i be (-1 + 46\/y)\/(114\/(-9690)). Factor i*x - 4 - 6\/5*x**2.\nAnswer: -2*(x - 5)*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 6. Let h = -2677 - -2681. Let c(s) = 28*s + 90. Let o(q) = -11*q - 36. Let y(b) = 5*c(b) + 12*o(b). Give h*y(m) + 11*k(m).\nAnswer: -m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-3))\/((-2)\/(-4)))\/((-6)\/(-33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkojojkjojojj. What is prob of sequence ok?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 15) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7801 = 50*t - 51*t, 3*a = 3*t - 23373. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - k + 3. Let h be r(6). Let x = h - -23. Find the common denominator of -9 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1342019*t**4 - 2*t**3 - 1332128*t**2 + 2*t?\nAnswer: -32208456*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 3*p + 5 = -2*u, p + 5 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5166675 (base 8) to base 12\nAnswer: 5618a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48223605 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h**3 - 180*h**3 + 50*h**3 + 36*h**3 - 19*h**3.\nAnswer: -79*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, 71\/17, 0.13, -8.5 in increasing order.\nAnswer: -8.5, -2.3, 0.13, 71\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(13) + (sqrt(13) - (1 + sqrt(13))**2))*2*2*2 - (sqrt(104) + 4*1*sqrt(104) - sqrt(104))\/(-2*sqrt(8)*-2).\nAnswer: -sqrt(13) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(1 + 0)*-4. Suppose -u*r - 5 + 21 = 0. Determine h, given that -20*h**3 + 17*h**3 - 2*h**2 + 3*h + h**r + h**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222 - 70. What is the remainder when x is divided by ((-2)\/1)\/(-1)*(-31)\/(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1471*k - 1422*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2335 - -9190. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36699 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210100220 - 111112102?\nAnswer: -10021220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from sssszsss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8892 = 16*d - 7988. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46899, -46884, -46855, -46806, -46731, -46624, -46479?\n\"Answer: q**3 + q**2 + 5*q - 46906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ttotttttotottttttto?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.3 - 3. Let t = 3 + -2.8. Let h = 47 + -47.4. Which is the third smallest value? (a) r (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1886 and 941.\nAnswer: 1774726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/33 - 9\/11. Let w = 1580\/3 - 515. Let z = w + -11. What is the nearest to d in 0.3, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/248 (b) 3\/7 (c) -3 (d) 3\/5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30410278.\nAnswer: 2, 23, 661093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9868, -3 in increasing order.\nAnswer: -3, 2, 9868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 231 + 201 = 0, -557*m + 558*m + 16 = 3*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*w + 0*w + 15 = 0, 21 = h - 5*w. Let a = -1 + h. What is the least common multiple of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584 times 1.7\nAnswer: 992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3320162 + -0.332. What is w rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8928\/(-20))\/18*(-185)\/2.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:29 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*q - 8 = 21, -5 = -5*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -4. Let q be 1*((-3420)\/(-380) + -1 + -25). Sort -1, q, r in ascending order.\nAnswer: q, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and -7\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 459 = 319 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 5 (c) 13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*x + 48 + 12 = 0, 0 = 3*s + 4*x - 85. Let d = -3 + 10. Let n = 20 - d. Calculate the remainder when s is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 3*c - 3. Let d(j) = -j**2 + 4*j + 2. Let q(z) = -4*d(z) - 3*k(z). Determine q(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 42 = -30. What is the third derivative of -7*f**o + 3*f**2 - 11*f**3 + 29*f**4 + 15*f**2 + 17*f**3 wrt f?\nAnswer: 696*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 216, 219?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvlh when four letters picked without replacement from ehheveeqehlhqle.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68.069 - 68. Let a = -0.03 + i. Let h = 0.0419 - a. Round h to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.6944 rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, 4, 0.3, -11\/7, -35, 0.1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*p - 26, -7320*p + 7317*p + 1 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 0.2, 0.5, -0.12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {u: 1, h: 3, t: 2, z: 1, j: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -4*y**6\/3 - 7*y**2\/2 - 8. What is the second derivative of l(d) wrt d?\nAnswer: -160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (10 - 3) - (-37 + -45 + 137).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1338437, -1338435, -1338433, -1338431, -1338429, -1338427?\n\"Answer: 2*t - 1338439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-3))\/(20\/6))\/((-36)\/(-72)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/((-2)\/6). Is v + (-2 - 20)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (590\/60 - 1*-2)*6.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89384855?\nAnswer: 5, 7, 2553853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605*g - 444 = 1543 + 1038. Let f(o) = -7*o - 11. Let y(i) = -i - 1. Let p(s) = f(s) - 4*y(s). What is p(g)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61, -162, -263, -364?\n\"Answer: -101*u + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -56, -86?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10286 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - u + 2*u + (-5*u + 0*u + 3*u)*(2 + 4 - 5) - 4*u - 2*u + 4*u + 3 - 3 - u - 3 + 3 + 3*u + 0 + 0 - u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b + 2*g = 43*b - 18, -4*b - 2*g + 14 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15760241.\nAnswer: 7, 17, 132439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (0 - -1)*6. What is the closest to -4 in x, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4104*i = -4110*i + 102 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let w(u) = -84*u**2 - 18*u. Let q(s) = -24*s**2 - 5*s. Let z(h) = 18*q(h) - 5*w(h). What is z(p(f))?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q**3 - 13*q**2 - 50*q + 10. What is the smallest common multiple of u(-5) and 40?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 73*y**2 - 152*y - 85. Calculate c(-75).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 5*a + 6. Let l(z) = 2*z**2 - 5*z - 7. Let v(t) = -2*l(t) - 3*p(t). Suppose -3*h = -5*h + 4. Suppose 16 = -2*o - h*o. What is v(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p)**36 assuming p is positive.\nAnswer: p**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 10. Let q(t) = t - 1. Let n(l) = 5*l - 6. Determine g*q(z) + n(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 342 = -51*w - 102 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 7*j**2 - 2. Let f(s) = s**3 - 5*s**2 + 1. Let v be (-3 - (-1 - -1)) + -2. Calculate v*n(q) - 7*f(q).\nAnswer: -2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 25244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*t - 74 = -7, 5*x + 116 = 4*t. Let j = -5 + x. Which is the biggest value? (a) 0.3 (b) -2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 5*u**3 + u**3 + (0 + 0 + 2*u)*(-9*u**2 - 8*u + 8*u) - 32*u + 35*u + 7 + 24*u**2 - 26*u**2 - 2*u**3 to l*u + v*u**3 + s*u**2 + t and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:33 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*i - 41. Suppose 0 = -i*v - 5, -l + 127766 = -5*l - 2*v. Let m = 65059 - l. Round m to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 6 - 6 - -18. Let u be d\/(-10)*1300\/(-40). What is the greatest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16c0 + 9?\nAnswer: -16b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*j**3 - 2 + 0*j**3 + 2*j**3 wrt j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -8. Let g(r) = 15*r - 1. Give g(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11110213201 - -10?\nAnswer: -11110213131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 + x**2 - 9*x + 5. What is the thousands digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2921 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and (-1*(-6)\/(-10))\/((-13)\/1755)?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4 = 2*y, 4*c - 24 = -y - 0. Let u be (y\/(-2))\/(12\/18). Is 8 a factor of (8\/(-6)*u)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1 + 1)*2. Let k = 7.17 - 0.07. Let i = 7 - k. Which is the closest to i? (a) m (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 - 8*m + (9 - 4 + 0)*(4*m - 3*m + 0*m))*(-m**2 - 3*m**2 + 5*m**2).\nAnswer: -3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - z + 0*z + (-2 + 2*z + 2)*(-1 + 6 + 0))*(((-2 - 1 + 2)*(-5 - 2 + 5) - 13 - 7 + 4 - 1 + 0 + 4)*(3 + 1 - 5) + 0 + 2 - 4) to i + o*z and give o.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 148*d - 1010. Give j(6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682 + 6?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 83 = 359. Let t = y + -47. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 19104*f**3 - 306243*f**2 + 1206576*f = 0.\nAnswer: -6384, 0, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 18930?\nAnswer: 18930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = -a. Suppose -2*q - 228 = -3*x + a*q, -3*x + 228 = 5*q. Calculate the greatest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 9:42 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 4*d - 9. Let c be q(-3). Is 7\/((-42)\/9)*3620\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 14, u: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8040085 rounded to two dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388 divided by -4636.\nAnswer: 97\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.1 + 10. What is the nearest to -0.1 in 0.4, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27556247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpaananopp. Give prob of picking 1 o and 1 p.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2092, 2098, 2104, 2110, 2116?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from ybyxxybbxu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1086 (base 10) to base 13.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = 2*n - 1, 10 = 2*f - n. Suppose -3*u = f*i - 2079, 0 = -0*i + i + 2*u - 697. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + -3 - 2) + (-2)\/(-1). Suppose 0 = -4*p - 4*v - 6544, -9469 = g*p - 2*v - 1268. Let j = 2342 + p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*m - 4*w = -151*m - 30752, -2*m - w + 61546 = 0. What are the prime factors of m?\nAnswer: 2, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.00064 or -5.53?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 38\/5. What is the closest to -0.1 in -5\/3, l, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26593036 to the power of 1\/2, to the nearest integer?\nAnswer: 5157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 3, -2, -1, 4232, 0.31.\nAnswer: -2, -1, 0.31, 0.6, 3, 4232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 25230 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 + 4857 - 84*s**4 - 2423 - 2435)*(5 - 1 - 2) + 2*s**4 - 1 + 1 to q*s + k*s**2 + t*s**4 + l*s**3 + a and give t.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 100, 2, -15 in ascending order.\nAnswer: -15, -5, -4, 2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -87*s**3 + 14*s**2 + 3296*s - 3. Let o(x) = 86*x**3 - 14*x**2 - 3310*x + 4. Let i(t) = 3*o(t) + 4*q(t). What is the second derivative of i(f) wrt f?\nAnswer: -540*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 8. Let t = -2 + n. Suppose -2*l + 81 = -t. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(20)\/sqrt(4)*3)**2 - (sqrt(60)\/(sqrt(48) + sqrt(12)))**2.\nAnswer: 715\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*-3*sqrt(11) - (sqrt(11)*-3 + -1)) - ((sqrt(77)*-1 + sqrt(77))*4)\/(3*sqrt(175)))**2.\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/19 + 84298*f**2\/19 + 168590*f\/19 + 84294\/19 = 0. What is f?\nAnswer: -42147, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 805600 = -45*j + 37*j. What is j rounded to the nearest one thousand?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 11*f**2 - 3*f**2 - 67.\nAnswer: 8*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10101101101010110010010 (base 2) to base 8\nAnswer: 25552622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7\/3 - (2 + 2)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56785 is divided by 13840.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -106. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + -87. Let t = l + 90. Let o = 50.00000046 + t. Round o to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 11 - (-7)\/((-1071)\/(-2074)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000251486 rounded to six decimal places?\nAnswer: -0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 18 = 0, 110*m - 30 = 115*m - 5*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u**2. Let l(f) = 15*f**2 + 1 - 14*f**2 - 8*f**2 - 1. Determine m(l(d)).\nAnswer: -539*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18007 divided by 5\nAnswer: -18007\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1215)\/(-134190)*71)\/((-3)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126.125 - 87. Let f = -0.125 + u. What is the smallest value in f, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 53276.8 litres in millilitres?\nAnswer: 53276800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5676410 divided by 91555\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53180 + -17\nAnswer: -53197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o + 295 = 0. Let z = o + 31. Let i be (z\/(-8) - 3)*8. Solve 5*q - 2*p + 6 = 0, 0*q + 2*q - 4 = i*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/28592?\nAnswer: -3\/28592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 140\/14)*(-5 - 14)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 20\/(-80)*4)*4.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1251 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5190056869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14517701*a**6*t - 3*a**2*t + a**2 + 140*a*t - 26*t - 1 wrt a.\nAnswer: -1742124120*a**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -33, -53, -71, -87, -101, -113?\n\"Answer: h**2 - 25*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 32180*m**2\/3 - 5507282*m\/3.\nAnswer: -2*m*(m - 15917)*(m - 173)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261660 and 2994880?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.69 - 1.54. Let v(c) = c**3 - 7*c**2 + 4*c + 12. Let s be v(6). Suppose s = -2*p - 0*p - 4. Which is bigger: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812 = -7*w + 819 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*v = -8, 7*v - 3*v = 4*a + 4. Suppose 0 = d + 2*q - 1, d + a*q = 4*q + 1. Is 2 + -1 + d + 31 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57369 is divided by 1003?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 30 = 5*p, 141*p + 233 - 1079 = -d - d for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*h - 12 = 0, -i = 5*h - 6844 + 6843 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 126, -699, -2074, -3999?\n\"Answer: -275*b**2 + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:25 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4558371 to the nearest integer?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r**(-3\/10))\/((r\/r**5)\/r**7) assuming r is positive.\nAnswer: r**(331\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 3*r**4 - 8*r**3 + 32*r**2 + 10*r + 1. Let w(i) be the first derivative of o(i). What is the derivative of w(p) wrt p?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62294 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1807.\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -5065*k**2\/2 + 3*k + 22. Is w(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:59 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + w**5\/15 + 5*w**4\/24 - w**3\/6 + w**2. Suppose 3*h + 3*f - 3 = 0, 2*f + f + 12 = 0. Give l(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 3:39 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (63\/36 + 0)*4\/(-14)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1992 = -296*d + 376 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o + 23*o + 10*o**2 - 19*o**2 as p + t*o**2 + i*o and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {m: 4, o: 2, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjpjjppjpjpjjfjj. What is prob of sequence fpp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 13. Suppose -m = -8*m - 77. Let p be n(m). Solve -p*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 157, -1\/2, -7, -2\/7 in decreasing order.\nAnswer: 157, -2\/7, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 10:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s + 2. Let r be k(0). Let f(x) = 8*x**r - 18*x**2 + 0*x**2 + 8*x**2. Let i(u) = u. Determine f(i(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y + 6. What is the smallest common multiple of 22 - (4\/y - -2) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/35319 and 1\/300.\nAnswer: 3531900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-345)\/(-30) - 11)\/(2\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 + 6359151*u**2 + 3369973249113*u + 77506020775221 = 0. What is u?\nAnswer: -1059847, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 2262.\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 7 = 21. Let k be 204\/a + 0 + -4. Let u = -44 + k. Solve 5*o + u = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, -1\/2, 5, 3\/2, 1 in descending order.\nAnswer: 5, 1.6, 3\/2, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 793\/1493139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.855 - -1676.145. Let u = m - 1678.803. Let o = u - -0.9. What is o rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.12, -1, 185, 1.1, -1\/11, -0.4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4088*g + 3722*g = -534*g + 175224 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 771\/841 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1539931*g**2. Let i(c) = -7*c. Determine i(l(t)).\nAnswer: -10779517*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5156337203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22270, -22269, -22268, -22267?\n\"Answer: k - 22271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 368?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 47.33755 grams?\nAnswer: 47337550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v + 13*v**3 + 19*v**3 - 35*v**3 + 19*v + 15*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1316263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3944 + 5987. What is the common denominator of 65\/6 and l\/270 - (-2)\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 24. Find the second derivative of 3*x + 77*x**w - 82*x**3 + 32*x + 2*x**4 wrt x.\nAnswer: 24*x**2 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 183\/21 + 4\/14. Suppose -3*l = d, u - 4*l - 48 = -2*u. Let b(w) = 79*w + 553. Let a be b(-7). Solve 0 = -a*i - 3*i - u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -405980 in descending order.\nAnswer: 9, 4, -405980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-9))\/5*(5 + 1). Suppose 7*b + 63 = 10*b + 4*y, -i*b - y + 84 = 0. Suppose f = 53 + b. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138.7 - -21.7. Let d = -117.0000276 - s. Round d to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = -2*d, -d + 2*k = 3 + 1. Find the third derivative of d*p**6 - 74*p**5 - 4*p**6 + 87*p**5 + 5*p**2 wrt p.\nAnswer: -240*p**3 + 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -1)\/(12\/164). Suppose -3*l = -1 - d. Sort -5, l, 2 in descending order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 5*h**2 + 2. Let z be s(-5). Let u = -4929 - -8510. Suppose -4*w + r = -4760, -u = 4*w - 7*w - z*r. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 4, p: 3, z: 2}. What is prob of sequence pzp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0, -77, -2, -1 in descending order.\nAnswer: 4, 1, 0, -1, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13*l**2 - 10*l + 8. Let w be j(3). Suppose -w = -14*f + 3. What is the greatest common divisor of f and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-166 - -142)*36\/12?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -1.6. Let n = -2502 - -2502. Let z = -3 - -3.05. What is the nearest to n in f, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/8, -0.5, 7988, 25?\nAnswer: 7988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27ca5 (base 15) to base 4.\nAnswer: 133023302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 23 = -2*q. Let b be 4\/2 + q\/4. List the prime factors of (-4 + 1)\/(b\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2 = -i, 4*b = -i + b - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:24 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.6 - 12. Let d = a - -1.4. Which is smaller: d or 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - 3*h)*(-4*h + 12*h - 2*h) + (6*h - 2*h - 2*h)*(5 + 2*h - 5).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1539*r**4 + r**3 - 1535*r**4 + 11*r**3)*(1 - 3 + 1 + 4 - 5 + 0 + (-3 + 6 - 2)*(1 + 2 - 2) + 2 + 1 - 1)*(1 - 1 - 1).\nAnswer: -4*r**4 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00306308312 rounded to six dps?\nAnswer: -0.003063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6539, 6622, 6717, 6830, 6967, 7134, 7337, 7582?\n\"Answer: o**3 + 76*o + 6462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*u**2 - 3*u + u**2 - 2*u + 2*u to k*u + n + p*u**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, -22, -51, -92?\n\"Answer: -6*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9345169.9 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2217 - 1391 - 1582 - 5170)*((-3 + 0 + 1)*(2*f - 1 + 1) + (1 - 1 - 1)*(f - 3*f + 0*f)) as l*f + q and give l.\nAnswer: 11852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441 = 249*t - 60*t - 58*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186.5 + 187. What is the smallest value in -23, 0, s?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 + 8)\/(-1 + (9 - 7))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 3100760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2821519 to the nearest integer?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.120603799 times -4\nAnswer: -0.482415196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41780 + 41780 - 4*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-65))\/((-2)\/2)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/6 (b) -2 (c) -1429\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 360\/113917 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19149 plus -15054796?\nAnswer: -15035647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**4 + 4*t**4 - 3*t**4 + (0*t**2 + 31*t - 34*t - 2*t**2)*(t**2 - 5*t**2 + 3*t**2).\nAnswer: 9*t**4 + 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**3\/3 + 2*m**2 - 3*m + 714. Determine p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24483393 smaller than -24483388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, s: 5}. What is prob of picking 1 s and 2 k?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -1530. Let w = 2768 + z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 times -0.3\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34006 by -1.\nAnswer: -34006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-9 - -6) + (1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-3)*f))\/(f\/(f*f**(-2\/83))) assuming f is positive.\nAnswer: f**(247\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*v + 379, 0 = -5*n + 34*v - 31*v + 1856. List the prime factors of n.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + d**3 - 2 - 4*d**2 + 5 + 2 - 3. Let g be f(3). Suppose 0 = g*q + 5 - 43. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/4 - 1554*f**2.\nAnswer: -3*f**2*(f + 2072)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 101011011001110?\nAnswer: -101011011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831890 a multiple of 1135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(2*h**2 + 3*h**2 + h**2)*(18 - 12 + 26).\nAnswer: -192*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-228)*21168\/(-19845)\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275 - -279. Suppose 380 = -x*v - 15*v. Is -21 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 62*y**2 - 129*y + 236. Let g be t(-60). Let r be (-10)\/(-12) + g\/48 + -8. Let k(o) = 3*o + o**2 - 4*o - 10*o + 11. What is k(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/4 + 17*o**3\/4 + 515*o**2\/4 + 2223*o\/4 - 1377\/2 = 0.\nAnswer: -9, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 22 + -75 + 83.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654 = -5*m - 4*w, 38*m - 43*m = -5*w - 645. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = 3*p - 16, -p - 5*h = 0. Suppose 0 = -7*u - p + 94. Solve -5*q - 5*b = 5, -5*q - u = -3*b + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1168652500 rounded to the nearest 1000000?\nAnswer: -1169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-4)*(-11)\/(165\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.064842 times -7.5\nAnswer: -0.486315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 7*i + i**2 - 2*i - 6*i. Let q be p(-5). What is the highest common divisor of q and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f**2 + 0*f)*(-1 + 4 - 1)*(2*f**2 + 2*f**2 - f**2).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/9 (b) -0.73 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59769487601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*k**2 + 0*k - 15*k**2 - 36*k**3 - 18*k**2 - k - 23*k**2 to the form x*k**3 + u + z*k + m*k**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + (sqrt(272)*2 + -4 - sqrt(272)).\nAnswer: -4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/16*12\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149.3 - 149. Sort -4, -16, z in increasing order.\nAnswer: -16, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*n - 20. Suppose 4*v - 2*o = 26, -3*v = -5*v + 5*o + n. Is 1\/(-2) - (-57)\/v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6252 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13b - b?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -115, -260, -437, -646?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -449.120895 - -449.1. What is y rounded to 4 decimal places?\nAnswer: -0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -4, 1 in ascending order.\nAnswer: -4, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 10. Let v be 2\/b + (-2)\/3. Let i be ((-15)\/9)\/(v\/(-3)). Put 2, i, 0 in descending order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*r, 4*v - 10*r = -0*v - 15*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 21 = -4*i, -3*x - 15 = -23*i + 20*i. Solve 0 = -2*d + 3*q - 1, d + 4 = i*q + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 21 + 6 = 0. Let m be (3 + d\/4)*-24. Let q = 38 - m. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 5*c**2 + 5*c + 8. Let j be u(6). Let d(r) = -r**3 - 3*r**2 - 2 + 3*r**2 + j*r**3 - r**2. What are the prime factors of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190 divided by -111086?\nAnswer: -2095\/55543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 5*s + 14. Suppose -2*t - 18 = 8*b - 10*b, 0 = -b - 3*t + 13. Determine r(b).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001001101010100 (base 2) in base 11?\nAnswer: 70636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 + 6426*z**4 - 10527097*z**3\/4 + 40939830*z**2 - 740959873*z\/4 + 455344245\/2 = 0 for z.\nAnswer: 2, 5, 9, 3181\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*k + 135, -4*c - k = k - 112. Let o = c + -26. Suppose -5*r = -r - j - 118, -2*r + o*j = -54. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 4:19 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29\/10047, 4, 5, -11, -0.4 in decreasing order.\nAnswer: 5, 4, 29\/10047, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22766, -47272, -73520, -101510, -131242?\nAnswer: -162716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212873050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 165708?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*g - 15 = 2*g, 4*g = 3*a + 5. Let l(u) be the third derivative of -u**4\/24 - 13*u**3\/6 - 2*u**2. Calculate l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x**2 + 2*x - 2. Let h be j(-3). Is -1 + 69\/(2 + h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*r + 108 = 0, 57 = 2*n + 2*r - 81. Suppose -5*b + 44 = -4*f, 2*f = -3*b + 9 + 13. Calculate the greatest common factor of n and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 6 + -1 + -2. Solve 4*b + b = -x*f - 20, 0 = 4*b + 5*f + 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*h + 3. Let s(j) = -3*j + 2*j - 5*j. Let a be s(h). Solve 18 = -3*r + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*t + 31, 3*c = 6*c + 15. Calculate the remainder when 19 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 1932 - 4823 = 0. Calculate the remainder when x is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 782975 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 170891883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2. Let i(y) = 0*y**2 + y**2 - y**2 + 2*y**2. Give i(r(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5573 (base 9) to base 8\nAnswer: -10024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1317 - 1287. Let c = -4752 - -7419. Suppose b*g + c = 33*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 25 = 3*o, -3*o + 4*o - 3*c = -15. Let j = 0.031 + 2.669. Let n = j + -3. What is the closest to o in 3, 1\/10, n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 15 = 5*m, -5*y + 6*y = -3*m - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 860013899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40264837?\nAnswer: 40264837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 3317*y - 66140.\nAnswer: -(y + 20)*(y + 6614)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -26*o - 3. Calculate the remainder when z(-2) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -49*k + 786 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*g + 8 = -156*g. Solve 0*k - g = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -4\/3, -3\/2, -2.7, -1\/6, -0.10474, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (603\/2613)\/((-4)\/(-104))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*p**3*w**2 - 2*p**3*w - 15*p**3 - 647*p*w**4 + 7*p*w**3 + 10*p*w - 23*p wrt w.\nAnswer: 28*p**3 - 7764*p*w**2 + 42*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 5*k - 1302. Let v = k + 1224. Suppose -4*g + g + v = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*h + 117*h = -2387 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**7\/294 - a**6\/70 - a**5\/28 + 9*a**4\/28 - 16*a**3\/21 + 6*a**2\/7 + a - 113. Let o(q) = 0. Calculate q.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12*2*12. Let d be ((-1)\/(-2))\/(1\/s). Suppose 92*y - 287 = 4*y + 153. Solve 0 = -4*f, -3*f - y = 2*o + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k - 5*u + 1882 = 49*k, -7 = u. Solve -8*s = -k + 655 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5656337*q - 8413 = 5656516*q for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-7 + -1 + 10 + 7 + -3 - 11).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29363\/4 + 3376349\/460. Let y = -6\/23 - w. Suppose 5*l - 2 + 27 = 0. Which is the biggest value? (a) l (b) 1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3794, -15084, -33876, -60176, -93990, -135324, -184184, -240576?\nAnswer: -304506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - b = b, 4*t = b. Suppose t*f - 5*f = 250. Let o be (4\/10)\/((-10)\/f). Solve 5 = i + o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from nynaba?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192805 - 192805 - 3*c**2 + 2*c - 2*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014702484 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 13538?\nAnswer: 947.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhohouuowehoihh. What is prob of picking 1 i, 1 u, and 1 e?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**5\/5 - 24*d**4\/5 + 144*d**3\/5 + 402*d**2 + 1335*d + 1350 = 0.\nAnswer: -5, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 12. Let x be h(17). Let l(z) = 2*z**3 - 5*z**2 - 10*z + 7. Is l(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/32? (a) 5 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (5 - -7) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4 + -2 - (-4)\/(-8). Let w(y) = y**2 + 10*y + 15. Let o be w(-8). Sort o, -3, g in increasing order.\nAnswer: -3, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172427880 to the power of 1\/3, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**4 - 6*f**3 - 183*f**2?\nAnswer: 96*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 60*c + 180.\nAnswer: 5*(c + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14386137?\nAnswer: 3, 79, 101, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-0.6.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -845, -1264, -1683, -2102?\nAnswer: -2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-147)\/(-2)*12\/(-9). Suppose -6*g + g = -5. Does 14 divide s*(-1)\/(3 - g)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (60*t**2 - 44*t**2 - 216*t**2)*(-1 + 2*t + 1) + 2 - 3*t**3 + 2*t**2 + 4*t**3 + 0 in the form s*t + r*t**2 + k*t**3 + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 - 6*d. Suppose 98*a + 72 = 366. Let g(x) = -5*x**2 + 5*x - 1. Let h = -5 - -9. What is a*w(p) + h*g(p)?\nAnswer: -2*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = d - 0*j - 5, -15 = -3*d - 2*j. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 38, 37, 36, 35, 34?\n\"Answer: -m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*v = -28, 0 = -3*w + 2*v + 2152 - 2148 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -4*u, -4 = -2*k - 2. Suppose -2*p + 238 = -u*g - g, -g - 5*p = 85. Let m be ((-534)\/g)\/(-3) + 2\/(-5). Is m < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**7\/84 + f**6\/120 + f**3\/6 - 4*f. Let k(a) be the second derivative of c(a). Find the third derivative of k(m) wrt m.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/17 - 77680*f**3\/17 + 34930348*f**2\/17 + 77680*f\/17 - 34930350\/17 = 0.\nAnswer: -1, 1, 455, 38385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from iiiididdiiiiiiddiii?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.26? (a) -1\/7 (b) 2\/5 (c) -1\/4 (d) 1\/5 (e) -4.873\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 + 3*y + 2*y + 15*y**2 + 10 - y**3. Let o be p(10). Calculate the highest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5158 = -2*y - 0*y. Let q = y + 4895. Let z = q - 1571. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4943, 9962, 14981, 20000, 25019, 30038?\n\"Answer: 5019*x - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(-1 - (-4)\/8). Is 163\/((m - 3)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -75, 3 in descending order.\nAnswer: 8, 3, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 1.57\nAnswer: -18.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -7*m**3 - 5*m**2\/2 + 8*m - 29. Let p(r) = -12*r - 4*r - 1 + r**2 - 6*r**2 + 15*r + 3. What is -2*n(o) + 9*p(o)?\nAnswer: -3*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 49374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(3\/6)\/(4\/(-8)). Suppose -3*b = a - k - 3, a + 8 = 5*b. Is 31 - -55 - 1*(-2)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258713*j**2 + 435357 wrt j?\nAnswer: 517426*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - q + 4*q - 7 = 0, -3*q - 17 = -a. Let i be (-12)\/4 - a*-1. Suppose 4*c - 6*c + 6 = 0. Solve -c*s = i*j - 5*s + 3, -2*s = -8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11484 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12*f + 21*f - 33 = 0, 5*a - 22 = -4*f. Solve -a*u - 6 = 0, -4*m + 12*u - 7 = 9*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7190176ng in milligrams?\nAnswer: 0.0000007190176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p + 9. Let f(n) = -n - 1. Let j(s) = 6*f(s) + u(s). Is 8 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(2\/29)\/a)\/a*a)\/a*a)\/((a*a\/(a*a**(-6)\/a)*a)\/a))**(-10) assuming a is positive.\nAnswer: a**(2590\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 - 84. Suppose -5*r + 25 = p. Solve -16 + 1 = r*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -9. Let j = w - -15.38. What is j rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 10*b**2 + 7*b - 10. Determine l(-8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(-16)\/40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160441920 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o + 2. Calculate h(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 837*t**2 + 793*t**2 + 0 + 897*t**2 + t - 2423*t**2 + 1. Calculate y(-1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12899, 12906, 12917, 12932, 12951?\nAnswer: 12974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 37604544183 - -52\nAnswer: 37604544235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214 - -11431?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uugggguguugg. What is prob of sequence uuuu?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65604.\nAnswer: 2, 3, 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21232913941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*v = -98, -i - 5*v = -9 - 18. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 2:16 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11005 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -78.2 greater than or equal to 1\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16) + 95*(-5)\/(-20). Let b = 8 - n. Suppose -2*j - 37 = -5. Are b and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 29. Suppose 0 = 2*b + 4*b - 18. Let d(k) = 2*k**3 - 5*k**2 + 5. What is the lowest common multiple of s and d(b)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 6*a**2 + 159*a - 58. Let w be p(-13). Let o(q) = -2*q + 7. Let i be o(6). Sort i, 2, 4, w.\nAnswer: i, 2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 2*g - 1. Let x(y) = -5*y**3 - 13*y + 7. Let r(u) = 6*t(u) + x(u). Calculate r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/2 + i**4\/2 + i**3\/2 - i**2\/2.\nAnswer: -i**2*(i - 1)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -488*u**2\/13 - 1168*u\/13 + 10 = 0. Calculate u.\nAnswer: -5\/2, 13\/122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1010011110?\nAnswer: -1010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202012112 - 2001020?\nAnswer: -211020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:07 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 22 + 22)*(0 + 6 - 3).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 39 = -b. Let o be (-1 + 2)*-1 - 4*b. Let m be (-4)\/(-3)*(-4)\/(40\/o). Calculate the greatest common divisor of 12 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 108151?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17050595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.42 and -0.21?\nAnswer: 0.0882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 88 = -4*a, a + 56 = 2*w + 2*a. Suppose -535 + 10207 = w*t. What are the prime factors of t?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 11:15 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/154 + 2\/((-352)\/54).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 6*v**2 + 2*v + 3585. List the prime factors of s(0).\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-550464)\/(-3619))\/(-61) - 12\/(-14)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**4\/12 - p**3\/6 - 11*p**2\/2 - 27*p + 3. Give o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 28 = -6*c, -4*c = -n - 9*c - 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 19*s**2 + 2*s + 2. Let h(y) = -y - 1. Determine 2*h(t) + i(t).\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:50 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 less than 14099?\nAnswer: 14089.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.289 + -0.819. Round b to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + j - 3 + j**2 + 0*j. Let b be r(-4). Let u(g) = 8*g**2. List the prime factors of u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7200451\/989370 + 2\/54965. Let t = a - -15\/2. Let q = 50\/57 - 4\/19. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**2 - 28*k + 4. Let b(o) = -8*o**2 - 28*o + 5. Determine 6*b(m) - 7*s(m).\nAnswer: m**2 + 28*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 238, 283, 358, 463?\n\"Answer: 15*b**2 + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356971 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/21)*f)**3 assuming f is positive.\nAnswer: f**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-2) + 1 + 1. Let z be (g - 1)\/(1\/1). Let y be (56\/z*2)\/(-2). Solve -5*k = -5*c + 10, 2*k + 3*c = -0*c - y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppdl when four letters picked without replacement from {l: 3, d: 5, p: 3, s: 2}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -x - 2*d, 0 = x - 3*d + 10. Is 13 a factor of (2\/x)\/((-14)\/(-1820))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 8 + -3 + 274\/(43566\/12879)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1782864.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjzzjjzjz.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + (-21 - -19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 766959*z**3\/2 - 12258257019*z**2 - 226649978304*z - 110260472832 = 0.\nAnswer: -63904, -18, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/4 + 0)\/(3\/42). Let v = 40 - w. Let r = -0.3 - -0.2. Which is the third biggest value? (a) -2 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 4:22 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7198 + 7203. Which is the biggest value? (a) 238 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 25976. Let k(o) = -522*o. Determine x(k(p)).\nAnswer: -1566*p - 25976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4136*r - 12876. What is n(-3)?\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -458*z + 143. Let a be s(-2). Let f = a - 1056. Find n such that 0 + 22\/19*n**4 - 22\/19*n**2 + 14\/19*n**f + 4\/19*n - 18\/19*n**5 = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*(-5)\/(30\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202\/3 + -67. Let j be 30\/(-7) + -5 + 9. Let g = -8 + 12. Which is the nearest to 1\/4? (a) j (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/4 (b) 0.4 (c) 24 (d) 8\/27 (e) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 10. Let p be f(9). Which is greater: p or -11\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let a(m) = -21*m**2 + 15*m + 15. Let i be 2\/(2 - (3 + -3)). Let g(c) = -c**2 + c + 1. Let q(n) = i*a(n) - 15*g(n). Give q(k(j)).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115885832 and 1302088?\nAnswer: 115885832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -159, 314, 975, 1824, 2861?\nAnswer: 4086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, 2, 3\/5, -0.3, -1, -0.07, 1.6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -48*w**3 + 49*w**2 - 90*w + 3. What is y(2)?\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 728467 (base 12) to base 15\nAnswer: 257a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 2510, 7462, 16970, 32552, 55726, 88010?\nAnswer: 130922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmgchhggwmcz. Give prob of picking 2 h, 1 c, and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58437521*k**4 - k**3*v**2 + 109*k*v**2 - k*v + 16*k - 227*v**2 wrt k.\nAnswer: -701250252*k**2 - 6*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0 + 50. Let t = b + -3. Let u = 10 - t. Solve -f - 14 = u*f + 5*n, -1 = 5*f - 2*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32754 minus 171?\nAnswer: 32583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971466 is divided by 4014.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220323.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -902 + 445. Let f = q + 1245. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5844*d**4 + 1 - 1443*d**3 - 5835*d**4 + 1517*d**3 + 2*d to w*d**3 + y*d + t + a*d**2 + r*d**4 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341145 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(3*f - 3*f - f**2)*(-162 + 602 - 116) to the form k + p*f + t*f**2 and give t.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(121)*1)\/(sqrt(11) - sqrt(44)\/sqrt(484)) + -5.\nAnswer: -5 + 33*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, k: 2, v: 3}. What is prob of picking 2 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 938523.7 kilograms?\nAnswer: 938523700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -8*k + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1334 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 26 = -6. Let k be (0\/(-2))\/(-3 - t). Suppose 5*a - 15 = k, 4*a + 15 = 4*w + a. Solve 5*o - 4 = w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 151507313 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 30*c**3 + 23*c**3 - 10 + 2 - 79*c**3.\nAnswer: -26*c**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9)*w)\/w*w*w**(-1\/29))\/(w**(-3\/2)\/((w\/w**0)\/w*w)) assuming w is positive.\nAnswer: w**(1693\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p + 5. Let j be f(0). Suppose -j*k + 2 = -2*i - 1, 5*i = -5*k - 25. Let r be i\/10 + 364\/10. Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576849?\nAnswer: 3, 7, 13, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/38)\/(((-137 + 32)\/5)\/4)?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(2*p - 3*p - p) - 1 - p + 1 + 318*p - 277*p - 637*p - 54*p in the form w + o*p and give o.\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -100*c**2 - c. Suppose 2 - 24 = -11*u. Let g(r) = 47 + u*r**2 - 33 - 14. What is g(a(k))?\nAnswer: 20000*k**4 + 400*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42256*-0.6.\nAnswer: -25353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, v: 3}. Give prob of sequence vvww.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 9:17 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000210 - 1002120?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + x + 11, -123*x + 118*x - 10 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 238712 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - 19 - -12 - -86.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -3*r**2\/2 + 3. Let q(m) = 8*m**2. What is q(k(u))?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5018\/3 + -1674. Sort -11, m, 0.3 in increasing order.\nAnswer: -11, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47662 divided by 23831.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 17711527, 2 in descending order.\nAnswer: 17711527, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/8264 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11442.5881 - 0.4.\nAnswer: -11442.9881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 + 1937387 - 2*k**3 - 1937390 - k - 28*k**2 - 5*k**4 in the form y*k**3 + a*k + x*k**2 + c + d*k**4 and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bac (base 14) to base 3.\nAnswer: -10011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/79364484 and 167\/180.\nAnswer: 396822420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35037 and 65028.\nAnswer: 759462012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 69696?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**13)*l))\/l)\/(l*l*l*l**(-1\/3)*l)*(l*(((l\/(l\/l**(-2\/3)*l))\/l)\/l)\/l*l*l)**(-1\/7) assuming l is positive.\nAnswer: l**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 9*o + 21, -9 - 5 = 2*m - 5*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7866 and 171.\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 2 + 2)*(80 - 160*k + k**2 + 63 + 158*k) in the form z*k**2 + r*k**3 + p + x*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 894*c**3 - 6*c**2 + 9*c - 4. Let x(l) = 1791*l**3 - 13*l**2 + 21*l - 8. Let d(o) = -7*a(o) + 3*x(o). Find the third derivative of d(s) wrt s.\nAnswer: -5310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 3*j**3 + j**3)*(2*j**2 - 2*j**2 + 2*j**2)*(0 + 13 + 0).\nAnswer: -52*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r**3 + 2*r)*(2*r - 4*r + r) + (0*r**2 + 3*r**2 + 4*r**2)*(r**2 - 3*r**2 + r**2) + (-r + 2*r - 3*r)*(-2*r**3 + r**2 - r**2).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**5 - 283*w**3 - 3*w**5 + 12 + 277*w**3. Find the third derivative of c(k) wrt k.\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57352 - 35969 + 28490 = 4987*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/12 and -5\/5532.\nAnswer: 5532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t, 0 = -c - 3*t + t + 33. Let d be 1\/3*-100*39\/(-13). Let v = -95 + d. Solve -3*m - 2*o - 2*o = c, -v*m + o - 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.29812 meters in kilometers?\nAnswer: 0.06129812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/7)\/((-30)\/(-21)). Let h = 33\/130 - x. Which is the third biggest value? (a) -3 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:02 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198133 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*(-9)\/18)\/(2\/(-186)). Let h = -90 - d. Let g be 15\/(-24)*2*-4. Put h, 28, g in decreasing order.\nAnswer: 28, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04682 - -102.34682. What is m rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - -2) - (1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/9)\/(1\/(-3)). Let h(d) = -2*d - 13. Let z be h(-8). Determine j, given that -4\/3*j**2 - 5\/3*j - q*j**z - 2\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b*b\/(b*b\/b**1)))*b\/b**0)**10\/((b**5\/(b\/b**(-6)))\/(b\/((b\/b**(3\/7))\/b)*b\/(b\/(b*b**(-2\/7)*b)*b*b))) assuming b is positive.\nAnswer: b**(302\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 69. Let u be (6\/v)\/(270\/80). Which is the third biggest value? (a) -3\/5 (b) u (c) 0.3 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 = -2*j. Let d = -1\/21 + -2\/21. Let h = 0.7 - 0.2. What is the smallest value in h, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 + 5 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-100) + (-26)\/(-10). Suppose 2*s - 1029 = 2*q - 2665, -n*q + 1624 = 4*s. Is 68 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 21*s - 12*s + 19*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = m + 39, -v = -6*v + 2*m + 45. Suppose -2*d = -5*l + v, -2*d - 4 = 2*d - 4*l. Let a(y) = 3*y - 1. What is a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/(sqrt(2) + sqrt(2)*3 + sqrt(2) - sqrt(2)) + ((sqrt(195)*-3)\/sqrt(5) - sqrt(39)))\/(5*-4*sqrt(6)\/sqrt(2)*-2))**2.\nAnswer: 117\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/(-10))\/((128\/1160)\/16) is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927.3735 months in centuries?\nAnswer: 0.77281125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, o: 4, l: 3}. Give prob of picking 3 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380 divided by 38.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*p = -19 - 3, -5*n = 4*p + 25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -840 = -5*g - 0*g. Let k be (g\/10)\/((-2)\/(-10)). Calculate the highest common factor of k and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*g + 102. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 188 = -4*w, 2*w - 65 + 319 = -4*g. Let f = -21 - g. Let d = f + -20. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let w(p) be the first derivative of 0*p - 1 + 5\/2*p**2. Determine u(w(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + d**2 - d. Let y(k) = -1038*k**3 + 5*k**2 + 1018*k - 1. Let a(t) = 5*p(t) - y(t). Find the second derivative of a(q) wrt q.\nAnswer: 6288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 15) + 0 + 3 + -8 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-45)\/(-10)) - (6 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose l + 4*z - 22 = 0, 4*z - 40 = -5*l + l. Suppose -x*u = -l*u. Solve u = j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31020113300 - -3?\nAnswer: 31020113303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)*x*x*x**(-12))**23 assuming x is positive.\nAnswer: x**(-2024\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23563*i*k**2*t - 11481*i*k**2 + 9*i*k*t - 27*k**2 wrt t?\nAnswer: 23563*i*k**2 + 9*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226736 at most as big as 906949\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -0. Solve -o = i*p + 1, 3*p = p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256967 (base 12) to base 3.\nAnswer: -1011010222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1944)\/972 - (0\/1)\/((-2)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + -27)\/(7\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*h = 12*h + 928 + 260. Let x(q) = -13*q + 156. Determine x(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let s(n) = 3*n + 24*n - 11*n. Calculate s(g(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 11 - 9*d - 3*d - 3 + 0 - 4*d**2 - 13. Determine v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwjwzjwzgjzzjaajzgza. What is prob of sequence wa?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = 21. Suppose -5*s + q = 27. Let c = 4 + -3.6. Sort 2\/3, s, c in ascending order.\nAnswer: s, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*b*d**2*o*v**3 - 2*b*d*o*v**2 - b*v**3 - 2*d**2*o + 4*v**3 + 13 wrt d.\nAnswer: 46*b*o*v**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/19 + 386*d**3 + 109656*d**2\/19 + 350464*d\/19 - 467456\/19 = 0.\nAnswer: -3652, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 790 and 31566583.\nAnswer: 315665830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 - -177. Let w = -0.013 - 22.987. Let y = 22 + w. What is the nearest to y in 4\/3, 3, b?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*o + 18, 15*o = 13*o + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 151 + 0*r + 6*r**3 - 3\/4*r**4 - 117\/2*r**2. Find the second derivative of x(o) wrt o.\nAnswer: -18*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 75\/2 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373*w**5 - 782*w**4 + 1434429*w**2.\nAnswer: 22380*w**2 - 18768*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-162)\/(-16)*(-12)\/72 and -21\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - -94 - 12\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 51*z**2 - 543*z + 37. Give x(36).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 3*n - 6, -2*u = -u + 5*n + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 591301 - 1193301. What is m rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 - 2*p**2 + 2*p + 2. Let k(u) = u**2 - 5*u + 4. Let f be k(3). Calculate q(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5124)\/28*(-16)\/240 - (-9)\/5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -44\/65?\nAnswer: -44\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 49427\/3795)*((-11)\/2 + 4)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -794, -793, -790, -785, -778?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/10)\/((-4)\/10). Suppose 2*p - 31 - 5 = 0. Suppose c - p = -17. Solve 5*l + 6*f = 3*f + 2, -c = x*l + 4*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h - 1. Let p be g(2). Let y be 32\/18 - (-6)\/p. Suppose -3*i = -y*k + k - 9, 4*i = -3*k + 25. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*b - 1249, -1539*v + 1312 = -1536*v - 4*b. What is the remainder when v is divided by 69?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 3, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3777 divided by -20091?\nAnswer: -1259\/6697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.2 minus 2540885337?\nAnswer: -2540885367.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from rauriruufuur?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k**4 + 55810*k**3 + 26417445*k**2 - 5468950600*k - 2191803460 = 0. What is k?\nAnswer: -1193, -2\/5, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 28200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owox when four letters picked without replacement from xoooxxwwo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/720 + h**5\/30 + h**4\/4 + 5*h**3\/6 - 6*h**2 + 2. Let q(w) be the second derivative of y(w). What is q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -23, -5.985?\nAnswer: -5.985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/3 + 9. Let c(z) = 3*z**2 - 45*z + 3. Let x be -3 - -15*(-60)\/(-50). Let w be c(x). Sort -0.7, w, g.\nAnswer: -0.7, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939413 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 878*o**2 + 95920*o - 96800.\nAnswer: 2*(o - 1)*(o + 220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 - -220. Suppose 222 - o = 5*a + 2*i, -37 = -a + 4*i. What is the highest common factor of a and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005954271 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/5)\/3)\/(4\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264213617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 457, 513, 489, 343, 33, -483?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/6 - 1409\/(-6). Suppose -f = 4*t - 863. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3978, -3975, -3970, -3963, -3954?\n\"Answer: y**2 - 3979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(2576\/1632) + (((-920)\/14)\/(-10) - 7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p + 271 - 289 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.355 times -6?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 154. Solve 2*l + f = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113792847 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 89 - 157 + 89 + 3*h in the form l + t*h and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*k**3 - 2 + 12827*k**2 - 12921*k**2.\nAnswer: 2*k**3 - 94*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246558 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15355, -15348, -15341, -15334?\n\"Answer: 7*m - 15362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1370 = -z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 6*x = 33696. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7069490 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 432 = -29*v - 14*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242898867 to the nearest integer?\nAnswer: 15585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150061 by -405.\nAnswer: -150061\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - -22 - (31 - (0 - 8)) - 7.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2. Suppose -5 = 4*h - 9*h. Let z be p(h). Let g be 0\/z - (-9 + -6). Solve 0 = -4*x - g - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53 - (-4)\/3*(-1197)\/114)*(-4)\/6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - ((-115)\/(-345))\/((-197)\/4722). Which is the second smallest value? (a) -3\/5 (b) g (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d. Suppose 0 = -37*k + 38*k - 22. Suppose -4*r + 6 - k = 0. Let u(p) = p + 4. Let y(z) = z + 3. Let v(o) = r*y(o) + 3*u(o). Give a(v(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015368 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-1)*f))\/f)**(-44) assuming f is positive.\nAnswer: f**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 1, -4, -10\/19 in decreasing order.\nAnswer: 1, -0.3, -10\/19, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1412477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, -47, -32, -11, 16, 49, 88?\n\"Answer: 3*g**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 90 = 7*k. Suppose -11*f + k = -7*f. What is the third derivative of 8*q**6 + 2*q**6 - 21*q**f - 2*q**2 wrt q?\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 4*h**2 - 5*h + 5. Let t be c(5). Suppose 3*y = 5*i + 2, -9 = 5*i + y + 3*y. Let z = 2 - i. Solve a - 16 = 4*r + z*a, 4*r - t*a = -30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3532, -14112, -31744, -56428, -88164?\n\"Answer: -3526*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5690060 divided by -4.\nAnswer: -1422515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 = -3. Let k(t) = 3*t - 2*t + 7 + 1 - 2*t. Let u be k(8). Sort 2, u, s in increasing order.\nAnswer: s, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -889 or -23079\/26?\nAnswer: -23079\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 12. Let f be o(8). Let h(d) = d**3 + 24*d**2 - 4*d - 93. Let b be h(-24). Solve -b*x + 0 = -f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b**6 - 5*b**5 - 6*b**2 - 5*b. Let p(c) = -8*c**6 - 4*c**5 - 5*c**2 - 4*c. Let h(k) = 5*p(k) - 4*x(k). What is the third derivative of h(j) wrt j?\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5982*q**3 + 146 - 146.\nAnswer: 5982*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 3 (c) 1.7 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 7*l**2 - 8*l + 16. Let m be o(6). Let x = -0.05 - 0.95. Which is the nearest to 2? (a) 3 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - ((-20 - -3) + 2). Suppose 2*k = 3*k - m. What is the remainder when 3*(58\/6 + -2) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 694, 1047, 1416, 1807?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1243280 - -692280. What is c rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/20*(-18900)\/2025?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2614 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152860763 to the nearest integer?\nAnswer: 12364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 74.78 (b) -19.9 (c) -2\/5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-416)*-4*4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c05c73 + 7?\nAnswer: -3c05c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 11331030?\nAnswer: 11331012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from yoyyoozyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + 2.2. Let h = b + -2.8. Let s = -25 - -26. What is the biggest value in 0, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 6. Let p(o) = -2*o - 6. Let r be p(-3). Let y be c(r). Find the third derivative of -h**6 - y*h**6 - 6*h**2 + 3*h**6 + 3*h**6 wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 5472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4844.082 - -4857. Let t = 13 - c. Let d = -0.045 + t. What is d rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2. Let d(g) = -g**3 + 3*g**2 + 2*g. Let x be d(n). Let b(p) = 2 + 2*p - p**3 + 1 + 0*p**2 - x*p**2. Calculate b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -1) + (-5 - -6) + -1745 + 1743\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, i: 5}. Give prob of sequence iiu.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 658, -1\/7, 5, 2\/333, -11\/2, -0.4, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 3 + sqrt(85)\/sqrt(5))**2 - (5 + (-1 + sqrt(17))**2).\nAnswer: 54 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 30 = -4*x, 19*r - 25*r + 10*r - 4*x = 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-1 + 0)) + 9 - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62933596 take away 239.726?\nAnswer: -239.09666404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 275496640 to the power of 1\/3, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z - 20. What is the least common multiple of j(8) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c + 5. Let t be r(4). Suppose 4*b + 14 = -u + 3, b = 5*u + 139. Let o = t - u. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 4) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011100001 - 101110011000?\nAnswer: 10100101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79673494?\nAnswer: 2, 39836747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8174967 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2652.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 11 + 20 + 8)*(148*h**2 - 3*h**2 + 20*h**2).\nAnswer: 10560*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -89. Solve q*h - 2 + 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(7) + 1.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*p + 29927 - 407, -4*y + 23616 = 2*p. Suppose 5*j + j - y = 0. Let q = j + -677. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i + 1828 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33867876.\nAnswer: 2, 3, 7, 17, 37, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2596\/9 + 2599\/9. What is the closest to -31 in j, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74765*t**2 + 74768*t**2 + 26 + 3*t**3 + 2*t - 149558*t**2 to c + i*t + v*t**2 + d*t**3 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.05, -2\/167?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 3 + 0*j + 1\/18*j**3 - 1\/6*j**2. Factor u(n).\nAnswer: n*(n - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 9*h - 9. Suppose t = -3*f + 24, -5*f - 2 = 2*t - 43. Calculate o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 3, c: 3, q: 4, z: 4, m: 2}. What is prob of sequence mffq?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 8:14 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 173, -39, 822?\nAnswer: 822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmh when three letters picked without replacement from {z: 1, f: 1, a: 8, m: 1, l: 2, h: 1}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 3 + 18*m**2 - 14*m**2 in the form a*m**2 + h*m + y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542 - 551 = k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.23354 micrograms to milligrams.\nAnswer: 0.06823354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -57, -118, -203, -312?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*h + 15, -21*h = -18*h - 5*p + 13. Solve 2*b - 25 = 5*k, k - h*b + 13 + 10 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135363 - -17.8368\nAnswer: -135345.1632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 23\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*y - 2158 = -5758 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 40, 55, 70?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254592 divided by 6?\nAnswer: 542432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838351600.\nAnswer: 2, 5, 17, 31, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1314 and 555530.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4790 + -4789.99991238. What is n rounded to 6 dps?\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 3716*p - 18 + 2412*p in the form f*p + r and give f.\nAnswer: -1304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let u(f) = -2574*f - 8. Calculate l(u(s)).\nAnswer: -5148*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449626?\nAnswer: 2, 3, 408271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**3 + 0*h**2 - 1\/50*h**5 + 0*h - 2 - 1\/10*h**4 - 1\/600*h**6. Let y(f) be the third derivative of s(f). Factor y(n).\nAnswer: -3*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 - 70016*p**2 - 15885188*p + 15955200 = 0. Calculate p.\nAnswer: -225, 1, 17728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 515 = 5*t + 5*d, -4*d - 182 = -2*t. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z**4 - 37*z**3 + 30*z**2 - 3*z + 7. Let m(x) = -5*x**4 + 18*x**3 - 15*x**2 + 2*x - 3. Let w(s) = -3*h(s) - 7*m(s). Factor w(u).\nAnswer: 5*u*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -37. Let s be (8\/r)\/(1\/(-7)). Find o such that -16*o**5 + 8\/5*o**4 + 0 + 2\/5*o + 51\/5*o**3 + 19\/5*o**s = 0.\nAnswer: -2\/5, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2127 - -5427. What is the least common multiple of a and 2640?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265506 (base 10) to base 6\nAnswer: -5405110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-390)\/(-104) - (-2)\/8. Suppose -11 = -3*y - 9*k + d*k, -y + 4*k + 15 = 0. Solve y*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14424 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2)*1 + (176 - -24). Let s = -114 + r. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g*g\/(g\/(g**(-3\/5)\/g)*g)*g*g)\/g*g**1*(g**(-1))**25)**(1\/6))**(-30\/11) assuming g is positive.\nAnswer: g**(113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -64*u**3 + u**2 + 2*u + 2. Let y be t(-1). Suppose -5*v - 20 = 0, 2*v - 29 - y = -2*f. Suppose 4*o = f + 165. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 156\/120)*8\/(-21). Let s be (2\/(-3 + 1))\/(-1). Which is bigger: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -535 + 568. Suppose 4*u - g = 20, 9 = -5*u + g + w. Solve 0 = u*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/9 + -20 + 1. Calculate the common denominator of -73\/2 and (-3)\/y - 193\/(-56).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2*18\/(-4). Suppose -2*n = -y - 7. Suppose 2*x - 9 = -o, 2*o + 1 - 9 = x. Solve -w + n = 4*s - 6*w, 5 = x*s - 3*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*z - 587, 2*c + 589 = -4*z - z. Is -116 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 445 + -445.237. What is r rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 - -4182512242.\nAnswer: 4182512241.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 65867 = q, -3*y + 4*y = -3*q + 197596. Suppose -q + 21861 = -12*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from tftttttttttttttttftf?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**2 - 2*s + 5. Let q(i) = i**2 + 1. What is -o(a) + 6*q(a)?\nAnswer: -2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 22851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 22*u + 17. Let y be t(-7). What is the highest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.46173087 rounded to three decimal places?\nAnswer: 6.462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - 3. Let u = 3.8 + h. Let s be 37\/7 - 6\/21. What is the second biggest value in 0, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5115583 and 22?\nAnswer: 10231166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67239554 is divided by 4419.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 4 + (-4 - -1). Put 13, -3, i in descending order.\nAnswer: 13, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 128\/40 + 0 + -1. Which is smaller: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/10 - (-20)\/(-3)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i**2 + 205*i - 617. Give h(3).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 356023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*g**3*h - 5*g**2*h + 43*g*h wrt g.\nAnswer: 672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -26.0086. Round f to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**3 - 4. Let f(s) = -1 + 0*s**3 + 2*s**3 - s**3. Let t(l) = 3*f(l) - k(l). Find the first derivative of t(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - 4*z - 1. Let f(v) = -17*v**2 - 17*v - 5. Suppose 9*l + 45 = 14*l. Give l*m(s) - 2*f(s).\nAnswer: -2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385353 is divided by 35031.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0007 + -2.0007. What is the second biggest value in 1\/7, 6, a, -2\/13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.018?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w**4 - 2478*w**3 - 91965*w**2 - 191454*w - 34632 = 0.\nAnswer: -111, -52, -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = 2*t, -t - 5*r = -0*t + 3. Suppose 9 = w + t*z - z, 3*w + 5 = 5*z. Solve -20 = -w*l, 3*x - x - 5*l + 16 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*q - 26 = 0, -2*p + 14 = -5*q + 4*q. Let k = 5 + p. What is the lowest common multiple of k and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7*y = f - 9, -y = 3*f - 3. Let j = -0.8 + -5.2. Let q = 8 + j. Sort -1\/5, q, y, 1 in ascending order.\nAnswer: -1\/5, 1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.0448 (c) -0.4 (d) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -25*j**2 - 5*j - 52. Let v(m) = -24*m**2 - 4*m - 51. Let t(y) = -4*u(y) + 5*v(y). What is the first derivative of t(n) wrt n?\nAnswer: -40*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**5*u**2 - 3098*s**3*u**3 + 588*s**2*u + s**2 + 12*u**3 wrt s.\nAnswer: -660*s**2*u**2 - 18588*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) 4 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3 = 4*a, -2*a + 6*a = 5*h - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -1451, 1 in descending order.\nAnswer: 1, -2, -9, -1451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9811.\nAnswer: 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d**2 + d + 11. Let f(j) = -4*j - 56. Let g be f(-18). Suppose -18*h + g*h + 28 = 0. Calculate the lowest common multiple of h and u(0).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**2 - 3. Let b(r) = 2793*r**2 + 694. Let l(q) = 2*b(q) + 10*f(q). What is the first derivative of l(o) wrt o?\nAnswer: 10952*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.142 - -5.542. Let m = -0.01 + -1.99. Sort -2\/11, m, d, 2\/15 in ascending order.\nAnswer: m, -2\/11, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2 + 24*t - 108 = 0. Calculate t.\nAnswer: 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -0.06 (c) 2\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/658784 and 71\/53284?\nAnswer: 7246624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-32)\/16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 61.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s + 2*y - 5, 0 = -4*s - 5*y + 32. Suppose 2*z - 68 = -4*o, -z - s*o + 23 = -11. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/((-2)\/(-6)). Let r be (1 - a)\/(6\/4). Let s = -0.21 - -0.11. Which is bigger: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 20. Let b = u - -7. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 12.4, -1\/7?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**2 + 7*o**2 - 2*o**2 + (1 - 1 + 3*o)*(2 + 3*o - 2))*(4 + 1 - 2) to s + y*o**2 + n*o and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + -13.5. Let b = -14.57065 + -0.43007. Let v = g - b. Round v to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 1848\/19 + 2\/19*y**2 - 278\/19*y = 0.\nAnswer: 7, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 2055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333 + -1?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 3*b**8\/56 + 3*b**4\/2 + 5*b. What is the third derivative of z(m) wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 971191 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*-1373.\nAnswer: 2883.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -4*p**5\/15 - p**4\/12 - 41*p**3\/6 - 61*p**2. What is the first derivative of i(h) wrt h?\nAnswer: -32*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 5, -3, 61.\nAnswer: -5, -3, 5, 6, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-3)\/1 - 4. Is 1\/22 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5316*i + 660 = 5327*i - 10665*i for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80627143411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-56)\/84)\/(-2 - -1 - 2). What is the second smallest value in f, -2\/7, 3, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5, -3.6, 6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/108)\/(2\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.5 (b) -4 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 + v - 1. Let n be z(1). Let m(u) = 3*u - 6. Let y be m(n). Suppose r - 2*r + y = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11368 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7976, 7979, 7992, 8021, 8072, 8151, 8264, 8417?\nAnswer: 8616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 574931809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t. Let x(c) = -1543548*c - 1. What is x(f(u))?\nAnswer: -16979028*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 26*p - 127. Let q be f(5). Suppose 0 = -2*o + 3*s + 44, -2*o + 39 = q*s - 29. Put o, 0.7, -3\/4 in descending order.\nAnswer: o, 0.7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -378?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbqbwzbzzqzbzzbzqwb. Give prob of sequence qqq.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 6:49 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21679986+-0.5\nAnswer: 21679985.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 41*d**2. Let s(v) = -6*v**2 + 4. Let b(j) = 8*j**2 - 5. Let t(q) = 2*q**2 + 8*q - 5. Let l be t(0). Let y(g) = l*s(g) - 4*b(g). Give y(n(z)).\nAnswer: -3362*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/30 - 2*n**4 + 119*n**3\/3 - 578*n**2\/3 + 3739*n. Find b, given that i(b) = 0.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {s: 1, m: 3, u: 6, l: 4}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 2, k: 6}. Give prob of sequence rk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623479561?\nAnswer: 23, 27107807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239\/(-301140)*105*12\/(-13).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 277967 < 1945771\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-9))\/((-4)\/18). Suppose f*n = -24 - 6. Calculate the common denominator of (1\/4)\/(n\/(-468)) and 3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*s**3 - 5857*l**3*s - 3*l**3 + 695*l**2*s**3 + 2*s**3 wrt s.\nAnswer: -6*l**3*s + 4170*l**2*s + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 2. Suppose 4*p - 55 + 19 = 0. Suppose -3*n + 0 = p. Let y be t(n). Is y < 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/323435 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wggggggwggggg. What is prob of picking 2 w?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(1 - 2)\/2. Let j be (1 + z)*1 - -2. Suppose -5*g - 4*v = -j*v - 1301, 2*g + 4*v = 530. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -82, -459 in decreasing order.\nAnswer: -4, -82, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f + 25*f)*(-4*f + f + 4*f).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28070 and -111.3?\nAnswer: -3124191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(1\/12))**(16\/3))**(-33) assuming q is positive.\nAnswer: q**(-1012\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1702.9 - -1702.77. Which is the second biggest value? (a) -2\/29 (b) m (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 326*r**5 - 92*r**5 - 155*r**5 + (3 - 2 - 3)*(-3*r**5 + 4*r**5 + 0*r**5).\nAnswer: 77*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4\/5 + 1\/5*n**3 + 0*n - 1\/5*n**5 - 7\/5*n**2 + 3\/5*n**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (13 - 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-362)\/(-4))\/(8\/176) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6520 is divided by 242?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - p - 2*p)*(-7*p + p - p + (p + 0*p + p)*(6 - 20 + 8)) - 4*p**2 - p**2 + 3*p**2 to q*p**2 + o + l*p and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.907933283 to one decimal place.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70.32 + -48.32. Which is the closest to -1\/6? (a) -2\/5 (b) 1 (c) 0.1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4)*-22*12. Suppose -2*v = -4*v - q. Let p = -42 - v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -16)*(-483)\/(-9). Suppose -4*l - r = -9*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2033*r**3*u + 22*r**3 - 84*r wrt u?\nAnswer: -2033*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*a - 1559 = 0, -925 = -3*t + 60*a - 56*a. Calculate the remainder when t is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 985 (b) -1 (c) -2\/13 (d) 3\/13 (e) 14 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338490407.\nAnswer: 29, 89, 313, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 23, 0.1, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13187, -13247, -13307, -13367, -13427?\n\"Answer: -60*i - 13127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -4, -1\/3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 - 193645*h**2 - 45614200*h - 45420560 = 0 for h.\nAnswer: -38492, -236, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i. Let s(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 + 1\/60*r**5 + 0 + 8*r**2. Give v(s(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3881538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457529.\nAnswer: 31, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**2 + 95*d + 18. Calculate g(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -29 (b) -1\/3 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w + 4*w. Suppose -4*d - 186 + 486 = w. 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: Let y = 17 + -4. Let s(m) = -m**2 + y - 5*m + 6*m + 7. Is s(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1700) + 3)**2.\nAnswer: 80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7975, -30607, -68325, -121129, -189019?\nAnswer: -271995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 - 48*o + 12. Let c be (1212\/(-45))\/(810\/(-243)) + 2\/(-25). What is k(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*w + 14896 = 0, -2*o - 2*w - 1251 = -8705. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 + 9) - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28091171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24725 - 12364 - 21*k**2 - 12354.\nAnswer: -21*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6ca2 (base 13) to base 8.\nAnswer: 2530606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - y**3 - 28*y**2 - 13*y**2 + 4*y**3.\nAnswer: 3*y**3 - 40*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 77, -4 in descending order.\nAnswer: 77, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3355*o**3 - o + o - 620*o**3 + 2687*o**3.\nAnswer: 5422*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 60877, 60875, 60873, 60871, 60869, 60867?\n\"Answer: -2*f + 60879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, 12.9, -78?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v**2 + v - 10. Let i be (-14)\/4*(-76)\/133. Suppose -i*c = 6*c + c. Determine r(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1694 - 17854 = -362*a. Solve -11*m - 76 = -a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -27*v - 5. Let x(c) = 40*c + 8. Let w = 1744 - 1749. Calculate w*x(h) - 8*j(h).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v**2 + 3*v - 14. Let y(u) = -21*u**2 - 7*u + 29. Let f(n) = 13*i(n) + 6*y(n). List the prime factors of f(5).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -120201?\nAnswer: 120214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**3 - 673*g**2 - 9202*g - 5261. Calculate l(181).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-16)*s\/(s\/s**(-6)) assuming s is positive.\nAnswer: s**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/3 + -2)*-3. Suppose -5*g = -4*b + 715 + 652, -f*b = 3*g - 1059. Suppose 4*v - b = 320. Round v to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 119\/(-35) + 4 + (-308)\/5 - 6. Let w be (0 + -21)*26\/(-6). Let f = w + c. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*l + 25, l + 5*w = 7 + 12. Let m be (3\/((-27)\/6))\/(4\/l). Let g(k) = 21*k. Give g(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 36, 30, 4, -48, -132?\n\"Answer: -v**3 - v**2 + 18*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -5 (c) 7 (d) 0.1 (e) -23 (f) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149776 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61595 = 9*t - 8072. Let q = t - -9846. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 480 - 476 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 2, k: 11, o: 1}. What is prob of picking 1 k and 1 o?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 7*m**2 - 5*m - 1. Let j be c(6). Suppose 5*l - 45 = -5*a, j*a + 2*l - 24 = 6. Solve -3 = -2*r + 5*i, -5*r + 0*i - a*i - 9 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 + -31. Let m = 115 - f. Is -7\/4 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/2*(14 - 16)*(-9 - -11822)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -13367\/6, 0.3, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/84)\/(15\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(-3*x**2 - 2*x**2 + 4*x**2) - 2*x**2 + 0*x**2 - 3*x**2)*(2*x**2 - x**2 - 3*x**2).\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 86\/((-17)\/(-192 + 22)).\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q**2 + q + 2464. Let u(d) = 43*d**2 + 1. Give v(u(s)).\nAnswer: -18490*s**4 - 817*s**2 + 2455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -900324 divided by -562.\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -1\/5, 2, -782?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10321 + 11?\nAnswer: -10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3*z - 4*z)*(0*z**2 + 2*z**2 - z**2).\nAnswer: -z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143\/55 + -1)*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 - t + 1. Let m be x(1). Let r(k) = 3*k - 9. What is the remainder when r(m) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/(((s\/(s\/((s*s\/(s**(-3\/2)*s))\/s)))\/s*s)\/s))\/s))**23*((s**(-4\/7)*s)\/s)**(-15) assuming s is positive.\nAnswer: s**(281\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 1. Suppose -2*d + 4*b = -4 - 16, -3*b = 9. What is the remainder when 97 is divided by m(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 9*b - 8. Give d(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*4\/32*-20. Let a = o + 109. Suppose 163 = 3*m + a. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*w + 20 = -p, -3*p - 17 = 2*w. Sort 1, 5, -1, 14, p in descending order.\nAnswer: 14, 5, 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from azaazfggfiaaifaii.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(9)\/sqrt(3) + -4 + sqrt(24)\/sqrt(128)) + -4*(0 + sqrt(192) + 1))**2.\nAnswer: -572*sqrt(3) + 62371\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6855860 divided by 124652\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 - 1. Let x be o(-1). Suppose -2*g = x*g - 224. Suppose 7*y = 3*y + g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 2. Let h(n) = 8*n - 3. Let v be h(c). Let w = v + 56. What is the common denominator of 36\/11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*q + 8739, -2*v - 532 + 4020 = 3*q. What are the prime factors of v?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1*-3 - (-31)\/1. Suppose -n + z = 5*s, -s + 2 - 3 = -2*n. Let m(k) = k + 10. Let u be m(0). What is the greatest common divisor of s and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 14 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o = 86*o - 360 + 48 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*b + 1047, 2*b - 2 = -10. Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 232*z - 2089. Let d be x(9). Let o(a) = a + 1. Let h(c) = -2*c + 2. Calculate d*o(p) + h(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, y: 1}. What is prob of picking 1 t and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8951*w**2 - 94*w + 61*w + 33*w.\nAnswer: -8951*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 265 + 344. Suppose -1 = 2*s - 5. Suppose s*t = t + 11. Solve 3*p - t = k + k, -5*p + 4*k = -v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/6358191 and -97\/119658.\nAnswer: 139880202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 + -7*(-4644)\/63. Solve -l*q + 6 = -500*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 4*u**3 - 6 + 1 - 6*u**3 - 1. Is x(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 6288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 51, 3, 2?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 31 - 13)*(-2*k**2 - 14*k**2 + 4*k**2 + 3*k).\nAnswer: 564*k**2 - 141*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 54*j**2 + 1. Suppose -3*q = 2*s - 7, -3 - 5 = 3*q - s. Is y(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14946938137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -785960 > -787123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.048, -3, 5, 37, -0.1, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391350 divided by -325?\nAnswer: -7358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 119*m**2 + 5*m + 15. List the prime factors of d(-4).\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d - 35. Suppose 5*l = d*l - 10. Suppose 0 = -2*p + p + l. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10014322040 (base 5) to base 8.\nAnswer: -45651331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*y**3 - 4*y**2 + y**2 + 11*y**3 + 2*y**2.\nAnswer: -52*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - h + 2*h - 53, 4*x - 2*h - 86 = 0. Suppose 4*c = 2*v + 778, 5*v + 0*v = -25. Calculate the greatest common divisor of x and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - d - 3 + 4 - 8*d.\nAnswer: -9*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 37*t**4 - 13*t**2 + 63*t. Let a(f) = 9*f**4 - 3*f**2 + 16*f. Let u(n) = -26*a(n) + 6*g(n). What is the second derivative of u(v) wrt v?\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/12 - (-6)\/8)\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -4*u + 146. Let z = u + -33. Let c = -7 + 10. Calculate the greatest common factor of c and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.134123839 from -5020.2.\nAnswer: -5020.065876161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34270228*o + 11695628.\nAnswer: 34270228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:02 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(448)) + sqrt(448))*-2.\nAnswer: -96*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let c(i) = -4*i**3 - 61*i + 67*i + 2*i**3. Suppose 5*f = -t - 28 + 86, -38 = -3*f + t. Calculate f*y(u) - 2*c(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-6 - -4) + -7 + -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456654.3 millilitres in litres?\nAnswer: 456.6543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 3583094.\nAnswer: -3583092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/6 of a day?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1*3 + sqrt(17) + -4 + -1)**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 1569\/2, -17 in decreasing order.\nAnswer: 1569\/2, -2\/17, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7700972067.\nAnswer: 3, 41, 181, 115303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**2 + 55 - 124 + 49 + 21.\nAnswer: -26*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/20)\/((-2)\/5). Let f = 3 - h. Solve p + 4 = -4*v, -2*v + f*v - 20 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127602 or 127595?\nAnswer: 127595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.97 - -0.67. Let s = d - -0.29931. What is s rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -7 - 7. Let u be ((16\/(-4))\/4)\/(1\/5). Let n = u + o. 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 remainder when 468 is divided by 71?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 468\/(-135) + (-88)\/(-24) - (-2 - (-2571)\/1155).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61529015 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -279 - (1 - (-42)\/(-6)). Let o = -263 - w. Solve 2*t = 2*c + o, 5*c - 1 - 14 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1814754516 or 1814754517?\nAnswer: 1814754517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1278*z = 1267*z + 48356. What are the prime factors of z?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820475 at most 2820703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*(-342)\/6. Suppose 4*k = 42 + t. Calculate the greatest common divisor of k and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 3*d - 2*d + (-d + 2*d + d)*(3 + 0 - 2) - 7*d - 7*d - 4*d + (-3 - 2 + 4)*(3*d + 1 - 1).\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**2 - 113*k + 104. Let r be a(-17). Solve -n = 2*u + r + 3, -3*n = -4*u - 25 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 15.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83093228 is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-10)*192\/(-2016).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 3. Suppose -i + 23 = -3*i + 5*a, -2*i - 14 = -2*a. Sort m, 2\/5, i in descending order.\nAnswer: m, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 48*s**2 - 215*s + 170. What is o(-43)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 82*q + 40*q**4 - 41*q**4 + 735*q**3 - 369*q**3 - 362*q**3 to the form d*q**3 + s*q**4 + k*q + f*q**2 + u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 1992, 29 in decreasing order.\nAnswer: 1992, 64, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 13400*l + 962500.\nAnswer: -5*(l - 2750)*(l + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4082, -0.07, -0.5, 5 in descending order.\nAnswer: 5, -0.07, -0.5, -4082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13736 by 4.\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155206? (a) 0.01 (b) 3 (c) 1.1 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2523697, -5047395, -7571091, -10094785, -12618477, -15142167?\nAnswer: -17665855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g + 4. Let w(j) = 2*j**3 - j**2 + 1. Let s be w(-1). Let q = 1 - s. Put g, -3, q in descending order.\nAnswer: q, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 530, 1177, 2060?\nAnswer: 3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4 - 2133*y**3 - 247887*y**2 - 232995*y + 1474650 = 0.\nAnswer: -565, -145, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20779, -81387, -181825, -322093?\n\"Answer: -19915*t**2 - 863*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3714170, -3714181, -3714192?\n\"Answer: -11*j - 3714159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 771497\/36 - 21428. Suppose -62 = 2*g - f, -4*g - 5*f - 22 - 116 = 0. Calculate the common denominator of ((-148)\/g)\/(5\/2) and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 11) to base 6.\nAnswer: -20234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ubuutugtuugtgubuuuu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/168 and -89\/2464?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 113?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 12:07 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 21*o - 80. Let k be q(-5). Suppose k*d = 112*d - 144. Solve 2*c + d = -2*c - 3*u, -4*u = -3*c + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*a - 14 = 0, 2*a = -t + 6*a - 16. Let b be 93\/18 + (-2)\/12. Sort b, t, 2, 0 in increasing order.\nAnswer: t, 0, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4579\/2644 - -12\/661. Let i(c) be the first derivative of -c + 0*c**3 - 6 - f*c**4 + 0*c**2. Find the first derivative of i(u) wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23011 - 141*d**4 - 23011)*(-1 + 0 - 4) + 8*d**4 + 7*d**4 - 5*d**4 to the form u*d + g*d**4 + t + n*d**2 + i*d**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = -4*y. Let i(m) = 21*m**2 - 1. Let d be i(-1). Suppose 4*h = -y + d. Solve -k - h*k + 19 = -2*c, -37 = -5*k - 4*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/57350 and -117\/100.\nAnswer: 114700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -23717\nAnswer: -4\/23717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.189999 + -0.19. Round c to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -601 + 1249. Let m = b - -267. Suppose w + m = 6*w - 5*c, -w + 163 = 4*c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4931, 10914, 16895, 22874, 28851, 34826, 40799?\n\"Answer: -d**2 + 5986*d - 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (0 + 20 - (-70 + 79))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (3*(sqrt(252) + 5 + sqrt(252) + (sqrt(252) - 2*sqrt(252)) + sqrt(252) + sqrt(252) + 5 + sqrt(252) + -3 + sqrt(252) + sqrt(252)))**2).\nAnswer: -410455 - 22680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.37 * 0.437.\nAnswer: 0.16169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**2 + 4*h - 1867?\nAnswer: -6*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 23 - 4 + 2 + 1 + 2 - 4 + 1 + (-2 - 2 + 3)*(7 - 4 - 1) - 6 + 5 + 5)*(4*w + 4 - 2 - 1) to o + n*w and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 578153171 to the power of 1\/3, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-445)\/24)\/((-1)\/(-2)) - 10*33\/(-3960).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*k**2 - 157*k**2 + 76*k**2 - 822*k.\nAnswer: -4*k**2 - 822*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**4 - 3*b**3 - 5*b - 3. Let a(m) = -6*m**4 - 5*m**3 - 10*m - 5. Let h(k) = 3*a(k) - 5*f(k). Find the second derivative of h(n) wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 z, and 1 a when four letters picked without replacement from {i: 4, a: 1, z: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 50 (b) -1 (c) -3\/4 (d) 0.6 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**29*p)**(-10)\/((p**(-21\/8)\/p)\/(p\/(p\/p**(2\/47)))) assuming p is positive.\nAnswer: p**(-111421\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -403.18714 + -0.01286. Let f = -445 - k. Let x = 43 + f. Round x to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 49. Let c be (g\/(-20))\/(-7) + 26\/8. Suppose 0 = -m - 4*t + 3*t + 94, -3*m = -c*t - 294. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203 + -1823387?\nAnswer: -1823184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -569 (b) -1 (c) -3\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-2 - 0) + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006043892 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + y - 181 = -4*y, 0 = -2*s - 2*y + 378. Let t = s - 30. What are the prime factors of t?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -63.9815. Round p to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 30305?\nAnswer: 121220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6024000 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -434 and -16?\nAnswer: 6944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-3*-3 + (-4*sqrt(3146))\/sqrt(2))**2 + 1.\nAnswer: 53249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 12 = -5*s, -n + s = -3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46891*p**3 - 46656?\nAnswer: -140673*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1786 - 1786 - 684*m**3)*(-1 - 2*m + 1).\nAnswer: 1368*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Calculate the smallest common multiple of 10 and v*((-3 - -3) + -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*z = g - 185*z + 170, -2*z + 115 = 7*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50485*s - 1734 = 50587*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*i + 1. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.8 - -2.2. Let o = -23 + a. Let y be (-5)\/4*(-1)\/(-5). Sort y, 3\/2, o.\nAnswer: y, o, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*r - 14415712 + 5889803 - 11384972 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -379 - -222. Let o = -156.6 - j. Let q be 1\/10*10\/(-4). Which is the third biggest value? (a) o (b) q (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.976 - 0.024. Let q = 21.000006 + u. What is q rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vem when three letters picked without replacement from {d: 3, v: 2, w: 6, e: 1, m: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 17*t**2 - 105*t**2 - 14*t**2.\nAnswer: 2*t**3 - 102*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 383307815 to the power of 1\/2, to the nearest integer?\nAnswer: 19578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqhqqqqqqqqqq. Give prob of picking 3 h.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/3688 and 1\/7?\nAnswer: 25816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 3*m + 12, k - 5*m - 14 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {a: 2, c: 8, b: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00551 to 4 decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*b\/(b*b*b\/(b\/(((b\/(((b*b\/(b\/(b\/b**(-2)))*b*b)\/b)\/b))\/b)\/b))*b))\/b)\/b)\/b**2*((b\/b**(-2\/7))\/b)\/(b\/(b**(2\/7)\/b)))**44 assuming b is positive.\nAnswer: b**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2)*-1 + sqrt(3) + ((sqrt(96) - sqrt(6)) + sqrt(6))\/sqrt(2) + 3*(sqrt(3) - (sqrt(3) + 1 + sqrt(3) + -4)) + -5.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by -3.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9417833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v**3 + 29*v**4 + 1 - 27*v**4 - 2*v**2 + 3*v**2 as i + a*v**3 + k*v + z*v**4 + m*v**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2668 and 1012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 7, -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**4 + 7117093*g**3 + 4*g + 293386?\nAnswer: -24*g**2 + 42702558*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*i - 193*i + 51 = -4*u, -5*i + 63 = -4*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 20\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-284094\nAnswer: -284093.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -172*w**2 - 303*w**2 - 16*w**2 - w**2 + 3*w**2 - w**2 - w**2 + w**2 + w**2 + (0*w**2 + 3*w**2 - 2*w**2)*(0 + 0 + 1).\nAnswer: -488*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 p, and 1 i when four letters picked without replacement from akuipppaupaumkikuauu.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2. Let u be h(-6). Let z(v) = -4*v + v**3 + 5*v + 7*v**2 - 8*v**2. Give z(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 238, 0.078, 2 in descending order.\nAnswer: 238, 4, 2, 0.078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 + 0*c**2 + 3*c**2)*(1 + 8 + 870*c + 9140*c - 5 + 3) to z + g*c**2 + p*c**3 + y*c and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 6 + 25*r**2 + 0*r**3 + 1\/12*r**4 + 0*r. Let o(v) = -53*v**2. Determine o(t(d)).\nAnswer: -212*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-88) + 3724\/(-209).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7 + 3 - 4*z + 0*z. Let g be n(-6). Let t(k) = -k**3 - 4*k**2 + 4*k + 5. Let c be t(-5). Calculate the highest common factor of c and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 17. Calculate f(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1479300 to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 17. Let k = -3.6245 - -16.62445. Let h = c + k. What is h rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/12*(-42)\/(-1). Suppose 4*m - 2*m - 4 = 0. Suppose -m*r = -0*r, 2*r = -5*s + 525. Calculate the greatest common factor of x and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 - 263. Let v = 45818868 + -45818944.000186. Let r = f - v. Round r to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 6*o**2 + 242578*o - 40025684 = 0.\nAnswer: -40594, 493\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*g + 87*g - 43*g**2 + 4 - 6 + 137*g**2 + 130*g**2 as a*g**2 + t + o*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*g - 164, 4*b + b + 3*g = -237. Let z be (-510)\/6*(-1 + 2). Let y = b - z. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = -65*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Suppose 4*s - f*s = 32. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 16. Let v be k(-7). Suppose 2*l = v*m + 10, 7*l - 2*l - 23 = 3*m. Let b(o) = -o + o - l*o**2 + 0*o**2. Let y(g) = 2*g**2. Give b(y(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -106 + 16. Let t = -13 + i. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58860 divided by 135\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 13*o**2 - 32*o - 31. Let k be f(-15). Is 67\/268 + k + 126\/8 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 12:19 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*g**4 - 468*g**3 + 570 wrt g?\nAnswer: -68*g**3 - 1404*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13410276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 13*i - 4041 = 6*j, 2*i = 2. Which is smaller: -676 or j?\nAnswer: -676","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.04 - 11. Which is the third biggest value? (a) u (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1 - (2746 - 2740)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 150839 and 21.\nAnswer: 3167619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 6042\/23, -0.115?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -13*t**3 + 29*t**2 - 18*t + 19. Let g(x) = -7*x**3 + 15*x**2 - 10*x + 10. Let b(q) = -11*g(q) + 6*z(q). Calculate b(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2 - 9*p - 3. Let v be 6 + 1 - (-6)\/(-2). Is 22 a factor of m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -11. What is the derivative of -z + 0*y**2 - 3*y**2 - y**2 + 11 wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361 (base 13) to base 7\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 12, r: 1, z: 1}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.55 in -1, 4\/9, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c**4 - 3*c**3 - 6*c**2 - 10*c - 4. Let y(q) = -8*q**4 + 4*q**3 + 6*q**2 + 10*q + 4. Let x(z) = -6*i(z) - 5*y(z). Factor x(k).\nAnswer: -2*(k - 2)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 30. Let o be t(4). Suppose 29*f = o*f + 2*w + 17, -2*f = -4*w - 22. Solve -i + 3*i = f*l - 2, 4*i + 2*l = 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23815?\nAnswer: 5, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -101\/2 (b) 3 (c) -3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 4*c. Let q be g(-3). Suppose q*z - 74 = -3*x - x, -5*x = 3*z - 94. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 5*r**4\/8 - 11*r**3\/6 + 6*r**2. Is q(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4)*k)\/(k\/(k**(-1)*k)))**(-17) assuming k is positive.\nAnswer: k**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 14) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 15c598c?\nAnswer: 15c598d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 2711268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 584*z**2 + 36318*z - 12478. What is r(-57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 13*f = 608. What is the second derivative of -f*h**2 + 3801*h**3 - h**4 - 114*h - 3801*h**3 wrt h?\nAnswer: -12*h**2 - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 738430, 738382, 738260, 738028, 737650, 737090?\n\"Answer: -6*c**3 - c**2 - 3*c + 738440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43777.\nAnswer: 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 10, -2\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -656*c**2*d**3*n**2 + 10*c**2*d**2*n**2 + c**2*n**2 + 4*d**2*n wrt d?\nAnswer: -3936*c**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/6)\/(5\/30).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 6. Let r be v(0). Let g be r\/5*10\/3. Suppose 0 = -c + 5, -g*o + 3*c = c - 82. Calculate the remainder when 67 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -13*v + 0*v - 13*v**2 + 29*v**2 - 27 - 13*v**2. Let j be 1*-16 - -4 - 5. Is u(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 98. Let k(r) = -2*r**2. What is w(k(t))?\nAnswer: 4*t**4 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s + s)*(-4*s + 7*s - 7*s) + 3 + 4*s**2 - 3*s**2 - 3*s**2.\nAnswer: -14*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c2 + 5?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 886489618 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 16782604?\nAnswer: 419565100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00353319231 rounded to six dps?\nAnswer: 0.003533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9*9\/2. Suppose 5*z - a - 33 = -5*a, 7 = y*z - 4*a. What is the lowest common multiple of z and -1 + (-6)\/(-8) - 130\/(-8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400.4724ml to litres.\nAnswer: 0.4004724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -30\/13*x**2 + 0*x + 0 - 2\/13*x**3 = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/10)\/(4032\/(-2240))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 1 + 0 - 4)*(4*i**4 - 3*i**4 + 0*i**4).\nAnswer: 6*i**5 - 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74909900 to the power of 1\/2, to the nearest integer?\nAnswer: 8655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5\/9 - 694*v**4\/9 + 261622*v**3\/9 + 3637672*v**2\/9 + 555264*v + 180224 = 0. What is v?\nAnswer: -352, -12, -1, -1\/2, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21428 (base 13) to base 14.\nAnswer: 17c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12916392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7481 - 8520976\/1139. Let m = 1\/67 - w. Let o = 1.6 - 2. What is the smallest value in o, m, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and 3.6.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 2, k: 2, h: 1, c: 1, y: 2}. What is prob of sequence yyc?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380 + 191 + 194 - 175*s.\nAnswer: -175*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0 - 3\/4*h**2 + h**3 - 1\/4*h**4 + 0*h = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b + 10?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3959378 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 100 = 109 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:14 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 6*c**2 - 2*c - 1. Let l be j(-6). Let s(x) = x**3 - 11*x**2 + 2*x. Is 11 a factor of s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*m + 2296874 = 2456810 - 10747856. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-5) + -1*3. Let r be 2 - k - 6\/(-1). Let o(n) = 6*n. Suppose 2*g + 13 = -3*c, 4*g - 2 - 22 = 4*c. Let z(s) = 4*s. Calculate c*o(a) + r*z(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 671501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v. Let m(z) = -z**3 + z + 24. Suppose 0 = -3*c - 2*c + 65. What is the remainder when m(v) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.053 - -2.947. Let h = 0 - 0. Which is the closest to h? (a) 0.1 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let u(l) = -l**3 + l**2 + 7. Let m be u(0). Let i = m - 2. Let h(d) = 2*d - i*d + 0*d + 11*d. Determine h(f(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -485, -714, -925, -1112?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591992*r + 597101*r - 3 + 3.\nAnswer: 5109*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 4*g, -28 = 3*z + 4*g. Let v(w) = -w**2 - 7*w + 5. Is 8 a factor of v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 7*a - 13. Let v be k(3). What is the units digit of (83*v)\/((-31)\/31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10 + 28 - 7 + 3*t. Let j be a(-5). Put 2, 0, j in decreasing order.\nAnswer: 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 969\/104 - 77\/8. What is the nearest to 1 in 0.1, r, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*i + 6 = 0, -i + 5*i = -2*m + 6. Suppose 0 = -m*h + 1005 - 318. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*f**5 + 36*f**3 + 332*f - 2?\nAnswer: -180*f**3 + 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/7)\/d*d)\/d*d*d)\/d**(1\/33)*d**19*d*d*d**22 assuming d is positive.\nAnswer: d**(10322\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 908633867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 135320*v**2 - 49653?\nAnswer: 270640*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 81494.59 meters?\nAnswer: 81.49459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 12*i - 7)*(-14*i + 6*i + 52*i)*(-4*i**2 + 0*i**2 + 6*i**2).\nAnswer: 1056*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -396 + 396.0158. Round d to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1655, 89, 945 in increasing order.\nAnswer: 89, 945, 1655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Is 16 a factor of (l - (-41 - -3)) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -668 = -666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - 516016456?\nAnswer: -516016413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 271983?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4971, 131, 3 in ascending order.\nAnswer: 3, 131, 4971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -102*m. Let y(f) = 27*f. Determine b(y(q)).\nAnswer: -2754*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/46)\/((-198)\/(-264)). What is the second smallest value in 4, o, 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + -85 + (-12 - -33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/14287, -51, -41, 4?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3038\/1050 + -3)*25\/(-10)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -361?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 l when four letters picked without replacement from uxuxll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllcltv. Give prob of sequence vc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 99\/9) + 21. Solve 0*d = -2*d - j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -923, -1867, -2821, -3779, -4735?\nAnswer: -5683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 67, 78, 89, 100?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*-3 + 4. Let j(u) = 2*u**2 + 0 - u - s + 0*u**2. Give j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -101*c + 1247. Is a(-34) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*u + 568, -4*u - 291 = -2*d - 51. What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*h - 8 + 2, 5*b + 3*h + 24 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 + 2*f + 688. Let z be m(0). Let y = z + -444. List the prime factors of y.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 8*g**2 - 16*g + 1. Suppose -4*k - 5*s + 32 = 0, 548*s = -5*k + 544*s + 31. Determine v(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/30)\/((-6)\/(-15)). Let r = -114 + 114. What is the nearest to -1\/4 in -2, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(13) + -2*sqrt(13)) + sqrt(13))**2 + sqrt(13) + (sqrt(52)\/sqrt(4)*1)**2 - ((-1*sqrt(156))\/sqrt(12) - (sqrt(52)*3)**2)) + -1.\nAnswer: 2*sqrt(13) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 564 + 969 = 0. Calculate the remainder when g is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104250931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m + 18. Let r(k) = 4*k - 9. Let u(d) = 5*r(d) + 2*x(d). Is u(7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/126*(-348)\/812.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497 = -10*w - 157. Calculate the remainder when w is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 2*n**2 + 4*n + 1. Let i be q(3). Suppose -p - v + 50 + 82 = 0, -5*v - 20 = 0. Let j = p + i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310775 to the power of 1\/2, to the nearest integer?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 275027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - h + 31 = 0, 3*m + 4*h - 7 - 9 = 0. Solve 4*r = 5*d - m, -r - 4*r - 15 = 4*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Suppose -f*s + 2*s = -8. Let z = -0.5 + 1.5. What is the second smallest value in -2, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.66907 millennia in months?\nAnswer: 944028.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6773*h**2 - 2677*h**2 - 3558*h**2.\nAnswer: 538*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-29)*x**(17\/4)*x*x)\/(x*(x\/x**(-16))\/x)**40 assuming x is positive.\nAnswer: x**(-2807\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9199\/1510 + 6\/755. Let p = 7 - 19. What is the common denominator of i and (56\/4)\/(p\/(-10))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(-1)\/((-15)\/(-6)). Let t = h - -5. Which is bigger: t or 2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 3*y + 5. Let p(k) = 4*k - 36. Let i be p(9). Suppose 8 = 4*u + x, 3*x - 10 = -i*u - 5*u. Suppose 6 = u*v, 5*a + 17 = v - 6. Give n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*b**4 - 124*b**4 + 3*b + b - 130*b**2 + 3*b**3 + 244*b**4 - b to the form g*b**3 + j + u*b**2 + x*b**4 + l*b and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121695 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24, 79, 236, 549, 1072, 1859, 2964, 4441?\n\"Answer: 9*v**3 - 3*v**2 + v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m. Let i(d) = 4*d - 2. Let a be i(2). Let v(r) = -3*r. Let c(w) = a*h(w) - 5*v(w). Let g(k) = -3*k + k**2 - 2*k + 5*k. Determine c(g(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/26622 and -13\/1904?\nAnswer: 1490832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 + 2*d + 52. Determine v(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3053 and 86.\nAnswer: 6106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3575398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f0d (base 16) to base 15.\nAnswer: -254e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f - 5. What is v(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 2311\/297?\nAnswer: 2311\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 5 = 2*f. Let w be f\/(38\/10 + -4). What is the tens digit of w\/10 - 129\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -18*v**3 - 39*v**2 - 39*v - 39. Let l(u) = u**3 + 2*u**2 + 2*u + 2. Give 6*c(g) + 117*l(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3833 divided by 6?\nAnswer: 3833\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 68*l**7 - 2*l**3\/3 + 138*l**2 + 38. What is the third derivative of p(o) wrt o?\nAnswer: 57120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*-1*(-2 + 3). Let t(g) = -2*g + 37. Is 37 a factor of t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-10.19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, and 2 h when four letters picked without replacement from ebeebbbbwhhbwbbb.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240228 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40232109.\nAnswer: 3, 103, 130201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 910 + -908. Let p = 13 - 13. Solve f + v*f - 6 = p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-30)\/702*50 + 2 and (-194)\/60 + 3*(-1 - 0)?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 + 8485*m**3 - 8486*m**3 + 16*m + 0*m**4 + m**4 - 3*m**4 - m**4 to w*m**2 + j + g*m**3 + r*m**4 + n*m and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 3, -9, 0, 2 in descending order.\nAnswer: 3, 2, 0, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.452 and 0.5.\nAnswer: 12.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355729 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197721 is divided by 2326?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121201 (base 3) to base 10.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (742 - 40*k - 742)*(1 + 2 - 5)*(0 + 0 + 4*k).\nAnswer: 320*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2137782 is divided by 113.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-20) + (-6)\/(-10). Let w = z - -12. Suppose -w = -4*v + 4. Calculate the remainder when 13 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -13*c - 18. Calculate the remainder when (-6 - 2)*(0 - 3) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -389733*q - 6*q**2 + 389733*q. Let j(p) = -p**2. What is x(j(o))?\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279 - 257. Suppose 0 = -o*l + 26*l - 76. Let j = 20 + -12. What is the remainder when l is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 21 + 1. Let p(g) = g**2 + 2*g - 3. Let j be p(d). Suppose 2*o - 445 = -j*v + 662, 3*v - 4*o - 659 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/13 - 18*l**2\/13 + 48*l\/13 - 40\/13.\nAnswer: 2*(l - 5)*(l - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o - 40. Let c be h(14). Suppose 3*y - 54 = -0*y. Calculate the greatest common divisor of y and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -18*o**3 - 24*o**2 + 16*o - 91. Is t(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123333222 (base 4) to base 11\nAnswer: 79172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2. Let l(s) = -s**2. Determine 35*l(h) - 6*w(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 132, 216, 298, 378?\n\"Answer: -k**2 + 87*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6976?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*30\/(-12) + -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by 76.\nAnswer: -31\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27188624987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*a - 2. What are the prime factors of (a\/6)\/(20\/180)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.917 and 8.2207.\nAnswer: 56.8625819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 542.5289 microseconds in milliseconds?\nAnswer: 0.5425289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -594630 to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arhm when four letters picked without replacement from {m: 2, h: 3, g: 4, a: 6, r: 1}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/60718 and -61\/112762.\nAnswer: 789334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-28) - 10\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -32, -44, -52, -56, -56?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 2 + 10 = 0. Suppose r + 3*w = 6*w + 13, -r - 4*w = u. Let n(q) = -4*q**3 + 7*q**2 + 18*q - 7. Let z be n(r). Round z to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167720769?\nAnswer: 3, 43, 47, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1260 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -7, -4\/3 in ascending order.\nAnswer: -13, -7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5\/13 - 46*t**4\/13 - 86*t**3\/13 - 42*t**2\/13.\nAnswer: -2*t**2*(t + 1)**2*(t + 21)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qmqmmrqqmqmrqq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1613\/2 + 8371\/10. Let z = c - 30. What is the third biggest value in 0.1, z, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmdjmfdwffss. Give prob of picking 1 j and 1 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -4241.7\nAnswer: -12725.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ermrrreelbra. What is prob of picking 1 r and 1 l?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-3)\/66 - (-2 + 2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.3 + -13.299849. Round z to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19098438 is divided by 3150.\nAnswer: 3138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 682773030*j**2 + 665876378*j.\nAnswer: 1365546060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 32*b. Let m(n) = 1835*n + 4. Calculate a(m(y)).\nAnswer: 58720*y + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129102876 divided by 108.\nAnswer: -1195397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 8*n - 9. Let q be s(6). Suppose -2*d = 4*c - 622, q*c + 5*d = 8*d + 462. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 11*n - p + 52, 2*n - 4*p = 62. Suppose 21 = 6*d - n. Solve 0 = -2*c - d + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:50 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 2 (b) -2\/251 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.33756 to 1 dp.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/4)*j\/(j**(-7)*j)*j\/j**(2\/9)*j*j\/(j*j*j**(1\/5)*j*j)*j\/(j*j**7)*j*j**4\/j*j\/j**(-5)*j**(-1\/6) assuming j is positive.\nAnswer: j**(1559\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + 5.7. Let u = b + -1.4. Let j = -2.2 + u. Which is greater: j or 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3 - 184*c**2 + 2684*c + 1872 = 0. What is c?\nAnswer: -2\/3, 26, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 13925*l.\nAnswer: -5*l*(l - 2785)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (64\/(-12720))\/(62\/(-5)). Let v = -13693\/3286 + b. What is the second biggest value in 0.4, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 5*n**2 + 1197 - 1197.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30377.\nAnswer: 37, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + 1.3. Let y = -1.7 + t. Is y not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*b - 16865, 5*r + 2*b + 3*b - 28110 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 3*h - 8. Let k(g) = -2*g**3 + 4*g + 7. What is -3*k(f) - 4*v(f)?\nAnswer: -2*f**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1906592\/7 + -18572231\/70. Let k = c + -7044. Let m = 5347\/6 - 879. Find the common denominator of k and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 6. What is the second derivative of -4*r**2 + 8*r + 2*r + 12*r**2 - j*r wrt r?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32216, 32219, 32224, 32231, 32240, 32251?\nAnswer: 32264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2269329*a + 2269367*a + 2546 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 528619\/52 + 15\/12. Suppose u - c = -3064. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/9 + 51098*z**4\/9 - 22708*z**3 + 306548*z**2\/9 - 204362*z\/9 + 17030\/3 = 0. Calculate z.\nAnswer: 1, 25545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303311 (base 5) to base 12.\nAnswer: -5833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(960)*-3)\/sqrt(3)*-4)**2 + (2*2*(sqrt(180) + sqrt(180) + 2 + sqrt(180)))**2.\nAnswer: 1152*sqrt(5) + 72062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3977*a**4*t - 9207*a**4 - 74253858*a**2*t - a*t wrt a.\nAnswer: 95448*a*t - 220968*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 10*x**2 + 2*x + 1. Let o = -92 + 90. Calculate k(o).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3596257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4771442777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2 + 4*k + 3. Let w = 25 + -21. Give m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = -4*l. Let s be 2*3\/(-24)*l. Let i = -32 - -32. What is the closest to s in i, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + 7*r**2 - 5*r**2 + (0 + 2*r + 0)*(r + r - 4*r) + 2*r**2 - 2 + 2 + 0*r**2 + r**2 + 0*r**2 - 75 + 5*r**2 + 118 - 3*r**2.\nAnswer: -2*r**2 + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 33*n**3 - n + 26*n**3 - 4 + 0*n. Let s be c(-2). Suppose -s = -27*x + 22*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q + 20. Suppose 0 = -i + q*y + 35, -i - 3*y - 123 = -4*i. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-931)\/1197*-72)\/((4\/3)\/(-2)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81995 and 1288205?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y\/((y\/y**(1\/17))\/y*y*y*y))\/y)*y*y**(-22)*y**(-1\/6)\/y**(-2\/37) assuming y is positive.\nAnswer: y**(-64805\/3774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52096249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 57?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*4 + 2)**2 + (-1 + sqrt(1300))*-2 + (1 + sqrt(1300) + -1 - (3 + sqrt(1300) + 1 + sqrt(1300))**2) + -4.\nAnswer: -10*sqrt(13) + 15586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/5 - 108*t**3\/5 + 1632*t**2\/5 - 4468*t\/5 - 1242 = 0. What is t?\nAnswer: -1, 5, 23, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.158 + -61. Let z = -0.1 + p. What is z rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52 - (-17568)\/336)\/(2\/(-28)))\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-6) - (8392723\/69)\/(-31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.2. Let i = h - -0.3. Let p = -12 - -17. What is the third biggest value in p, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6578 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12*h + 1. Let s be q(-7). Let d = 62 + s. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/13 - 7844*g**4\/13 - 2223576*g**3\/13 - 38334384*g**2\/13 - 226630656*g\/13 - 449888256\/13 = 0. What is g?\nAnswer: -3616, -288, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.45 - -46.45. Let v = 232\/3 + -78. What is the closest to 0 in -4\/5, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -58.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*h - 18*h - 1 + 5*h + 2*h + 52*h**2 wrt h.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -207, -566, -1075, -1734, -2543?\n\"Answer: -75*n**2 + 16*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 555*a. Let q be f(1). Suppose q = 4*u - l, -u + 2*l - l = -141. Let c = -134 + u. Solve 0 = -4*m + 4*w + 4 + 8, c*m + 3*w = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2376*w - 115*w - 132240 = -171*w for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbknkkbpbpbs. Give prob of sequence kbpp.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b + 147. Let u be t(-22). Let g = u + -320. Let s(k) = -k**2 - 7*k + 3. Let o be s(-4). Solve 0 = 4*w - 8, 0 = -5*f - 2*w - g*w - o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + c. Suppose 15 = 4*d + 3. Let p be k(d). Suppose 2*n - p = -n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l - 4. Let r(z) = 4*z + 2. Let u(i) = -6*g(i) - 14*r(i). Let t be u(-3). Is (-383)\/(-5) + t\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 139835424 and 2871895.\nAnswer: 142707319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 2 - 4) + -12. Let w = j + 16. Let g(z) = -4*z. Let i(o) = o. Let k(b) = w*i(b) + g(b). Let h(m) = 8*m. What is h(k(c))?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a654 - 3?\nAnswer: a651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7321*p**3 - 4*p**2 - 24*p - 4. Let g(r) = -7321*r**3 - 5*r**2 - 30*r - 5. Calculate 4*g(s) - 5*v(s).\nAnswer: 7321*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*(sqrt(132) + (sqrt(132)*6 - sqrt(132)))) + sqrt(132))\/sqrt(12).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 11460\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1126.6 + -1127. What is the closest to -4 in -1\/4, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35497 = 34*s - 17692 - 17737 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -363573924*c**2 - 9*c + 3716529?\nAnswer: -727147848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228416406 by 1.\nAnswer: -228416406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**2 + 1601*v - 1141. Determine m(176).\nAnswer: 1851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -69*g - 1. Let x be w(-3). What are the prime factors of (-2)\/10 - x\/(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001121 + -12?\nAnswer: -11001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + -3 + -2 + (6 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16541+0.01\nAnswer: 16541.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1860 divided by -2\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -13.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 9. Suppose -24*n + j*n = 0. Suppose -2*k - 2*z = 2*k - 8, n = 5*z. Solve 0 = 5*m - 3*o + 28, -2*m = -4*o + k + 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230901*g**3 - 491*g**4 - 230902*g**3 - 166*g**4)*(-g + 0*g + 0*g).\nAnswer: 657*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4148*c + 10189*c - 4410*c.\nAnswer: 1631*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x\/(x**(2\/5)\/x))))\/(x*x*x*x**(-1)*x*x*x)*(x\/x**0)**(-5\/17))**8 assuming x is positive.\nAnswer: x**(-1832\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*t + 390 = 3*t, -t = -5*n - 390. What is the smallest common multiple of 10 and (n\/52)\/((-1)\/(-2)) - -15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.72174 - 6.73. What is p rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32\/33 - 7\/11. Let h(w) be the third derivative of -r*w**3 + 0*w - 1\/24*w**4 + 0 + 1\/15*w**5 - 4*w**2. Determine h(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2. Let t be x(4). Let b be (180\/135)\/((8\/(-6))\/(-2)) + 66. What is the highest common factor of t and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 14. Let q be a(-4). Solve q*f - 6*f + f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 8046?\nAnswer: 8052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 410045 divided by 25?\nAnswer: 82009\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-10 - -2)\/(-2). Suppose 6*i = w*i + 12. Let v(u) = -u**3 + 7*u**2 + 2*u - 4 + 1 + u - 4*u**2. Give v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 412*d + 279. What are the prime factors of c(65)?\nAnswer: 35509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -7, 0.2, 21, -12, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 132*h**2 + 9*h + 6. Let s(a) = -134*a**2 - 10*a - 6. Let i(u) = 6*q(u) + 5*s(u). What is the second derivative of i(g) wrt g?\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 138*d + 1100. Let n be z(-8). Let i(y) be the second derivative of y**5\/20 + 5*y**4\/12 + y**3 + 3*y**2 - y. What is i(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, -48, -9, 2, 5, 0 in descending order.\nAnswer: 5, 2, 0, -2, -9, -30, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 5*y**8\/672 - y**7\/24 + 11*y**6\/180 - y**5\/30 + 2*y**3\/3 + 32*y + 35. Let r(s) be the third derivative of x(s). Factor r(n).\nAnswer: n*(n - 2)*(5*n - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 11.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 9 - 11. Let o be ((3 - 3 - 1) + 1)\/z. Solve l + 4*y - 4 = 0, 2*l + y + 6 = -o*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p + 7. Calculate o(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -113*q + 108*q. Suppose q = 2*a + 4*f + 21, -84 = -3*a - 4*f. Solve -5*k + n + 3 = a, 0 = 4*k - 5*n + 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b - 1. Suppose -7*s - 10 = -2*s + 5*l, -4*s + 17 = -l. Let o be 3\/s*2 + -3. Determine d(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(24\/(-16)))\/((-290380)\/72594 + 4).\nAnswer: 3, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(-1 + 1 - 2*c) - 3*c - 3 + 3)*(-15 + 10 + 22)*(0 + 4 - 3).\nAnswer: -85*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 30. Suppose 6*t - 22 - 68 = 0. Give k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 16 (c) -5\/4 (d) -93 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.02 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 1. Let r(w) = -15*w + 6. Let x(m) = 6*q(m) - r(m). Let n(v) = -2*v. Give x(n(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 611776668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**8\/112 - r**4\/12 - 2*r**2. What is the second derivative of v(f) wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 + n + 3*n**2 + 11*n**2. Calculate b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*r - 4*r + 5*r - 3*r + (-4 - 2 + 7)*(1 - 2*r - 1) + 4*r - 2*r - r + 2779 - 1473*r - 2779.\nAnswer: -1474*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 25*c**2 - 14*c**2.\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 5*h**2 - 5*h + 4. Let p be j(4). Solve p = -0*u - 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(17\/1020*-3*-4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 10*x\/11 + 8\/11.\nAnswer: 2*(x + 1)*(x + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -27. Suppose -5*s + 0*h + 36 = -h, 0 = -g*s - 3*h + 52. Solve 20 = 3*v - s*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 443 - 252. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 w when three letters picked without replacement from {y: 2, e: 1, p: 5, w: 7, z: 3}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 15 = 3*n - 37, -3*n - 4*a = -20. Let m be ((-1)\/n)\/(5\/(-60)). Solve 0*w - m*x = -4*w - 4, 0 = 3*x + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1104 and 11\/485024.\nAnswer: 1455072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -12.\nAnswer: -12, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54.00000015 - 54. Round d to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -24*u**2. Suppose 5*d + v - 272 = 2*v, -208 = -4*d - 4*v. Suppose d*j - 51*j = 27. Let z(f) = j*f**2 - 8*f**2 + 2*f**2. Calculate z(p(h)).\nAnswer: 1728*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 47. Let i be (0 + 3 - 0) + 13. Calculate the highest common divisor of d and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/(-24) - ((-2)\/(-4))\/(-1). Let y(n) = -4*n + 6. What is y(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4684 = -452. Let t = n + 9535\/9. What is the common denominator of t and 1 - ((-143)\/6 + (-1)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*c**3 + 73*c**3 + 2*c**2 - 23*c**3 + (2*c**2 + 2*c - 2*c)*(4 - 4 + 2*c) to p + h*c**2 + q*c**3 + o*c and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -157 in -0.5, 7, 21, 0.4, 5\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6039*n**3 - 1264*n**2 - 25796166*n wrt n.\nAnswer: 36234*n - 2528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(2\/13)\/r)\/r)\/r**(-1\/11))**(-1\/10))**(-50) assuming r is positive.\nAnswer: r**(-1255\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 = -3*i - 443 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxu. What is prob of sequence xzu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640666289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -312 - -324.7. Let a = 2.61 - w. Let j = a + 2.85. What is j rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2406979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 14*r**2 + 14*r + 21. Let v be s(15). Suppose -u + 2 + v = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2993, -5691, -8077, -10151, -11913, -13363?\n\"Answer: 156*t**2 - 3166*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 27*h + 513. Calculate the remainder when 3237 is divided by d(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 159726599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 533180*w - 7996800.\nAnswer: -4*(w + 15)*(w + 133280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - -2. What is the highest common divisor of d and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338655?\nAnswer: 3, 5, 107, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-7)\/2 + 2). Suppose -r*c + 5*c = 6. Suppose -2*i + 214 = 2*k, -218 = -c*k - 3*i - i. Is 35 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -377?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 10*g**3\/3 + g - 24. Determine t(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(468) - (1 + sqrt(468))) - ((sqrt(468) - ((2*sqrt(468) - sqrt(468)) + sqrt(468)))*2 + sqrt(468) - sqrt(468)))**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1777 + 110?\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -43243*i + 43231*i + 120, -5*i - 104 = -2*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414*q*z**3 - 145*q*z**2 + 5*q*z + 3*z**3 wrt z.\nAnswer: 2484*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 23*y**2 + 271*y - 71. Determine i(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 8*g + 2*o + 902, -g - 4*o + 441 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.07, 5, -3 in decreasing order.\nAnswer: 5, 0.07, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Let n(p) = -6*p. Let c(g) = -g. Let r(v) = 8*c(v) - n(v). Give r(t(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6233960 + 1324715. Let l = 2869245 + p. Round l to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 35 - 5*d)*(5*d + 13 - 4 - 6*d) in the form v*d + k + r*d**2 and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2 - 9 + 0 + j. Let d be p(8). Which is greater: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {f: 2, p: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -2*z**7\/21 + 4*z**4\/3 - 18*z**2. What is the second derivative of w(k) wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79020 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23117*0.4.\nAnswer: 9246.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 821*u**3 - 6*u**2 - 65*u.\nAnswer: 4926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**6\/360 + b**5\/15 + 11*b**4\/24 + 6*b**3 - 9. Let h(f) be the third derivative of j(f). What is the units digit of h(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19296 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 677931*v + 379516 with respect to v.\nAnswer: 677931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:44 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {l: 1, b: 3, d: 11}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -90497.\nAnswer: -17\/90497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 177*m**2. Let f(x) = 5*x + 3. Let g(c) = -14*c - 8. Let k(p) = 8*f(p) + 3*g(p). Give w(k(n)).\nAnswer: 708*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15193242?\nAnswer: 2, 3, 844069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 12 - 12. Let n be (d\/(-6))\/(-4 + 0 - -1). Let o be (-85)\/(-20) - ((-9)\/(-12))\/3. Solve 5*j + 4*p + 3 + n = 0, 3*p = o*j + 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 3:57 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 878135558 to the power of 1\/2, to the nearest integer?\nAnswer: 29633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-56)\/(-6))\/(-6 - 160\/(-24)). Suppose 4*d + 620 = x*d. Calculate the remainder when d is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (636\/72)\/(2\/21)*(-10)\/35?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 0.5, 1.4, 0.063, -1, 3\/13, -3?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/12 - 3*2\/(-4). Let u be ((-36)\/15)\/(o\/95). Suppose v - u - 12 = 0. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - 2) + -62 + 60.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 486.999996859 - 487. Round w to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -12316062?\nAnswer: 12316046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 12:15 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 8*c**2 + 14*c + 67. Let g(b) = b**3 - 3*b**2 - 5*b - 22. Let s(p) = 11*g(p) + 4*q(p). Let x be s(0). Suppose 2*n = n + x. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 546\/(-56) - (6 + 0).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3937164508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1006 - 791.7. Let n = z + -215. Is -1\/4 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Let w = 12.89 + 0.11. Let g = -8 + w. Which is the second smallest value? (a) g (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 z when four letters picked without replacement from zyzyzyyyzyzy?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11279 to 3 decimal places.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66335675, 66335662, 66335657, 66335666, 66335695?\nAnswer: 66335750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 4*n, 2*p + n + 16 = -3*n. Let l(a) = -a + 0*a - 2*a - 3. Let x be l(-2). Put x, -1, p in descending order.\nAnswer: x, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439184.\nAnswer: 2, 27449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*r**2 - 15*r**3 + 5*r**3 - 5*r**3 wrt r?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2. Let o(z) = -3*z**3 - 51*z**2 + 3*z + 30. Let c(i) = 21*g(i) + o(i). Determine d so that c(d) = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b + 3. Suppose -b*a = -234 - 206. Suppose -8*m + 4*m = -a. Calculate the highest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - o - 90. Let s = o + 38. Which is the second biggest value? (a) -0.4 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -5*b - 4*f, -522 + 569 = 3*b + 5*f for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - -6*(sqrt(10) + -1*sqrt(10))) + sqrt(10) + sqrt(10))\/sqrt(2).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5925872381.\nAnswer: 11, 13, 37, 811, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -90*d**3 - 2*d**2 + 4*d. Let i be u(-3). What is i rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 732\/11, 35, -0.1 in increasing order.\nAnswer: -0.1, 35, 732\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903684.9 months to decades.\nAnswer: 7530.7075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6172309 to the power of 1\/2, to the nearest integer?\nAnswer: 2484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3143 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212 + 332. Let d be (3\/(-2))\/((-45)\/l). Suppose d*c = 6*c - 14. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.7 + 9. Let p = h - 12. Let w = 1 - 6. What is the fourth biggest value in w, -0.5, p, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 - 240 = -4*i. Let y = -61 + 70. Suppose 0 = 4*h - y*h + i. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + j - 3 + 11, -3677*o + 15*j = -3673*o - 68 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1524 - 1520) + (0 + 0 + 0 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 890\/(-14)*(-12250)\/8750?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 44570808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -11*y + 1. Let h(l) = -13*l + 2. Determine 2*h(w) - 3*z(w).\nAnswer: 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 973 + -532. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102533 is divided by 518.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:12 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = -3*p. Suppose 2*d = p, 4*n + 0*d = -4*d + 92. Let t = 36 - n. What is the remainder when 29 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4428 = -7*c. Let k = -1118524 - c. Round k to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4960 by -274872.\nAnswer: 620\/34359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062090429254 plus 136?\nAnswer: 135.937909570746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -8*l**6\/27 + 16*l**5\/15 + 25*l**4\/3 - 32*l**3\/27 - 38*l**2\/3 - 8*l - 143. Solve k(z) = 0.\nAnswer: -3, -1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5. Let g be f(0). Suppose -a + g*k = a + 45, -a + 3*k = 25. Let h be (-4)\/a - 13\/(-5). Solve -3*t - j = -20, -2*t - 3*t + h*j + 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 11555540440.\nAnswer: 11555540441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**3 - 13*i**2 - 36*i - 220. What is the thousands digit of t(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + o)*(-1 - 1 + 3) + 7*o + 4*o - 14*o + 10*o + 8*o + 6*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.5 - -1.5. Suppose -2*i - 143 = -3*q, -214 = -4*q - i - i. Let p = q + -53. Which is the smallest value? (a) 2 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:14 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15035961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 2 (c) 2\/3 (d) 401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + a - 5*a)*(-238*a - 28 - 235*a + 484*a).\nAnswer: -121*a**2 + 308*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3651 - 505 - 31 - 663 + 3460)*(13 - 13 + 2*h).\nAnswer: 11824*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 66\/(-21))\/(208\/(-56)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -48*z + 222. What are the prime factors of d(-25)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 - 162 - (-1 - -27)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-12)\/4)\/(-3). Suppose -2*s = -4, -s - 2899 = -3*i + 8289. Suppose g*y + y = -3*m + 5577, i = 2*m - 4*y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875619.6 months in decades?\nAnswer: 7296.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348.9187 millilitres to litres.\nAnswer: 0.3489187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182849175 by -60949725.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -5, 25 in ascending order.\nAnswer: -5, 1, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let y be (-2 - 6) + 2 + -19 + 10 + 13. Let h(j) = 10*j**2. Let d(p) = -p**2. Give u*h(t) + y*d(t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/380 + (-54)\/(-56).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-10 - (7 - 7)) - -6. Suppose -2*d - 5*y = 2*d - 65, d + 3*y = 18. Put -2\/5, d, 5, p in descending order.\nAnswer: d, 5, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y - 11. Let d(l) = -l**3 + 6*l**2 + 6*l + 6. Give d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 - 85. Let a = h - 18. What is the remainder when 77 is divided by (-6)\/(-14) - ((-1452)\/a - 5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 3*s - 9. Let h(d) = -2*d**2 - 4*d - 9. Give -5*h(v) + 6*y(v).\nAnswer: -2*v**2 + 2*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -10) + -6 + 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38419 - 2690*z**2 - 3329*z**2 - 1683*z**2 - 38419 to the form r*z**2 + v + g*z and give r.\nAnswer: -7702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {t: 5, s: 1, p: 4, h: 1}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1474517507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 1. Let j be k(-1). Suppose 0*y - 2*y = j. Calculate the remainder when 32 is divided by 22\/(3 - 1 - y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 1. Let x be -1 + 2\/(-1) + 10\/90*18. Let m = -4 - -9. Let u(z) = -2 + 5 - z**2 + z - m*z. Determine x*u(s) + 2*p(s).\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 42 - 24 = -526 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 1884 - 1908. What is the greatest common divisor of 15 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*x + 677 - 681 = 0, 6 = 2*t - 3*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 - n**2\/2 + 1508*n - 104. List the prime factors of m(0).\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4 - 29. Suppose -r*s + a - 4*a = 2, -2*a - 6 = s. Suppose 2*w = -x + 5*w - s, 14 = 2*x + 3*w. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w - 3. Let t = -10 + 7. Let r be (-38)\/12 + t\/(-18). Determine q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/(-8) + (-2)\/8. Let r be (3\/2 + 0)*122. Suppose -b*x = -49 - r. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m*s**2 + 371*m*s + 2*m - 941*s**2 - 2 wrt m.\nAnswer: 4*s**2 + 371*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 5*x + 7. Let t be a(-6). Let c be (3 - 0)\/t*1. Let w(l) = l**2 + l - 4. What is w(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -234*c + 221*c + 24570. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*w = 10, 5*w = y + 9*w - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 4*(-2*sqrt(66) + sqrt(66) + sqrt(66))) + (sqrt(66) - 2*sqrt(66))*1)\/(-3*-4*sqrt(48)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11882 = -11*l + 207*l + 261*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14867743 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 3*y - 1425 + 1416, 4*i + 11 = -y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 - 2450\/11. Let y(t) = t**2 - 34*t - 3. Let r(x) = -5*x**2 + 34. Let z be r(0). Let n be y(z). Is n < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2980 (base 15) to base 14\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*k - 21. Solve 0*f = -4*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12083572 - 42434428. Round m to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -452933 or -452932?\nAnswer: -452932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 1, d: 1, b: 2, h: 4, c: 3}. Give prob of sequence hcd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267031?\nAnswer: 71, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g = 12. Let x be 2 + (-1 + -1 - (g - 10)). Let m be -1 - (x + (0 - 8)). Solve p = -p + m*b + 21, -p = b + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+5462953\nAnswer: 5462952.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 445 - 443. Let l(y) = -5*y + 6. Let x(t) = -2*t + 2. Let r(f) = -6*l(f) + 17*x(f). What is r(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 193122224 and 4516.\nAnswer: 4516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and 0.2152.\nAnswer: 6.6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(-1\/7))**(11\/2)\/((b**(-1\/8)*b*b**(1\/5)*b)\/(b**6*b*b**(-2\/13)\/b)) assuming b is positive.\nAnswer: b**(7221\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2\/5 (b) 0.4 (c) 3 (d) 2\/557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - 4*t**2 + 6*t - 1325. Let d(b) = 5*b**3 + 10*b**2 - 14*b + 2651. Give -7*c(v) - 3*d(v).\nAnswer: -v**3 - 2*v**2 + 1322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*z**3\/7 - 76*z**2\/7 - 488*z\/7 - 32.\nAnswer: 4*(z - 14)*(z + 4)*(2*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**2 - 5*s + 4. Let a be 8\/2*(-3)\/(-4). Suppose 0 = -c - 4*c - 5, -2*p = 5*c - a. Let t be h(p). Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110.81 - 8476.\nAnswer: -8586.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*t - 15, -2*j = t - 19 + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*n + 2*n - 2*f, 0 = -2*n - 2*f + 10. Let d be n\/(-8)*18\/(-3). Suppose 0*l + 4*y + 8 = -4*l, -12 = l + d*y. Solve 0*o + 6 = -l*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62237897 + -18795808351\/302. Let k = 121 - q. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785169660 divided by -3568953?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2234.695 and -93.\nAnswer: 207826.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -6 in increasing order.\nAnswer: -6, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 3*y - 3*y**3)*(2*y + 0 + 0)*(-11 - 24 - 2) as p*y**3 + f*y**2 + j*y + i*y**4 + b and give i.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2 minus 12.932?\nAnswer: -17.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1020 + 1434?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -48. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 12. Let a(n) = n**2 + n - 2. Let b be a(2). Suppose 0 = -d - 3*k + 8, k - 1 - 3 = 0. Put c, d, b in ascending order.\nAnswer: d, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 162170, 1 in descending order.\nAnswer: 162170, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 14*f**2 - 40*f - 221. Determine d(-14).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*((-2)\/(-2))\/1. Let u(g) be the third derivative of -g**5\/60 + 3*g**4\/8 - g**3\/6 - 2*g**2. Calculate the remainder when 37 is divided by u(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28337989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 574*t - 569*t - 172, -r - t + 156 = 0. Let c(b) = -b**3 + 4*b**2 + 6*b - 1. What is the smallest common multiple of c(5) and r?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 21063610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/(sqrt(10) - (sqrt(10)*3 - sqrt(10) - sqrt(10)) - sqrt(10)) + -3*sqrt(78)\/sqrt(2) + sqrt(39))\/((5*1*sqrt(432) - sqrt(432))*-6) + 0.\nAnswer: sqrt(13)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlssasasda. Give prob of picking 2 a and 1 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m = -7*m + 310 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 73 + -6*6\/(-9). What are the prime factors of 22\/s + 383\/7?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(4*sqrt(112) + -3)*5*-6)**2.\nAnswer: -19440000*sqrt(7) + 364702500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101110 (base 2) to base 13\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 1\/10 (c) 198\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4204)\/10 + (-110)\/(-25) + -5. Let l = u - -441. Calculate the smallest common multiple of 384 and l.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1608 and 2187282.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*p**2 - 447*p + 12182?\nAnswer: -22*p - 447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 200*f**2*m**3 - 13*f**2*m**2 - 807*f**2 - 3*f wrt m?\nAnswer: 600*f**2*m**2 - 26*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3\/8 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3 + 3 + (2 - 2*x - 2)*(1 + 11 - 6))*(4*x - x - 2*x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-7\/3))\/d)\/((d\/d**(6\/13))\/d))**(-7\/10) assuming d is positive.\nAnswer: d**(-763\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35954600 divided by -76175\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5562 and 2549868.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -28*s**6\/3 - 4*s**5\/5 + 84*s**4 - 424*s**3\/3 + 68*s**2 + 12*s + 27. Find x, given that n(x) = 0.\nAnswer: -3, -1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653366657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g - 110. Let c be h(13). Sort -4, -2, c, -5 in increasing order.\nAnswer: c, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/54)\/(((-15)\/(-27))\/(35\/14)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 130.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231338.6 days to microseconds.\nAnswer: 19987655040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 1. Let z = 884.6 - 885.6. Sort n, z, 7, 2 in ascending order.\nAnswer: n, z, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, -8, 0, 8, 5, 9 in descending order.\nAnswer: 9, 8, 5, 0, -8, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((-5)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601.8664 kilometers to centimeters.\nAnswer: 60186640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5*u)*(4 - 2 - 4)*(168*u**3 - 2*u**3 + 8*u**3).\nAnswer: 1740*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2104202348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*i + 167*i + 300*i + 5328*i**3.\nAnswer: 5328*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 498, -29, 4 in ascending order.\nAnswer: -29, 4, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10.52 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299797355 and 109017220.\nAnswer: 1199189420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/11*w**2 - 14\/11*w**3 + 0*w - 10\/11*w**4 = 0 for w.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1939 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*r = 8, 0 = -3*v - 5*r + 125948 - 125909 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -11. Let k = y + 24. Let g = 53 + -26. Calculate the highest common divisor of g and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 7*b**4 + 2*b + (b**2 - 8*b**2 - 9*b**2)*(-2 + 2 + b**2).\nAnswer: -23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)*w*w)**(-47)\/(w**(2\/3))**(-13) assuming w is positive.\nAnswer: w**(-883\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/22)\/(63\/((-4851)\/(-28))).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 22 = -5*v, -5*u = -v + 5 + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -70404, 0.4, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 11, o: 2, f: 1}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (168\/80 - (-6)\/(-10))*2. Suppose 3*l + 5*x + 12 = x, -9 = -l + d*x. Suppose -o + 3*o - 2 = l. Put -4, o, 8 in ascending order.\nAnswer: -4, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**3 + d**2 - 6*d - 5. Let g(i) = 42*i**3 + 3*i**2 - 17*i - 14. Determine 17*a(c) - 6*g(c).\nAnswer: -14*c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23637 - -8844073?\nAnswer: 8867710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 13*f - 10. Let p be g(-14). Let c be (-33)\/44 + (-1)\/p. Let v(u) = u - 1. Let t(m) = 1 - 4*m - 4 + 7. Give c*t(d) - 3*v(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -1, -4\/9, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 5:48 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 257710.9kg in nanograms?\nAnswer: 257710900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 7*v**3 + 79*v**2 + 190*v + 48 = 0.\nAnswer: -8, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4\/5, 1086, 0, 2\/13 in descending order.\nAnswer: 1086, 4\/5, 1\/4, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 3. Let h(v) = -2*v + 2. Let j(x) = 3*b(x) + 4*h(x). Let k(t) be the third derivative of -t**4\/24 + t**3\/6 - 7*t**2. Calculate j(q) - k(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88082.76km to centimeters.\nAnswer: 8808276000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 152 - 148. Calculate the least common multiple of 15 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/6*(-36)\/(-48)*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*h + a, -3*h + 155*a - 158*a + 36 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -20. Let c(f) = 2*f - 11. Let h be c(j). Suppose -4*o + h = -21. Solve o = 5*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 4*w**2\/3.\nAnswer: -2*w**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4320.692 milligrams to tonnes.\nAnswer: 0.000004320692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 3*h + 27. Suppose -q = -h*w - 392, -5*w - 95 = 3*q + 549. Let k = -45 - w. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3326198 = -6*j - 2*w, 0 = 5*j - 5*w - 8315505. What is j rounded to the nearest 10000?\nAnswer: 1660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051073 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 2531481*n - 6408396053361.\nAnswer: -(n - 5062962)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 0.05, 8, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44629 + 367158 = 23*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 506, 524, 548, 584, 638, 716, 824?\n\"Answer: a**3 - 3*a**2 + 20*a + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)\/(k*k**9))**(-24\/7) assuming k is positive.\nAnswer: k**(704\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 4*i - i)*(-6 + 1 + 6)*(-5*i + 5*i - 4*i**3).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 12 = -32*v + 186 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + w = 0, -8*w + 9 = q - 9*w. Sort -5, -3, 22, 4, q in decreasing order.\nAnswer: 22, 4, q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3*5\/225*(-1185)\/(-6) and 85\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m - 3. Let f(u) = 6*u + 4. Let z(v) = 3*f(v) + 4*n(v). Let y(q) = q. Suppose -w = 409 - 439. Give w*y(b) + 4*z(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*w**(1\/4)))*w)**9\/(w**5*w**(-3\/7)) assuming w is positive.\nAnswer: w**(691\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.126, 5, -3?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-6*-3*(-2*sqrt(432) + sqrt(432) + 2 + sqrt(432))*2)**2 + -5).\nAnswer: -5179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 17. Find the second derivative of 0*m**4 + t*m**4 - 3*m**4 + m**4 - 4*m wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 37, -13, -2, -58, -189 in ascending order.\nAnswer: -189, -58, -13, -4, -2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/6 - 11*v**3\/3 + 6*v**2 + 2*v. Let p be l(11). Let q = p - 35. Are q and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(1\/2)\/u*u)\/u)\/u*u**(-6)\/u*(u*u\/u**(-2\/11)*u*u)\/u**2*((u**(-2\/5))**(5\/12))**(1\/7) assuming u is positive.\nAnswer: u**(-1234\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 13*i**2 - 5*i + 3. Give q(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -311, -2479, -8391, -19919, -38935, -67311, -106919?\n\"Answer: -312*b**3 + 16*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.43 + -4.063. Let q = t - 0.067. What is the closest to 2\/13 in 2, 3, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -2\/3, 513\/2, 65 in decreasing order.\nAnswer: 513\/2, 65, -2\/3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 12:35 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 2.\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/28 and 95\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, x: 2, k: 1, i: 2}. What is prob of picking 1 c, 1 w, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/750*-30*3\/4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006126 to 6 decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p - 5. Let x(n) = 2*n - 38. Suppose -6*w + 59 = -37. Let j be x(w). Let l(z) = z - 1. Calculate j*l(v) + s(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*i + 1, 4*x + x = 5. Let p = -0.8 - 2.2. Let u = -170 + 1357\/8. Which is the closest to i? (a) p (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - s - 7 = 0, 9*s = k + 5*s + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -x + 5*c, -x - 67*c = -68*c - 239. Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 59976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - h + 2*h - 70*h**2 - h + 13*h**2.\nAnswer: -57*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*i - 10. Let o = 6 - 6. Let j = o - -5. Calculate the remainder when i is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvfvbpfofeovofffof. What is prob of sequence po?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 12*x**2 + 88*x - 150. Calculate k(17).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -25*b**2. Let n(i) be the second derivative of 2*i**3 - 597*i. Determine n(z(d)).\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(108) + 1 + 3 - (sqrt(363)*2 + 0 + -5).\nAnswer: -40*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -51. Suppose 5 = 4*i - l, 3*r - i - 276 = 0. Let t = r - 60. What is the smallest common multiple of t and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 112022020020220?\nAnswer: -112022020020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/16 and 95\/676.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41463 + 111505?\nAnswer: 40012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3247 take away 18584957927?\nAnswer: -18584961174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - 130\/(-6). Suppose 0 = -6*c + c - 50. Let l = s + c. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*k**4 - 184*k + 1?\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-41)\/((7 + -9)\/28). Suppose q = -x + 629. Does x = 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k. Let w(r) = 42*r**2 - 17*r. Let b(z) = -34*z**2 + 60*z**2 + 3*z - 33*z**2. Let j(c) = 34*b(c) + 6*w(c). What is j(f(m))?\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4. Let q = 8 + -8. Let i = 4 - 7. Put i, a, q in ascending order.\nAnswer: i, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-4)\/(-4) - (-4)\/(-7). Let w(a) be the second derivative of 4\/5*a**6 + 0 - 2\/3*a**4 - 1\/3*a**3 + 0*a**2 - d*a**7 + 1\/5*a**5 - 3*a. Factor w(r).\nAnswer: -2*r*(r - 1)**2*(3*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5654 (base 7) in base 3?\nAnswer: 2210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -11. Let g = 6.8 + y. What is the smallest value in 0.5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.05. Let u = 1.1 + -1.05. Let o = r + u. Which is smaller: 2\/41 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (-15 - (35 - (31 - -74)))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = -2*u + 16, -8 = -p + 4*u. Let k = -4 + p. Which is greater: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.39 > -14.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*z - 9 = -159*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/15 + a**4\/4 + 19*a**3\/6 + a**2. Let q(d) = 3*d**2 - 4*d - 13. Let g = 535022 - 535015. Determine g*q(l) + 5*b(l).\nAnswer: l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61, 118, 153, 154, 109, 6, -167?\n\"Answer: -2*u**3 + u**2 + 68*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2662 and -0.3.\nAnswer: -798.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -0.009901473465.\nAnswer: 0.390098526535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/9, 0, 367, -2, -3, 194 in descending order.\nAnswer: 367, 194, 0, -5\/9, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*178238\/2 + -2. Let r = 12879 - k. Round r to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 6*a + 10. Let i(d) = 3*d + 14*d**2 - 17 + 9*d**3 + 2*d**a - 8*d**3. Is i(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + r - 3)*(r**2 - 5*r**2 + 3*r**2 + (0 + 0 - 2*r**2)*(-1 - 2 + 6)).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.3678169 - -43.55781. Let a = 80.19 - 81. Let g = t - a. What is g rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 7*u**2 - 10*u - 9 + 0*u**2 + u. Let i(d) = d**2 + d + 1. Let b(p) = 18*i(p) + 2*t(p). Let l(w) = -10*w. Give l(b(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*u + 28. Let o be 2\/u - 154\/(-49). Solve c = -o*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = -15*l + 9*u - 22, -l = 3*u - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + 3.4. Let x = -1089 - -1088.7. Which is the closest to 1? (a) x (b) d (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 302, 724, 1336, 2150, 3178?\nAnswer: 4432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.84 + 4. Let h = 0.34 + m. What is the smallest value in -2\/5, -2\/3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-336)*7*-2)\/((-84)\/(-21))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(8) + sqrt(98)*3 + sqrt(2).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -13*c - 1 - 1\/6*c**4 + 0*c**2 + 0*c**3. Let o(y) = 29*y. Calculate o(r(i)).\nAnswer: -58*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -1, 5, -274, 1 in decreasing order.\nAnswer: 34, 5, 1, -1, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**4 - v**2 - 2*v. Let q(c) = 5*c**4 - 15*c**3 + 8*c**2 + 8*c. Let m(g) = 2*f(g) + q(g). What is the third derivative of m(d) wrt d?\nAnswer: 72*d - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2288*m**2*q**4 - 15*m**2*q**2 + 3*m**2 - 3*q**5 - 2*q**2 wrt q.\nAnswer: -54912*m**2*q - 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2535 (base 8) to base 12.\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -w - 3, -324*w + 322*w + 29*a + 3 - 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*w = 0, 3*b = 2*b + 5*w - 12. Solve -12 = h - b*h + m, -5*h = -m - 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 137905 + 41089. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011724554 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109272?\nAnswer: 2, 313, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7100?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, 4\/3, 53.7, -53 in increasing order.\nAnswer: -53, 0.5, 4\/3, 5, 53.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/856196 and -59\/580?\nAnswer: 4280980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -122 + 612\/5. Sort y, -0.5, -1.3 in ascending order.\nAnswer: -1.3, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i + 6. Let k = i + 5. List the prime factors of (k - 0)*(7 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89278, -89277, -89276?\n\"Answer: g - 89279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4799*j**2 + 9894*j**2 - 5095*j**2 - 151*j**3 - 312*j**3 + 121*j**3.\nAnswer: -342*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 10*j**2 - 6*j - 5. Let g(x) = -6*x**3 - 10*x**2 + 7*x + 7. Give -3*g(a) - 4*v(a).\nAnswer: -2*a**3 - 10*a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/3978 and -101\/2106.\nAnswer: 35802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3 + sqrt(1573) + 1)*5 + 2 + sqrt(1573) + 1*sqrt(1573)*-2 + sqrt(1573))**2.\nAnswer: -199045 - 12100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 317\/3 + -105. Let x be 2\/10*(-5)\/4. Let j = -0.4 - 0.1. What is the nearest to t in 4, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3631?\nAnswer: 6\/3631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c**5 + 6488*c**4 - 12952*c**3 - 12*c**2 + 12958*c - 6476 = 0 for c.\nAnswer: -1, 1, 3238\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 7*a - 6*a - 19, 5*a - 3*f = 26. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10702 is divided by 1769?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5457165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from daaa?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = 10. Let t = -8 - -31. Let h = t + a. Solve -5*u = -4*v + 2*v - h, v = 4*u - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -7 - (-4 + -2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-nine quarters of a micrometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from {w: 2, x: 3, c: 1, j: 1, v: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 592 divided by 377\nAnswer: 592\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -85.9\nAnswer: -8.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*m**3 + 13*m**3 - 8*m**3 + (4*m + m - 3*m)*(-3*m**2 + 0*m**2 + 5*m**2) + 4*m**3 - 5*m**2 + 5*m**2 - 3*m**3 - m**3 + 6*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77699964?\nAnswer: 2, 3, 349, 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + o**2)*(-34*o**2 - 2*o**3 + 33*o**2 - 7*o**3) + (7*o**4 + 133*o**3 - 133*o**3)*(-5 + 0 + 4 - 2*o).\nAnswer: -23*o**5 - 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395510?\nAnswer: 2, 5, 39551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2394 - 574. Let a = 1863.885 - s. Let v = a - 44. What is v rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2758800 = 15*n. Suppose m - 12*m - n = 0. Round m to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*g + 2*u, 7*g + u + 2 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29607926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/8 + 137*c**2\/8 - 5871*c\/8 + 74727\/8.\nAnswer: -(c - 57)**2*(c - 23)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/20*5 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*k = -35, -3*k + 8*k + 35 = 2*b. Solve -4*u + b*u + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -5511a6?\nAnswer: 5511a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1103320, -1103314, -1103306, -1103296, -1103284, -1103270?\nAnswer: -1103254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2592\/(-15))\/9)\/(126\/(-280))*27\/18?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 7*t - 2*t - 66, -r = -5*t + 24. Let n = -10 - r. Suppose -87 = -5*b - x, -b + 41 = -5*x + 8. Solve 17 = -g + n*k, -3*k + b = -g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/18)\/(2\/12). Let f = u + 9. Let a = -3 + f. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22088310*f - 10500992.\nAnswer: -22088310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - 68b3?\nAnswer: -689a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1109\/7 + 158. Let w = 1 - 0. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 604115 + -181945. Round o to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 2. Let n be q(0). Sort 4, n, 1 in decreasing order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*y**3 + 204*y**3 - 110*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 40 = 5*k, 0 = 6366*v - 6369*v + k - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*l - 9 - 11, -z = -l - 8. Suppose -2 = 4*p - z. What is the third derivative of 7*m**2 - p*m**2 + 5*m**6 - 6*m**2 wrt m?\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 826 and 0.3.\nAnswer: 247.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77648 and 471796?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*l - 2*k + 71, 65 = 3*l + 2*k. Let x(z) = z**2. Let h be x(2). Solve t - l = 5*d, h*t - 5*d - 8 = 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 26 = -m, 0 = -3*x - 4*m + 5*m + 19. Suppose 0 = -x*p + 1143 - 296. What is the greatest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -52*z**2 - 2. Let j(b) = -3*b**2. Give j(a(o)).\nAnswer: -8112*o**4 - 624*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -27.99 <= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -34*h**2. Let j(b) = -5*b**2 + 3. Let q(o) = 6*o**2 - 4. Let c(l) = 4*j(l) + 3*q(l). Calculate c(n(i)).\nAnswer: -2312*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 15*o + 19. Give s(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1214936\/7 smaller than -173561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41486692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (62\/713)\/(3\/((-345)\/(-10)))*(-14)\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -9\/4, 98?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 4 + 15927*a + 4.\nAnswer: 3*a**3 + 15927*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 19. Let n = 48 + -48. What is v(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10 and 110\/(-6) + (-8)\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {c: 1, v: 1, b: 1, h: 2, p: 1, w: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/638146 and 5\/68.\nAnswer: 1276292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 3) + -6 + 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 216*l - 11876. Let u be s(55). Solve 81*z = 3*o + 86*z + 11, -5*o - u*z = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4, 2*r + 3*x - 13 = -33. Let d = r - -7. Solve 0 = d*a + a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hppjpqpqp. What is prob of picking 1 h, 1 j, and 1 p?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-8 + 119\/14). Let f(c) = -1. Let q(g) = 2*g - 2. Calculate h*q(z) - 3*f(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -4. Suppose 0*u = 2*m + u - 7, 0 = -m - 5*u + c. Calculate the common denominator of -57\/7 and 97\/3*m\/(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 73*i**2 + 23*i - 99. Suppose x + 2 - 6 = -r, 2*x = 4*r - 16. Is 43 a factor of o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6124 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21 = 5*v, 0*c - 2*c = -4. Let w = 5 - v. Let o(a) = 2*a**2 - a**w - 3*a**2. Let l(r) = 2*r. Give o(l(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2296 - 0.0024. Let v = s - -0.332. Which is the nearest to -1\/17? (a) 2 (b) v (c) -2 (d) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-109 + 2241)*(-2)\/(4\/(-3))?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1740\/31 equal to -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(2\/5)\/(15*(-1740)\/(-250)).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l - 6*l + 7*l)*(0 + 3 - 1 - 2 + 0 + 3 + (0 + 1 - 2)*(1 - 5 + 2) - 1 + 0 + 2)*(-l - 6*l - l) as h*l**2 + s*l + p and give h.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -604*l**3 + 6*l + 613*l**3 - l - l + l - 2*l**3 + (2*l - 2*l - l**2)*(3*l + 1 - 1) + l**3 + l**3 - 3*l**3.\nAnswer: 3*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -21*h + 7. Let j(k) = -63*k**3 - 17*k - 11. Let n(b) = 21*b**3 + 6*b + 4. Calculate h*j(c) + 11*n(c).\nAnswer: -21*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let y(t) = t**2 - t + 8. What is the units digit of y(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, -368?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*l = 1768, -2*o + 866 = -3*l + l. Let j(x) = 148*x + 150*x + 144*x - o*x. Let u(h) = -11*h**2. What is u(j(b))?\nAnswer: -275*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (54 - (-54 + -41)) + -84\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-35)\/(-7434))\/(430\/(-172)))\/(3\/(-36)*2)?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 63, 135, 235, 363?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/40*15\/(-8)*(-40)\/(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 10, -7, -38, -89, -166, -275?\n\"Answer: -h**3 + 2*h**2 - 8*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11*r + 47 = -9*r, 5*z = -4*r + 79. Suppose -99 + 29 = -5*f. Suppose -f*v + z*v = 1561. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(171) + 1 + -2)*-3.\nAnswer: -45*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -19268.\nAnswer: -19\/9634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 78*p**3 - 81*p**2.\nAnswer: 3*p**2*(p - 27)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*m**3 + 181*m**3 - 445*m**3 + 3 - 3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312496 or -312635?\nAnswer: -312635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*f - 4*y - 0*y, 5*f = 3*y + 150. Suppose 6 = -j - j, f = 4*w + j. Calculate the least common multiple of w and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1186 divide 27206840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 take away -3.4?\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 - 19\/(-2). Suppose 116 = 62*s - 61*s. Suppose s - 44 = 8*z. Calculate the greatest common factor of z and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/922104 and -8\/8145?\nAnswer: 834504120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 341\/18851 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12072400 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d. Let q(j) = -4*j + j + d*j + 4*j**3 + 3 - 7*j**2. Let h(x) = -3*x**3 + 5*x**2 + 2*x - 2. Suppose -176 = -2*u - 190. Determine u*h(c) - 5*q(c).\nAnswer: c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 130950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/4 + p**2\/4 - 17*p\/2 + 14 = 0. What is p?\nAnswer: -7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 18, 23, 24, 21, 14?\n\"Answer: -2*a**2 + 15*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4444 divided by -1111\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, 70, 1, 6, 2 in ascending order.\nAnswer: -1, 1, 2, 6, 17, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = t. Let w(s) = 29*s - 6. Let g be w(t). What is the greatest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16693151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 10:46 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = 0, -n - 13 = 5*p - 5. Suppose z = -3*i - 5, -3*i - 2*z = 2*i + 10. Suppose -g + 1 + 2 = i. Solve 3*a = -g*l + 21, -3*a + 4*l = -a - n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234426, -937702, -2109830, -3750810, -5860642, -8439326?\nAnswer: -11486862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241 - -249. Solve -3*f + 6*f = -4*z - d, 5*z = 2*f - 33 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 56*k - 34 = 61*k, 3*k + 15 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010110011 - 11000010001101100?\nAnswer: -10101101110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 4592 (c) 0.4 (d) -2\/1007 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-14))\/((-342)\/(-4788))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 557597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*a + 775 = 76*a - 1136 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24821244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 1280028?\nAnswer: -1280015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -305400040 (base 6) to base 10\nAnswer: -5303256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 - 212*o + 215. Suppose 8*a + 126 = 110. Let v(c) = -21*c**2 + 846*c - 861. Let u(q) = a*v(q) - 9*w(q). Factor u(l).\nAnswer: -3*(l - 71)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299 divided by -13\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189278291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1253, -1829, -2403, -2975?\n\"Answer: i**2 - 579*i - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 6. Let i(y) = y**2 - 14*y + 17. Calculate 3*i(n) + 8*x(n).\nAnswer: 3*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 + n + 4. Let w be p(0). Suppose -w*i = -0*i. Suppose i = 3*t - 1 - 5. Solve 3*o - o = t*j + 4, -9 = -3*o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 37\/2*j**2 + 0 + 0*j**4 + 0*j**3 + 41*j - 13\/10*j**5. What is the derivative of v(l) wrt l?\nAnswer: -78*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1. Let g(j) = 5*j - 18. Let o(a) = -g(a) + 2*y(a). Let t be o(5). Sort 0, t, 3.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/60 + 5*a**4\/24 - a**3\/2 - 2*a**2. Let q be y(-5). Let p = 0.8 + -1.1. What is the smallest value in p, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (0 - 15\/3). Suppose -4*w = -2*v - h*w, 4*v + w = 0. Let p(n) = -n**2 - 11*n - 19. Let q be p(-3). Solve v = 5*t + q - 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/229311, -2\/5, 1, 0.3.\nAnswer: -2\/5, 4\/229311, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 4196 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5714, -5715, -5716, -5717, -5718?\nAnswer: -5719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -25. Let p = z + -7. Suppose -32 = -2*n - p*n. What is the lowest common multiple of 18 and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 3. Let m = 12 + -10. Let r(b) = -331 + b**m + 331. Give v(r(i)).\nAnswer: -i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2145*j*p**5 - 125*j*p**2 + 130*j*p - 3*p**5 + p**2 wrt p?\nAnswer: -128700*j*p**2 - 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:03 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*s**2 - 25*s**3 - 18*s**3 - 4*s + 42*s**3 + 23 - 30 to the form r*s**3 + l*s + a*s**2 + f and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 12:55 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 27*j)*(-2 + 2 - 1).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 789.674976 to the nearest integer.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5538*g**4 + 2777*g - 1645*g - 6043*g - 7087*g wrt g.\nAnswer: 66456*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15*c + 10. Let y be q(8). Let l = -906\/7 + y. Determine w so that -2\/7*w**2 + 0 - l*w = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3361168 and 25310.\nAnswer: 16805840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/686*-14*280.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1202 divide 41882488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-80)\/(-30) - 0)\/(6\/2007)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:37 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 30 = n. Suppose v - 2 = n. List the prime factors of v\/(28\/64) + -2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/210 and -139\/8730.\nAnswer: 61110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -2 + (-15360272)\/1316. Let f = r + 11674. Let l = f - -17008\/1645. Find the common denominator of l and -16\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3086 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:39 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*z**3 - 65*z**2 + 7*z - 40.\nAnswer: 72*z - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32697 by -173.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - (-1 + 1)) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14261 + 14272. Let y(h) = 4*h + 11. Let r(n) = -20*n - 56. Give f*y(d) + 2*r(d).\nAnswer: 4*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 5. Let l(r) = -r**2 + 15*r - 29. Calculate the remainder when l(10) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64261 and 10411.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 10) to base 15.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**2 - 10*l + 10. Let w(a) = 10*a - 1 - 6*a - 2*a - a - a**2. What is -22*w(h) - 2*y(h)?\nAnswer: -2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1022648 and 11?\nAnswer: 1022648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -43*n + 913. Let o(k) = 9*k - 1. Calculate 5*o(w) + p(w).\nAnswer: 2*w + 908","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/4)\/o))\/o*o**(2\/15)*o*o**(-4\/11)*o**(1\/4) assuming o is positive.\nAnswer: o**(749\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**10*p**(-10)*p*(p*p\/(p\/p**10*p))\/((p\/(p\/p**16))\/p) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 978a0c (base 13) to base 15\nAnswer: 4a50e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 + 10*j**2 + 10*j - 8. Let d(c) = -c**2 - c + 1. Determine -10*d(v) - m(v).\nAnswer: -4*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 557*m - 1101*m + 574*m.\nAnswer: -3*m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*x + 19. Suppose -27 - x = -f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95404 and 20876?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-35) + 46\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37257421.\nAnswer: 17, 139, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + q + 14. Let i(f) = 17*f - 15. Let h be i(1). Suppose 5*r + 10 = -5*c, -3*r = h*c - 2*r + 2. What is b(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271499590.\nAnswer: 2, 5, 23, 619, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -189*d. Let p(u) be the first derivative of 5*u**3 - 2433. Give o(p(h)).\nAnswer: -2835*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*d**2 + 673*d**2 + 672*d**2 - 2025*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422 divided by 4.\nAnswer: 211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/8)*f*(((f\/(f**(-9)*f))\/f)\/f)\/f)\/(f**(2\/3)*f**(-4)) assuming f is positive.\nAnswer: f**(275\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 - 4*x**2 + 51. Let m be r(0). Solve -m*y = -53*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19934448 and 885?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0 (c) -0.09 (d) -0.7 (e) -2\/35 (f) 0.305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -943 - 11 = -38*w + 548 - 96 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - g + 82 = 27, 4*y + 5*g - 221 = 0. Calculate the remainder when y is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -200010302?\nAnswer: 200010233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -255233354 (base 6) to base 7\nAnswer: -60414322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18457186 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401765080 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16337\/4 or 4083?\nAnswer: 16337\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5719, 1140, -1 in descending order.\nAnswer: 1140, -1, -5719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**4\/9 + 31616*h**3\/9 - 41627728*h**2\/3 - 499912192*h\/9 - 500038688\/9 = 0.\nAnswer: -2, 7906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 3*k**6\/5 + k**5\/30 + 4*k**4\/3 + 308*k**2. What is the third derivative of d(f) wrt f?\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m = -2*s - 2210, -3*m - 4*s - 1660 = 0. Let h = -238 - m. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -4*d**4\/7 + 4*d**3\/3 + 4*d**2\/7 + 82. Let i(x) = 0. What is x?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-9 - (4 + -7)) + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(176) + sqrt(1331) + 1 + (1*sqrt(275) + -1)**2 + (1 + sqrt(275))**2 + 2.\nAnswer: 15*sqrt(11) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -4 (c) 0.5 (d) 369\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*u - 1)*(-u - 4 + 4) + (-8 + 4 + 2 + 5*u)*(0 + 0 + 3*u).\nAnswer: 12*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 352642 - 107908295\/306. What is the common denominator of 87\/14 and g?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 2649.\nAnswer: 10596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-243)\/(-135))\/(2 + (-194)\/100). Let q be 6\/4*(1 + 1). Suppose -131 = -q*h - 2*j - 6, 5*j = -25. What is the highest common divisor of h and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -4*d**3\/3 + 584. Let n(f) = -52*f**2. Give n(g(y)).\nAnswer: -832*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 3539008*y - 782786101504.\nAnswer: -4*(y - 442376)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600783 is divided by 15810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23960 divided by -113\nAnswer: -23960\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18405, -73605, -165603, -294399, -459993?\nAnswer: -662385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3188*y + 812*y - 166419 = 1616*y + 67*y for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d**2 + 18*d**2 - 6*d**2 - 4*d**2. Let c(f) = -5*f**2. What is h(c(b))?\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/61 (b) 2\/9 (c) -1713 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(1\/(-2)). Suppose 3*k + 3 + 6 = -3*q, -4*q - 19 = -f*k. Is (8\/(-24))\/(k\/(-2307)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 12:57 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4057\/8102 - 3\/4051. Let v = 0.02 - -1.98. Let w = -0.06 - 0.34. What is the nearest to v in w, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*m - 29*m + 2. Solve 2*i + 2 = i - m*o, 0 = i + 4*o + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from attbtahabat. What is prob of sequence bba?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (120\/5 - 12) + (-4 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 3, -5, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - a. Suppose 4 = o + 1. Let f(p) = -7*p**3 + 0*p**2 - 7*p - p**o + 0*p**2. Let c(d) = d**2 - 4*d - 7. Let j be c(5). Give j*f(k) + 14*s(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1294, 2792, 4490, 6364, 8390, 10544?\nAnswer: 12802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 56801030 to the nearest ten thousand.\nAnswer: 56800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6294.144 to 1 dp.\nAnswer: 6294.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102135, 204606, 307077?\nAnswer: 409548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -22*i + 1\/2*i**3 + 0 - 1\/30*i**6 + 0*i**5 + 0*i**4 + 0*i**2. What is the second derivative of r(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 9. Let c be v(-9). Suppose -c = -6*n + 3*n. Let d = n + 0. Solve -2*h + d*p = -0*h + 23, 0 = h + 2*p - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*q + 18 = 0, 6*q - 1198 = -2*w - 1174 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245237.94 rounded to the nearest one hundred?\nAnswer: 1245200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 4468 + 10418 + 4223 - 1320 + 9*s**2 - 10*s**2.\nAnswer: -s**2 - 2*s + 17789","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 175*t - 4864. What is s(141)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84635 + (-15 - -9)*2\/3. Suppose 36*r - 9293 - i = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*r**2 + 5*r**4 - 14*r**2 - 12*r**2 wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 15*u + 87. Let w(a) = a**3 - 3*a - 2. What is the smallest common multiple of w(3) and o(-19)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 474.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1628, -3265, -4900, -6533, -8164, -9793?\n\"Answer: n**2 - 1640*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -39*11\/143*(-38)\/(-3)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20969*q - 8500 = -20869*q for q.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + 90. Suppose -2*v = 3*c - 115, r = 4*c - 5*v + 38. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-8))\/(2*5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 183960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 + -1766\/17. What is the third smallest value in 0.1, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124642 is divided by 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*d + 43, -3*x + 0*x = -5*d + 95. Suppose 5*m + 3*t - 78 = 0, 0 = -6*m + 8*m + t - 32. Calculate the lowest common multiple of d and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {g: 1, n: 3, s: 2, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11060 - 447*w**3 - 7*w**2 + 2*w**2 - 5*w - 254*w**3 + 11059. Does 14 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56297010 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 31092 - 30748. Calculate the greatest common factor of k and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qemm when four letters picked without replacement from {e: 1, q: 1, m: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/13, 89, 5\/7, 4, 20?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -17 - 3. Suppose -7*t + 1200 = 1186. Calculate the remainder when s is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 5, 1, 31 in decreasing order.\nAnswer: 67, 31, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1bd?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239 - 236. Suppose v = c - 4, n*c - c + v = 11. Put -2\/13, 4\/9, -0.2, c in increasing order.\nAnswer: -0.2, -2\/13, 4\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 greater than 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354272 and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 5*l**2 - l - 7. Let u be b(-5). Let g = u + 0. Let s(z) = z - 9. Let f be s(7). Does g = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 - -115. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-134)\/6)\/(4\/(-18)). Suppose -4*d + 3*u = -4, -3*d - 2*u = -0*u - 3. Calculate the remainder when (z\/(-6) + d)*2 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2)*(4*o**2 - 6*o**2 + 3*o**2) - 11*o**2 + 10*o**2 - 21*o**2 - 20*o**2 - 17*o**2 + 7*o**2)*(-o + 2*o + o).\nAnswer: -108*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wffwwfwfwwwwwwwwww. Give prob of picking 1 w and 3 f.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/10 (b) 139 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 1110\nAnswer: 14\/555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:04 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -13\/10, 6, 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 4, -54 in decreasing order.\nAnswer: 4, 3, 1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**4 + 132*n**3*t - 2*n**3 - 210*n**2*t + 9*n*t wrt n.\nAnswer: -72*n + 792*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3730636 by -932659.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 12*n + 7. Let k be i(-13). Let z(r) = r + 8. Calculate z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/840 and 19\/18144.\nAnswer: 90720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + 73705*s. Let g(c) = -c. What is g(x(d))?\nAnswer: -5*d**2 - 73705*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/5))**23*u**(-4\/5)*u*u**(-2\/7)\/u)**(-4\/29))**(-23) assuming u is positive.\nAnswer: u**(-6624\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17490244449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 93. Let z(o) = -o**2 + 17*o + 2. Is z(c) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1088))*6*3)**2.\nAnswer: -10368*sqrt(17) + 353808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Let q be 20\/(-15)*(i - 1). Does 12 divide (30\/q)\/(3\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -60. Let g(q) = -q - 12. Let l(z) = -5*g(z) + n(z). Let r(o) = 361*o. Give r(l(f)).\nAnswer: 1805*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(432))**2.\nAnswer: 3886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/112)\/((-31)\/62).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71692, 143390, 215112, 286864, 358652?\nAnswer: 430482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6351.398 decades to centuries.\nAnswer: 635.1398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19466 * 3.\nAnswer: -58398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 567*z. Let n(q) = 502758*q. Calculate u(n(d)).\nAnswer: 285063786*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.52 * -0.4\nAnswer: -2.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50609.\nAnswer: 13, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*k - k - 15, -4*k = -o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 11 - 7 = -4*i, 4*f = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n + 546 = 6*n + 378 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -40 (b) 3 (c) 36 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 42. Suppose 12*k + 42 + 73 = 79. Sort k, 17, w, 5 in decreasing order.\nAnswer: 17, 5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = z, 5*z - 44*r - 7 = 30*r - 71*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/3 (b) -4\/5 (c) -1\/2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12\/73 (b) -0.2 (c) 4 (d) 0 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1313*p - 47399. Calculate k(36).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, z: 7, k: 5}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -1, 26, -5, 13, -142, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = 2*t - 9, -5*t - 5*o + 35 = 0. Suppose 0 = 4*z + 3*f - 34 - 1, 3*z + t*f = 25. Let y(j) = -j**2 + 6*j - 1. Give y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/5))**(-1\/21) assuming n is positive.\nAnswer: n**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -19*u**3 + u + 1. Let f(n) = 3*n**3 - 1. Let k(c) = -6*f(c) - v(c). Let y(p) = -2*p + 3*p + 0 + 0. What is k(r) + y(r)?\nAnswer: r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.24 + 0.24. Let w = -482566 - -482563.00009. Let v = w - i. Round v to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/7 - (360\/(-1015) - (-26)\/377). Sort o, 6, -1, -9, -4 in descending order.\nAnswer: 6, o, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) + 1844\/(-36). Let d = 50 + v. Let i be d*(4 + -2) + (6 - 2). Solve i*w - 1 = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:15 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11*q + 4. Let c(v) = -32*v - 12. Let p(l) = 6*c(l) + 17*y(l). Let t = -147 - -157. What is the least common multiple of t and p(-4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188182253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 16*l - 255. Let j(s) = 17*s - 279. Let p(v) = -10*j(v) + 11*q(v). Give p(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 14 + 66 - 29.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1181759*g**2 + 10*g + 6938?\nAnswer: 2363518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = -3*l, -2*n = -7*n - 5*l - 20. Suppose u - 2 = -n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3042414222 - 0?\nAnswer: 3042414222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2)\/(-3 + 6). Suppose 0 = -7*g + 2*g + 15. Solve h = -3*o - 0 - g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/7 - 312*k**2\/7 + 116918*k\/7 + 353508\/7 = 0.\nAnswer: -331, -3, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**7\/5040 - l**6\/720 + l**5\/20 + 6*l**2. Let n(w) be the third derivative of a(w). Give n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333550157, -667100312, -1000650467, -1334200622, -1667750777, -2001300932?\nAnswer: -2334851087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5862833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2104558 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*m - 2*m. Let i = 0.08 - 0.18. Which is the closest to -4? (a) -0.5 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -29, -12?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93.79841 - -93.8. Round r to five decimal places.\nAnswer: 0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhyhhdyydd. What is prob of picking 1 h and 1 d?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by ((-21)\/4)\/((-90)\/80)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*p*p\/(p\/(p**0\/p*p*p))*(p**3)**23)**(-12) assuming p is positive.\nAnswer: p**(-768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1488 - 25404 = -12*p. List the prime factors of p.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.03, 0, -101?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*q - 34*q - 4 + 4 - 5 + 1 - 11*q.\nAnswer: 14*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27\/161 - -6\/23. Suppose 3*t + 7 = 5*o + 2, 3*o = t + 3. Let n be ((-2)\/(-4))\/(0 + -2). Which is the nearest to 0.1? (a) n (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 199 - 159 = -2*l, -2*l + 403 = -5*t. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (6 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h - 4 = 0. Let i = -2 + h. Let c = 0 - i. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or 143565?\nAnswer: 143565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 8. Let y be f(-6). Find the second derivative of -4*b + 5*b**2 + 5*b - y*b wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 25 in increasing order.\nAnswer: -5, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -15*h**3 - 174*h**2 + 21*h + 11. Calculate the remainder when b(-12) is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2, s: 2, q: 3, k: 2, u: 2}. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 5428*k**2 + 126872*k + 121440.\nAnswer: -4*(k - 1380)*(k + 1)*(k + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 5\/4*x**4 + 0*x**2 - 2 + 0*x - x**3. What is the third derivative of n(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 531*z**3 - 676*z**2 + 12. Let k(l) = -l**3 - 2*l**2 - 6. Let y(b) = -4*k(b) - 2*u(b). What is the third derivative of y(a) wrt a?\nAnswer: -6348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:07 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5647780139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 4. Let r be p(2). Suppose r*u - 4 = -0*u. Let v be 4\/(-3)*(-1 + -2). Solve -u*z = -z + v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(275) - (sqrt(275) + -6*(-3 + sqrt(275)))) + -3)**2.\nAnswer: -1440*sqrt(11) + 10476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 23*a**2 - 269*a + 4748. Determine x(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*v - 2*s, v + 4*s = -2*v - 38. List the prime factors of (-196)\/v + 6\/(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 7*z**5 + 33*z**4 - 164*z**3 + 156*z**2 - 32*z = 0.\nAnswer: -8, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-145))\/1 - 5344928\/(-65018)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3144 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*p = 3*l - 14, 3*p - 105 = 4*l - 132 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*s - 31377 - 599 = -1710. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 12*v**2 - v - 2. Let s be k(-12). Let f be (-7 + 273\/35)\/(4\/s). Let z be (3 + -2 - 5) + 5. Solve 5*o + 20 = 5*n, -f*o + z = -n + 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 19*z - 1\/30*z**5 + 1\/6*z**3 + 0 + 1\/24*z**4 + 3*z**2. Suppose -2*f = -0*f + 4. Calculate h(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09129271 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 - (-2 + -2). Suppose -4*x + s*g + 26 = -52, 3*g - 90 = -4*x. Suppose 2*w = -7 + x. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*z**2 - 2679*z - 46*z**2 + 31*z**2 + 4*z**4 wrt z?\nAnswer: 48*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 1568673900*j - 1568673900*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 39.25. Let m = p + -2.06. What is m rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81324469 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156801470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*o + 26533 - 26533)*(-3*o**2 + 2*o**2 + 2*o**2).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5\/3 - (540\/(-15930) - 18390\/531)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u + 3*z - 101, -4*u = 5*z - 107. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41597684 divided by -86\nAnswer: 483694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 723 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 3)**2*-4 + -5.\nAnswer: -3605 - 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3249 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -4*q**2 - 50*q - 7\/6*q**3 + 0 + 1\/12*q**4. What is r(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 1\/4 (b) 2 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -40 + 7*u + 2*u**3 + 32 - u**3 - 8*u**2. Give a(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -40*j**4\/7 + 11348*j**3\/7 + 3460*j**2\/7 - 14768*j\/7 = 0?\nAnswer: -13\/10, 0, 1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92611\/192850 + 326\/551. What is the common denominator of -73\/280 and k?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/55? (a) 0.1 (b) -1 (c) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2077?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1065437*c**3*r - c**2 - 35*r + 5834 with respect to c.\nAnswer: 3196311*c**2*r - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5 - 4. Let h(r) = -r**2 + 1. What is h(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 244 = -2*x - 56, -3*x = d - 270. Suppose 3*u = -2*v + x, 4*v - 189 = u - 0*u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 245*o - 14824. Determine t(136).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 10. Let x(h) = -152198*h - 39. Let o be x(-17). Suppose 4*g = 2*l - o - 1552677, j*g + 5 = 0. Round l to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 808493 = 3*i + 2*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15 = 1. Let c = 12 - n. Let t be ((-1)\/1 - 2)\/c. What is the nearest to 0.1 in t, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + v - 2. Suppose -2*w + 0*w - 4 = 0. List the prime factors of s(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10514 less than or equal to -10515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/30)\/13*(-1)\/(14\/((-840)\/(-36)))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 5. Suppose 0 = -8*v + 2 - 10. Let r(k) = 8*k + 4. Let b be r(v). Give y(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 2 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4 + 96*v**3 - 234*v**2 - 768*v - 435 = 0?\nAnswer: -1, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000904041 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o + 7. Let r be z(6). Let t = -69 + r. Solve -3*n + 3 = -3*a, -a - t*a - 8 = -2*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 - 50*m**2 + 36*m + 2. Let r(c) = c**3 + 17*c**2 - 12*c - 1. Let k(i) = 3*f(i) + 8*r(i). Let z = 21 - 36. What is the units digit of k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2200?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26372.2 - 26813.977. Let j = -437 - l. Round j to one decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -13. Suppose -g = -6*g + 10. Solve u*t = g*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339125 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(36)\/sqrt(2) + (sqrt(90) - (sqrt(90)*2 + sqrt(90)))\/sqrt(5))\/((1*sqrt(1800))\/(sqrt(12)\/(-2*sqrt(4) - sqrt(4)) - sqrt(3))))**2 + 0.\nAnswer: 196\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -55*258\/(-18920)*208\/6\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2954.8 and -0.4.\nAnswer: -1181.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1440)*3)\/(4*sqrt(500) + sqrt(500)))**2.\nAnswer: 648\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 8 = -174. Let o = i - -157. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f - 9. Suppose 3*h + o - 2 = -4, 3*o = 5*h - 6. Let p = 0 - h. Sort -1, p, f in ascending order.\nAnswer: -1, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + -7)*75\/50. Solve 4 = q + j, 16 = -f*q - 15*j + 19*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22904 and 8589.\nAnswer: 68712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 716805 divided by 17\nAnswer: 42165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*n - 22*n + 294. Let s be 1 - 1 - ((-324)\/n - 7). What is the nearest to -1 in s, 0, -3, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j**4 - 48 + 0*j**2 - j**3 + 53\/6*j**6 + 0*j**5 - 8*j. What is the third derivative of g(x) wrt x?\nAnswer: 3180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 65 + 60. Let r be (o\/10)\/((-1)\/(-2)). Suppose 4 = -k + r. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 84*b + 26. Let k be 6\/(-12) + (-11)\/(-2)*1. Is i(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1952 + f - 1893 + 1931 - 1990.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.96512l in millilitres?\nAnswer: 5965.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 84 = 14*d. Let i = 39 - d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 42 + 1417243*h**2 - 2*h + 2*h.\nAnswer: 1417243*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one halves of a meter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830710.\nAnswer: 2, 5, 7, 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.82 - 0.1.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4515 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - (0 - 1 - 0) - (0 - (-25 - -15))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, q: 3, t: 2}. Give prob of sequence tt.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -68. Suppose p*t + y - 29 = 0, 4*t - 48 = -3*y - 17. Suppose -t*q - 384 = -10*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107448\/25 + -4298. Let u = 7 + -5. Let p = 1 - u. Which is the third biggest value? (a) p (b) s (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13836491.\nAnswer: 107, 129313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5091*l**3*n**3*w**3 + 3*l**3*n**2*w + 110*l**2*n**3*w + 6*l*n**3*w wrt w.\nAnswer: -30546*l**3*n**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 - (-1404)\/99)\/((-2)\/(-286)). Solve m*x - 219 - 15 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2455\/(2\/3*30\/20). Suppose -5*n + 4*o = -k - 738, -3*n + 3*o + 1914 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -2, 4, -1\/8, -28\/5, -4\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1808, 1798, 1800, 1826, 1888, 1998?\nAnswer: 2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 + 3*l**3\/2 + 61*l**2 + 210*l + 196.\nAnswer: -(l - 14)*(l + 2)**2*(l + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56847 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 4*i**2 - 94*i + 4. Calculate q(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/3 + 2038*b**3\/3 + 4066*b**2\/3 - 2038*b\/3 - 1356 = 0.\nAnswer: -1017, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - 3*q + 3*q)*(26*q + q - 7*q) + 0*q**3 - q**3 - q**3 + (4*q - 2*q - 4*q)*(-1 + 3*q**2 + 3 - 5*q**2) as a*q + n*q**3 + m + o*q**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -10\/17 (b) 2\/9 (c) 0.17 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from fkfkkfckkkkkkdkckfk.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 879*c - 7030. Let f be i(8). Let a(d) be the third derivative of 0 + 0*d + 1\/9*d**3 + 31*d**f + 1\/72*d**4 - 1\/180*d**5. Factor a(t).\nAnswer: -(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15884235*o**5 - 2*o**3 - 40289929*o wrt o.\nAnswer: -317684700*o**3 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + ((-73392)\/(-552))\/(-11). Let j = 0.1 - 0.05. What is the biggest value in 2, r, -0.1, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-283 + 280)*(14\/(-12))\/(-7). Which is the closest to 0.52? (a) -1\/8 (b) l (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15267 or 14786?\nAnswer: 15267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 3*v - 261 - 75 - 12 - 2*v**2.\nAnswer: -2*v**2 - 2*v - 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29682 or -29679?\nAnswer: -29682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 21*f - 6387 = 122159. Is f >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(396))**2)*1 - 2*(sqrt(539) - sqrt(11) - sqrt(11))*6.\nAnswer: -60*sqrt(11) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189702205 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3397 (base 10) in base 13?\nAnswer: -1714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 314325792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20510203 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 11*m**2 - 12*m - 2. Let n be w(-10). Find the second derivative of n*t**3 + t - 62 + 69 - 55 wrt t.\nAnswer: 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 73146.\nAnswer: 73146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - 50*b - 243. Determine r(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.16067t to nanograms.\nAnswer: 69160670000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 5*x - 7. Let p(r) = 11 - 6*r**2 + 2*r + 8*r - 2*r. Suppose 6*h = 11*h - 25. Let l(g) = 8*g**2 - g + 1. Let j be l(1). Give h*p(d) + j*w(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 + 2. Let d be p(-2). Let v(m) = 4*m**4 - 3*m**3 - 2*m**2 + 5. Let u(c) = 2*c**4 - c**3 - c**2 + 2. Let n(f) = d*u(f) + 4*v(f). Factor n(w).\nAnswer: -2*w**2*(w + 1)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j - 11. Let h = -16 + 25. Does 15 divide c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 832 + -837. Let g = 3 - 0. Which is the closest to 1? (a) 1\/3 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.27993 and -0.4.\nAnswer: 0.911972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 10*v - 5. Let n(b) = -b**2 + 5*b - 2. Let g(y) = -4*m(y) + 9*n(y). List the prime factors of g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297 and 153.\nAnswer: 5049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l - 1 - 3 - 3*l. Let q be 2 + (-4 - -1*2). Suppose 0 = -q*c - c - 3. What is f(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:36 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22538 is divided by 7492?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 173534\/(13\/(143\/22)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + h + 2*h + (-3 - 2 + 3)*(-2*h + 5*h - h) - 3 + 4*h - 5*h + 3*h.\nAnswer: -4*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1. Let f(n) = -2 - 3 - 29*n + 11*n + 17*n. What is -f(v) - 5*z(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 772*s + 777*s = 106730, s = -4*u + 142267. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1665)\/153 - -11) + -4 + 1050\/34. Suppose -15\/2*k**2 - v*k - 27\/2 = 0. Calculate k.\nAnswer: -3, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-48)*(-460)\/1104.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 - 226 = -4*x. Let d = -58 + x. What is the remainder when d is divided by 14 - -1*(0 + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1577 + 4020. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -872.01 - -876. What is r rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbp when three letters picked without replacement from bbllbbp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -5. Suppose 5*q - 161 = -c*p, 2*q - 6*q - p + 133 = 0. Suppose 3*i + l = 50, 0 = 4*i - 5*i + 4*l + q. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/11 + 24*k**3\/11 - 20*k**2\/11 - 24*k\/11 + 2 = 0. Calculate k.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**4 - 9*p**4 - 11*p**4 + (-4*p + 1 - 1)*(-5*p + 5*p + 5*p)*(-p**2 + 0*p + 0*p) in the form o + k*p**2 + r*p**4 + s*p**3 + i*p and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -1*(-5 - 1). Suppose -5*g + 8 = -32. Let k be -6*(g\/4)\/4. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106424.14347369568 + -1.37851750432. Let q = i + 106382.522. Let t = 43 + q. What is t rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-9) + (-360)\/270?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u + 4*p - 3, 2*p + 52 = 5*u. Let t be 4\/u - 2*14\/20. Let m(k) = -k - 1. Let y(f) = -f**2 - 4*f - 2. Calculate t*y(w) + 3*m(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 + (-26)\/4. Let z = x + 6. Which is the nearest to 0.1? (a) -0.1 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1645 + 1652. Let u(r) = -r + 4. Give u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26288592 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(11)*-1*4.\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 84856527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:11 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 7088.\nAnswer: 92144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*p + 10 = 2*g, -25 = -4*g - 5*p. Suppose g = 2*b - 4*z - 10, -2*b + 19 = z - 1. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 6336*s**2 - 5*s - 6 + 6335*s**2. Give m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 28.178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 - 6*m**2 + 11*m**2 to the form i*m**2 + q*m + t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 258, 574, 1014, 1578?\nAnswer: 2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.09954. Let i = 0.8 + -0.8. Let x = i + q. What is x rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 2*d + (-1 + 1 + 1)*(d - 4*d + 2*d))*(7 + 0 - 1).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/44183549 and -32\/9.\nAnswer: 397651941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -49939.\nAnswer: 99878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 273 + -268. Let f be 1\/3 - 14\/24. Which is the nearest to -3? (a) 6\/5 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697912?\nAnswer: 2, 212239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616210.5 centimeters in nanometers?\nAnswer: 6162105000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + (25 - 41) - 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*m = -2*m + 472, -2*m = -8. Let g be 2\/3 - 174\/(-9). Calculate the highest common factor of g and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*b - b**4 - 17*b - 25*b - 121*b**3 to the form w + p*b + o*b**2 + s*b**4 + x*b**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 7*y + 99. Suppose 14 - 4 = 2*o. What is the remainder when y is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, 1 h, and 1 j when four letters picked without replacement from fufzjhhp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260\/253 - 122\/253. Which is the biggest value? (a) 1\/8 (b) -2 (c) r (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000239 rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = 82. Suppose 4*i - 19617 = -34*q + 7*i, -1 = 5*i + 54. Calculate the greatest common divisor of s and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 3*k**2 + 9*k - 5. Let o(b) = b**3 - 2*b**2 - 4*b + 3. Let q(w) = -3*o(w) - 2*u(w). Let z be (-1)\/2*-2*5. List the prime factors of q(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 49. Let d = -0.04 + -0.06. Which is the nearest to 0.1? (a) d (b) 4\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose f + 3*k + 13 = 0, w*k + 0 + 12 = -4*f. Suppose 5*g - 4981 = 5*a - 1216, -f*a = -g + 751. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let x(j) = 4*j - 3. Let s be x(2). Let n(u) = -4*u + 5*u - 3*u + s*u. Give n(z(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11524462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -83. Let c be ((-8)\/w)\/(2\/(-8)). Suppose 3*g + 5 = -1. Is g equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6342 divide 299659500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31238 is divided by 129.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, l: 3}. What is prob of picking 2 w?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -0.2593046014055.\nAnswer: -1.7406953985945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -380266, -1521016, -3422266, -6084016, -9506266, -13689016?\n\"Answer: -380250*q**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86.62915ml?\nAnswer: 0.08662915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*d + 6882 - 7692 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*y**2 + 11*j*y + 540*j - 20*y**2 - 5*y - 7 wrt y?\nAnswer: -2*j*y + 11*j - 40*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -16. Suppose 0 = c - 2*g - 9, -g = z*c - 4*g - 24. Let w(a) = -a + 2*a - c*a. Let m(p) = -p**2. Give w(m(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Suppose -5*f - m*b + 0*b + 622 = 0, -4*f - 5*b + 494 = 0. Let u be (21\/(-2))\/(3\/(-4)). What is the greatest common factor of f and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115447, 115424, 115381, 115312, 115211, 115072?\n\"Answer: -y**3 - 4*y**2 - 4*y + 115456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*s + 24, -t - 44 = 2*t - 2*s. Is 4\/t - (-1917)\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 10*n**2 + 7. Let f(t) = -46*t + 102. Let h be f(2). What is w(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 18) + ((-168)\/32)\/1*-4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264174935*z**4 - 113297547*z.\nAnswer: -3170099220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(14)\/(sqrt(7) - sqrt(63)*-2) + -4 + sqrt(200)*2)**2).\nAnswer: -5640*sqrt(2)\/7 + 203220\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-195)\/(-78))\/((-20)\/(-56))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 9*z - 6. Is 25 a factor of i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7308 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 - 6*p**2 + 3*p = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010202102 - -11?\nAnswer: -1010202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/18)\/(((-2720)\/150)\/34)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3001117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51268008 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 122\nAnswer: -48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - ((-44)\/10)\/(6\/(-15)). Let q(z) = z**3 + 9*z**2 - 10*z + 6. What is q(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 3788.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.077 and -1370.\nAnswer: -105.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5688?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - (-36)\/(-10). Let h be (1\/(-10))\/((-3)\/k). What is the third smallest value in h, 0.4, 1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563239978 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 63. Calculate the remainder when n(4) is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k - 537 = 93 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Suppose -4*k = a + k - 2, -m*a + 2*k + 6 = 0. Let t be a\/7 + 36\/21. Solve t*i + 2 = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 32059875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94761 - 186601 = 4141*b - 20479 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6)*(i + 0*i - 3*i)*(128 - 128 + 81*i**2).\nAnswer: -972*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*z + 841*z - 37464 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1303740.49.\nAnswer: 521496.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3) - 1)*3. Let m be (47\/47)\/(2\/32). Let y(r) = r + 25 + 6*r**3 - 8 - 3*r - m. Determine y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/2)\/(6\/15). Let o = k + -2. Suppose 7 = w + 2. Solve o*r = w*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*j + 27 = 79*j. Let y(c) = -j - 6 + 15 - 27*c. Let p(g) = 6*g**2 - 54*g - 27. Let a(h) = -h**2 + 8*h + 4. Let r(q) = -27*a(q) - 4*p(q). Give r(y(s)).\nAnswer: 2187*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b73 - -2?\nAnswer: 1b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*h + 23 - 25*h + 1 + 9 wrt h?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38384508858302 and -3.\nAnswer: -38384508858305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10) + (96\/360 - -5)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0*w = -5*a + 10, 3*w = 5*a - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 38*n**2 + n - 811. What is q(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, 499, 495, 491, 487, 483?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3932000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2809*d - 38. What is the hundreds digit of j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -155, -377, -661, -1007?\n\"Answer: -31*j**2 - 129*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -7*t**2 + 1\/12*t**5 + 1\/6*t**3 + 5\/24*t**4 + 0*t + 0. Let j be z(-3). Solve 4*v + 2*k - 31 = -5, 4*v - j = -3*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stw when three letters picked without replacement from {t: 2, w: 1, s: 11, g: 1, i: 3}.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/5 - 212*c**2\/5 - 408*c\/5.\nAnswer: -4*c*(c + 2)*(c + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*b = -306*b - 3021 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14*-505.\nAnswer: -70.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -25*(163 + 6\/(-2)). Round t to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119761235 divided by -10887385.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 342460179 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/760 or 0?\nAnswer: 3\/760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 12*f**2.\nAnswer: -3*f**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 619 + -619.000277. What is g rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2424 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063012123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 84.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, -173, -388, -689?\n\"Answer: -43*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 - 2*g**4 - 2*g**4)*(4*g - 3*g + 3*g).\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2295)\/(-14535)*(-4)\/3\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3640500 divided by 101125\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -23*y - 41. Let o be d(12). Let b = -112 - o. Is 41 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 5*u**2. Let l(x) be the second derivative of x**5\/20 + x**4\/4 - x. Calculate 5*l(t) - 3*z(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -202*(-5)\/(-6042) + (-4)\/24*-1. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*z**2\/9 + 214*z\/9 - 440\/3.\nAnswer: 2*(z + 20)*(7*z - 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k + 17*k + 5*k - 33*k. Let p(d) = -9740*d. Give p(x(j)).\nAnswer: 19480*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570 and 78394?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-99)*(-342)\/(-24)*-2. Which is the third biggest value? (a) y (b) 2\/23 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 2*d**2 + 0*d**2 + (-4*d + 4*d + 2*d)*(-4 + 4 + 2*d) - d**2 + 3*d**2 - 3*d**2 - 4*d**2 + 2*d - 2*d)*(4*d - 5*d + 0*d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/10)\/((-1)\/5). Suppose 0 = -6*z - 3 + 15. Let o(h) = 0*h**z + 0*h**2 - 4*h - h**2. Determine o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 2, -5 in descending order.\nAnswer: 5, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)\/c**(-5))\/((c\/c**(2\/13))\/(c**(-1\/9)*c)))\/((c*c**(-2)\/c)\/(c**(-3\/2)\/c))**(-5) assuming c is positive.\nAnswer: c**(1063\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1526 - -2641. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 270739608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2499380\/70 + -6 - 16\/(-28). Round n to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 4*j + 6. Let l(z) = 2*z + 20. Let g be l(-7). Give q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260*c**3 - 7*c**2 + 2*c?\nAnswer: 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24503780 divided by 181?\nAnswer: -135380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9369888107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 2*m + 6*m)*(138*m**4 + 243*m**3 - 243*m**3).\nAnswer: 276*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/1603 - 3160\/36869. Suppose u = -2*k - 1, 0 = 123*k - 122*k - 5*u + 6. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*t + 2, 0 = -2*w + 4*w + 2*t. Let l(x) = -4*x**2 - w*x - 34 + 15 + 20 + 3*x**3. Let u be l(2). Solve 5*h = -k - 2, -6 = k + 2*k + u*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.055 + 0.335. Let i = o + 2.72. Suppose 2*q + 52 = 4*r + 12, q - 36 = -5*r. Sort r, i, -0.5 in increasing order.\nAnswer: -0.5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a week in hours?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**3 - 2289*r**2 + 290*r - 1123. Calculate p(286).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.1. Let q = -1045 - -1095.9. Let r = q + -51. Which is the third biggest value? (a) n (b) -2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54 and 62\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22356 and 288504?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38695 and 4499921?\nAnswer: 4461226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 9651 = 9801 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -2*(0 + sqrt(468)) - (-6*(sqrt(468) + 1 - sqrt(468)) - sqrt(468)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -499543.7 and -1466.7?\nAnswer: 498077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = p - 2150, -k + 553 + 528 = 2*p. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**5\/30 + m**3\/2 + 28*m**2 + 2. Determine n(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8075 - -8082. Let t(k) = 9*k**2 - 5*k - 3. Let p(c) = 13*c**2 - 7*c - 4. Determine s*t(i) - 5*p(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4 - 60*p**3 - 369*p**2 - 174*p + 600 = 0?\nAnswer: -4, -2, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1940 and 29\/55?\nAnswer: 21340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 + b. Let l be z(1). Let y be 6\/(-33) - (-24)\/11. Let o(h) = 1 - y*h - 2*h + h**2 + 5*h. Give o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 2, f: 1, y: 1, l: 1, m: 1}. What is prob of sequence fbmb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*k - 203*k + 49936474 = -26152882. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 20*h. Suppose 3*l = 3*v - 5*v - 2, 5*l + 20 = h. Solve 10*j - v = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 84*a + 1764.\nAnswer: (a + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(2)*-2 - -2*sqrt(120)\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 284560 and 308.\nAnswer: 21911120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.9. Let v = 89 + -88.97. What is the closest to 2\/7 in z, -2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.099 and -71.\nAnswer: 7.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - -49) + (1 - -10) + -15 - (-2 + 13).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1572)\/(-9) + 2\/6.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199365001 to the power of 1\/3, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739602861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-116)\/(-10904)*(-24)\/(-452). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1167, -74, -0.5?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 3*g + 3. Let r(a) = 12 - 20 + 9. Calculate p(n) - r(n).\nAnswer: 2*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b + -4?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 smaller than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*g + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -26*(-1)\/(-58)*-22. Let y = s + -2525\/406. Calculate the common denominator of 11\/6 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1280944\/185 - -6924. Suppose -167*z - 13 = -154*z. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49880922 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 358 * 97.\nAnswer: 34726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2095 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 442868 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/10 + y**2. Let o be 3 - (-8 - (-18)\/2). Let h(z) = 1107 - 1107 + 3*z**o - 17*z**2. Calculate g(h(x)).\nAnswer: -1176*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8393*o*w**2 - 18*o*w - 158441*w**2 wrt o.\nAnswer: 8393*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 1, s: 4, b: 7, t: 3}. What is prob of sequence tsw?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c = -711. Let t = -16 + c. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(26 - l + 0*l + 1)*(-4*l + 0*l + 3*l).\nAnswer: -l**2 + 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**6)**(11\/3) assuming y is positive.\nAnswer: y**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115457356?\nAnswer: 2, 7, 4123477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b5 (base 14) to base 3.\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 10475 = -r, 60861 = 5*r + 5*v + 8661. What are the prime factors of r?\nAnswer: 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/9)\/(-5))\/((-8)\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39.98497576068 + 0.01502520932. Let p = n - 40. Round p to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r - 13 + 13)*(r - 4*r - r)*((-1 + 1 + 2)*(r + 0*r + 0*r) - r + 2*r + r).\nAnswer: -272*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1286 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 32. Suppose -3*r + 2990 = -d*r. Let k be r\/4*(9 + -5). Round k to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + a + 9. Let b(q) = q**2 - 8*q + 8. Let c be b(7). Let p = -22 + c. Let g = 21 + p. Give y(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5 + a + a**2 - 3 + 8. Calculate the remainder when 17 is divided by y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*s + 19, -2*m - 3*m - 2*s - 19 = 0. What is the common denominator of m*210\/192 - -3 and 137\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -399371, 0, -1\/10, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190042, -189959, -189816, -189613?\nAnswer: -189350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 446887\nAnswer: -1\/446887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10 - 18 + 8 - 118*h. Let b(r) = -r**2. What is t(b(j))?\nAnswer: 118*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skm when three letters picked without replacement from iqmuksik?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/n**0*n))*n)\/n)\/n*n)**(-17)\/(n**(-1)*n)**4*(n*n\/n**(-2))\/n**2*(n*n**(-2\/7))**(-19\/3) assuming n is positive.\nAnswer: n**(-767\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {m: 6, i: 4, e: 5, y: 1, c: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3930 = -2*t, 0*r + 3*t - 1553 = -2*r. Let k = r + -279. List the prime factors of k.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**3 - 2*q**2 + 4*q - 11. Calculate c(2).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -3*h**2 + 6*h + 5\/12*h**4 + 1\/6*h**3 + 0. Let b(a) be the first derivative of m(a). Differentiate b(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 33, 2, -934, 1 in decreasing order.\nAnswer: 33, 3, 2, 1, -5, -934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/7250 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmlltmntqtt. What is prob of picking 1 l, 1 t, and 1 n?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*b*m*v - 1226518*b*m - b*v - 6*b + 3041*m*v + 31*v - 4 with respect to v.\nAnswer: -25*b*m - b + 3041*m + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 449414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*m - 20 = 0, 2*v - 4 = 4*m + 6. Solve -2*u = -4*b - 2, -v*u = -2*b + 2 + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**3\/6 + f. Let i(d) = 6*d. Let h be (-3)\/(45\/1344) + (-15)\/(-25). Let b = h - -110. Give b*o(n) + 4*i(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3290?\nAnswer: 3295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2. Let w(l) = -3*l**2 - 4*l + 4. Let j(q) = -4*q**2 - 5*q + 5. Let b(u) = 4*j(u) - 5*w(u). Determine n(b(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4750888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 30 + 10*v - 13 - 4*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -508357714 + -9605.\nAnswer: -508367319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 127*a - 3366. What is w(-91)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -80. Suppose 0 = -22*l + 21*l + d. Solve 5*b = 0, 3*h - b + l - 3 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31791, -3, 408, -1.\nAnswer: -31791, -3, -1, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offtteowotfoet. Give prob of picking 1 f and 2 o.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 59. Find the second derivative of s**2 + 17*s**o + s - 601 + 601 wrt s.\nAnswer: 340*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-60)\/80)\/((-1)\/16). Find j, given that 18*j**3 + 8*j**5 - 6*j**5 - 3*j - p*j**4 + 3*j = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -18. Let f(d) be the second derivative of h*d**3 + 0 + 0*d**2 - 4*d + 1\/6*d**4. Let s(l) = l**2. Calculate s(f(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62103 divided by -1.\nAnswer: -62103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 576\/306 - (-8)\/68. Let s(c) = 26*c**3 + c**2 - 2*c + 1. Let l be s(2). Let w(z) = -209 + l + 2*z**2. Determine w(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngjjjnnggsgoggggjggn. What is prob of sequence jsj?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 36.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 78\/48) + 21\/(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - 4*v**2 + 5*v**2)*(533 - 931 - 1 - 1109).\nAnswer: 4524*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61431321 to the nearest integer?\nAnswer: 7838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 4*a**2 - 4*a - 1. Let b be h(5). Suppose 0 = b*f + 4*o - 96, 7 = -5*o + 2. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/((-36)\/16) - 1. Solve 5*d - 2*u - u - 16 = 0, n*d + 4*u + 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 7.8. Let x = 7 + z. Which is the nearest to x? (a) 0.5 (b) 3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 16430733.\nAnswer: -5\/16430733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 0, -r + 1 = -5*f - 0. Suppose f = p + p. Differentiate -4 + p + 2 - 3*b**4 with respect to b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4850724 divided by -1812.\nAnswer: -2677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, u: 1, y: 1}. What is prob of picking 1 y and 1 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:31 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2186*s**3 - 2187*s**3 + s**2 + 0*s**2 - s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 194, 203, 230, 281, 362, 479?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3))**(-10\/17)*(p**0)**(-4\/19)*(p**(2\/7))**(3\/16)*p**(-2)\/p*p*p**(2\/9)*p*p assuming p is positive.\nAnswer: p**(5723\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9601, -56193, -133839, -242533, -382269, -553041, -754843?\nAnswer: -987669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5*25\/(-10). Differentiate -7 - u + 6 - 2 - 3*b wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/3 - (-4)\/(-6). List the prime factors of -1*(w + (1 - 4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, 18, -1, -8.\nAnswer: -152, -8, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*d + 331, 10*t + 7*t - 363 = 21*t - 4*d - 111 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + -2 + 4\/1. Let c = 2 - v. Let z(d) = -2*d + 1. Determine z(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2097*m + 2455440 = 2201*m. List the prime factors of m.\nAnswer: 2, 3, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179596 divided by 761.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 281\/9 - 6\/27. Let g = 52 - z. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13761885 is divided by 867.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 11*u - 255. Determine n(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 - 256*p + 1918. Determine s(10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 3. Is (-50)\/x + (-2)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 24*a**2 - 8*a. Let d(t) = 36*t**2 - 12*t. Let z(v) = 8*b(v) - 5*d(v). What is the second derivative of z(s) wrt s?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49340000 to the nearest one million.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 248, 294, 126, -364, -1284, -2742, -4846, -7704?\n\"Answer: -18*x**3 + x**2 + 169*x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1184\/1480*425\/(-20).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1752 + 5364. What are the prime factors of a?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9319109 divided by 4?\nAnswer: 9319109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**3 - 3*n**2 - n**3 + 4*n**2 - 4*n**3 - 3 - 2*n as s*n + f*n**3 + l*n**2 + y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11350 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-30) - 2) + 3. Let z = 4.4 - 4. Sort y, -5\/3, z, -3.\nAnswer: -3, -5\/3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5573?\nAnswer: 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 12, z + 12 = -2*x + 6*z. Suppose -6*p + 143 - 149 = 0. Which is the fourth biggest value? (a) 0.1 (b) p (c) x (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142659401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2)*(-4)\/(-8). Let k = 0.6 + -0.62. What is the third biggest value in -0.1, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 1*2*(-2505)\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53300 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**3 - 2*w - 9*w + 7*w - w**2 + 1 - 5*w. Let u be a(8). Let y = u + 2344. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58 - -1) + -147 + 215.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 + 290.8. Let o = x - 67. Let a = o - 6.7946. Round a to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -24. Suppose 0 = -4*h + 5*p + 255, h + 3*p + k = 69. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, -5, -4.5, 12 in decreasing order.\nAnswer: 12, 1.4, -4.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogggooboogxoo. Give prob of picking 1 b and 2 o.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 - 14606602*z**3 + 104633*z + 104?\nAnswer: 24*z**2 - 87639612*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7419556.\nAnswer: 2, 1854889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -144?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - 2 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*n - 91*n = 22. Is 5 a factor of ((-1364)\/12)\/n*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 10*f**2 - 9*f + 2. Let t be j(-9). Let x be -3 + (26 - t)\/3. Suppose 5*a = 3*m - 35, -3*a - 17 = -x*m + 52. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 89*t**2 + 3*t + 2. What is the remainder when 460 is divided by m(1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315254472 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-21))\/x)\/x)\/x**8*(x**0*x)\/(x*x**5) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8.1 times 1382.6\nAnswer: 11199.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 33*y + 88*y + 9251 = -231*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 - 2*y**2 + 5*y. Let r(a) = a**2 - a. Suppose -16*k = -4*s - 13*k + 12, -4*k + 15 = 5*s. Give s*r(v) + c(v).\nAnswer: -4*v**3 + v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*k + 10 = 0, -2*l - 4*k - 5 = -11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 + 128*a**2\/7 + 2216*a\/7 + 9120\/7.\nAnswer: 2*(a + 6)*(a + 20)*(a + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-2))\/(-3))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42872351 times -2\nAnswer: -85744702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in 0.2, -5, -2\/7, 15550?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {o: 6, x: 1, f: 1, z: 1, m: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -38d3 (base 14) to base 11\nAnswer: -7558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f + 199*f = 2003520. List the prime factors of f.\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -144336\/7 in 3, -4, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 446.0442426 to two decimal places.\nAnswer: 446.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l + 34. Give f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0754 rounded to 3 dps?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - a = 0, 0 = r - 14*a + 11*a + 14. Let u be (-24)\/(-14) + (r - (-192)\/84). Solve 2*g - 20 = -3*q, -3*q = -u*g - 8*q + 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 13 = -2*f, -s + 14*f - 12*f = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.07, -3\/11 in descending order.\nAnswer: 0.07, -3\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.88 + 3.12. Let o = 5 + -3. Sort 1\/6, o, i in descending order.\nAnswer: i, o, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1012 + 1527. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 327*v + 1614. Let g be x(-5). Let j(h) = 7*h - 3. Let b be j(3). Suppose -9*c - b = -10*c. Calculate the highest common factor of c and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -98314.4 and -0.057.\nAnswer: 5603.9208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 12 - 5. Let f = c - 3. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o**2 - 2*o - 3. What is n(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6. Suppose c + g = -0*c. Is (2\/6)\/(c\/(-291)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) + sqrt(1331) + 0)*-6 + sqrt(1331) - (1 + sqrt(1331) + -1))*-3)**2.\nAnswer: 1724976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1370, 1850, 2332, 2816, 3302, 3790, 4280?\nAnswer: 4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004889 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -916 + 4?\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*f = f + 5, 3 = 3*y + 3*f. Suppose 0 = 2*r - q - 29, -q = -5*r + 68. What is the remainder when 464\/12 - 2\/y is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 23*d - 18. Let b be v(-20). Is 20491\/7 - b\/(-273) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2295 = 5*k - 3*m, 0 = -17*k + 15*k - m + 929. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 - 2*i**2 + 3. Let d(w) = -78*w**2 + 160*w + 2. Let x be d(2). Let j(m) = -m**3 - m**2 + 1. Give x*j(z) - 4*s(z).\nAnswer: 2*z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*c + 11, 0 = 4*s - 2*c - 0*c - 18. Suppose 3*o - 2*h - 3 = 3, -2*o - s = -5*h. Let z = -24 + 26. Calculate the remainder when o is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/49 and 61\/161.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -126381.8333 rounded to the nearest integer?\nAnswer: -126382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.39755 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - 19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -90, -11, 3 in increasing order.\nAnswer: -90, -11, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 121. Suppose -1 = f - 2*f. Let u = f + -3. Sort u, -3, h.\nAnswer: h, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -415151 or -7057560\/17?\nAnswer: -7057560\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/5 (c) -4\/11 (d) -5\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/20 + 5*u**4\/24 + u**3\/3 - 7*u**2 - 5*u - 3. Let p(l) be the first derivative of z(l). What is p(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -99.455227851.\nAnswer: -99.355227851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + sqrt(432) + -1*sqrt(432) + (1 + sqrt(768) - sqrt(48)) - (sqrt(240)\/(-1*sqrt(5)) + 1 + sqrt(5808) + 0)))**2.\nAnswer: -560*sqrt(3) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/560)\/(30\/(-80)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 27 = -3*p, -7 - 11 = -p - 4*a. Suppose r = -2 + p. What is the least common multiple of 22 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 7*i**4\/24 - i**3\/3 + 2*i**2. Let n be c(1). Solve 12 = -2*f - 2*b, 1 - 16 = -n*f + 4*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 3, -5.66, -16\/11, 1, -16, -0.4?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8204064nm to centimeters.\nAnswer: 0.00000008204064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -52. Let c = -28 + f. Suppose c*s = -5*s - 60. Which is bigger: -13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 69.94748 kilometers?\nAnswer: 69947480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from cffcfff?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.72 rounded to 0 decimal places?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 9. Let j(c) = -4. Let l(y) = -13*j(y) - 6*o(y). Let n be (-38)\/(-1)*(-9)\/6. Let f = n + 59. What is l(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 + 3908745*k**2 + 763916328120*k + 763912419380 = 0. Calculate k.\nAnswer: -390874, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7623925.47 microseconds?\nAnswer: 0.000012605696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l - 43*l + 1320. What is the greatest common factor of 32 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mumuumummutmuzmtmumu. Give prob of sequence uuz.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1144 * 0.2\nAnswer: -228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34*(2 + 9 - (0 - 171\/(-18)))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, y: 3}. Give prob of picking 3 y.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145176 = -37230*o + 14179*o + 106532 - 583733 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 7. Let h(n) be the third derivative of -n**4\/24 + n**3\/2 + n**2. What is 9*h(x) - 4*v(x)?\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 42074635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4*(30 - 715\/22)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5 + 51 = 0. Is (6\/(-7))\/(b\/98) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 41 + 41)*(0*d - d + 0*d)*(-3*d**2 - 4*d**2 + 6*d**2).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 + 24961*u**2 - 102761*u.\nAnswer: 12*u**2 + 49922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-2)\/((-4)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5994363, 5994359, 5994355?\n\"Answer: -4*c + 5994367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3*(-6 - -3). Let g = 408 - 403. What is the third smallest value in h, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3075*t + 3081*t - 1 + 0.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -17*s**3 - 9*s**2 + 122*s - 3232. Let h(g) = -7*g**3 - 4*g**2 + 61*g - 1616. Let k(j) = 9*h(j) - 4*y(j). Differentiate k(q) wrt q.\nAnswer: 15*q**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*x - 55, -2*x + 18 = -0*h + 3*h. Suppose -2*t - 187 = -i + 15, -x = -3*t. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159b4b (base 12) in base 3?\nAnswer: 200210010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*o + 10, 4*t - 2*o - 12 = 2*o. Suppose -3*v = -t*d + 1, -2*d - 17 = -3*d - 5*v. List the prime factors of d + (3 - 3)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 - 2*x**2 + 3*x**2 + (-x - 3*x + 2*x)*(-2*x + 1 - 1) - 2*x**2 - 2*x + 2*x + (-24*x + 17 - 17)*(4*x - 11*x - 5*x).\nAnswer: 289*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 - 4*g + 1. Let k be b(6). Let c(v) = 2*v - 11. Let a be c(-4). Let p be 0\/k - (-1 + a). Solve 0*d = 4*d + p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/8*j + 9\/8 - 3\/4*j**2.\nAnswer: -3*(j + 3)*(2*j - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 11*y - 13. Let z be j(9). Suppose -7 - z = -3*m. Solve -4 = -0*a - m*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(1 + (-102)\/96)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5*d\/(d\/d**9)*((d\/d**(4\/5))\/d)\/d**(-3))**13 assuming d is positive.\nAnswer: d**(1118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 38*l + 43*l + 1 - 83*l. Determine w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*u + 81, 4*u = -5*o + 346 - 21. Suppose 3*p + 3*l = 33, 0*p + l = 5*p - o. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 12*u**2 - 48*u - 249. Determine j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-2 - 6 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnwfkknnwnfkwnfcn. What is prob of picking 1 w, 1 f, and 2 k?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1812 + 1350. What are the prime factors of q?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 267*x**3 + 1055*x**2 - 10*x. Let g(q) = -264*q**3 - 1055*q**2 + 8*q. Let w(i) = 5*g(i) + 4*p(i). Find the third derivative of w(k) wrt k.\nAnswer: -1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 11:42 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 15*l**2 + 14*l - 20. Let p(v) = 4*v**3 + 46*v**2 - 42*v + 59. Let s(o) = 2*p(o) + 7*y(o). Let q be s(11). Let x = q - -297. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 19109.06 micrometers?\nAnswer: 0.00001910906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*c - 20, -6*b + c + 39 = -b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1847160 divided by 18\nAnswer: -102620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2205078\/19 + 116058. Factor b*i + 2\/19*i**2 + 0.\nAnswer: 2*i*(i + 12)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 42. Let q = 2.6 - 26.6. Let f = j - q. Which is the nearest to 1? (a) 0.2 (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21176150*i**2 + 10588066*i**2 + 10588082*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -365, -553, -753, -971?\nAnswer: -1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 + 5186*t**2\/3 - 1666480*t + 379683936.\nAnswer: 2*(t - 444)**2*(t + 8667)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2))\/g*g**(1\/7)*(g*g**(-5\/4))\/g**(2\/3)*(g**1\/g)\/((g\/g**(-9))\/g)*(g*g\/g**(1\/4))\/g**(-5) assuming g is positive.\nAnswer: g**(-53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/173 less than or equal to 0.0537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-600))\/(2\/50)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-10) + 5307080\/475 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17583144 - 17585106.8851. Let z = 1963 + d. What is z rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2459874.17 rounded to the nearest one thousand?\nAnswer: -2460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5801160 and 104922?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppm. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-4) - 6\/8. Let f be (-5 + 4)*-3*n. Suppose l = -f*l + 452. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, r: 4, k: 1}. Give prob of sequence rk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 + 119. Calculate the highest common divisor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 - -503. Suppose g*b - 677*b = 414. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 5, d: 1, y: 3}. What is prob of sequence ws?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 j, and 1 o when three letters picked without replacement from pcooojoofc.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116*m**2 - 70*m - 4*m**3 - 1050*m + 671 - 4271.\nAnswer: -4*(m + 9)*(m + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55\/41673 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (20\/80)\/((-3)\/(-72))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*v - 37 = 0, -5*p - v + 291 - 332 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6 - 10491961*i**4 + 129252400*i**2?\nAnswer: 120*i**3 - 251807064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - 8. Let o = -72 - d. Let h = 150 - o. What is the greatest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 times -980343?\nAnswer: -6764366.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 + -1)*28\/(-10). Let o be (y\/10)\/((-3)\/15). Suppose 2*v = -0 + o. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5086205 is divided by 1179.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c**(-4\/7))))**(6\/29)\/(c**3\/c)**(-18) assuming c is positive.\nAnswer: c**(7368\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 z, and 1 o when three letters picked without replacement from {w: 1, s: 2, p: 1, t: 1, z: 1, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)\/(7\/(-1) + 6). Let u be b\/((-5)\/((-75)\/3)). Suppose u*x = -99 + 369. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - 68. Let l = i - -297. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 6*m**2 + 20*m + 17. Let h(v) = -6*v**3 - 29*v**2 + 101*v + 84. Determine -6*h(g) + 29*t(g).\nAnswer: 7*g**3 - 26*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2.8. Let z = 43862 + -43861.7. Sort -2, z, 0.1, a.\nAnswer: -2, 0.1, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 30. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/4)\/(-7))\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*c + 5*c + 1 + 4 - 4 + c + (2*c - 4 + 4)*(0 + 2 - 3))*(45 - 45 - 6*c**3) in the form q*c**4 + v*c**3 + k + l*c**2 + j*c and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154721 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 - 5*f**2 - 6*f**2 - 51*f**2 - 22*f**2 - 3*f**2 + f**2 + f**2 - 3*f**2 + (-6*f + f + 3*f)*(f + f - 3*f).\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77554309949 less than -7?\nAnswer: -77554309956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476376.\nAnswer: 2, 3, 53, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138725.\nAnswer: 5, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42300 is divided by 6035.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12937*y**2 - 214*y**4 - 563*y**2 - 3*y**5 - 365*y**3 + 1520*y**3 + 1245*y**3 + 139*y**4.\nAnswer: -3*y**2*(y - 10)**2*(y + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15199 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -16.36917?\nAnswer: 18.36917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 5 - (-7 - -5). Let r = d + 6. What is the common denominator of r - 3 - 255\/(-18) and -41\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(182*u - 182*u + 12*u**2) in the form o*u**2 + x*u + y and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 3:08 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1539) + 0 + 0 + (sqrt(1539) + sqrt(1539) + 0 + -1 - (-3 + (sqrt(1539) - -2*sqrt(1539)))))*-5*2)**2.\nAnswer: 3600*sqrt(19) + 154300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86794 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8798 divided by 1.\nAnswer: -8798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 3*k**2 + 2*k + 3. Let y be w(-5). Let n(a) = a**2 + 14*a - 247. Let m be n(-26). Let z = m + y. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3096095120.182145184 - 1.182145184. Let d = n + -3096095056.00000094. Let s = d + -63. Round s to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 32*a**2 - 33*a + 4. Let x be h(-33). Suppose -x = -5*r + r + k, -4*r = -2*k - 8. Find t, given that -3\/7*t**3 + r + 0*t**2 + 12\/7*t = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 3\/4 (c) -13.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 332*j**6 - 750 + 2*j**2 - 705 + 1547 wrt j?\nAnswer: 39840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 18*a + 1036. Let v be g(0). Which is smaller: 1035 or v?\nAnswer: 1035","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1511370, 3022739, 4534108?\n\"Answer: 1511369*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1343\/70 + -142\/7. Calculate the common denominator of 103\/10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.4 + -14.40071. What is q rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 + 6477*o**2.\nAnswer: -3*o**2*(o - 8636)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = -3*u - 3*z + 156, -2*z = -u + 183. Calculate the remainder when u is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -195331.203 to the nearest ten.\nAnswer: -195330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 17*w**2 - 3*w + 1. Let s be o(2). Suppose 26*x + 62 = 531 + 77. Calculate the greatest common divisor of s and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/42*(-14)\/(-4). Suppose 5*q + 3*y = 2*y - 2, 5*y - 17 = u*q. Is (-4109)\/14*(q - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (385\/154)\/((-5)\/(-8)). Suppose -p*t + 14*t + 140 = 0. Let v = -4.11 - -0.11. Which is the biggest value? (a) v (b) -1 (c) 0.1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27929126 to the nearest 10000.\nAnswer: 27930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54739 is divided by 12975.\nAnswer: 2839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i + 26 - 48 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*r + 174*r - 2*m = -16, 4*r + 6 = 11*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469875928?\nAnswer: 2, 19, 31, 99719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(57) - sqrt(399)\/(sqrt(49)\/sqrt(7))) + -1*sqrt(2793))\/((-4*sqrt(54))\/(sqrt(2) + sqrt(8)\/(sqrt(12)\/sqrt(3)))).\nAnswer: -1 + 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.216 + -0.316. Let z = 2.9 + -21.9. Let j = p + z. Which is the closest to 1? (a) j (b) -4\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + 8 + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651657.\nAnswer: 7, 235951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 241 = -5*p, 3*l = -4*p + 3*p + 43. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8512 divided by 1551.\nAnswer: 8512\/1551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, -3, -1 in decreasing order.\nAnswer: -1, -3, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000126563097 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s - 69. Let a(m) = -4*m**2 - 17*m - 3. Let g be a(-3). Let h be o(g). Solve h*c = 4*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362129730?\nAnswer: 2, 3, 5, 37, 107, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+0.048625058349\nAnswer: -0.051374941651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10911*3.\nAnswer: -32733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 6, 3\/4, 4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1567334149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189 divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 321937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)\/s**4*s**(1\/3)*(s\/s**(3\/11))\/s*s*(s**(2\/7)*s)**(-1\/4)*(s\/s**(1\/2)*s)**45 assuming s is positive.\nAnswer: s**(52889\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.139 and -12.\nAnswer: -11.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-4) - (-2)\/8. Suppose -q + 35 = o. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = -1412*d + 1414*d, -j - 3*d = 13. What is the least common multiple of 560 and j?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(-2*m - 2 - 9*m - 24*m).\nAnswer: 70*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61, -0.4, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.39 less than 625782939?\nAnswer: 625782942.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:24 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*m**2*x + 8*k*m**2 - 16*k*m*x**3 - 3*k*m*x**2 - 22*m**2*x**3 - 3*m wrt m.\nAnswer: -2*k*x + 16*k - 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 1048*j - 8362. Give s(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5132025, -10264050, -15396075, -20528100, -25660125, -30792150?\nAnswer: -35924175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 4*g + 19. Let b be p(9). Let d = -23 + b. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 6. Suppose -t*o - 10 = -5*o. Let d(v) = v + 1. What is the units digit of d(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Suppose 0 = -5*u - w - 34, 32 = -2*u - 2*w - 3*w. What is the closest to -0.1 in i, u, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)*-2 - sqrt(70))\/(sqrt(1440)*-1) + 4 + (sqrt(567)*-3 - sqrt(567)) + (-1*sqrt(7) + 0 - sqrt(7)) + 3)**2*-6.\nAnswer: -493941\/8 + 3213*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 3\/5 (b) 2 (c) -0.365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567.\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0 - 1\/3*n**3 - 145\/2*n**2 + 227\/20*n**5 - 74*n + 0*n**4. What is the second derivative of w(p) wrt p?\nAnswer: 1362*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2296 and 48.\nAnswer: 13776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1557337 < -1557337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 771 or 13876?\nAnswer: 13876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68982433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -227092 + 227239. Suppose 31 + 7 = w. What is the remainder when a is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.9 - -7. Suppose -1554 = 10*o + 1206. Let x = o + 3034\/11. What is the closest to j in 4, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-38)\/7)*14. What is the lowest common multiple of 1\/5 - t\/60 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + -3 + -3 - -47?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166 - -478. Let x = -312.03 + k. Which is greater: -15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 1 = -2*d, 5*p + 23 = 4*d - 0*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, -3, -1, 4, -5, 230 in descending order.\nAnswer: 230, 213, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5326 + -4052.982\nAnswer: -9378.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 175a608 (base 11) to base 7\nAnswer: 34245012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -9*l**2. Let p(j) = 2*j**2 + 23*j - 23*j + 11*j**2. Give p(a(i)).\nAnswer: 1053*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {y: 7, w: 7, g: 2, b: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132661.\nAnswer: 132661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 262 + 10. What is the greatest common factor of o and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 457 + 114 = 2*r, 4*r - 3*s = -65 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(3*l - 2*l - 3*l + (-42*l - 69*l + 15*l)*(1 - 2 + 3)).\nAnswer: 388*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 + -238. Round w to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -5. Suppose -26 = k - 2*k. Let r = h + k. What is the highest common factor of r and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + 2*k + 2*k)*(1 + 3 - 7)*(4 - 5 + 2)*(-3 + 1 - 3) + (-4*k + 7*k + 0*k)*(10 - 2 + 1) to r + i*k and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 80, -1, -3, -8, -4 in descending order.\nAnswer: 80, 3, -1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/19 < -361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -709779979 rounded to the nearest one hundred thousand?\nAnswer: -709800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6179 and 6956?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 14. Suppose 0 = r*n - 8 - 0. What is the nearest to 0 in n, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4123 and -19551 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (28 - 0)*2\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343665254 is divided by 479?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1. Let j(w) = 5*w - 5. Let n(c) = c. Let a be n(-5). Let p(h) = a*k(h) - j(h). Let x(q) = 2*q. What is p(x(z))?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eevvexfeevffefvbeex. Give prob of picking 1 e and 2 x.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -30*t. Let k(f) = -f**2 - 9*f + 32. Let u be k(-12). Let v be (-1)\/(-3 - u) + 0. What is j(v)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0669 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5903, 5904, 5905?\n\"Answer: j + 5902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6899.1, 0.4, 643 in increasing order.\nAnswer: -6899.1, 0.4, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 4*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3770, -3774, -3778, -3782?\n\"Answer: -4*o - 3766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/(-42))\/((-524)\/917)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/(h\/(h**(-2\/13)\/h))*h)\/h)\/h)**(-6\/29))**(-40) assuming h is positive.\nAnswer: h**(-3600\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*t + 16*t - 19*t.\nAnswer: -79*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -771*q + 1611*q + 88 - 813*q in the form g + f*q and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1594*q**5 - 6440*q**4 + 1418737*q**2 - 2*q + 2 wrt q.\nAnswer: -95640*q**2 - 154560*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 677531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70444 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 567 - 571. Which is the nearest to -6.2? (a) 16 (b) y (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120006 (base 9) to base 16.\nAnswer: 119f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 + 3*a - 1. Suppose 3*s - 6 = -c + 6, 5*s = -c + 18. Does 10 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8592 - -533.45?\nAnswer: 536.3092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*-1*56\/(-147)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7806, 7227, 6646, 6063?\nAnswer: 5478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.877 - -1.\nAnswer: -52.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*h**5\/4 - 252*h**4 + 1947*h**3 - 5292*h**2 + 4752*h - 1344 = 0. Calculate h.\nAnswer: 2\/3, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 314 - 317. What is the closest to 0 in x, -20, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 951, 1902, 2853, 3804, 4755?\n\"Answer: 951*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178 - -206. Calculate the least common multiple of 14 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 5:15 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7449939*i + 83492008.\nAnswer: -7449939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.315 - -95508.377?\nAnswer: 95501.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (0 + (-6)\/4)\/(12\/(-88)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.15445 and -28994.\nAnswer: -28992.84555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 30913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 10. Let b be (-2)\/2*(0 + -47). Suppose i + 2*f + 29 = 5*f, 3*i - f = -b. Let d be z(i). Solve 3*u + 2*a = -4, d*u = 5*a - 4*a - 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002566316751 to 6 dps.\nAnswer: -0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-8))\/((-6)\/(-29112)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:58 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2 - 18380886*d + 18380889 = 0.\nAnswer: -6126963, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.097458 and 37.14.\nAnswer: 3.61959012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*g + 14 = -461*g + 232*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -3\/4849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 116*o**2 + 110*o**2 - 3*o. Let t(h) be the second derivative of -h**4\/12 - 5*h. Give t(l(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 14. Let h = x - 1. What is the smallest common multiple of h and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/12*6\/4. Suppose 0*v + 9 = 3*v. Suppose -2*k = -3*h + v*k + 27, -5*h - d*k + 8 = 0. Solve 30 = 5*l - j, 41 = 4*l - 5*j - h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -908 = -3*u - 4*w + 852, 3*u - 1756 = -5*w. Is u a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8924997 is divided by 4358?\nAnswer: 4171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 3*b**2 + 5*b + 1. Let m be l(-4). Let c be (m - -5 - 4) + 0. What are the prime factors of (1 + c)\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-10))\/((-8)\/20). What is the common denominator of (-104)\/14 + (-2)\/w and 23\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -6)*(-1)\/2. Solve -u - g = -7, -4*u + 4 = -s*g - g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (4 - 7))*(-10)\/(-40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14123919 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 12. Let r = h + -8. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 9 + 1. Let x(u) = u**3 + 6*u**2 + 6*u + 5. Let l be x(-5). Suppose -5*w + 23 + 21 = 2*c, -c + j*w + 22 = l. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 - 22*n + 68. Let z be l(2). Which is the nearest to -0.6? (a) -0.5 (b) z (c) 1\/235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 18*b**2 - 9. Let i = 48 + -39. Let m(j) = j**2 - 1. Let l(k) = i*m(k) - y(k). Let c(w) = -4*w**2. Give l(c(x)).\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:12 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1523, 3, 1, -4, 2, 5 in increasing order.\nAnswer: -4, 1, 2, 3, 5, 1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-16))\/((-510)\/714 - 460\/(-56))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10816 - 216. Round u to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 5 (c) -5 (d) -390\/23 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(30\/(-84))\/(-5))\/(57*13\/(-273))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*d - 441 + 27*d**2 + 441 wrt d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 2*k**2 - 3. Let y = -8 + 13. Suppose -2*n - 4*c + c = 12, -y*n = -2*c + 11. Calculate g(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5453\/(-16359))\/((-15)\/4*2\/(-3)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b - 17*b**2 - 4*b**3 + 18*b**2 - 21*b + 3*b**3 as o*b + w*b**2 + m*b**3 + j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/6 - g**3\/2 + g**2 - 7*g. Let f be y(14). Suppose -f = 5*t - 2257. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137006 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9393, 5.6, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let d(c) = -169*c. What is d(m(s))?\nAnswer: -338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r - 5*p + 20, 0 = 4*p + 20. Suppose -17 = -2*j + 2*y + 21, 2*j - 44 = 4*y. Which is greater: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(39)\/sqrt(3)*-1 + sqrt(13))**2 + (sqrt(13) - (sqrt(468) - (sqrt(468) + 0))).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*s + 362*s - 350 = 0. Let r be 5*(556\/s - -8). Let f = -6629\/141 + 47. Is r >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*d - 668 = 0. Let j = d + -89. What are the prime factors of 27\/18 + j\/4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 153*i**2. Let g(z) = 5*z + 72. Let o be g(-14). Let n(t) = 3*t**o + 314*t - 156*t - 158*t. Determine n(h(w)).\nAnswer: 70227*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 5 (c) 2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -13, -2, 1, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*x, 2*x - 5*f = -0*x - 11. Let w be 25 + (-6*(-1)\/2 - 4). Is 4 a factor of (3 + x)*w\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1*596\/(-894).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - sqrt(153)\/sqrt(144)) + -2)**2.\nAnswer: -7*sqrt(17) + 897\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 - 8 - 0\/(0 + -2). Let b be 3 - (2 + -3) - (-98)\/n. Suppose -13*j + b*j - 935 = 0. What are the prime factors of j?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -117. Let x = -33.626 + 0.126. Let c = o - x. What is c rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 135*q - 137*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 960983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/23)*i*i)\/i**(-3)*i**(-8)*i**(2\/9)*(i**12\/i*i**(-9))**(-5\/8) assuming i is positive.\nAnswer: i**(-3263\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145528315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*j**3 - 75 - 82*j**3 + 43*j**3 - 42*j**3 wrt j.\nAnswer: -264*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:36 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 419?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116758536 and 2132576.\nAnswer: 467034144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ba8dc (base 15) to base 10.\nAnswer: -4389507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 553*g - 35. Suppose -o = 13*o - 56. Is u(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 + 3*c**2 + 3*c**2. Let r(d) = -d**2. Determine -4*q(x) - 5*r(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -101*n + 94*n. Put n, 0, -0.2, 4 in ascending order.\nAnswer: -0.2, 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(15\/5))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(363) + -3))**2 + (-1 + sqrt(432))*-1.\nAnswer: -2388*sqrt(3) + 13393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 - 6*j**2 - 6*j - 8. Let v be (79\/(-10) - (-30)\/(-50))*2. Let l(f) = 14*f**3 + 17*f**2 + 17*f + 23. Calculate v*d(r) - 6*l(r).\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1154523*r - 1154542. What is i(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2536 - 1312 + 41*i - 1280.\nAnswer: 41*i - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**9\/30240 + h**8\/10080 - h**7\/2520 - h**6\/360 + h**5\/30 + 2*h**2. Let j(t) be the third derivative of q(t). Factor j(l).\nAnswer: 2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -74 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 4*j + j + 2 + 4*j. Let g(w) = -2*w + 2. Let s be g(2). Determine q(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 + 2*w**2 - 2*w + 6. Let h(a) = a**3 + a**2 - a - 1. Let x(c) = 4*h(c) + v(c). Let y be (0 - -8)\/(-2)*-1. Calculate x(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 188*t - 51992. Determine p(104).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 1995*t + 4002.\nAnswer: -3*(t - 2)*(t + 667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/84 - r**6\/15 - 7*r**5\/40 + 17*r**4\/12 - 2*r**3 - 1383*r. Let y(g) = 0. Calculate g.\nAnswer: -3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*y**3 - y - 937*y**3 + 3*y + 129*y**3 - y.\nAnswer: -1416*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.9 - -58.2. Which is the closest to 0? (a) s (b) 1 (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.2402kg to milligrams.\nAnswer: 61240200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 6*2\/3. Let f = 5 - d. Let g be (0 + 7 + -8)*-11 + -6. Solve 2*r + g*s - 5 = 7*r, -f*s = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.1 - -1.1. Sort -1\/7, d, 0.12 in descending order.\nAnswer: 0.12, -1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -166*t**2 + 7*t - 7. Let u(s) = 83*s**2 - 3*s + 3. Give -3*m(l) - 7*u(l).\nAnswer: -83*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - 7 - (3\/(-6))\/((-19)\/76). Let o = 0.2 + -0.6. Which is the third smallest value? (a) 0 (b) s (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1108 and -3\/8?\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k + 15*k**3 + 2 + 34*k.\nAnswer: 15*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 384862217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {y: 2, c: 7, t: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 156373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -1054?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 52 = -t, 3*t + 20 = -3*x - 2*t. Calculate the remainder when 138 is divided by 70*(x\/4 - -3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 175*q**2 + 10*q + 20. Let g be (11 - -1)\/(2 - 3). Let x be r(g). Suppose 2*f = f + x. Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c**2 - c + 1. Suppose -4*r = -1 - 51. Let b = 14 - r. Calculate v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p**2 + 67*p - 9. What is l(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 138 from -3767689213.\nAnswer: -3767689351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 11*a = -3*x + 50, -4*x = 0. Suppose -5*h + 10 = 0, 4*h - 3 + 240 = 5*m. Let f = m - a. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.1 + 21. Let q = 1\/126 + -37\/126. Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*u - i - 2*i, 5*u = -4*i - 10. Let w(h) = h**2 + 3*h + 2. Let y be w(-3). Solve y*k = -u*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 1 + 1. Suppose -9 + 31 = j*k. Let s(m) = -16*m**2 - 11*m. Let r(o) = 3*o**2 + 2*o. Let p(i) = k*r(i) + 2*s(i). Let z(c) = -c**2. Give p(z(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10312, 10313, 10314?\nAnswer: 10315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/39032748 and 67\/19516374?\nAnswer: 39032748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -11. Let j be s\/(-20) - 10\/(-24). What is the third smallest value in j, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137745 is divided by 2087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 74606 divided by 17\nAnswer: 74606\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - (-128)\/(-12). Let n = i - -7. Sort 3, -1, n in ascending order.\nAnswer: n, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 471537 and 123742740.\nAnswer: 14289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:31 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42864030 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.703 + -7.703. What is the nearest to l in -0.5, 0.1, 2\/17, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251116 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156 + 159. Solve g - 3 = 3*n + 4*g, -2*n - g = -m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3\/5 - 308356*y**2\/5 - 4317278*y\/5 - 15110816\/5 = 0.\nAnswer: -7, 154192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 2*z**2 - 4. Let i(b) = b**3 + 3*b**2 + 4*b + 2. Let v be i(-2). Let r be l(v). Solve -4*p + 32 = r*a, -4 - 3 = p - 4*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 140541.\nAnswer: -2\/46847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**7\/5040 + f**5\/20 - 3*f**2. Let o(b) be the third derivative of m(b). Give o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2002*r**2 - 1752*r + 30. Let i(c) = -34034*c**2 - 29783*c + 520. Let l(n) = -3*i(n) + 52*z(n). Find the second derivative of l(p) wrt p.\nAnswer: -4004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 3. Let l = t - 6.3. Let q = -5.3 - l. Which is the closest to 2\/3? (a) 2\/3 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13271.54 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011112211 (base 3) in base 16?\nAnswer: 14080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 35 - (1 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8384 and -176.\nAnswer: 1475584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -76.7. Let g = 0.2 - 0.4. Let q = c + g. Which is smaller: 14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119408?\nAnswer: 2, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(0 + sqrt(19) + 3 - sqrt(190)\/(-2*sqrt(10))) + 1.\nAnswer: -15*sqrt(19)\/2 - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.92 - -40. Let s = 1.1 - c. What is s rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 bigger than 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 33 + 3. Suppose 5*d = d - 4*a + s, -5*a + 25 = 0. Is d <= -17\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005050502 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000115141 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 - -113. What is the remainder when p is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x + 160 = -27*x. Calculate the remainder when 101 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f. Suppose a - 28 - 14 = f. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3\/(o*o*o**(-8\/7))*(o**(1\/12)\/o*o)\/(o\/(o*o**9*o)) assuming o is positive.\nAnswer: o**(1027\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3265\/2 + 1632. Which is the second smallest value? (a) -4 (b) 5 (c) 1\/6 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 127*l - 246*l - 7 + 130*l - 3. Calculate k(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/(-864))\/(3\/(-297)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2, 4, 95 in descending order.\nAnswer: 95, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45213336 rounded to 2 dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -66*w + 9. Let j(p) = 5*p - 3. Let m(h) = -8*j(h) - y(h). Calculate m(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 3*u = 9*f - 72, 52*u - 55*u - 9 = 5*f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 143*s**2 - 20*s - 48. Let l(x) = 48*x**2 - 7*x - 17. Give -6*j(g) + 17*l(g).\nAnswer: -42*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31036 (base 10) in base 9?\nAnswer: -46514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u**(-2\/7)*(u*u*u**(2\/3)\/u*u*u)**(35\/2) assuming u is positive.\nAnswer: u**(2431\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeetwtwtxexttxexwwx. What is prob of picking 1 w and 1 e?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -14. Let z be (40\/15)\/r*-6. Solve -2*o = -z*c - 1 - 3, -c = 4*o + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 12*z + 3*z. Let u(r) = 11*r + 67. Let g be u(z). Which is smaller: -2\/103 or g?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3384779?\nAnswer: 3384779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -378*t - 3780. Let z be p(-10). Solve -11 = -4*r - 3*c, -3*r = -z*c + 4*c - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 139*s - 1924. Let c(k) = 6 - 8*k**2 + 8*k**2 - k**3. What is the least common multiple of l(50) and c(0)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 4*r + 1. Let z be n(4). Suppose z = p - 2. Let v be 0 + 0 - (-4 - 0). Solve -o - 8 = -v*q, -q + p*o = -0*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399680 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*v**3 - 103968\/7*v + 912\/7*v**2 + 0.\nAnswer: -2*v*(v - 228)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - g + 584, 0 = w - 4*w + 5*g + 889. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b1af + -4?\nAnswer: -b1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5 + (-2 + 3 - 3)*(-4 - 3 + 6))*(3 + 1 - 5)*(0*t + 3*t + 0*t).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 6. Let i = h + 4.3. Let w = -364 + 369. Which is the smallest value? (a) i (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157 + 307. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/26)\/((-70)\/(-455)). Let h = 2\/83 + 245\/166. Which is the fourth biggest value? (a) u (b) 1 (c) 4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1726337759 to the nearest integer?\nAnswer: 41549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w + 5*w - 19*w**4 - 26*w wrt w?\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/j)**33*(j*j**(-4\/9))\/(j**18*j) assuming j is positive.\nAnswer: j**(-2149\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10*m - 146*m**2 + 144*m**2 - 1)*(1 - 1 + 2*m).\nAnswer: -4*m**3 + 20*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -23, 4, -167 in increasing order.\nAnswer: -167, -23, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -42. Let n = p + -23. Let z(y) = -1761*y**3 - y - 1. Is z(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/(-16) - (-63)\/36. What is the common denominator of 53\/185 and (17\/1)\/(4 + 1 + x)?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 975 and 6240.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 972864 and 38592.\nAnswer: 65181888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 f when three letters picked without replacement from hfhfhfffhh?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3900 + 4034. Solve -16*z + 54 = i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*l - 2*l + 8 = 0, -3*d + 4*l + 10 = 0. Solve 16 = -4*f - 5*a, -d + 14 = -3*f - 3*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 + l + 2. Let b be u(3). Let s = b - 6. Solve -1 - 1 - 8*o + s*o**3 + 4 - 2*o**2 = 0 for o.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.13 * -1.629\nAnswer: -11.61477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1158787522 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**4\/4 + 20*z**3\/3 - 19*z**2 - 63*z - 237. Is a(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*m - 1668 = 38*m. Solve 22*q + m = 34*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbyeebyybqyb. Give prob of picking 2 q and 1 e.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -21) + 1 + (34 - 44)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1958, 1848, 1738, 1628?\n\"Answer: -110*m + 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 0*r + 2*r**2 + 9 + 7*r. Is l(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/110 and 10\/223047.\nAnswer: 2230470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*k*z**4 - 3*k*z - 2*z**4 + 68*z**3 + 759*z**2 wrt z?\nAnswer: 168*k*z - 48*z + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f = 4*s - 27*f + 6, -10 = -4*s + 3*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 - 5*o**3\/3 - 7*o**2\/2 - 3*o - 11. Factor j(h).\nAnswer: -(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a8600 (base 11) in base 4?\nAnswer: 2130132221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 335*p**4 + 342*p**2?\nAnswer: 8040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1474 (base 8) to base 11.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9761047?\nAnswer: 2393, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1428800 and 7050?\nAnswer: 4286400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 61, 11.25 in descending order.\nAnswer: 61, 11.25, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fnfffffnffnffnfffff.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1931605 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-50)*7960\/6368)\/(2\/80)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*n + 130*n = -129*n - 11186. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7898, -7189, -6474, -5753?\n\"Answer: 3*t**2 + 700*t - 8601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*h - 2*h - 3*x, x = h - 13. Suppose 4 + h = s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 9, -3\/7, -3.\nAnswer: -5, -3, -2, -3\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -4 + -38 + 2 + (-12 - -31).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74954974 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 176?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -319908*u - 1919430. What is k(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91 in 2\/159, -0.03, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, 6 in ascending order.\nAnswer: -3, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (73\/20 - (-68)\/(-170)) + -5. Which is the closest to 2? (a) -2\/9 (b) r (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*i - 46*i - 42*i = 0. What is the closest to i in 2\/23, 0.1, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3) - (-208658)\/102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3\/2 + 70*r**2 - 385*r\/2 + 125 = 0.\nAnswer: 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 39.81279g?\nAnswer: 39812.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.628942 rounded to 2 dps?\nAnswer: -11.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l. Let d(k) be the first derivative of 36*k**2 - 4*k - 115. Determine c(d(g)).\nAnswer: -216*g + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10 and (-5)\/25 - 198\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:22 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*z**4 - 640*z**3\/3 + 75*z**2 + 55*z\/3 = 0. Calculate z.\nAnswer: -11, -1\/6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 9*v - 2. What is d(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1362062, 1362054, 1362044, 1362032, 1362018, 1362002?\n\"Answer: -f**2 - 5*f + 1362068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 43*f + 6 = 0. Solve s - 2*m = -f*s, 2*m = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 79 - 73 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02714969 to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 56256 - 56237 = -5*u, -u - 47 = 6*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857189.\nAnswer: 97, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r - 6. Let l(p) = -2*p**2 + 3*p + 2. Calculate l(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 1 - 1)*(-4*j**4 + 3*j**4 - j**4) + (j**3 + j**3 - j**3)*(6*j**2 - 2*j**2 - 2*j**2).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-1 - 0))*-3. Suppose -10 = m*v - l, 3*v + 26 = 2*l + 3*l. Let d be -1 + 1 + (-1)\/v. Which is the nearest to 1? (a) -4 (b) -3\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237.9 + -238. Let w(b) = -101*b + 810. Let x be w(8). Let j be (-2)\/12*(4 + 0). What is the closest to j in 1\/2, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 16*f - 6*f)*(0*f**2 + f**2 - 21*f**2) as r*f**2 + a*f**3 + g + x*f and give a.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147887674.\nAnswer: 2, 11, 641, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 120 = 7*z. Solve -z = 5*i - 4*o, 3*i - o + 4 = -13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 3.08. Let i = j - -2.94. Let v = 0.04 - i. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 0. What is the lowest common multiple of 50 and j?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 2*h**5\/15 - h**3\/6 + 443*h**2 - 3. Let z be 6\/(-8) - 4\/16. Calculate d(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 2 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26f4a5b - 1?\nAnswer: -26f4a5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from xggggggxggxxggxggg?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 10495479.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -l, -8*u + 3*u - 3*l = 6. Solve u = 16*v + 98 - 178 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -418*z**2 + 6*z - 4. Calculate p(1).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232*1.48.\nAnswer: 343.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43\/2 in -11, 2\/7, -10, 105?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**2*m - 28*g**2*p**2 - 4*g*m*p**2 - 2*m*p**2 - 3*m*p + m + 1 wrt g?\nAnswer: -8*g*m - 56*g*p**2 - 4*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 10:38 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 933354.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 26.2. Let v be ((-2)\/(-1) + -3)*-2. Let s be ((-4)\/12)\/(v\/4). What is the nearest to 0.1 in g, s, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Let g be (-1 - 14) + (m - -1). Is 15 a factor of (-1062)\/(-42) + 4\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -5*a - 102*t + 106*t, -a + 64 = 4*t. Calculate the remainder when 536 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136.5 + 0.03.\nAnswer: -136.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 + 9*l**3 + 84*l**2 = 0 for l.\nAnswer: -4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2. Let s(v) = 148156*v**2 + 14*v. Calculate s(a(k)).\nAnswer: 592624*k**4 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 7*g + 4. Suppose -n - 4*n = -15. Suppose 0 = -2*f - n*j - 24, f - 3 = 3*j + 3. List the prime factors of p(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.4. Suppose 2*q - 12 = 2*t - 7*t, 0 = -5*t + 3*q + 7. Is t equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316902472 to the power of 1\/3, to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, 2\/3, 0.839?\nAnswer: 0.839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -274, -205, -114, 5, 158, 351, 590?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 34*y**2 + 239*y + 2. Determine z(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 442, -1, 0, 28, 4 in descending order.\nAnswer: 442, 28, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -234\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-30))\/(4\/10). Suppose l = -y*l + 3. Differentiate -8*x + 2 + 7*x - l wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (18 - 7) + (28 - 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5416277639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -5 (c) -2\/5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - -0.39. Let d be (2\/3)\/(2\/(6\/17)). Which is the biggest value? (a) h (b) 1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*l = 2336*l - 44172 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1243 = -0.211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 155. What is the remainder when v is divided by 3 + (-170)\/17 + -4 + (26 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 284766*m**2 + 10136601726*m + 10136316962.\nAnswer: 2*(m + 1)*(m + 71191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -1424. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1610)\/(-345) - (-154)\/(-28).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2021200220022 (base 3) to base 16\nAnswer: -1287e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/7, 3\/2, -3, -15, -5\/3 in descending order.\nAnswer: 3\/2, 3\/7, 0, -5\/3, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + m = 8 - 5, 0 = -2*u - 3*m - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/6 - 44\/(-1122)*-17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 2) + -4 + -2 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 1304*g + 12.\nAnswer: -1304*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 182697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*3\/(-18)*-3. Suppose -5*g = -b - 3*b - 4354, -3*g = 2*b - 2608. Is g\/25 - (-1)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**7\/126 + 29*k**6\/135 - 4*k**5\/15 + 27*k**3 - 11*k. Let f(v) be the second derivative of h(v). Factor f(q).\nAnswer: 4*q*(q + 12)*(5*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 + 1. Let t(d) be the first derivative of 0*d - 24 - 1\/2*d**2. Determine t(z(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5127023739.\nAnswer: 3, 769, 2222377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784 and 13426.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.022 (b) -0.5 (c) 0.384 (d) -2\/9 (e) -4 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0 + 2*l + 0 + 1 - 3*l. Let d be o(-5). Solve -d = -2*z - 0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 28*g**2 + 7*g. Let l(x) = -2*x**3 + 27*x**2 - 6*x. Calculate -7*l(y) - 6*s(y).\nAnswer: 2*y**3 - 21*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 - 2*h**2 + h**2 + 71 - 19*h + h**2.\nAnswer: -13*h**2 - 19*h + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 2, q: 1, u: 1, p: 1, f: 1}. What is prob of sequence pzuq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 7*u - 28. Solve -4*a = 16, u*a = -5*z - 2 + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/1 - (-5432)\/(-1952). Let b = p + 2\/61. What is r in -1\/4*r + b + 1\/4*r**3 - 1\/4*r**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165\/(-45)*(-14196)\/(-1859)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4 + 432*w**3 + 76431*w**2 - 2884860*w = 0.\nAnswer: -124, 0, 33, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.2897 months in centuries?\nAnswer: 0.02607475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 14*k**2 - 2*k + 9. Does 41 divide y(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61270, -61268, -61266, -61264?\n\"Answer: 2*r - 61272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/2 - 12\/8. Suppose -z + 3*z + l = 0. Sort z, 3, -2 in descending order.\nAnswer: 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 0, 2.071, -2\/3, 3\/14 in ascending order.\nAnswer: -2\/3, 0, 3\/14, 2.071, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 231?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 20*n**3 + 14*n**2 - 175*n - 13. Let q(s) = -7*s**3 - 4*s**2 + 58*s + 4. Give -7*q(u) - 2*y(u).\nAnswer: 9*u**3 - 56*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1380 divided by -12.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_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: (-30)\/84*(-208)\/390\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/(-207)*(-9)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92743\/12 + 7722. Calculate the common denominator of -121\/10 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 331*f - 2608 = 370*f, 2*q + 2*f + 325 = -3*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -0.4, -2, -58 in descending order.\nAnswer: 43, -0.4, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35634*b + 3206.\nAnswer: -35634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 2*z, 330*c + 3*z + 233 = 560 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 177314068 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopppopopppop. Give prob of sequence po.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 87379.849?\nAnswer: -87380.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 2, w: 1}. Give prob of picking 1 g and 2 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -6, 2\/13, -1\/15, 0.2 in increasing order.\nAnswer: -6, -0.5, -1\/15, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55019951 - -55019973.239983. Let r = n - 29.23998286. Let a = r + 7. Round a to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 9*a + 9. Let s be m(-6). Let j(h) = 7*h + 35. Let g be j(s). Which is bigger: -29 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1908 + -1883. Calculate the greatest common divisor of 125 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329120 divided by 484.\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 26*b = 84*b - 465. Let d(q) = -q**2 - 2*q + 5. Let x = -27 - -24. Let l(g) = -g**2 - g + 3. Determine b*l(m) + x*d(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + -3*(sqrt(1872) + -2 + sqrt(1872) + 3 - (-1 + sqrt(1872)*-1))*-1 + 4)**2.\nAnswer: 1296*sqrt(13) + 151668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/336)\/(-13)*-3*32\/24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -295?\nAnswer: 3\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*i = -362*i - 2500. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 7*q = -i - 1, -4*q = 4*i + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13537822, -27075647, -40613472?\n\"Answer: -13537825*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605086484 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*f = -17, a + 5*f = 6*f + 5. Let g be a\/(2\/6)*(-119)\/(-459). Is g != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -75*l + 14329. Determine b(189).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13373742 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41977.1060128 + 41977. Let i = 0.106 + w. What is i rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 4*j**2 + 7*j**2 + 2*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -83. What is the nearest to 1 in g, -0.1, 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*i**2 - 856*i**2 + 430*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 103, 0.1, -1.02?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/4 - (0 + 3). Is y at most 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhahahozhjhhhhhh. Give prob of sequence aha.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/3)\/b)*b*b**(-4)*(b*b*(b\/(b*(b\/(b\/(b**(-1)\/b)))\/b))\/b)**6)**44 assuming b is positive.\nAnswer: b**(3080\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 + 10*d**2 + 56*d - 64 = 0. Calculate d.\nAnswer: -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i = -97 - 23. Suppose i*y - 4 = 30. What is the greatest common factor of y and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) + 4\/((-20)\/5). Sort 1, 39, t in decreasing order.\nAnswer: 39, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*a - 882 - 262. Suppose 28 = 3*p - a. What is the remainder when p is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + w + 1. Let h(t) = t**2 - 2*t - 2. Let d(q) = -3*g(q) - 2*h(q). Let b be d(4). What is the greatest common factor of 84 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/((-9)\/(-26))*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8068232, -8068234, -8068236?\n\"Answer: -2*a - 8068230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.1 (b) -3\/5 (c) -10 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*((-54)\/20)\/(-27)*(-864)\/(-90)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*128\/(-160).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 33*y - 224. Let d be w(-10). Let t(z) = -z**3 + 7*z**2 - 4*z - 11. Determine t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5 - 3*n + 0*n**3 + 2*n**3 - 3*n**3 + 3*n**2. Let x(t) = -t**2 - 5*t - 4. Let i be x(-5). Is g(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rprpprrppprpr?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21634 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.74 plus 9?\nAnswer: 10.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24371*n*w**5 - 56*n*w**4 + n*w**2 + 105*n - 383*w wrt w.\nAnswer: 1462260*n*w**2 - 1344*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 5. Let o be b(-4). Suppose -2*c = -3*c + 5, 52 = o*i - 4*c. Solve -2*d = -d - 5*v - 22, 2*d = 5*v + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/19 + (1 + 1 - -166)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 188\/5922 + (1 - 2) and -35\/918.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p - 541799 = 3*k, -4*k - 4*p - 722404 = 0. Round k to the nearest 1000.\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-130)*50*(-81)\/(-3240).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-44) - (-10)\/(-55). Let t = 1.6 - 2. Are s and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 461155430 + 13?\nAnswer: 461155443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w + 3*w + 3*w + 18*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 272157498 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6*a - 20. Let c(o) = o**3 + 6*o**2 + 3*o - 5. Let f be c(a). Solve 3*g - g = f*i + 20, 5*g + 4*i = -16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:04 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4 + 12074*z**3 + 14203326*z**2 - 28442882*z + 14227480 = 0.\nAnswer: -4435, -1604, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4, -400, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -3\/34 (c) 22\/3295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkh when three letters picked without replacement from hkgcgchkcthhhdh?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - q**2 + 0*q**2)*(-17 + 5 - 6 - 18 - 5 + 2 + 4 + (2 - 1 + 0)*(0 + 5 - 4) + 3 + 1 - 5 - 1 + 1 + 1).\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68194239.\nAnswer: 3, 4073, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 756*s + 71442.\nAnswer: 2*(s + 189)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyiirvvii. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j, s + 4*j - 20 = -7. Let y be (-18)\/(-3)*4\/s. Let h(r) = r**2 + 8*r + 2. Let q be h(y). Solve -q*p + 5 = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2. Let a(q) = 1822 - 1822 - q**2. Give a(p(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*u - 814 = -2*u, 2*y = -u - 521. Let f = y + 374. Calculate the remainder when f is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6))**(2\/121)\/((a**5*a)\/(a\/a**(-3\/4))) assuming a is positive.\nAnswer: a**(-6175\/1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**4\/12 - 31*b**3\/6 - 157*b**2\/2 + 596*b - 2. Give k(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:45 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (834\/(-973))\/((-6)\/98). What is the second biggest value in 5, -0.01, 1\/4, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 484283426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (1 - (-18)\/2). Let p be 1\/4*24\/3. Suppose p*s - s = j. What is the remainder when 23 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/2 (b) 26 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 452127 + 452127.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -10, -3.\nAnswer: -10, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -205. Let s = -3411.2 - -3271. Let v = s - f. Which is the closest to 0.2? (a) 3 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3860\/67 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = 77 - 131 + 224 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 2 - j**4 - 3998*j**3 + 2001*j**3 - 3*j + 2009*j**3 to t*j**4 + d*j**2 + u + l*j + w*j**3 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i\/((i\/i**(-3))\/i)*i)\/(i\/(i\/(i\/(i\/(i\/(i*i**(-3))))))*i*i))\/((i\/i**5)\/((i*i**(-2)\/i)\/i))*((i\/(i**(2\/5)\/i))\/i**5)**(-20\/3) assuming i is positive.\nAnswer: i**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 8*j - 5802. What is j rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(2 + 9\/12). Let l(f) = f - 7. Let v be l(o). Suppose v*k = -5*h + 65, 8*h + 25 = 5*k + 3*h. Solve -26 = -4*g - k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 360.24 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(7) - (-2 + -1*sqrt(7) + sqrt(7))) + (sqrt(700) - (1 + sqrt(700))) - 6*sqrt(700)*4).\nAnswer: -239*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/7 - 3084*p\/7 - 1188882\/7 = 0. Calculate p.\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11598946 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:50 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 26*i - 589. Give p(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 0.3, -1\/69.\nAnswer: -1\/69, 0.3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/(-3) - (-1 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {x: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*j + 6 = -1, -3*j - 9 = 0. Let v = c - 7. What are the prime factors of v\/(-6) + (-160)\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w*x + 1033*w - 167*x wrt x.\nAnswer: -2*w - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 5:04 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143990 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 63. Let l be 3\/(-5) - h\/35. Let d = -11 + 13. Sort d, l, 7.\nAnswer: l, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5341956541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 3. Let k(a) = 7*a + 14. What is k(j) + 2*r(j)?\nAnswer: 5*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**2 - 34*l**2 + 64*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -314*s**5\/5 + s**2 - 282*s + 69. Find the second derivative of k(a) wrt a.\nAnswer: -3768*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 39*x**2 - 10*x - 1105. What is m(38)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80608 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (-198 - -177)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 3*d - 19 = -32*z, -2*z - 2*d = -10. Solve z*v = k - v - 18, -2*k + 3*v = -21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4\/5 + 142*n**3\/5 - 348*n**2 + 5192*n\/5 - 4592\/5 = 0.\nAnswer: -82, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d - 21. List the prime factors of f(-18).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -0.7. Let f = -53 + 55. Suppose -4*x = -m - 22, f*x - 12 = -0*x + m. Which is the smallest value? (a) o (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1900))**2 + 1 + sqrt(19) + -2 + (-5 + sqrt(304) - sqrt(1900)*-2).\nAnswer: 25*sqrt(19) + 68394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9514527 is divided by 536.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -25\/4 (b) -2 (c) 0.5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+128.8\nAnswer: 129.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450112 - 4?\nAnswer: -450120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 94\/3 + 8\/12. Suppose 0 = -g + 672 - j. What is g rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -185*m**2 + 18*m - 1. Let t(h) = -543*h**2 + 51*h - 3. Give 11*k(v) - 4*t(v).\nAnswer: 137*v**2 - 6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22483?\nAnswer: 22483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 980022 to the power of 1\/2, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 767 - 763. Let p be 2\/((-6)\/3) - 3. Sort z, 3, -2, p.\nAnswer: p, -2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 5*x - 1. Let p be v(-7). Let r = 25 + p. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 185 (b) 5 (c) -0.01 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -174, -180, -190, -204, -222?\n\"Answer: -2*o**2 - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9833.687us in nanoseconds?\nAnswer: 9833687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2909 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26012, 26035, 26058, 26081, 26104, 26127?\nAnswer: 26150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 17, s: 2}. Give prob of picking 1 p and 1 s.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 34. Let w(q) = q**2 + 5*q + 5. Let z be w(-5). Solve -n = z*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 + 88 - 6 - 35 + 109)*(-9 + 4*u**2 + 9).\nAnswer: 884*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 3*j**5\/5 + 9*j**4 + 54*j**3 + 162*j**2 + 243*j - 2. Factor b(h).\nAnswer: 3*(h + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206800 rounded to the nearest 1000?\nAnswer: -207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*x - 3. Find the third derivative of -3*k**6 - 3 - 2*k**x + k**6 - 4*k**2 + 2*k**6 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u + 5*u)*(0 + 2 - 4) + 21*u - 6*u - 21*u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.875 rounded to the nearest integer?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96.05 - -94. Let d = -28466.2 - -28464.14917. Let x = r - d. Round x to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157850737 - 3.1\nAnswer: -157850740.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**5 - 129271*z**4 + 1713530*z**3 - 420303*z**2 = 0. What is z?\nAnswer: -32331, 0, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 467\/11?\nAnswer: 467\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j**2 - 17*j + 4. Let q(c) = 7*c**2 + 9*c - 2. Let z(u) = -11*q(u) - 6*x(u). Let k(f) = f**2 - 6*f - 3. Let i be k(6). Determine z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from uauuurpauaurau.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**2\/(r*r*(r*(r*r*r**4)\/r)\/r)**(9\/4) assuming r is positive.\nAnswer: r**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 26*n - 9984 = 0. Let r = -322 - n. Is 46 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -25, -5*t - 5*d + 3*d + 775 = 0. Suppose f + t = 2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - -493325.\nAnswer: 493324.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2377532 is divided by 75.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 - 78*j**2 + 222 + 207 - 641.\nAnswer: -78*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73445, 73448, 73451, 73454, 73457, 73460?\nAnswer: 73463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3\/6 - y**2\/2 + y. Suppose -5*h + 2 = 4*r + 3, 2*h + 5*r - 20 = 0. Calculate n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from uullurll.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/(u*u*(u**(-1\/14)\/u)\/u)*(u**2)**(-1\/90) assuming u is positive.\nAnswer: u**(4441\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/5*(-3)\/(-6). Let t = 2 + 2. Sort t, -13, r in decreasing order.\nAnswer: t, r, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24242090 and 138.22.\nAnswer: -24241951.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295149 is divided by 147570.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttz when three letters picked without replacement from tytgzyycytyztc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 10. Let x be l(8). Let h be (-24579)\/x*(24985\/3 + 1). Suppose 5*w + h = -4*g - 58836658, -3*w = 0. What is g rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m + 22. Suppose -1098 + 318 = 78*s. Give r(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 24334\nAnswer: -24333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n**2 + 10*n + 5. Is j(6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 89, 137, 185, 233?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/(k*k\/(k**(-1\/4)\/k)))\/(k**0)**(-25))\/(((k*k**(-2\/3))\/k)\/(k*k\/(k**0\/k))*(k**1*k)**19) assuming k is positive.\nAnswer: k**(-463\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/93 in 2, -1, -0.2, -115, 5, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 18. Let g = s + -1. Suppose -g*p = 2*p - w - 365, 5*p - 340 = -4*w. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -79274488?\nAnswer: -79274480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -22. Is -0.1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -27. Solve -c - 3*h = -g, c - 2*h + 2 + 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2389153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and 38384.\nAnswer: 38374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 89*d**2 + d - 94. Give u(89).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10\/(o\/(o\/(o\/(o**(7\/4)\/o)))*o))**(4\/19) assuming o is positive.\nAnswer: o**(35\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.39, -1\/6, 2, 3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -122 (b) 7 (c) 3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -78, -79, -80?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + p - 18 = 3*p, 0 = -l + 2*p - 6. List the prime factors of ((-4)\/(-10))\/(l\/(-160)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-19 - 105)\/(-31)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -46. Suppose 2*h - m = 118. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w - 5*w + 0*w)*(-3 + 4 + 3) to the form o + y*w and give y.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(sqrt(171) + sqrt(171)*-5*4))\/((2*sqrt(99)*-1 + sqrt(99))\/(4*sqrt(44))).\nAnswer: -1824*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + -1.97. Let l = -867 + 862. Which is the biggest value? (a) 2\/9 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 1 + 4*l + 1)*(-8 - 1 - 7*l + 10).\nAnswer: -14*l**2 - 12*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 2)*(0*v + v**3 + 0*v) + (-3 + 3*v + 3)*(-3*v**2 - 2*v**2 + 7*v**2) - 2*v**3 + 2 - 2 to o*v**3 + d + u*v**2 + h*v and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 - 11. What is v(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 27. Let f be x(6). Suppose 0 = -7*l + 3 + 18. Solve -t = f*o + o, -l*t = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -130*w - 1400. Let s(x) = -47*x - 467. Give -11*s(b) + 4*v(b).\nAnswer: -3*b - 463","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289969 to the power of 1\/2, to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-432))\/((-70)\/8). Let o(d) be the third derivative of 0*d - 1\/108*d**4 + 0*d**3 + i*d**7 - d**2 + 0 - 1\/180*d**6 + 1\/90*d**5. Factor o(w).\nAnswer: 2*w*(w - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + v - 1199998, 0*v - 3*v + 2999994 = 5*g. Round g to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 + 16274764*n\/7 - 2324966.\nAnswer: -2*(n - 8137381)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 2*z - 2. Let g(o) = o**3 - 9*o**2 + 34*o - 37. Let m(q) = g(q) - 5*t(q). List the prime factors of m(14).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 84 + 7*t**2 - 3*t**2 + 2*t**2 + 2*t**2 + 2*t**2 + 1 - 1 + (-t + 0 + 0)*(t + t - 3*t) + t**2 + 0*t + 0*t + t + t**2 - t)*(-1 - 1 + 1)*(2 - 3 + 2).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**3 + 330*q**2 + 114680*q = 0.\nAnswer: -122, 0, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/27 + 242\/672. Let d = i + 167\/2128. Let l = -2 - -1. Which is bigger: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - (1 + 1)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/17)\/(m\/(m\/(m*m*m**(2\/13))))*(m**(1\/2)\/m)\/(m*m*(m**(-13)\/m)\/m))**(13\/6) assuming m is positive.\nAnswer: m**(4625\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**5\/70 + d**4\/42 + d**3\/21 - d**2\/7 - 29*d. Factor q(k).\nAnswer: -2*(k - 1)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (0 + -2 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 5*d**2 + 11*d + 3. Let q be o(7). Let b be (-4)\/(-5)*3\/q*-15. Solve 27 = 4*y + 5*w, -3*y + 6*w - b*w = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641 - 19202*q + 45 + 112*q**2 + 19202*q.\nAnswer: 112*q**2 - 596","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 145635, 146262, 147959, 151260, 156699, 164810, 176127?\n\"Answer: 89*b**3 + b**2 + b + 145544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296 or -297?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-841)\/(-5))\/(-1 + 2). Let l = a + -169. Suppose 0 = -4*b - 1 - 3. Is l less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04599031 to 4 dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:01 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 - 3*k - 2. Let y(l) = -2*l**2 + 4*l + 3. Let i(v) = -v**2 + 3*v + 2. Let p = -17 - -15. Let b(a) = p*y(a) + 3*i(a). Calculate 3*b(n) + r(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.00139, 4, -2\/5, -1\/4?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3410 + 32?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6) - (-286)\/(-273)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8656159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 15*z = -18. Let t(j) be the second derivative of 3*j + 1\/12*j**3 + 1\/48*j**4 + 0 + 0*j**z - 1\/120*j**6 + 1\/168*j**7 - 3\/80*j**5. Factor t(p).\nAnswer: p*(p - 2)*(p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*o**2 - 23*o**4 - 72*o**2 + 570*o + 0 + 0 - 575*o as v + r*o + g*o**2 + n*o**4 + b*o**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5 + 534*o**4 + 2106*o**3 + 3144*o**2 + 2091*o + 522 = 0.\nAnswer: -174, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i - 43*i + 1338*i**2 - 45*i + 138*i.\nAnswer: 1338*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264731950 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhw when three letters picked without replacement from {h: 2, a: 1, f: 5, w: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (317*a - 42*a - 40*a + (3*a - 3*a + 2*a)*(-4 + 2 + 0))*(-a + 0*a + 0*a) in the form s*a + n*a**2 + y and give n.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let c(d) = 275*d + 6 - 276*d - 5. Let n(v) = -7*v - 11. Let r(b) = 6*c(b) - n(b). Give x(r(w)).\nAnswer: -w**2 - 34*w - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 251 and 4?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 + 70*l**4 + 942*l**3 + 3170*l**2 + 2300*l = 0. What is l?\nAnswer: -5, -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**5\/(g**(1\/8)*g**(2\/15)) assuming g is positive.\nAnswer: g**(-631\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19628188, -19628203, -19628232, -19628281, -19628356, -19628463, -19628608?\nAnswer: -19628797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12942, 12943, 12944, 12945?\n\"Answer: z + 12941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5*t + 31803*m**3*t**3 + 2*m**2*t**3 - 23847*t**3 wrt m?\nAnswer: -60*m**2*t + 190818*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -29503*i**2 + 5611*i - 5611*i as b*i + h + u*i**2 and give u.\nAnswer: -29503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16811298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-63)\/(-24) - 4. What is the closest to 0 in -3, 3\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.929 + -0.171. Let y = -8 - u. What is the nearest to -1\/3 in 1\/5, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/((-108)\/(-432))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 338046 - 337123 - 5*k + 675169 + 4*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268270*u**2 - 32783*u.\nAnswer: 536540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 - 76*r**2\/3 - 7712*r\/3 - 5104\/3 = 0 for r.\nAnswer: -22, -2\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-21))\/(2\/7). Let b = -1 + w. Solve b*u = 6*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -536.74 * -3.\nAnswer: 1610.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*z - 462*z - 5*v - 22 = 0, 0 = 4*z + v. Let p(m) = 4*m - m**2 - 3 + 4 - 5*m. Let w(l) = -9*l**2 - 14*l + 4. Let a(r) = z*w(r) - 4*p(r). Factor a(d).\nAnswer: -5*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -88.84518.\nAnswer: 17.769036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 164, 443, 852?\nAnswer: 1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 m when four letters picked without replacement from {l: 8, m: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5216 + 15797 = -1814*n - 13002 - 12697 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8 + 18 - 4*k - 10. Let o(y) = 5*y**2 + 3*y**2 - y**2 - 5*y**2. Calculate l(o(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = k + 14 + 7, 5*k - 5*x + 30 = 0. Let h = -19 - k. Let b be (-1)\/(-15)*20\/h. What is the smallest value in 2, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + -94?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -12867396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiofo. What is prob of picking 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 75.7 (b) -0.2 (c) -14 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -23. Let g be -2*q - 24\/(-6). Let i = 7 - 2. Put 1, g, i in increasing order.\nAnswer: g, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779084?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1952 and -87\/60760636.\nAnswer: 486085088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36207280 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b125 (base 13) to base 14\nAnswer: -8c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, d: 13}. What is prob of picking 2 r?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -51*w. Let b(m) = -716511*m. Give o(b(q)).\nAnswer: 36542061*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4113341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -2*m**2 + m - 33. Let z(h) = -5*h + 1. Determine 7*x(l) - 6*z(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 3*m + 1129. Let o(z) = 3*z**2 - 1. Determine y(o(i)).\nAnswer: -9*i**4 - 3*i**2 + 1131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -8, -4, -2 in decreasing order.\nAnswer: 110, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 116286794 divided by 564499\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eed. Give prob of sequence ed.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4212213 (base 9) in base 8?\nAnswer: 10456427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(108) + 1 + sqrt(108))*4 + -4.\nAnswer: -8 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5834 + 12351. What is the highest common factor of 147 and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 + 3*q**2 - 10 - 3*q**2 - 12*q + 2*q**2. Suppose 0 = 4*w - 2*n + 36, 4*w - 4*n = 5*w. What is the common denominator of p(w) and -17\/58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 7:40 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 + -578. Let b = m + 481. Suppose q - 4*r = 2 - 5, -5*r = 4*q - 72. Calculate the remainder when b is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(14\/5)*m**(-29)*m*m*(m**(-1))**35 assuming m is positive.\nAnswer: m**(-296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.178 less than -0.2679692?\nAnswer: -0.0899692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*52\/(-117)*-10*(-6)\/16*-9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5757*r**2 - 13930*r**2 - 20179*r**2.\nAnswer: -39866*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 902*s**3 + 25*s**2 + 2*s - 2 + s**4 + 8 - 902*s**3 to the form k*s + a*s**4 + x + u*s**3 + p*s**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18 - 43 + 278*i - 57 - 142*i wrt i?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 7:14 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {w: 1, n: 1, j: 13, s: 3, l: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 - 13*h**2 - 22*h - 17. Let v be y(-8). Suppose -7*o + v = 4*o. Which is smaller: o or 126?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 15*f**2 + 12*f + 1. Determine i(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4 - 64*f**3\/3 - 130*f**2 - 200*f + 3031. Factor g(z).\nAnswer: -4*(z + 1)*(z + 5)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 b when three letters picked without replacement from ebeeeeeeeeeee.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -16*t + 3. Let h(n) = -22*n + 4. Let a(f) = -3*h(f) + 4*z(f). Let m(y) = -2*y**2 - 8*y**2 - 6*y**2. What is a(m(p))?\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 7*c + 2186. Let d be r(50). Which is greater: -77 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:10 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/23 + 5\/(-345)*-489. Suppose -68008 = -15*f + i*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7315*r**3 - 3*r**2 + r - 2. List the prime factors of m(1).\nAnswer: 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -2*v - 2*v. Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 9:55 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26\/7, 57.8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 5*s. Let g(l) = l**3 - 3*l. Let j = 17 + -13. Suppose 0 = 4*z + p - 24, -j*z + 25 = 4*p - 11. Calculate z*g(m) - 3*u(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**4*c*c)\/c*c*c)\/(c\/(c**(-1\/17)*c*c)*c))\/(c**(-4\/3)*c\/(c*((c**6\/c)\/c)\/c*c*c)))**36 assuming c is positive.\nAnswer: c**(8124\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 6 + 876 + -2. Is a\/8*3 + 3\/(-8) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g - 72. Let h be k(14). Calculate the highest common divisor of 280 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = -4*r - 5*u + 24, 0 = 4*r + 6*u + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37223 is divided by 517.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1080060, 1080052, 1080038, 1080018, 1079992, 1079960, 1079922?\nAnswer: 1079878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 621012?\nAnswer: -620662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = 3*j - 76, -3*j - 38 = 2*y. Let p = y - -17. What is the second biggest value in p, -4, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (931\/38)\/(17248\/(-1408))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202\/97, -1\/5, -1, 0.3, 0.07 in descending order.\nAnswer: 0.3, 0.07, -1\/5, -1, -202\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 9:15 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = -170 + 222 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 2*x - 2 + 7 + 0*x**2 + 6*x. Let g be h(8). Solve -4*c + g*b - 21 = 0, -2*b + 2 = 2*c - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 7 = 731*u - 733*u, 5*u - 5*k - 25 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*d + 7 - 11, 14 = z + 5*d. Let x be 18\/z - (-9 + 17 - 5). Solve -3*c**3 + 0*c - 3\/2*c**2 - x*c**4 + 0 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from {u: 4, k: 3, q: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2c6910 (base 15) to base 16\nAnswer: 20c8bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -50, -1, -366.56, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + -1311?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*h + 97*h - 39*h**2 - 50*h in the form q*h + u + l*h**2 and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127669989.\nAnswer: 3, 653, 65171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*n**4*q**2 + 41*n**4*q - 4*n**3*q**2 - 3*n**2*q - 1601*n*q**2 - q**2 wrt n.\nAnswer: 984*n*q**2 + 984*n*q - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**4\/12 + 156*z**2. Let c(r) = 9*r**2 - 5*r. What is c(l(i))?\nAnswer: 36*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 859, 2074, 3275, 4456, 5611, 6734, 7819, 8860?\n\"Answer: -w**3 - w**2 + 1225*w - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/94646 + -6481901\/42590700. Find the common denominator of 89\/900 and b.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11100\/(-2220)*(4\/(-5))\/2. What is the fourth biggest value in v, -8, -5, -1\/3, -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(10\/15)*38. Suppose n + 5*y = a, -4*n + 229 = y + 1. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197624 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4087000 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39397*u**4 - 1027*u**3 - 155799827*u**2 wrt u?\nAnswer: 945528*u - 6162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1064 divided by 38\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5 - 1. Let g(p) = -p - 9. Let n be g(-6). Let h = x + n. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*i + 750, 5*i - 13*r - 1255 = -17*r. Calculate the remainder when i is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 3*t - 29, -8*y + 8 = -4*y - 4*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 16*i + 25. Let o be j(10). Let v = 42 + o. Suppose -2*q + v*q - 185 = 0. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 - 10*b + 22*b + 61 to r*b + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 19551*x - 3735*x - 2148*x + 21753*x in the form v*x + h and give v.\nAnswer: 35421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, y: 5, s: 7, z: 1, h: 3}. What is prob of sequence hihh?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 82\/(-12))\/(21956\/(-23952)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 780*q**3 + 3*q**2 + 505*q + 3. Let v(d) = 1559*d**3 + 5*d**2 + 1006*d + 5. Let b(x) = 5*h(x) - 3*v(x). What is the second derivative of b(p) wrt p?\nAnswer: -4662*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 57. Let n = -133 - -136. Which is the fourth smallest value? (a) -2 (b) n (c) f (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 20*n**2. Let m(u) = -u. Let o(g) = 7*g. Let j(i) = 5*i - 7. Let f be j(-3). Let a = f - -16. Let s(k) = a*m(k) - o(k). Determine s(d(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-70)\/49 - (-6)\/(-14). Suppose 2*y - 2*v + 10 = 30, m*y - 58 = -5*v. Suppose -2*a = -y - 0. Solve 0 + a = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b8567 (base 14) in base 13?\nAnswer: 6cc032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i + 19. Let j be (24\/18)\/(2\/15). Let d be n(j). Let m = d - 27. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1241*h + 27850*h**3 - 3 - 27851*h**3.\nAnswer: -h**3 - 1241*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064726058 to five decimal places.\nAnswer: -0.00647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 10) to base 6.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + f + 4, -3*b = 33*f - 156*f - 492 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4893303 (base 10) in base 15?\nAnswer: 669d03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13352491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210140 + 210140.3. Let i = -8 + 8.09. What is the second smallest value in 0.4, h, i, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 36*l**2 + 1\/80*l**5 + 1\/8*l**4 + 0 + 0*l**3 + 0*l. Factor s(f).\nAnswer: 3*f*(f + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -0.1. Let i = -623 - -616.59. Let n = i - -1.41. Which is the second smallest value? (a) p (b) n (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9da + -58?\nAnswer: -a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 118 (b) -12\/125 (c) -3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2303332313033?\nAnswer: 2303332313031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 305 and -201.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9733 + 19*x - x**3 - 36*x**2 + 9700 - 55*x. Let c be f(-35). Solve c*t = -4*j + 18, -t + 3*t = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**9\/16632 - m**8\/9240 - m**7\/4620 + m**6\/1980 + 7*m**3\/6 - 8*m. Let t(i) be the second derivative of a(i). Factor t(h).\nAnswer: 2*h**2*(h - 1)**2*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2612*n - 195877. Determine q(75).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9374663 is divided by 368.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -256550.30196 and 1.\nAnswer: -256549.30196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005859 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 84. Let m be (-44)\/(-3)*(27\/l - -6). Factor -6*r**3 + 126*r**5 + r**3 - m*r**5.\nAnswer: 5*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-720)\/100*3*20\/(-96).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 195*x + 5580. What are the prime factors of f(-63)?\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 768, 1578, 2388, 3198, 4008, 4818?\n\"Answer: 810*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-2) + 10\/4 + -2. Suppose -7 + i = c. Calculate the greatest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuzu when four letters picked without replacement from zzjjullluzull.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - 112?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/1063 - 88355\/22323. Calculate the common denominator of -52\/9 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/3, -116, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/309555 and -46\/98599.\nAnswer: 13310865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7909*m + 0 - 10 + 6.\nAnswer: 7909*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*b - 20, -3*b - 30 = -4*b - 5*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35233516*j + 1 + 1 - 2.\nAnswer: -35233516*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(13) - (1 + sqrt(208)))**2*-2 + 5*(-5 + (sqrt(1872) - -2*sqrt(1872))) + -3.\nAnswer: -270 + 156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*8\/1*(-249)\/(-39591).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2751745 (base 8) to base 16.\nAnswer: -bd3e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*u + 79*u - 2*u**2 + 79*u - 240*u.\nAnswer: -2*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. Let r be (43\/602)\/(2*3\/36). Let l(f) = f**2 - f. Let x be l(1). What is the third biggest value in a, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h*h)**27\/(((h**(2\/3)\/h)\/h)\/h)**11*((h\/(h*h**(-6)))\/h**(-4\/3))\/(h**(1\/3))**(2\/77) assuming h is positive.\nAnswer: h**(13858\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105212558 and 748?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 13. Let q be i(6). Suppose -q*y + 2*y + 4*o - 61 = 0, 2*o - 37 = 3*y. Let f = 11 + y. Which is smaller: -1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = q. Let t = 9 - q. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) + (-6)\/8. Let q be 30\/(-40)*(-18 - -6)\/(1*-1). Which is the nearest to 0? (a) t (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67437 is divided by 6742?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9042b (base 15) to base 6\nAnswer: 13441422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djevdqevfvd. What is prob of sequence qedj?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38559 + -206.08.\nAnswer: 38352.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 889093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1696*c**5 - 145*c**4 - c**3 + 550191*c**2 + c + 4 wrt c.\nAnswer: 101760*c**2 - 3480*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/41774925 and 34\/19494965.\nAnswer: 292424475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 7, a: 9}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 9) in base 6?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2873127, -4, 2 in decreasing order.\nAnswer: 2873127, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -33, -4, -396?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2*t**3 - 2*c**2 - 698089*c*t**3 + 7224*c*t**2 + 2*t - 2 wrt t.\nAnswer: 12*c**2 - 4188534*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 98 - (-47 - (-25 + 15) - (6 - 35)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 2*v**3 + 729 - 732.\nAnswer: 3*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2) - (6 + -18). Suppose d = 5*a - 23, d + 41 - m = 4*a. Let u = -16 - d. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((a*a\/((a*a**(-19)*a)\/a)*a)\/a)\/a)))\/(a*a*a*a**(-5\/6)\/a) assuming a is positive.\nAnswer: a**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**4 + 1 + f**3 + 5199*f**2 + 1 - 5188*f**2 - f + f**4 - 2*f**4 in the form b*f**2 + l*f + c*f**3 + y + x*f**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 4. Let u = -179 + 180. Let k(v) = 1. Let b(p) = u*y(p) + 4*k(p). Let d(a) = 74*a. Calculate d(b(t)).\nAnswer: -74*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 160090006733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:05 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (495\/(-220))\/((-90)\/4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 3460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/13)\/r)**5 assuming r is positive.\nAnswer: r**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 12*d**2 - 4. Let h be a(-12). Let u = -84 - -89. Put h, 3, u in decreasing order.\nAnswer: u, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = w + 3*s + 51, 8 = -2*s. What is the common denominator of (-30)\/(-10) - w\/8*2 and 3\/2*(-70)\/(-45)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/58 + -1144\/29. Suppose -g - 2*a + 8 + 3 = 0, 2*g - a = -3. Calculate the common denominator of 570\/4*g\/(-21) and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446472.7 hours in milliseconds?\nAnswer: 1607301720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 5*w - 7. Let f be h(-3). Which is bigger: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*u + k + 9, 3*u = -3*k - 3. Let n(w) = w**2 - w + 2. Let d be n(u). Solve -d = z + 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to -7926687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - (4 + 0)) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = -40. Let h = -82 + 222. Suppose 30*s - 16*s = h. Is x equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (68263\/(-1003) - -115)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/807310 and -13\/2755.\nAnswer: 23411990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1964*c - 9037 - 12046 = -3407 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e8 + d693?\nAnswer: da8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from rrfruut.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let f(s) = 443*s - 5 - 573*s + 5. Give f(i(w)).\nAnswer: 260*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54204 and 28164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from {d: 2, f: 3, z: 3, a: 6, b: 2, v: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00518634188 rounded to 6 decimal places?\nAnswer: -0.005186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r + 16. Is (-24)\/6*373\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e402 (base 15) to base 8\nAnswer: -136030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let b = 17 + -16. Let k(o) be the second derivative of o**3\/3 + 3*o**2 - 2*o + 336. Give b*k(d) + 4*g(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 7:37 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31980 and 182.\nAnswer: 223860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -545*k + 370*k - 71*k - 1135*k - 4*k**3 - 2*k**3 to s*k + v*k**3 + n + o*k**2 and give s.\nAnswer: -1381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from tthhthtttththhthhth?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-2)*138\/18. Let j = -12 - v. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 69052828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 1. Let w(i) = 2*i**2 - 6*i - 7. Let p = -53 - -57. Suppose x + 2*m - 3 = 2*x, -4*m = -p*x. Suppose 0 = x*u + 3 + 12. Give u*k(g) + w(g).\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3470 - 3458. What is the remainder when 47 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -2)*-4 + 3 + 1*sqrt(176) - ((sqrt(176) - sqrt(176)*-1)*3 + 2 + 4))**2.\nAnswer: -360*sqrt(11) + 14281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 146 = -5*g. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -694 + 2777\/4. Let g(u) be the second derivative of 27\/2*u**2 - 3*u**3 + 0 + 7*u + b*u**4. Let g(h) = 0. What is h?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 8) in base 15?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 62*k**2 - 16*k - 1002. Give v(-62).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 11*n + 6145 = -4088. Calculate the remainder when n is divided by 375.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 347317.98000024 + -347318. Let g = -4 + 3.98. Let s = p - g. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1486 - 1481. Let c(q) be the third derivative of -1\/6*q**3 + 0*q + 0*q**4 + 0 - 2*q**2 + 1\/6*q**t. Differentiate c(b) with respect to b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004213 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6354.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*1\/(-8))\/((-3)\/12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/10)*b)\/(b*(((b*b**(-2\/5)*b*b)\/b)\/b)\/b)*b**(-3\/2)\/b**(-2\/21) assuming b is positive.\nAnswer: b**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 5645*z**2 + 1 + 5643*z**2 + 39*z + 30*z to t*z**3 + m*z**2 + f + p*z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1 (c) -1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -551 - -563. Let x = -37 + 61. Let j be (x\/20)\/(3\/10). What is the highest common factor of j and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*u**3 + 26*u**2*w - 1143*w wrt u.\nAnswer: 24*u**2 + 52*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*w = -0*m + 33, w = -3*m + 35. Solve i = -2*i + m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(20)\/(sqrt(324)*2) - sqrt(30)\/(sqrt(72)\/sqrt(972) + sqrt(6))))**2*1.\nAnswer: 76*sqrt(5)\/15 + 5089\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12649 - -202319\/16. Calculate the common denominator of l and 4\/(-114)*(-243)\/(-12).\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 - 4*h - 2. Let r(q) = 4*q**2 + 2*q + 1. Let k be ((-64)\/(-192))\/(2\/(-36)). Let t(c) = k*r(c) - 5*i(c). What is t(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-4) - 110\/(-44))*(-966)\/(-92)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 247.63 + 1.37. Let j = q - 246.94. Let t = j + -0.06. Sort 1, -2, t.\nAnswer: -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**6\/5 + 73*d**5\/10 - 593*d**4\/6 + 827*d**3\/3 - 310*d**2 - 13218*d. Find f, given that n(f) = 0.\nAnswer: -31, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 5. Let k = 266 - 258. Give m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j**(-1\/48) assuming j is positive.\nAnswer: j**(287\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.94.\nAnswer: -3.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 161*z**2 + 14*z. Let f(y) = -43*y + 17*y - 32*y**2 + 5*y + 18*y. Give -14*f(r) - 3*s(r).\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2663 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2335 = -415*j + 2264 + 2041 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -122, 3, 24 in increasing order.\nAnswer: -122, -58, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2002002?\nAnswer: 2002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 3\/(-6)*-8. Let x be (4 - -10)*w\/(-2). Suppose x = 6*c - c. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gccggcgggggggcgc. What is prob of sequence cggg?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 803\/(-165)*-6 - 2\/20*2. Suppose 0 = -0*g - 3*g - 18. Let v be (24 + g)*(-1)\/(-2). Solve 0 = 4*y - 5*z - 0 + q, -4*y + z - v = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2029, 8041, 18061, 32089, 50125, 72169, 98221?\n\"Answer: 2004*j**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3488 divide 1733473078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*n**2)*(-2 - 2 + 5 + (-1 + 2 - 8)*(3 + 1 - 2) - 1 + 3 + 0 - 2 + 2 - 1 + (0 - 5 + 3)*(-4 + 2 + 0) - 3 + 7 - 3 + 1 - 2 - 1 + 1 + 0 + 1).\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/23*1\/(-6)*(-28)\/(-21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/9 - 34*w**4\/9 + 50*w**3\/3 - 22*w**2 = 0. Calculate w.\nAnswer: 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5038 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -1\/4, -2\/5, -80, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) 1 (c) 5 (d) 248.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/25 - 1\/(-5). Suppose -1062 = -443*h - 4163. Which is the biggest value? (a) l (b) h (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1018603 + -5?\nAnswer: 10185cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x + 5. Suppose 12 = -2*i - 0*g + 2*g, 4*i = -g - 24. Let u(n) = 11*n + 6. Let d(h) = i*q(h) + 5*u(h). Let a(f) = f. Calculate 20*a(k) + 5*d(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f - 11 - 2 + 10*f + 1 + f. Calculate c(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*q - 57 = 0, -8*q + 25 = c - 11*q. Let p = 70 + -34. Calculate the remainder when p is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(3*m - 2*m - 2*m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -920500 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5.045 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00098960787 rounded to 5 decimal places?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 3 - 3 + (3*a + 3*a - 5*a)*(-64 - 1572 + 359).\nAnswer: -1275*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 k when four letters picked without replacement from {c: 5, k: 4, d: 6, b: 4}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*b + 158*b - 175435 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 - 0.5. Let t = 221 - 662\/3. What is the nearest to 2 in t, h, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/8888 and -21\/8888.\nAnswer: 8888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1794)\/69*(-37)\/(-37)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 2.9, -12, -18.8 in decreasing order.\nAnswer: 2.9, 2\/3, -12, -18.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140147653.19000089 - 140147753.39. Let t = q - -100.2. What is t rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 - 616*b + 4889. Let i be s(8). Suppose m - 10 - 136 = 0. Let g = -103 + m. What is the greatest common factor of i and g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15749\/1590 - 149\/15. What is the common denominator of y and 39\/11?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 3. Let m(i) = 28*i + 28. What is the least common multiple of d(4) and m(1)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from udihvcv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001989412 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 0*c**2 + c**2 - 2*c + 2*c - 6*c + 117. What is the least common multiple of 72 and r(7)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 3, -7\/4, 0.1, -1.1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.966188 rounded to 3 decimal places?\nAnswer: 1.966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -668424165 times -0.2\nAnswer: 133684833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428667 is divided by 214325.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) - 3\/6. Let j = -13 - -47. Let v be 10\/j*(-28)\/(-700). Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79065.21 nanometers in millimeters?\nAnswer: 0.07906521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.8 in -0.1, 4\/3, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 10 = -v. Let m be v - 2\/((-6)\/(-15)). Let c(p) be the third derivative of p**6\/120 - p**5\/30 - p**4\/12 + p**3\/2 + p**2. What is c(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:06 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 3. Let f(u) = -6*u - 15. Let z(d) = -2*f(d) + 11*o(d). Let w be z(7). Is w greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + -0.4. Let v = 0.22 - 0.2. Let b = -0.42 + v. What is the second biggest value in 1\/11, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c3 + 173d?\nAnswer: 167a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 129761c (base 14) to base 7\nAnswer: 136153335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10 (b) -2\/7 (c) 2\/23 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490, -2183, -5036, -9049, -14222, -20555?\nAnswer: -28048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2\/3 - 19300*x\/3 - 18624500\/3.\nAnswer: -5*(x + 1930)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*x - 2*v + 4, -16 = -5*x + 3*v. Suppose -3*y - x*j = y + 40, -3*j = -4*y - 20. Put 2, y, -4 in ascending order.\nAnswer: y, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*o - 42*o - 51136. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 10*s = 10. Let x = -4458 + 44543\/10. Calculate the common denominator of s + (-5 - 295\/300) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/72 and -5\/5577.\nAnswer: 133848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2528 = 75*t + 1703. Let j = 2092\/11 - 190. What is the third smallest value in -5, t, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -822, -3283, -7380, -13113, -20482, -29487?\n\"Answer: -818*a**2 - 7*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + w**2 + 2*w + 0*w**2 + (0 - w + 0)*(w + w - 4*w) + 3*w**2 - 3*w**2 + 2*w**2 in the form h + x*w + j*w**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*63\/(-42) - 0. Which is greater: n or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30073, 0.01, -1, 1?\nAnswer: -30073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Let f = 0 - -1. Is f equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4943166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 50\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 6 + 2)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 - 3*y + 5. Let g be w(4). Let s = -9 - g. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p - 2*p + 1 - 1 + (-4 + 2 + 3)*(-3*p + 2*p + 0*p) - 4*p - p + 4*p - 6*p + 2*p + 2*p + (-p + 2*p + 0*p)*(-1 + 1 + 3))*(-50 - 10*p**3 + 50).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4983989740 to the nearest integer?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 2843. Let x(o) = 1188 + 2*o - 2390 + 1202. What is l(x(r))?\nAnswer: -4*r + 2843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21202\/2415 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.9 + 0.9. Let v = 53 - 56.9. Let j = v - -4.3. What is the second smallest value in 0.1, n, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*4\/10 - -3. Suppose -3*o = -u - 4, -3*f - 2*o = -99. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3276376 rounded to 2 dps?\nAnswer: 10.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -6*p - 2\/3*p**3 + 0 + 5\/2*p**2. Let z(m) = 5*m - 5. Let o(x) = 6*g(x) + 5*z(x). Differentiate o(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {t: 5, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10753370?\nAnswer: 2, 5, 1075337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7160 = 4*j + 4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 9*m - 18. Which is greater: m or -13\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 * 0.0400879\nAnswer: 3.4876473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376088760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107.7379 micrograms to kilograms.\nAnswer: 0.0000001077379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -10. Let s(n) = -n - 5. Let b be s(-4). Let w = -3 - b. Are w and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 3, p: 4, a: 1, z: 5, b: 1}. What is prob of sequence zwpz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 22032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 22580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 200*z**5 - z**3 + 20*z**2 - 710. What is the third derivative of a(s) wrt s?\nAnswer: 24000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.5, 3, 20\/559 in increasing order.\nAnswer: -7, -0.5, 20\/559, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.113 times 3.76?\nAnswer: 4.18488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1301?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 + 248 + (0 + 5 - 1) - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) 138\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1518 and 34\/11?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 600931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 714*k**2 + k + 2 - 323*k**2 - 359*k**2. Let s be i(-1). Solve j + 35 = s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209377772, -418755542, -628133312, -837511082, -1046888852?\nAnswer: -1256266622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*a - 195, 2*b + 3*a = b + 22. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/3 + 8087*i**4\/3 + 7628071*i**3\/3 - 13052203329*i**2 - 13054743324*i = 0?\nAnswer: -4869, -1, 0, 1652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -o - o. Let r = 11 + o. Calculate the remainder when 17 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 1)*(-2*r + 2*r - 2*r) + 5*r - 4*r - 3*r - 6*r + 0*r - 10 + 9 in the form m*r + p and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-2)*4\/(-3). Let v(o) = 2*o - 8. Let r = -96 - -102. Let a be v(r). Calculate the greatest common divisor of a and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 70*m - 48*m - 110*m)*((1 - 1 - 1)*(1 + 0 - 2) + 8 - 9 + 11).\nAnswer: -2475*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**3 + 7*d**2\/2 + 3*d. Let t(z) = 2*z - 2. Let b(o) = 2*l(o) + 7*t(o). Let p(u) = 5*u. Give b(p(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y - 20. Let c be p(15). Suppose 0*a = -5*a - c. Let v = a - -25. Is -1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Let v be (1 - (6\/(-2) + 4)) + 2. Solve w = 3*p + 5, p = k*p - 4*w + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 1:22 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrirmmrrv. Give prob of sequence vmm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -2\/55*c**5 + 1\/22*c**4 + 0*c**2 + 0*c - 1\/33*c**6 + 2\/33*c**3 - 18. Factor v(s).\nAnswer: -2*s**2*(s - 1)*(s + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 999*x**3 - 39 - 3009*x**3 - 23 + 1013*x**3 + 996*x**3.\nAnswer: -x**3 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 87 and 87 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 6 - -8 - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 449934608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 326398 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*v + 75 + 15 = 5*u - 159*v, -5*u + 170 = -21*v for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000820591374 rounded to seven decimal places?\nAnswer: 0.0000821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279282255?\nAnswer: 3, 5, 7, 31, 239, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 i, and 1 a when four letters picked without replacement from {i: 4, r: 6, k: 1, l: 1, d: 2, a: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*n*w + 42432891*n - 256985*w wrt w?\nAnswer: -23*n - 256985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3, 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 13*g + 32. Suppose -g*s - 95 - 69 = -4*y, 0 = -2*y - 3*s + 77. What is the remainder when y is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**2\/2 - p - 20. Let f(g) = 10*g + 4. Determine -f(h) - 4*i(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 5. Let x be z(-3). Let r be x\/8 + 98\/8. Suppose -4*y + y + r = 0. Solve y = -2*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2307 and 12?\nAnswer: 9228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*f + 22, 3*f + 25 = 4*x - 0. Let l(u) = x*u + u**3 - 2*u**3 + 6*u**2 - 5 - 9*u. Let w(b) = b**3 - 6*b**2 + b - 1. Let k be w(6). Give l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -60?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1715328279 to the nearest one million.\nAnswer: -1715000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80534409 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*y - 12 = -128*y. Solve 0 = b + y*a + 1, -3*b + 0 - 3 = 2*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33.04 + 34. Let f = 0 + c. Round f to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 99, 152, 207, 264, 323?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*w + 4181 = -156*w - 10346 + 2669 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*a - 7*a = -16, -c - 3*a = -8. Let z = 409 - 408. Let h(i) = i. Let d(s) = 3*s**2. Calculate c*d(l) + z*h(l).\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 6. What is l(4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*k + 26 = 0, 12 = 5*a - k + 35. Let d be (-2 - -3) + a\/4. Let n = 0.8 - -3.2. Is d less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(-2 + 0 + 3)*(-731*c**3 + 73*c**4 + 731*c**3) to the form b + s*c**4 + x*c + y*c**2 + w*c**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -5. Let h = -45.81 + z. Let w = -0.11 - h. Which is the biggest value? (a) w (b) 0.2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3407 + -3407. Sort -5, z, 746.\nAnswer: -5, z, 746","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115691*y**3 - 132042*y**3 - 161492*y**3.\nAnswer: -177843*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 2:06 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -210*i + 10025. Calculate z(48).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 21. Let s = -1 + 4. Which is the closest to 1? (a) j (b) s (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/728697 and 28\/2671889.\nAnswer: 8015667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 11 - 11)*(5 + 1 - 2) - p - p + 4*p as u*p + y and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.51094ml to litres.\nAnswer: 0.05751094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.849136 days?\nAnswer: 73365350400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 90246*l. Let q(r) = 3*r**2. Give q(i(f)).\nAnswer: 24433021548*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2)*(0*u - u + 0*u) + 1 - u - 1 - u - u + 0*u - 3*u + 3*u + u + (-5*u + u + 2*u)*(-4 + 1 + 1) + u + 5*u - 3*u to the form r + o*u and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 2. Let w(l) = -l**3 + 2*l**2 + 3*l + 4. Let k be w(3). Let z = k + 1. Let y(u) = -3*u - 2. Let t be (-4)\/5*(3 + 2). Determine t*v(a) + z*y(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 429 = -428. Suppose -2*g = 0, -v + g + 2 = -t. Factor -1\/3*j**v - 1\/3*j**2 + 1\/3*j + 1\/3*j**4 + 0.\nAnswer: j*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 252 - 945. Suppose -3*w + x = -12*w. Calculate the least common multiple of ((-6)\/(-7))\/((-11)\/w) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0 - 12 + 288*z**2 + 9 - z**3 + 0 in the form p*z + u*z**2 + c + g*z**3 and give u.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i**2. Let m(d) = -7*d**3 + 6*d**2 + 11*d. What is -m(g) - 6*r(g)?\nAnswer: g**3 - 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419.8 + -1.2. Let z = k + 420.5. Put z, 0.5, -4\/7 in descending order.\nAnswer: 0.5, z, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/43210 and -74\/12963?\nAnswer: 129630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 44 + 32. What is the smallest common multiple of b and 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 14*r + 18. Let q be n(15). Suppose -q*a = -a. Solve 2*d - 6 = -a*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = 4. Suppose -6*f - 7 + 55 = v. Suppose 6 = -5*a + f*a. Solve o + o = -a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4474 (base 8) to base 12\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58 - 12*b - 58 + (2 - 2 + 1)*(3*b - 3*b - b) + 3*b + 0*b - b - 21*b + 22*b - 52 - 115.\nAnswer: -10*b - 167","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71638 by 126.\nAnswer: 5117\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -12 + -6 - 20?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 1518, 2890, 4276, 5682, 7114, 8578, 10080?\nAnswer: 11626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -5, -0.01, 4, -40?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.1473 - -0.1473. Which is the third smallest value? (a) 17 (b) v (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmxmxmmmmm. Give prob of picking 2 m.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**3*q)\/q*q*q)\/(q\/q**(-5))*q**2*q**(3\/14))**9 assuming q is positive.\nAnswer: q**(405\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - 3. Solve 2*q - 9 = -3*w + 8, 4*w = s*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474547?\nAnswer: 474547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 187736.18 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(832) - 1*sqrt(468))**2 + 2*(sqrt(208) + 0) + 1.\nAnswer: -4*sqrt(13) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 3*o + 1. Let i be l(2). Let z(w) = -w**2 + 5*w + 2. Let r be z(4). Suppose r*n = -i + 33. Calculate the greatest common divisor of n and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5108 - -3503. Let k = d + 2313. What are the prime factors of k?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 4, b: 3, j: 5}. Give prob of sequence bwwb.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 5*s + 4*c, -3*s - 2*s - 3*c - 69 = 0. Let w = -8 - s. Solve 1 = -2*o - w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 564 and 54471684.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1316509263, 1316509264, 1316509265?\nAnswer: 1316509266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112222 (base 3) in base 14?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100130*0.3\nAnswer: 30039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10678955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 5. Let b(c) = 4*c + 10. Let m(g) = -2*b(g) - 5*k(g). Let p be 15\/40 - -2*177\/(-48). What is m(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 282?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)*0\/4. Let i be m*(-3)\/(-3 + -3). Let f be (i - 3) + (-4)\/(-2). Which is bigger: -2\/7 or f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -23633875\nAnswer: 1\/4726775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Let u(c) = -4*c - 9. Let j(f) = 5*s(f) - u(f). Suppose 0 = 3*d + 11 - 35. Let x be j(d). Which is smaller: x or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 + 114.2. Let s = -1 + -1. Which is the second biggest value? (a) s (b) w (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 1. Suppose 3*a = 5*a - s. Suppose -12 = -a*t - t. Solve 0 = -4*k - 0*v + 4*v - 40, 0 = -3*k - t*v + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 107, -2, 5 in ascending order.\nAnswer: -2, 1, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6)*(-150)\/(-1875)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4\/13*l + 0*l**2 + 2\/13*l**4 - 4\/13*l**3 - 2\/13 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/126 - (-108)\/14. Let l(f) = 6*f**3 + f - 1. Let k be l(1). Suppose h*q - k*q = 2. Which is smaller: -1\/50 or q?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142165093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*w**4 + w**2 - 37 wrt w?\nAnswer: 2736*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 64723?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen quarters of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2407*q + 2*q**2 - 2407*q - 9*q**2 - 2*q**4 - 5*q**3 + q**3 as x + b*q**2 + j*q + l*q**3 + y*q**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 - 70*r + 53*r - 2*r**2.\nAnswer: -2*r**2 - 17*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4188*y**2 + 8379*y**2 - 4189*y**2. Let k(p) = -p - 553. Give k(z(w)).\nAnswer: -2*w**2 - 553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 62. What is the third smallest value in u, -1\/5, -0.29, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 4*c + 82. Suppose -17*k = -490 - 309. Let x = c + k. Solve 4*y + 8 = -2*o, 2*o + 2*o + 2*y = -x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {x: 1, w: 1, v: 6, f: 4, e: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (-3 + 2 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19099993 is divided by 863.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/8 + 90\/8. Let o = z - 8. Suppose 2*r - 10 = o*m, 4*r + 4*m - 7 = 1. Which is the biggest value? (a) -5\/2 (b) r (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, e: 7}. Give prob of picking 3 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 7 - -5) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 7*l + 9. Let m be j(-8). Is 3 + -5 - (-16 - m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7643647 is divided by 7643633?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 n, and 1 l when four letters picked without replacement from krxxznxlnxnxxxxlxx?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = -44. What is the remainder when 31 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/181760 and -107\/1280.\nAnswer: 181760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 2423?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - 2*w**4 + w**4)*(-10*w - 2230 + 2230).\nAnswer: 20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 8*i**2 - 3*i - 3. Give s(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 52?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 874311, 1748637, 2622977, 3497331, 4371699, 5246081?\nAnswer: 6120477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, a: 4, k: 1, s: 2, i: 1, l: 1}. What is prob of sequence iaa?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 636 and 16554.\nAnswer: 1754724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 47*r + 120. Let s be w(-3). Which is the fifth biggest value? (a) 2\/5 (b) 0.07 (c) s (d) -0.5 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523636 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 38. Let f(x) = x**3 - 10*x**2 + 18*x - 12. Let j be f(d). Solve 4*q - q = -s + 12, 2*q + 2*s = j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 192 = -3*x - 5*c, 4*x + c - 334 = 0. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2033 + -323001001?\nAnswer: -323003100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b4 (base 13) to base 8.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 18 - 6 = 0. Let b be 1*-2 - (l - 1). Let m(d) = -d**2 - 46*d + 97. Let p be m(-48). Solve -p + b = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + t + 2*p - 7318730, -3*t = 4*p + 7318760. Round t to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 2*c)*(1 + 2 - 4) - 61*c - 67*c - 95*c.\nAnswer: -224*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 20 = -2*u - c, -2*u = c + 11. Let m(t) = -t. Let v = -21 - -32. What is the least common multiple of m(u) and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.14 plus -1.28?\nAnswer: 82.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f - 24. Let q(v) = -11*v**3 - 2*v**2 + 1. Calculate the remainder when y(-6) is divided by q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 189, -41 in increasing order.\nAnswer: -97, -41, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 171. Let p = x + -46. Suppose 0 = p*l - 12*l. Solve l = -4*o, 2*g + o = -2*o + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (3 + 1 - (-1 + 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973074?\nAnswer: 2, 3, 127, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0.08, 3\/76 in ascending order.\nAnswer: 3\/76, 0.08, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 1192727292.6?\nAnswer: -1192727292.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/9 + 926*y**2\/9 + 12376*y\/9 = 0. What is y?\nAnswer: -13, 0, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 8*r**2 - 6*r - 7. Suppose 3*m - 4*s = -2 + 26, m - 7 = s. Let k be y(m). Suppose -c + 13 + k = 4*n, n = c - 66. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 469 and 13268144.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 28 = -9*v. Suppose -8 + v = d. List the prime factors of (12 - -6) + (-1 - d).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + s + 0)*(-3 + 6 - 2) + 0 - 2*s + 0)*(75*s + 98 - 98).\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 55*t**2 - 8*t - 64. What is the units digit of o(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9736 and 20?\nAnswer: 48680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90703.6 times -757?\nAnswer: -68662625.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 34. Let l be 1 + -2 + (t - 0). Let v be (-106)\/(-10) + 3\/(-5). What is the highest common divisor of l and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**3 + d**2 + 12*d + 5. Let o(h) = -h**3 - h**2 - h. Let q(r) = l(r) + 6*o(r). Suppose 0 = -22*i + 20*i + 266. Let v = i - 139. What is q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 166\/(-12) - 1\/6. Let b = 23 + u. Let s = 4 - b. Let y(d) = -d - 5. Calculate y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56800000 rounded to the nearest 1000000?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7*i = 24. Suppose l + 3*l + 16 = 4*h, -i*l = -4*h + 13. Is 3\/7 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-1))\/(-6)*14. Suppose -2*w = -b*w + 75. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 2*n**3 + 0*n + 14*n**2 + 1\/30*n**6 + 9\/40*n**5 + 0 + 1\/4*n**4. Let s(a) be the first derivative of q(a). Factor s(o).\nAnswer: 3*(o + 2)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q**(-30)))\/q)\/(q\/q**(-23)*q) assuming q is positive.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 36. What is the greatest common divisor of 54 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 1. Suppose -j + 2*j = 7. What are the prime factors of q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -16*f - 56 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/6776 and -59\/19250?\nAnswer: 847000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 6197*s**2 - s - 8*s - 4*s - 87.\nAnswer: -6197*s**2 - 18*s - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.067+-1574725540\nAnswer: -1574725540.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249743331?\nAnswer: 3, 29, 106319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -489914, -488363, -486812, -485261, -483710?\n\"Answer: 1551*g - 491465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 108776, 108774, 108772, 108770, 108768?\n\"Answer: -2*u + 108778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(-9))\/(i\/(i\/(i\/i**(8\/5)))))**(-7\/4) assuming i is positive.\nAnswer: i**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6569, 6575, 6591, 6623, 6677, 6759?\nAnswer: 6875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s**2 - 13\/4*s**4 - 1\/3*s**3 + 0*s - 9. What is the third derivative of c(r) wrt r?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1717036 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 2\/15, -36\/17, -2\/3, -19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6*w + 3*p - 28, 0 = -w - p + 8. Suppose -24 = -2*k - w*l, 3*k - l + 8 - 51 = 0. Calculate the greatest common divisor of 105 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 15*q + 44. Calculate p(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3 - 1 - 1 + 21*o**2. Suppose -3*p - 17 = -5*r, 2*r - 4 = 3*p + 1. Is 11 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601021865 a multiple of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - -189. Suppose d + j = 6*d. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-90)*(9 + -8). Let h(j) be the second derivative of 1\/18*j**4 - v*j**6 + 2*j + 0*j**2 - 1\/9*j**3 + 1\/30*j**5 + 0. Let h(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k + 2*k. Suppose -34 = -k*z + 5*p, -z = -2*z - 3*p. Let r = -297 + 314. Calculate the remainder when r is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = 0. Suppose -3*v + 28 = 2*b, v - 5*b = -p*v + 32. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130022232032 (base 4) to base 2.\nAnswer: -11100001010101110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 36*k**2 - 83*k + 65. Let j be x(20). Let z(c) = -c**3 + 2*c**2 + 7*c - 5. Let q(m) = m**3 - 2*m**2 - 8*m + 6. Calculate j*q(f) + 6*z(f).\nAnswer: -f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 19. Let t(p) = -p**2 + 5*p + 3. Let c be t(0). Find the second derivative of 10*l**c - l + l**3 - b*l**3 wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/1150)\/((-12)\/(-46))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/19788 and 107\/17460.\nAnswer: 296820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-7 - (-215)\/30). Which is the second smallest value? (a) -5 (b) -1.2 (c) 0.1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -25 - 1\/10*i**6 + 0*i**2 - 1\/2*i**3 - 9\/20*i**5 - 8*i - 3\/4*i**4. Let z(t) be the first derivative of m(t). Factor z(j).\nAnswer: -3*j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1*n)*n)**(1\/4)\/((n**(-2)*n)\/n**3) assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -46b752 (base 15) to base 6\nAnswer: -200240135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 14 = -40. Let m = -49 + 48. Put 0, -5, y, m in decreasing order.\nAnswer: 0, m, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 2. Let u be d(1). Let r = 17.38 - 0.38. Let i = -12 + r. What is the third biggest value in -0.3, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 4*t**2 - t - 1. Let u be w(4). Let f be 5\/2*(-4)\/u. Is 10 a factor of 19\/f + (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61908 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187510912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -232, -4, -3, -0.3 in descending order.\nAnswer: -0.3, -3, -4, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3541897166 to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:01 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 45771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 52 = 4*t, 5*y + 2*t = -34 - 16. Sort -1, 5, -3, y in ascending order.\nAnswer: y, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/5 - 14*f**4\/5 + 284*f**3\/5 + 2708*f**2\/5 + 4518*f\/5 + 2106\/5 = 0. Calculate f.\nAnswer: -9, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 + 0*f**2 - 2*f**2 + (4*f + f - 6*f)*(2*f - 2*f - 7*f) + 5*f**2 - f**2 - 2*f**2 + (4*f - 2*f + 0*f)*(2 + f - 2).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 4354*v**3 + 14 + 4350*v**3.\nAnswer: -4*v**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -26)\/((-7)\/(-15) - 4\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4 + (-23)\/(-4))*-4)\/(-1). Suppose -3*i = -l*i + 328. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from ggsgsgsgsssggs.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2000 - 2005. Suppose 0 = -2*q - 0*q - 8. Sort 3, -3, q, l.\nAnswer: l, q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3 - t - 1 + 0*t. Suppose -d - 5 = 3*z + 2, z - 1 = 3*d. Determine i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 713*i - 57522. Give z(-73).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -30 - (-1)\/1. Let r(d) = -3*d - 33. Let s be r(-25). Let k = s - f. What is the remainder when 51 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, 1, 1\/6, -9, -0.5 in descending order.\nAnswer: 1, 1\/6, -0.5, -3.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-14 - -14 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405799743 and 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-405)\/(-3510)*715\/99.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44019277\/51426054 - -41\/73782. Let c = -11\/41 + j. Determine w, given that 24\/17*w**3 + c*w**2 + 2\/17*w**4 - 8\/17*w**5 - 4\/17*w + 0 = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 3*a**3 + a**3)*(3 + 1 - 2) + 2*a**3 - 2*a**3 + 2*a**3 + 2*a**3 + 0*a**3 + a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let b(u) = u**2 - 7*u + 10. Calculate the remainder when b(6) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/93 and -25\/3.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubuajugagu. What is prob of picking 2 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-170))\/(4\/(-8))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-1431)\/795*(((-60)\/18)\/1)\/22)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14668\/24 + (-5)\/30. Let v = p - 28. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/60 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1.2, -17\/3, 1\/7, 0.8.\nAnswer: -17\/3, -0.5, 1\/7, 0.8, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 7*i - 51 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13082387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 0.936. Let t = -0.17 + q. Round t to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*f**3 + 219 + 2*f**2 - 80*f**3 + 21 - 80*f**3 in the form y + x*f**2 + a*f + u*f**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.9 + -8.7. Let k = j - -50.6. Sort 2\/5, 0.1, 5, k in decreasing order.\nAnswer: 5, 2\/5, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609188, -609186, -609182, -609176, -609168?\nAnswer: -609158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8599232.\nAnswer: 2, 134363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 60?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 i, and 1 b when four letters picked without replacement from ibdibididbdddibdddid?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*g**3 - 14 + 51*g - 51*g wrt g?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 767*f + 4829. Determine h(-6).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -z + 3, 5*f + 0 = 3*z - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 1543 = 5*a, -2*a = -w + 617. Let d = a - -173. Let u = 190 + d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 4*c. Let p be n(4). Suppose 5*x + 27 = v, 0 = -2*v + 26*x - 25*x + 9. Solve -6*z + v*z = p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 78. Suppose 0*r - d = -3*r. Suppose -2*y = -3*y + 154. What is the greatest common factor of r and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3390 + -5074. Let l = c + 3433\/2. What is the common denominator of -59\/5 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 136.73 + -136.83. What is the biggest value in -123, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 26*j - 5. Let f be t(-9). Let -68*a**2 + 13*a - 2*a**3 + 4*a**f + 22*a + 29*a**3 + a**3 + a = 0. What is a?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6*v + 204 = -2*v, 0 = 3*h - 5*v - 152. Let c = h + -28. Suppose 0 = -3*t, -5*q + 46 = t - 44. What is the smallest common multiple of c and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -42.99. Let i = r + 0.01. Which is the smallest value? (a) i (b) 1\/3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70300 to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009300096 rounded to six dps?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 7 - 3 - 4. Let h(v) be the third derivative of -v**5\/60 + 2*v**2. Give a(h(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 325, 654, 985, 1318, 1653, 1990?\n\"Answer: m**2 + 326*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:45 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1741927 divided by 218\nAnswer: 1741927\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:16 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7\/4, 0.08, -5, 2\/5 in decreasing order.\nAnswer: 7\/4, 2\/5, 0.08, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 4. Let c(y) = y**2 + y + 1. Let a be c(0). Let r(q) = -1. Let x(m) = -m - 1. Let p(b) = a*x(b) - 6*r(b). Calculate 6*n(u) + 5*p(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.37 (b) 0.1 (c) -45 (d) 0.29 (e) 2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/21)\/((-13)\/(-91))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*g + 7 = 631*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4830 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (8 - 6)\/((-6)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 7:00 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by 34?\nAnswer: -56\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, d: 3, i: 2, c: 4}. What is prob of picking 2 i and 1 d?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 1. Calculate m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*d**4 + 38*d**3 + 4*d**2 + 4*d + 20293622.\nAnswer: -244*d**3 + 114*d**2 + 8*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71984 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99895671?\nAnswer: 3, 31, 37, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508378 is divided by 14525.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1, 127, 5 in descending order.\nAnswer: 127, 5, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15857*b - 364716. What is r(-23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + 41*i - 75. Let t(b) = 6*b**2 + 41*b - 88. What is -7*c(a) + 6*t(a)?\nAnswer: a**2 - 41*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 11603?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:41 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/((-1023)\/9)*226\/(-180) and -137\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000871 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*g - 10*g - 7*g)*(-2*g**2 + 3*g**2 + 3*g**2)*(18*g + 13*g - 8*g) to q*g**2 + j*g + b*g**4 + m + z*g**3 and give b.\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11110113212 (base 4) to base 11\nAnswer: 87249a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v - v**2 - 8*v + 2 + 0*v**2. Let i be s(-3). Is (-30)\/1*(-2)\/i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + u - 600 = 0, 3*t + 18*u = 24*u + 1800. Is t != 601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 - (109 - 115).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7243 - 7255)*(-1)\/(-160)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide (-76668)\/(-48) + 20\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-18 + -4)) + -7 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1862)*2*5 + sqrt(1862) - 1*sqrt(1862)*-1)\/(-4*1*sqrt(2) - (sqrt(288) + sqrt(288)*-1)))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-2340)*-13*9\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c - 5. Let u(d) = 3*d - 1. Let m be u(3). Suppose 2*r + 0*r = m. What is the second smallest value in 3, r, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149 (base 12) to base 2\nAnswer: -11001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 2 (b) -4 (c) 4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(4)\/sqrt(2)) + sqrt(48))\/((sqrt(36)\/sqrt(3))\/sqrt(3)))\/((5*sqrt(726)*2 - sqrt(726) - sqrt(726))*-3).\nAnswer: -sqrt(2)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q - 23*q - 15*q)*(-3 + 0 + 2)*(-5 + 0 + 2)*(0 - 3 + 4).\nAnswer: -132*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112413 - -1523?\nAnswer: 114340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*g**3 - 35*g**3 - 29*g**3 - 37*g**3 - 3 - 23*g**3 + 5.\nAnswer: 29*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -92.\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1125)\/20 + 3)\/6 - 37\/296\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from utrgrtruutuqrquqqgr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194 + 1194 - 3*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-150)\/(-250))\/((-2)\/(-20)). Solve 0 = 16*q - 10*q + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 11 - 4 + 3*f. Let x be z(-4). Let y be (x + (7 - 5))*3. Solve 5*u + 16 = o, -y*u - 3*o - 12 = -6*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*t**2 - 7*t**3 + 6*t**3 + 236*t - 236*t - 182*t**2.\nAnswer: -t**3 - 35*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -189, -15, -416, 2 in increasing order.\nAnswer: -416, -189, -15, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 15. Let k be b(-10). Suppose -k*w - 62 = -647. Let u be (8\/2)\/(18\/w). Calculate the greatest common factor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 b when three letters picked without replacement from bxffgfbfrxfxrfxffff?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 433 - 665. Which is smaller: -231 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 - -0.13. Which is the second smallest value? (a) -30 (b) 1\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(432\/20)\/(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1935.64 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/(-66)*-3 + (-4)\/22. Let d be 9\/15 - (-122)\/5. Suppose -u + d = 4*u. Solve 0 = b + w*t - u, 5*t - 5 = -3*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1455 = -12*j - 309. Let a = j + 248. Let n = -98 + a. Solve -4*t = -0*t + p + 14, -2*t - n*p = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 - 3*o + 1. Let f be k(-5). Let z = 28 - f. What is the greatest common factor of 60 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6648001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75890 - -149820. Suppose 110*d + w = 120*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -6 (b) -3070 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -u + 5*i, -25 = 3*u + 5*i - 35 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.079 + 5.03726.\nAnswer: 4.95826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjjj when four letters picked without replacement from zjjjjjjjzjj.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37535639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10554958 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)*u**0)\/(((u*(u*u**5*u*u)\/u)\/u)\/u*u*u**(-5\/2)*u) assuming u is positive.\nAnswer: u**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/8)\/3)\/((-15)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**3 + 55*w**3 - 25*w**3 + 139 + w**2 - 16*w**3 to m*w + o + x*w**2 + y*w**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 349822933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -44 - 31 - -40\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -372*f**2 - 773*f - 10. Calculate r(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -10*n - 1. Let i be j(-1). Let g = 277 - 274. What is the derivative of i*m + g - 3*m - 7 wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*r = 1106, -3*d - 5*r + 835 = -0*d. Suppose -d = -4*j - j. Suppose 5*z - 10*z + j = 0. 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 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1382576.589 to the nearest 1000.\nAnswer: 1383000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 > -191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13072954.\nAnswer: 2, 6536477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.233 + 0.233. What is the biggest value in a, 0.4, 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 566849050 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067 take away 0.074?\nAnswer: -2067.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 16*b + 424\/13.\nAnswer: -2*(b - 106)*(b + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (23\/((-138)\/12))\/(104\/(-24))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429657?\nAnswer: 3, 197, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34387491 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 101100370 and 1050?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*z + 2*z - 2*z**2)*(8 - 8 - 3*z**3).\nAnswer: 6*z**5 - 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7226043.\nAnswer: 3, 11, 218971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-6)\/(-20)*5*8\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**5)**(9\/4) assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from {g: 13, q: 6}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 543, 427, 289, 117, -101, -377, -723?\n\"Answer: -2*v**3 + v**2 - 105*v + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 435000 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10755 is divided by 8878?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5432 and 11834?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-184)\/(-12) + (-1)\/3. Let z = w + -5. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 + 111 - 2809 = 41*a - 125*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -80, -188, -340, -536, -776, -1060?\n\"Answer: -22*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4 + 6. Let f = 0.7 + -0.4. Let x = f + 0. What is the third smallest value in u, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -2 + -3 + -4 + -1.\nAnswer: -10 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z + 2. Suppose 4*o - 32 = -32. Let y be k(o). Find the third derivative of -13*f**3 + 30*f**2 + y*f**3 - 22*f**2 wrt f.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose 0 = d + 3*c - 4, -2*d - 3*c + 8 = m. Do d and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 398*i + 259. What are the prime factors of j(2)?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 913 = -t + 926, -10 = -3*z - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 3 + -2 + 11 + -2 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -15. Suppose -5*f = 0, 5*l + 260 + 220 = 5*f. Let i = -88 - l. What is the smallest common multiple of k and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 9*x - 4. Let r = 45 + -34. Let v be w(r). Suppose -17*o + 21*o = v. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57.4502 (b) 2\/7 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 - 9400.4308987?\nAnswer: -9399.3308987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -161, -3, 4\/3, -0.2, 14, -2\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 (base 7) in base 9?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + (-28 + 29 - 54) + -8 + 2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2114, -7105, -14982, -25745, -39394?\n\"Answer: -1443*g**2 - 662*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 0*k**2 + 10*k + 2 - k**2 + 1. Let z be u(7). Let y = z - 2. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 + -1591 + -9 + -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 23 = 19 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21885 + -21853. What is the greatest common divisor of 944 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 - (-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4 + 22*j**3\/3 + 134*j**2 + 561. What is the second derivative of l(z) wrt z?\nAnswer: 24*z + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 - (-2 + -3 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in minutes?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 701836736 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3059, 3648, 4631, 6008?\nAnswer: 7779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 4*c**2 + 4*c + 5. Determine s(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 6*o - 11*o - 4*o + 6*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3512\/7 (b) -1\/5 (c) -0.4 (d) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 - 2 = f, -3*l = 5*f + 12. Suppose 34 = 2*q + 4*p, -l = 2*p - 7. What is the remainder when 284 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.87? (a) -0.3 (b) 2 (c) -1\/5 (d) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 493059, 1972229, 4437511, 7888905, 12326411, 17750029?\n\"Answer: 493056*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - s + 4 = s, -4*m = -5*s - 17. Suppose 3*x + 3*f = 45, -m*f + 5 = -2*x + 30. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, and 1 g when three letters picked without replacement from {a: 4, o: 7, p: 1, g: 4, i: 4}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 - 5*w**4\/6 + 23*w**3\/2 + 55*w**2. Let f be q(19). Calculate the greatest common divisor of 150 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c - 20. Give x(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*u - 162 = -732 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 divided by -5?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315422 and 1104?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let s be (w - 500)\/((-3)\/18000). What is s rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullaquualltuut. Give prob of sequence uq.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 915401585 to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 859. Let w = 41 - l. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1445*a**2 + 8*a - 17. Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 1 = -5*z, -2*k - 2*k - 3*z = -11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/(((-7)\/105)\/((-15)\/(-30)))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, g: 4}. Give prob of sequence ffg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-388)\/8 - 3\/(-2). Let i = x - -122. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n. Let f(s) = -3*s**2 + 2*s + 11. Let c(i) = -f(i) - 4*x(i). Let a be c(-5). Put 12, a, -3 in ascending order.\nAnswer: a, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 24*j**2 - 9*j + 11. Let k(p) = -48*p**2 + 21*p - 22. Let t(y) = 6*k(y) + 13*w(y). Is 21 a factor of t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**3 - 83*d**3 - 48*d**3 - 3*d**3.\nAnswer: -154*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yshuuyw. Give prob of picking 2 u and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -76 in increasing order.\nAnswer: -76, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p - 12 = 0. Let c be -2 + (-3 - -3) - p. What are the prime factors of 4 - (c + -2 + -20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-1 + -5 + 5). Solve m*a - 3 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 13. Let u(p) = -p**3 + 9*p**2 - 6*p - 25. Let f be u(8). What is the remainder when 252 is divided by l(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 10 - (-32 - (6 - 6))) + 11?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from kkikokoxk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 2, h: 2, n: 1, o: 5, d: 2}. What is prob of picking 1 n and 2 o?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -727*w + 718. Determine a(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let o(m) = -2057*m - 19. What is i(o(a))?\nAnswer: -8462498*a**2 - 156332*a - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6213224 divided by -1096\nAnswer: 5669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*t - 5615407 = 67*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 4. Let n = -3 - -3. Suppose c - 3*d = u*c - 160, 3*c - 5*d - 120 = n. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/3219 or 6?\nAnswer: 40\/3219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*-5*(-5375)\/375*(-90)\/(-75)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0916 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 339 + -116. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.6 + -6.6. Which is smaller: k or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2304 + 124 = -5*j. What is the least common multiple of 12 and j?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 848?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 9 - 7)*(0*f + 3*f - 2*f) + 0*f - f - f as v + w*f and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 147677333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n - 41 - 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/(-3*sqrt(10)))\/(sqrt(9) + (sqrt(9) - (sqrt(9) - 5*(sqrt(9) - sqrt(324)))))*1)**2.\nAnswer: 5\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -3 in descending order.\nAnswer: 5, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-19)\/(-247) + 2\/(-26))\/4. Let u(f) = f**3 - f**2 - 3*f - 3. Give u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -7. Let i be ((-8)\/44)\/((-15)\/165). Suppose 2*z - 233 = -3*t, 0 = -i*t + 3*z + 58 + 93. What is the remainder when t is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 4 (b) -2 (c) 22 (d) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 - 5 = 0. Solve 0 = 4*a - 3*a + y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*d**3 - 201*d**3 - 26*d**4 - 10*d**2 + 49*d**3 - 42*d**2 = 0. Calculate d.\nAnswer: -13, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -440.9 + 441. Which is smaller: y or -0.0843?\nAnswer: -0.0843","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from uuiiuii.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1)\/((-18)\/(-5508)*34*-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 - 93. Suppose -p - 3 = -2*p, i*w - 3*p - 8377 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -10838.\nAnswer: -10838.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008222 to 6 dps.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -215\/6 (b) 5 (c) 0.08 (d) -7 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0, -2, 202 in descending order.\nAnswer: 202, 0, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10643*o**3 - 5362*o**3 - 5289*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 31*w**2 - 309*w + 152. Let b be g(-39). Solve f + 5*r - 66 = -44, -b = 5*f - 4*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31 from 3278925.\nAnswer: 3278956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -932, -3626, -8116, -14402, -22484, -32362?\nAnswer: -44036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 7:23 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:57 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -351, -348?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/11752 and 69\/28972.\nAnswer: 85119736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -111. Let y = 19 - 2. Suppose y + 0 = 4*r - 3*w, 0 = 3*r - w - 14. Solve -h + t*h = -r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 + -10) - 30) + 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b + 11. Let a(c) = -19*c + 23. Let u(t) = -6*a(t) + 13*x(t). Let d be u(4). Let j(y) = 2*y**2 + 10*y + 3. Is j(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10639 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-54))\/((-30)\/(-324)*3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 296385707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/90)\/(-43 + (-5504)\/(-129)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8508*r - 7859*r - 3449*r - 5485*r as y + t*r and give t.\nAnswer: -8285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-308)\/(-84))\/(2\/792). Suppose r = 9*x - 5*x. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 685 - 1222. Let g = h + 539. Which is the smallest value? (a) 0.4 (b) 52 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23\/4 (b) -0.13 (c) 3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-441))\/(2\/14*13\/1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jggg when four letters picked without replacement from jggg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -15. Let x = f + -9. Solve x*s + 25 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 103 - 213 = -105 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249014834.9728270749544806 + -0.0278819250455194. Let b = -249015112 - u. Let j = b + 277. Round j to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -14476?\nAnswer: -14476","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -134 divided by -2359\nAnswer: 134\/2359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -2*q + 1\/4*q**4 + 0 + 0*q**3 + 5\/2*q**2. What is the derivative of h(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4028 + 4028.0007177. What is a rounded to five dps?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-713.\nAnswer: -2852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 6\/997 (b) -3 (c) -2 (d) -421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 4*v - v - 3*b, 3*b - 90 = -3*v. Calculate the remainder when 55 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79\/158)\/(2\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1560780*r**2 - 14*r**3 - 1560780*r**2.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t**3 - 186*t + 186*t + (24*t - 5*t**2 - 11*t - 14*t)*(t - 3*t + 0*t) in the form k*t**2 + v*t**3 + b*t + u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b + 4. Let x be ((-2 - -1)*0)\/(-2). Let t be l(x). Suppose -5 + 0*d**2 + t + d**2 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 40*k - 24. Let f be o(4). Suppose 260*w - f = 252*w. What is the remainder when 82 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/((-4)\/18). Suppose 0 = -2*m - 10, 2*x - m + 72 = -w*m. Let b = -14 - x. What is b rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43111285.52 rounded to the nearest 10000?\nAnswer: 43110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -17720?\nAnswer: -17716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*r + 2912 = 141*r. Find the second derivative of -m**2 - 34*m + r*m**3 + 727*m**3 - 1458*m**3 wrt m.\nAnswer: -18*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1785024 divided by 8.\nAnswer: -223128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51 + 0.01. Let z = -1.2 + 0.2. Let f = 0.35 - 1.35. What is the closest to f in g, z, 1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1846905*t - 3*t**3 - 1846905*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z - 22*z = 280. Solve -3*w + 85 - 86 = -5*g, -5*g = -z*w - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 1. Let d(n) = 13*n - 41. Suppose 11*h = h + 30. Let l be d(h). Give j(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-24)\/(-100)*5*190\/(-152).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i - 23. Let o(l) = -43*l - 96. Let s(y) = 3*o(y) - 13*q(y). Calculate s(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*sqrt(147)\/sqrt(7)*-2)\/(sqrt(1050)\/sqrt(6) + sqrt(70)\/(sqrt(10)*-2)) + 2.\nAnswer: 2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-30)*15\/(-9). Which is greater: -21 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*w - 11, 3*g - 3*w = 12. Let z be (-3 + 26\/8)*(9 + g). Factor 5*x + 8*x**z - 3*x - 2*x - 2*x**3.\nAnswer: -2*x**2*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623607360 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 219623760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.16\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:24 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffttffgtqqtftttt. What is prob of picking 2 t and 2 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.4 - 12. Let r = -4.6 + p. Let i = r - -4.1. Which is the nearest to 2? (a) -2 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23271 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, g: 1}. Give prob of picking 2 u.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071*g = 1059*g - 84 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1137)\/360 + 3 + 6\/30.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + n)*(-4*n**2 + 8*n - 2*n**2 + 4*n**2).\nAnswer: -4*n**3 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1328 + -2589\/2. Let f be 6\/(-3 + 3260\/1084). Let w = f - 17039\/21. Calculate the common denominator of w and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2591296 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3420, 6791, 10172, 13563, 16964?\nAnswer: 20375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12404 + 0?\nAnswer: -12404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-44) + (-1042)\/24*-3. Let x = q + -109. What is the third smallest value in 0.01, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 - 88*g**4 + 336*g**3 + 1368*g**2 - 1620*g = 0. What is g?\nAnswer: -3, 0, 1, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-1)\/(-2 - -3). Let a be x\/(-22) + (-6)\/(-33). Suppose -62*q = 291*q + 353. Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4635466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 + 9*t - 7. Let r(j) = -j**2 + 5*j - 4. What is -3*g(m) + 5*r(m)?\nAnswer: 7*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-2 + -4 + -2). Suppose -4*g - w = 32. Let l(u) = -9*u - 21. What are the prime factors of l(g)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) - sqrt(64)*2)*4 - ((sqrt(40) - (sqrt(40) + sqrt(160)))*3)\/(sqrt(1152) - 2*sqrt(1152)))**2.\nAnswer: 1125\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37 - -38) + (2 - 1). Let h = -1 - -4. Solve y*s + 1 = h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (36\/40 + 35\/(-25))*14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-2)*o*o)\/o)**(-10\/3)*o**(4\/9)\/o**(-9))**(1\/12))**4 assuming o is positive.\nAnswer: o**(115\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(-10)\/(i**(-5)*((i**(-6)*i)\/i)\/i))\/(i*i\/(i\/i**(3\/2))*i**(2\/3)*(i**(-1))**(-3)) assuming i is positive.\nAnswer: i**(365\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/120 - m**5\/20 - m**4\/12 - 5*m**3\/6 - 15*m**2 - 3. Let d = -3 + 7. Let i be x(d). Solve i*j + 3 = -0*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4 + 210*g**3 - 4743*g**2 + 36612*g - 32076 = 0. What is g?\nAnswer: 1, 18, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9268, -9588, -9938, -10318, -10728, -11168, -11638?\nAnswer: -12138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -71.99613?\nAnswer: -72.39613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/60 + 4\/15. Find y such that 0 + 1\/2*y - m*y**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3683*k**4*m**2 - 4*k**3*m**2 + 3820*k**3 + 22885*k**2*m**2 - 2*k**2 + 9*k*m**2 - k*m - 6*k + 5*m**2 wrt k?\nAnswer: 88392*k*m**2 - 24*m**2 + 22920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 280510025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4225204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49372107 + 5187*t**4 + 49372107 + (-2 + 0 + 0)*(-t**4 - 5*t + 5*t) to k*t**2 + x*t + b*t**3 + n + d*t**4 and give d.\nAnswer: 5189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 188177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4899 + 9931. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 429.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 14*g**3 - 10*g**2 + 6*g**2 + 4*g**2.\nAnswer: -14*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840.35cm in millimeters?\nAnswer: 38403.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3606*b = -108337 - 17873 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 177613 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: Let c = 261\/7 - 37. Sort 1.2, c, -0.1 in increasing order.\nAnswer: -0.1, c, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514800 divided by -102960.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81461, -651591, -2199095, -5212661, -10180977, -17592731?\nAnswer: -27936611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from uppzzzzzzzzhzkx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2 + 81568*u + 831667328 = 0.\nAnswer: -20392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*z - 31*z - 8. Let v(t) = 4*t**2 + 15*t**z + 0*t**2 - t**2. Let f(q) = 2*q**2. Calculate v(f(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {p: 1, e: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56790 and 3747690?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 + -321541\nAnswer: -321540.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 9:57 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j**2 - 6*j + j**3 - 15 + 6 + 3*j**2. Suppose 0 = -4*f + 12, v - 4*f = 6*v - 112. Suppose 5*g + v = 0, -3 - 31 = -2*d + 5*g. Give y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = n - 4*n - 4*l, 4*l - 20 = -4*n. Let w be ((-9)\/(-4))\/(21\/56). Suppose n*v + 3954 = w*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*c + 4, -2*c = -0*v - 4*v - 12. Sort 4, v, -3 in descending order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -534 (c) -2\/19 (d) -4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 + -146. Let u(c) = 2*c + 15 + c**2 + 1 + 7*c - w. What is u(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {i: 3, c: 6, o: 2, a: 2, b: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let z(a) be the third derivative of -1091*a**5\/20 + 107*a**2 - 2*a. What is z(f(o))?\nAnswer: -3273*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*g = -8*g, 3*g + 24 = 3*n. Suppose 44 = 3*d - 5*y, d + n*y - 2*y = -4. Calculate the remainder when 23 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27473.\nAnswer: 83, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/5 + (-16)\/(-40). Solve 3 = -j - y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 - 2*z**2 + 2*z**2 + (3*z**2 - 4*z**2 - z**2)*(-5*z**2 + 4*z**2 - z**2) + 4*z**4 + 2*z**4 - 4*z**4)*(-469 + 604 + 284 + 154).\nAnswer: 2292*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 times 3?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u - 5. Let j be y(-2). Suppose 0 = -4*o + 151 + 1609. Suppose -h = 4*h - o. Calculate the greatest common factor of h and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1408)\/(-444)*(-12)\/(-10). Let v = i + 22\/37. Find the common denominator of v and -47\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 51\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 23*u - 8. Let x be b(2). Suppose 11*f - 72 - x = 0. Let d(v) = v**3 - 9*v**2 - 10*v + 5. Give d(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-3 - ((-5 - -1) + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455546 and 104.\nAnswer: 1822184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 270462933 a multiple of 4329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 678376.8 months in millennia?\nAnswer: 56.5314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8)\/q)\/(q**(1\/9)*q))\/(q**3)**(42\/11) assuming q is positive.\nAnswer: q**(-2135\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452 = -112*t + 444 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 88. Let f be 11\/22*(2067 + m\/(-3)). Let s = f + 366. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 132*h + 13. Suppose 22*b - 6 = 20*b. Is d(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = 35594. Let o = w - 88699\/5. Let b = o - 57. Does -1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - k = -522, -2622 = -0*o - 5*o - k. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-72)*3*(-2)\/(-10)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -513087638*x + 27957797?\nAnswer: -513087638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 8901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 8142?\nAnswer: 1\/2714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 257 and 42853.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 + 12*m + 6. Let n(r) = -9*r**3 - r**2 + 24*r + 11. Let q(z) = 4*n(z) - 7*t(z). Let o be q(-6). Solve -4*v = -o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**2 - 6*t + 5. Suppose -10 = 5*i - 3*i. Suppose -6 = -4*f + 5*f. Let m(j) = 8*j**2 + 12*j - 5*j - 1 - 5. What is f*k(d) + i*m(d)?\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.974 take away -839.6?\nAnswer: 840.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 9*w**2 - 11*w - 15. Let y be k(7). Suppose -2*g = -3*g - 4*x - 27, 0 = -3*g + 2*x - 25. Let u = y + g. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-220))\/(3\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 77. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2341781288.44 - 41\nAnswer: -2341781329.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 5*n - 9*n)*(2*n**2 + 0*n**2 + 0*n**2 + (-1 + 1 + 2*n)*(-3*n + 4*n + 2*n)).\nAnswer: -128*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*i - 38*i + 87 = 87 + 348 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*h - 89*h + 212*h - 17*h**2 - 25*h**2 to the form g*h**2 + l*h + z and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1 (c) 0 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a667 (base 11) to base 10.\nAnswer: -28750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3785 + 18?\nAnswer: -3767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -17b57c6?\nAnswer: 17b57b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(22)\/(sqrt(44)\/sqrt(4))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.91*-666.\nAnswer: 606.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 - 441*o = 0. Calculate o.\nAnswer: -147, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -15582, -5, -65, -3 in decreasing order.\nAnswer: -3, -5, -65, -15582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -75*w + 3982. Let i be l(53). Solve -4*j + 6 = -i*j - 3*f, -5*j = -f + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 44 = 3*r - 3*o, -7 = -r - o. Suppose 3*x + 5*y + 22 = -7, -2*x - y - r = 0. Let q(z) = 4*z - 4. Let g(h) = -2*h + 2. Determine x*q(a) - 5*g(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*k = -119*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114) - (1*sqrt(114) + sqrt(114)))*5)\/(sqrt(36)\/(sqrt(6)*2 + sqrt(6))*2).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((120\/(-110))\/12)\/((-1)\/(-3))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835785 is divided by 101?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 8177 - 8165. Solve 4*u = m + 8 + 3, -3*m + j = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90612, 90947, 91272, 91581, 91868, 92127, 92352?\nAnswer: 92537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2246*a**4 + 1664?\nAnswer: 8984*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11351413.648 rounded to the nearest one hundred thousand?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 22*d**2 + 44*d - 93. What is c(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 31 + 22*a + 13*a to k*a + b and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 - 166416*w + 1730892816 = 0 for w.\nAnswer: 20802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0*p - 2*l + 10, 0 = -3*l. What is the biggest value in -3, p, -1\/5, 0.057?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 2, b: 2, t: 1}. What is prob of sequence gbst?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -120, -248, -418, -624?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158730.\nAnswer: 2, 3, 5, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3682 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -868*f + 26913. Let g be a(31). Suppose -5*t - 4*r + 2 = 0, -3*r + 8 = -7*r. Solve 0 = -t*x + g + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, i: 1, v: 1, e: 1, m: 2}. Give prob of picking 1 v and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 5. Let o(x) be the third derivative of x**3 - 1\/60*x**5 + 0*x + 1\/24*x**4 + 0 - 2*x**2. Let b be o(-3). Give s(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fac when three letters picked without replacement from {a: 3, b: 1, w: 1, c: 1, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h. Let s(k) = -k**2 + 3*k**2 + 5*k**2 - 2*k**2. Give m(s(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 465160195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3509870 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 37*k + 21*k - 259560. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 = l - 5*d, 2*l - l = -3*d + 561. Suppose 3*g + l = 7*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -508*i - 256. Let x be y(-7). Let a = -1408 + x. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/84 and -73\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 636421500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (68\/(-8) + -3)*5856. Is 18 a factor of (-7)\/(-1) - i\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 1.5. Let z = -26.09 + 28.09. Which is the third smallest value? (a) q (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 234601 - 10?\nAnswer: 2345c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 4. Suppose 0 = 3*h + a, -12 + 36 = 3*d - 5*h. Suppose 8 - 33 = -5*t + 5*i, -3*t = d*i + 9. Are t and -6\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((4\/6)\/(12\/(-9)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 38. Let p be 4*((-27)\/(-12))\/(5 + d). Let w(j) = j**3 - p*j - 7*j + 8*j + j + 5*j**2 - 5. Calculate w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -798 - -732. What is the smallest value in j, 0, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 601204 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 18 = 5*j. Let k(u) = -u**2 + 10*u + 2. Is k(j) 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 7:32 PM and 11:45 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 - 113212?\nAnswer: -112232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - 2*m - 3*m)*(-6*m + 2*m + 2*m) + (-3 - 1 + 0)*(4 - 6 + 4)*(5*m**2 + 2*m**2 - 4*m**2) - m**2 + 76 - 76 to the form l + x*m + i*m**2 and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 8:52 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/(-40) - 3)\/(2\/4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14394219 minus 1?\nAnswer: -1.14394219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 5 - 3*f**3 + 8 - 3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 + (8 - 4 + 4)*(-2 + 2 - 1))*(z + 0*z - 2*z)*(-2 + 2 + 7*z).\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 15651792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 42*x + 185*x**4 + 242*x**4 - 503*x**4 wrt x?\nAnswer: -912*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 244.15, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -18*f + 53 - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8308 and 204653041?\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -0.32, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.2. What is the closest to o in -3, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353542426.543 minus -0.5?\nAnswer: -353542426.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 2\/((-23)\/(2990\/20)) - 51\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*(s*s\/s**(1\/2))\/s)\/s*s)**15)**(-46)\/((s\/s**(1\/3))**(-30\/11)\/(s**(2\/3)*s*((s*s**(-4)\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-79778\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135576885 by 29.\nAnswer: -4675065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.589t in grams?\nAnswer: 285589000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 1053000311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107614 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -217423001 divided by -6?\nAnswer: 217423001\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 1. Let g(h) = 1 - 835*h + 1640*h - 802*h + 0. What is -2*g(t) - 3*y(t)?\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -7346.38748 to 1 dp.\nAnswer: -7346.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*z - 9*z**2 + 2 + 98*z - 483*z.\nAnswer: -9*z**2 - 235*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64582942, 129165885, 193748828, 258331771, 322914714?\n\"Answer: 64582943*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 871.0845 milligrams in kilograms?\nAnswer: 0.0008710845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1445.86 * 1\nAnswer: -1445.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiiiiiieiiiieiii?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:27 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12266*u**3 + u + 12265*u**3 + 9*u + 115 - 15*u + 5*u.\nAnswer: -u**3 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1284\/18) + 8\/6. Which is the biggest value? (a) -4 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 2)\/(3 + (0 - 1)). Suppose h = 6*m - 8*m + 8. Let l = 30.9 + -19.9. What is the biggest value in 3, l, m, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450 (base 7) to base 3.\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*o - 38, -o - 90 = b - 96. Sort -1, 4, -192, b in ascending order.\nAnswer: -192, b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511878.3 rounded to the nearest ten thousand?\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 830*a + 3. Let v be p(3). Suppose -12*i - v = -13*i. Let u = 32391\/13 - i. Which is greater: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53534303*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*s**4 + 60 - 113 + 55 + (-4 + 2 + 3)*(s**4 + 2*s**4 - 6*s**4) as j*s + g*s**3 + h + o*s**4 + f*s**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -84591860 divided by 16918372?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18847?\nAnswer: 47, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88549 is divided by 253.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 2*p + 35. Let i(m) = 6*m**2 - 4*m + 68. What is 7*d(u) - 4*i(u)?\nAnswer: -3*u**2 + 2*u - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -944 and -22023.\nAnswer: 20789712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.41 and -64.9.\nAnswer: 91.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**2\/2 - 91. Determine h(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101899321?\nAnswer: 1987, 51283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1428\/13 - -110. Which is the closest to -0.1? (a) 3 (b) -2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17717835192 plus -165?\nAnswer: 17717835027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4303775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 585*d**2*x**3 - 13574*d**2*x**2 + 2*d**2*x + 21*x**5 wrt x?\nAnswer: 3510*d**2 + 1260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -58997 + -3 + 0 + 0. Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.55374t to grams.\nAnswer: 91553740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/13 - 281004*r\/13 - 9870406002\/13 = 0.\nAnswer: -70251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51.5 at least as big as -1\/665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42119409 divided by -1\nAnswer: -42119409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 9*h**3 - 3*h**3)*(2 - 3 + 0 + (2 - 1 - 2)*(0 + 3 - 1) + (-4 + 8 + 3)*(-2 - 2 - 3)).\nAnswer: 624*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6131199256 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -1, 73440, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 1. Suppose 19*x + 52 = 166. Let n(k) = 3*k**3 - 36*k**2 - 21*k + 582. Let h(y) = x*t(y) - n(y). Factor h(q).\nAnswer: -3*(q - 7)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157 and 42233?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/9518 or 1?\nAnswer: -7\/9518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -75\/49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -231?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/3 + 13*m - 38\/3 = 0.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 72508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001715 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - 4. Let s = i - -15. Solve s*g + 0 = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {v: 2, f: 2, j: 2, e: 1, u: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 92972?\nAnswer: 185944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from {s: 2, y: 1, r: 1, z: 1, l: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/((-32)\/(-144)). Let f(x) = -3*x - 9. Let t be f(i). Solve 14 = -3*w + 5*o + 1, t = w - 2*o + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**3 - 11*c - 4. Let w(g) = 3*g**3 + 2*g - 6. Let k(y) = -3*y**3 + 5. Let o(s) = 4*k(s) + 3*w(s). Give -6*h(n) - 11*o(n).\nAnswer: -3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*16\/(-6). Suppose -s*z = -12 - 8. Suppose 3*p + r = -0*r + 5, r = -4. Solve p = -4*q - z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/9 + (1 - 22\/16)\/(54\/(-1440)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + k + 32 - 39 - 3*k - 12*k to the form u + t*k and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26477\/25 + 1059. Put 3, -3, a, -2 in increasing order.\nAnswer: -3, -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -10*i + 8. Is 54*-1*(-4 - i\/(-6)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6*n + 7)*(2*n**2 - 3 + 3 - 2*n).\nAnswer: -12*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133.65 + 2.35. Let f = s + -136.4. What is the second smallest value in -3, f, -2\/7, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - x - 3. Let p(i) = -i**2 + 2*i + 7. Let m = -18589 + 18585. What is m*p(l) - 7*a(l)?\nAnswer: -3*l**2 - l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613606194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4333 and 25544273.\nAnswer: 178809911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 + -5) - -9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 1. Let s be a(3). Suppose s*n - 19 = -3*d - 3, -3*n = -d - 13. What is the highest common divisor of 6 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 3*f + 2. Let a be t(3). Let h(i) = -7*i**2 - i - 1. Let w be h(-1). Let l be (-3)\/(-12) + w\/(-20). Sort a, -5, l in descending order.\nAnswer: a, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -131*y**8\/336 + 71*y**4\/24 + y**3\/6 - 127*y**2. Find the second derivative of g(h) wrt h.\nAnswer: -2620*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 0 - (-1 + 1). What is the remainder when ((-50)\/x)\/(2\/(-4)) is divided by -4 + -2 + 24 + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 5 - 5 + 1)*(-53*p**2 + 53*p**2 - 2*p**3) + 2 - 2 - 7*p**4.\nAnswer: -p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520931.\nAnswer: 17, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89143 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 27, 24, 5, -36, -105?\n\"Answer: -a**3 + a**2 + 11*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k*z**4 - 4*k*z**3 - 10663*k*z**2 + k*z - 2*k + 30*z**4 - 737*z**3 - 22*z**2 + z wrt z?\nAnswer: -144*k*z - 24*k + 720*z - 4422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 2 = -6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*f - 16, 4*f - 27 = -5*v + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(0*h + 450 - 455 + 5*h) to d*h + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -24.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(5) + sqrt(5) - sqrt(5))*3 + -5.\nAnswer: -5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4574613591 to the power of 1\/2, to the nearest integer?\nAnswer: 67636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 10) to base 8.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34981439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -391 (b) -15.41 (c) 22\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, 1\/2, 0.2, -0.22?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - 87*g**2 + 0 + 1 - 79*g**2 + 252*g**2 - 79*g**2 to the form i*g + r*g**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 2973 = 2257. Let k = b + -507. What is the lowest common multiple of 36 and k?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = -2*c - 70, 3*c + 1102520*i = 1102522*i + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -1, -2, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:30 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1) + (-22)\/2. Suppose -3*q - 18 = -63. Let c = u + q. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -14. Suppose s*d + 43 - 138 = 0. Calculate the remainder when 55 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + (0 + sqrt(637))*5)**2.\nAnswer: -350*sqrt(13) + 15947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*v - v - q, -2*q - 14 = -v. What is the least common multiple of v and 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 21574 = -9*q + 9*q. List the prime factors of q.\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, 5, 0.8, -8, -1, -867?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -465 smaller than -805312\/1729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -565149423623.\nAnswer: -565149423627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -47*f - 3. Let u = 1 - -5. Suppose -14 = 2*w - u. Is i(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29875 is divided by 5974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l**(-5\/4))**(13\/2)*(l*l**(-2\/15)*l**(3\/2))**(1\/2) assuming l is positive.\nAnswer: l**(5797\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - 65\/(-25). Let o(p) = -4*p**2 - p**3 + s*p**2 - 5*p + 4 - p**2 - 4*p**2. What is o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1347, 2089, 2831?\nAnswer: 3573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1))\/(5 + -7). What is the units digit of -2*(v + 15\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4419, 8573, 12727?\n\"Answer: 4154*j + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26429233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 80*l. Let a(s) = -149*s - 2. Determine q(a(y)).\nAnswer: -11920*y - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*n = -18 + 4, -2*p - n + 7 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 18. Suppose h = j + 10, -3*j + 0*j + u = 0. What is the remainder when 58 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -5)\/(-2) - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - g + 41. What is c(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30133031101 (base 4) to base 3\nAnswer: -20011022110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 839.586 * 0.3\nAnswer: 251.8758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174 + 418 - h - 5*h - h**2 + 8*h - h to x + n*h + a*h**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113\/(-10) + 21 + -12 + 23 + -21.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:39 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*4\/(-20)*1*14*(-70)\/(-49).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83525 + 1167349\/14. Let x = s + 143. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6114, -6121, -6118, -6093, -6034?\n\"Answer: 2*f**3 - 7*f**2 - 6109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 2. Let j be v(-7). Let y(o) be the first derivative of o**2\/2 - 9*o - 15. Let d be y(5). Sort d, 2, j in descending order.\nAnswer: 2, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 7 + 18. Suppose -4*s + b = -13, -2*b = 3*s - 6*s + n. Suppose s = 3*v - 6. Solve -6*k + 6 = -v*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(2\/23)*n**(3\/20) assuming n is positive.\nAnswer: n**(489\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - w + 29 = -197, -3*x = 7*w + 668. Let r = 229 + x. Sort -247, r, -3.\nAnswer: -247, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17079147515.003 and 5?\nAnswer: 17079147510.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422160218167 + 1.\nAnswer: 422160218168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -111404*p. Let i(h) = -110*h**2. Determine i(z(a)).\nAnswer: -1365193633760*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 16*k. Suppose 0*t = t + 15. Let n be -18*(-3 + t\/(-6)). Let x(d) = 53*d + 58*d - 115*d. What is n*x(w) + 2*s(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 0 + (-14 - -9) + 1 + 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*-5.099\nAnswer: -11.2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2) + -2 + -3 + 732. Suppose 2*s - 1138 = 616. Suppose 8*a - z = s. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 - 762*t**2\/7 - 96774*t\/7 - 4096766\/7.\nAnswer: -2*(t + 127)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 116 = 5*l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37755 divided by 3540.\nAnswer: 2517\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.2. Let y = 1.12 - 0.82. What is the second smallest value in y, h, 4\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 + -108878?\nAnswer: -108828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 7153944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12246\/79, 1, -9 in decreasing order.\nAnswer: 12246\/79, 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 212 - 44 = 0. Suppose t = 57 - y. Let s = 11 + t. Solve 2*c - 19 = -9*d + 4*d, -s = -4*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(sqrt(40)\/(sqrt(20) + sqrt(5))) - ((-2*sqrt(112) - sqrt(7)) + 0)) + 3 + -1)**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 5. Suppose -p - x = -3*c, 2*p = c - 2*c + 7. Suppose -p*m + 8 = 3*q - 0*m, -q + 4 = 2*m. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 279310*q + 2793000.\nAnswer: (q + 10)*(q + 279300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 26 - 220*c)*(2 - 2 + c) as x*c**2 + z + u*c and give x.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23043060 divided by -5760765?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + g**2 + 24 - g - 23 - 3*g as d*g + j + h*g**2 + k*g**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 7*y**2\/2 - 11*y - 1. What is the tens digit of k(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 160 + -30 + 17 + (-24 - (4 + -26))?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225996644 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*o = 228*o + 420 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-3))\/((-10)\/(-15)). Suppose 0*c - 2*s - x = -c, -2*s + 22 = 3*c. What is the units digit of 26 + (3 - (c - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(512) - (((sqrt(512) + sqrt(512)*-2 - sqrt(512)) + sqrt(512) - sqrt(512)) + -3 + sqrt(512)) - -2*sqrt(512)*3) + 3)*-1 + 1)**2.\nAnswer: 1280*sqrt(2) + 32793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1573 and 153639629.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*y**2)*(-2 + 4 - 1)*(-y - 2*y**3 + y).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/24 + (-6 - (-116)\/16). Solve 2*i + 2*p - k = 5*p, 5*i - 3*p = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -282 or -387?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*v + 114 = 0, 4*v = -4*u - 0*u - 108. Which is greater: u or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1 + 5 + 1. Suppose -5*d - 54 = -a, -3*a + 11*d = 8*d - 42. Solve p = q*o - 2, 2*p + 8 = a*p + 2*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(105\/(-4626)) + 4\/(-10). Let x = 1608 - v. Round x to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5556 - -144256?\nAnswer: 135400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 11*k**2 + 8*k + 22. Let h be p(10). Sort -1, -5, -13, h in increasing order.\nAnswer: -13, -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**4 - 3*q**3 - 5*q**2 - 5*q + 4. Let p(b) = 4*b**4 - 2*b**3 - 4*b**2 - 4*b + 3. Let t be 3\/(2 - -7)*12. Let k(y) = t*p(y) - 3*i(y). Factor k(u).\nAnswer: u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203103120212 (base 4) to base 13\nAnswer: -1bc03cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x**2 + 8*x - 7. Let q be y(1). Let v(d) = d**3 + 9*d**2 + 12*d - 3. Let j be v(q). Solve -5*z = c, z + 3*z + 3*c + j = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (2 + 1)) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 8 = 64*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*y + 2*y**2 - 13*y - 2 - 36*y - 2*y**4 - y**3 as g + a*y**4 + h*y + o*y**3 + q*y**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197 + 179. Calculate the lowest common multiple of 30 and (-3)\/c*6 + 49.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*c + 625*c = 1295*c - 4216 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 1) + -31 + 20 + 30 + -20?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10779 is divided by 3586.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 64*u**2 + 187*u - 73*u - 28*u**3 - 46*u - 24 = 0.\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9556 is divided by 8632?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**5\/10 + 7*r**2\/2 + 3*r. Differentiate g(q) with respect to q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1802177\/12669975 + -1\/56311. Calculate the common denominator of u and 89\/144.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140211.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 4*q**2 - 41*q - 38. What is w(-8)?\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29015069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ssfppspfsffpsps?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.45 - -1?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 1 + 4*f**2 - 1. Let g(w) = 9*w**2 + 4*w. Suppose 0 = 11*d - 15*d + 24. What is d*g(r) - 13*s(r)?\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 15 = -5*c, -3*t + 13*c - 18*c - 17 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5175, 10416, 15779, 21324, 27111, 33200, 39651?\n\"Answer: 10*k**3 + k**2 + 5168*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-9) + (-238)\/6. Let x be ((-24)\/(-10))\/(12\/v). Let y = x - -11. Solve g + 19 = -y*i, 4*i = -4*g - g - 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/47 + 57\/235. Let c be (-6 - -5) + (-115)\/(-4). Let i = -28 + c. Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 4 - 3*y + 10*y**3 + 4*y**2 - 4*y**3 - 3*y**3 - 9*y**3. Let a(x) = 1 - 2 + 2 + x + x**3. Suppose -w - 5 = -1. Calculate w*a(o) - q(o).\nAnswer: 2*o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175240087*p*w**2 + 28*p*w + 431*p - 19*w + 39 wrt w.\nAnswer: -350480174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (2 + (12 - (6 + -18)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**19)**(-1\/9) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 times 0.063387?\nAnswer: -4.817412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 + 113. What is the remainder when w is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 - j**2 - j + 2. Let p be y(2). Suppose -r - p = -8*r. Sort -3, 5, 2, r in descending order.\nAnswer: 5, r, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Suppose 8 = 3*k - 2*b, -g*b = -2*k - 1 + 10. Let q be 24\/(-13) + 2 + (-1638)\/(-338). Solve -z = q - k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*s - 8, -24 = -2*v + 5*s - 1. Suppose -3*k + 17 = -28. Suppose -4*m + k = m. Sort 1, v, m.\nAnswer: 1, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237495768541\/243090 + 36148699\/37. Let n = -54\/365 + g. What is the common denominator of 79\/8 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzzsmrrrrrrrcu. Give prob of picking 1 c and 2 z.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(1053)))**2.\nAnswer: 1296*sqrt(13) + 38052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e0356 - 3?\nAnswer: 2e0353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 14*z**2 + 6*z + 29. Let v be s(-15). What is the greatest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808140163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -494471885946?\nAnswer: 494471885946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 5*t**2 + t**2 + (3*t**2 + 0*t**2 - 5*t**2)*(-1 + 4 - 2).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1100) + -1 + sqrt(1100) + -4 + sqrt(1100) + -1 + -1.\nAnswer: -10*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 + y + 1. Let z be l(-1). Let c be (1 - 0)\/2*z. Suppose -4 = c*j - 24. What is the remainder when 9 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccd when three letters picked without replacement from {w: 2, c: 4, d: 1, f: 1, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 115*n**3\/6 - n. Let d(w) be the second derivative of -w**3\/2 - 5*w - 13889. Give d(k(c)).\nAnswer: -345*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d*d**8)\/((d\/(d*d**(-2)))\/d*d**(-5)*d)*((d*d\/(d\/(d**(-1\/2)*d))*d)**(-1\/9))**(-41) assuming d is positive.\nAnswer: d**(565\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 424.\nAnswer: 7208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1082 divided by -2816\nAnswer: -541\/1408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 174 (b) -0.2 (c) -193 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5375 by -1075.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -0.08 (b) -4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94239637?\nAnswer: 139, 677983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 20 = -t + 5*t, 4*t - m - 12 = 0. Let a be 8 + (36\/t)\/(-3) - -1. Suppose -211 = -7*i + a*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 1*sqrt(363) - sqrt(363))**2 + 3 + ((sqrt(1800) + sqrt(1800)*1)\/sqrt(6))**2)*-1.\nAnswer: -1566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, -2, -1\/9, 1\/29, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -323?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 401*u**2 - 411*u + 4. Determine g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1411681, 1411531, 1411369, 1411189, 1410985, 1410751?\nAnswer: 1410481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21931 = -31*k + 5876. Suppose 0 = -5*j - 20, 6*z - 5*z + 5*j = k. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/80)\/(1\/(-6))*(-260)\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/7 (b) 0.01 (c) 708\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - a = -521, -4*i = -2*a + 2084. Let k = 850 + i. Let h = k - 120. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155\/310*(-6)\/(-5)*5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3452 or 5168?\nAnswer: 5168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 307 (c) -5 (d) -1\/6 (e) -3 (f) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 39808 = -4*i, 16*i + m + 29854 = 19*i. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 11:40 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 1. Let h(i) = i**2 - 11*i + 11. Let n be ((-7)\/14)\/(2\/(-40)). Let q be h(n). Give r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 14309*n**3 + 28*n**2 + 35*n - 7814. Let s(t) = -7155*t**3 - 16*t**2 - 20*t + 3907. Let f(y) = -7*s(y) - 4*z(y). Differentiate f(b) wrt b.\nAnswer: -21453*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 3:14 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -m - 0*m, 4*u = m - 16. Let h = 24 + -20. Suppose -3*w - 3*z + m = -h*z, 4*w - 4*z = 0. What is the remainder when 19 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15500*b + 96*b**4 - 15500*b + (-4*b**2 + 4*b**2 + b**2)*(3*b - 3*b - 2*b**2) - 3*b**4 + 5*b - 5*b as q*b**3 + i*b + n*b**4 + c*b**2 + w and give n.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -5) + -4 + 8 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.8. Let f = -1022.8 - -1023. Let v = u + f. Put -2\/15, v, 1 in ascending order.\nAnswer: -2\/15, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -71.8. Let u = l - -44. Let y = 27.99999956 + u. Round y to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13441.\nAnswer: 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -1\/6*k**4 + 2\/15*k**5 + 0*k**2 + k - 1\/9*k**3 + 0. Factor t(w).\nAnswer: 2*w*(w - 1)*(4*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*((-4)\/(-8) - -1). Suppose 2*j = x + 17, -6*j + 3*x = -4*j - g. Solve -3*r + 6*r - j = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -37*o**4 - 14*o**3 - 23*o - 166. Let i(k) = 13*k**4 + 5*k**3 + 8*k + 55. Let c(z) = -17*i(z) - 6*j(z). Find the second derivative of c(y) wrt y.\nAnswer: 12*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 106 = 5*r - 9, -3*d + 5*r = -241. What is the derivative of -79*y + 26*y - 14*y + 211 + 20*y - d*y wrt y?\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from eqeqqeeekqqqeqqqqeqq.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yssy when four letters picked without replacement from {y: 16, s: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x = -3279 + 1879 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3150)\/8)\/21*(-20 - 0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (2 + 1 + (14 - 12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**3 + 6*m**2 - 7*m - 3. Let k(d) = -64*d**3 - 2*d + d + 63*d**3 + 1 + d**2 - 2. What is 6*k(b) - v(b)?\nAnswer: -2*b**3 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*w - 10903 = -612. Calculate the remainder when 16766 is divided by w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*j + 4, -b + j = 11 - 15. Solve i + 4*u + b = 19, -4*u + 19 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = -3*p, 2*f = f - 5*p - 19. Suppose 0 = -3*v + 90 - f. Suppose 34 = y - 21. Calculate the remainder when y is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 31*a - 36*a. Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 77 = -5*v. Let f be (-1)\/(6\/3)*-2. What is the tens digit of v\/(-3) + f\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 110928629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003843 rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**(-1\/36)\/(q**3*(q\/(((q\/(q\/(((q*q**(-6))\/q)\/q)))\/q)\/q))\/q))**(-16\/5) assuming q is positive.\nAnswer: q**(8648\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26201 - -26218. Solve -15 = -5*z, -8*d + 3*d - f = -4*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (3\/3 + -4). Is (-2 - c)\/((-2)\/485) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680804165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*t = 245. Let w be t\/126*8 + (-4)\/18. Solve a + 3*i + 5 = 0, -w*i = -4*a + 2*i + 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*n + 11 = 0, 0*g + 4*g - 23 = 5*n. Suppose q = g*k + 5*q - 56, 3*k - 48 = 3*q. Solve 4*i + a = k, 4*a = 3*i - 4 - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + -7 - (-1 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25002)\/(-6) + -8*10\/20 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 18*m**2 + 23*m + 93. Determine b(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 230\/(-207)*(-6)\/5\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.91 - 306.09. Let x = -309.999633 - n. What is x rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2478742, 4957480, 7436218, 9914956?\n\"Answer: 2478738*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3126644937 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131.5*160.\nAnswer: -21040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -47) + -16 - (3 - (43 + 0 - 1))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 6) + -4 + 4. Which is bigger: 5\/66 or f?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -3. Let z = -3 - k. What is the second derivative of w - w - w + z*w - w**2 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.87139nm to meters.\nAnswer: 0.00000008787139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 99 = -k + 119, -6*c - 24 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/(((-95)\/76)\/(-5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(150) - sqrt(150))\/sqrt(2) + sqrt(24)\/(sqrt(8)*1*-3))**2.\nAnswer: 3721\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:43 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*w - 9964 = 660*w for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 8*h - 27. Suppose -5*p + 745 = -2*g + 7*g, -h*g + 741 = 5*p. What is the greatest common factor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u, 3*z - 2*u - 885 = 377. Suppose 3*v = -19 + z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15 + 7)*2\/4. Let j(o) = o**2 - 7. Let v be j(-5). Let z = v - r. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kznnkfnfgknnn. What is prob of picking 1 k, 2 f, and 1 g?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1377843486 rounded to four dps?\nAnswer: 0.1378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 14*i - 21. Let a = -279 - -844\/3. Which is greater: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 431.99946 - 432. Round r to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/639600 and -37\/936.\nAnswer: 1918800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 7*l + 2*n + 22, 181*l + 2*n - 12 = 184*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 15. Let h be n(0). Suppose 2*z - 7*z = h. Let w be (z\/3 - -2)*-4700. What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696463 times -1?\nAnswer: -1696463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from dvdvhddvhefddh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99)*2 - sqrt(99))\/sqrt(9).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/130 + y**4\/13 + 4*y**3\/13 + 8*y**2\/13 - 5*y + 7. Find o, given that p(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1617 and 882.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 249707629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/(2\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(33) - (sqrt(297) + (sqrt(297)*2 - sqrt(297))))\/(sqrt(12)*-5).\nAnswer: sqrt(11)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 27. What is v(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-5) - (-1407)\/(-105) - (9 + 7194\/(-297))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 12. Give s(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u**3 + 150*u**2 - 11*u + 30. Determine n(15).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4495*p - 3*y = -4493*p - 4, 2*p - 5*y = -12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 - 10*y**2 + 14*y - 6. Let h be r(3). Solve -170*u = -161*u + h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/16)\/((-2)\/(-4)). Suppose -s*c + 4*c = 268853. Let u = 1518853 - c. Round u to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47390177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (13 - 15) - (-16 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b + 51 = 0. Let j be (-3)\/4 + b\/12. Is 4 a factor of (3 - j) + (-1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 117*f + 20 - 435. Let u(p) = -5*p - 16. Let a(r) = 4*r + 16. Determine f*u(s) + 6*a(s).\nAnswer: -s + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - n)*(-1 + 1 + 3*n - 4*n - 2*n + 3*n + n + 0*n - 2*n + n + 3*n - 2*n + (0 + 3 - 1)*(-2*n + 1 - 1))*(6 - 3 - 2).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - 33 - 21*j + 28*j - 9*j)*(-4 - 7 + 2) in the form u + b*j and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5474 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 18*g**2 - 2*g + 31. What is the hundreds digit of p(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 4.3. Which is the nearest to x? (a) 2 (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 4*a**2 - 3*a - 2. Let b be w(-2). Let s = -2 - b. Is s greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 130*z**3 - 61*z**3 + 8 - 65*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 109960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d919a + -3b?\nAnswer: d915e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 63*i + 189. Let r be m(-3). Let v = 88 - 88. Solve -5*k - 4*a = -r*a - 32, v = 5*k - 3*a - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 7425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + f**4 - 2*f**3)*(-2 - 7 - 7)*(-3*f + 2*f + 0*f).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 - 1 - 2 + 1 + 2 + (0 - 2 + 1)*(-2 - 1 + 1) + 0 - 2 + 1)*(3*v**5 + 2*v**5 - 3*v**5).\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 9)*2*-1. Let b = m + -10. Suppose -k + 21 - 4 = 5*s, 2*s + b = 5*k. What is the greatest common factor of 9 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - 7*f**4 - 13*f**4 + (-1 + 2*f**2 + 1)*(-2*f**2 - 2*f**2 + 2*f**2).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 9 - 16 - (0 + -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.76937 * 0.12.\nAnswer: -0.6923244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156900, 312793, 468686, 624579, 780472, 936365?\nAnswer: 1092258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 153941417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170 (base 11) to base 10.\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -553, -549, -547, -547?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2886 = 5*b + 2979, -62 = 2*h + b for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1156 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 110 = -z - 102, -52 = -2*z - k. Solve -12 + z = -6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d - 4 = 0. Let u be 11\/1 - (-1 + d). Let t = -6 + u. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 43056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1431114 is divided by 476879.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*o + 612 = 119*o. Let l(b) be the first derivative of b**3\/3 + 17*b**2\/2 - 1. Let q be l(o). Solve q = -2*t + 3*s - 3 + 11, 0 = -5*s - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -24)\/((-78182)\/(-97))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10456.77304 - 10469.4. Let v = -13.427 - f. Let q = 0.8 + v. Round q to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 13*f**6\/6 - 41*f**3 - 76*f**2 + 2*f. Find the first derivative of x(y) wrt y.\nAnswer: 780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 6*r - 12. Give u(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 6*q**2 - 9*q - 9. Let t be w(-7). Suppose 5*a - 4*o - 678 = 0, -t*o - 222 - 458 = -5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 3*q + 30 = -25*v, 0 = 2*v + 5*q - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 10, -1, -16?\n\"Answer: -2*h**2 - h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 38*f - 11861 - 7574. What is the remainder when f is divided by 217?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/15 in -4, 97, 102?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w - 18 = -5*z, 2*w + 11 = 3*z. Solve o - 1 = -z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202000332 (base 4) in base 16?\nAnswer: e203e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from {w: 2, g: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*c**4 + c wrt c.\nAnswer: -1884*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 17baabb?\nAnswer: -17baab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**2 - h - 1. Let t = 17 - 14. Calculate r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15157528?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41003 is divided by 13069.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 271*r**5\/30 + 26*r**3\/3 + 503*r**2. Find the first derivative of h(k) wrt k.\nAnswer: 1084*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1410 + -1409.5. Which is the nearest to 0? (a) -2 (b) -91 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1397, -1398, -1399?\n\"Answer: -z - 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r = 5*m - 28*r + 7, -12*r - 32 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-5395)\/(-525) - (-5 - 584\/(-120))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**2 + 5*q - 5 - 1\/4*q**4 - 4\/3*q**3. Suppose 2*c = -2*u - 0*c - 14, 3*u - c + 9 = 0. Give b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Suppose 12 = 3299*k - 3297*k. Let w(r) be the first derivative of 5*r**2\/2 + 9*r - 95. Determine k*a(b) + w(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 29. Let s = d + -5. Suppose v = -s*j + 3 + 3, 5*v - 14 = j. Solve -2*g - j = 3*g + q, -2 = 3*g + 2*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3979763826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*k = -5*k - 65, -184 = 4*m + k. Is ((-18)\/m)\/((-2)\/(-10)) - -899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -502*h**4 - 792*h**2.\nAnswer: -12048*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7298140 + 155*f**2 - 7298140 + 270*f.\nAnswer: 155*f**2 + 270*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.129558 from 62.\nAnswer: 61.870442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8999031 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g + 1\/2*g**2 + 15\/2*g**3 + 0. Is k(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368395 - 368115 = -3626*n - 279634 for n.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, -0.3, -0.07, 97, -3\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13338 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 49?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 3\/(-2) + 4)*4. Is ((-1222968)\/14)\/(-4) + l\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26122.2 rounded to the nearest 100?\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 - s**2 + 2*s - 1. Let p be w(1). Suppose 89 = 3*n - p. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-198)*3*39726. Is a at least 13242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 68*d - 14469.\nAnswer: (d - 159)*(d + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1815, -3625, -5435, -7245, -9055?\n\"Answer: -1810*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 13) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 11. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 19.42627us?\nAnswer: 19426.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 17*s + 19. Let n be y(-16). Solve -5*c - n*w = -7, 4*c + 2*w + 3*w - 16 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 13993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m - 13. Determine f(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 540233 (base 8) to base 15\nAnswer: 386a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + 235. Let i = -305 + y. What is the greatest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 + r + 2. What is the remainder when 14 is divided by j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j**9)))\/(j*j*j**(-7\/5)*j*j)*(j*j\/j**8*j)\/j*((j\/(j*j**(3\/10)))\/j)\/j assuming j is positive.\nAnswer: j**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/20 - (-13)\/((-2990)\/(-637537)) and 24.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 v when three letters picked without replacement from {y: 1, o: 2, v: 2, l: 1, h: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-12))\/((-2)\/12). Suppose 0*u - u = 3*q + 20, 3*u + 5*q = -48. Let v = -4 - u. Solve -v + n = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 23 + 21 = 5*t, 31 = q - 2*t. Sort -8, -6, q in descending order.\nAnswer: q, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(35\/(-15)))\/(9\/(-48)). Find the third derivative of -40*x**6 + 48*x**6 + 10*x**2 + w*x**2 wrt x.\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 + 2\/4. Solve -2*z - 10 = 3*f, 3*z + f + n*f + 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 187, 387, 597, 823, 1071, 1347, 1657?\n\"Answer: u**3 - u**2 + 196*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80167432?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q. Let t(k) = 7*k**4 + 12*k**3 - k**2 - 5*k - 30. Let a(f) = -5*o(f) - t(f). Let s(p) be the first derivative of a(p). Factor s(y).\nAnswer: -4*y*(y + 1)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 125984405 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 12:40 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6153 is divided by 5257?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 394771.7.\nAnswer: 394772.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 41*z + 0*z**5 + 0*z**4 - 5\/21*z**7 + 0*z**6 + 0*z**2 + 0 - 43\/6*z**3. What is the second derivative of q(d) wrt d?\nAnswer: -200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 14*k - 2 - 13*k + 41*k - 14*k. Let f(n) = 10*n. What is f(c(i))?\nAnswer: -60*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 18*m - 5. Differentiate m*v**4 + 4 + 1 + 1 wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -60. Calculate the greatest common divisor of z and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-10)\/o*o*o**(-1\/2))\/(o**(-2\/7))**(-50) assuming o is positive.\nAnswer: o**(-333\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1739 - 1794.67. Let w = -0.091 + 56.091. Let n = q + w. Round n to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 55 = -2*i, -83 = -2*s - 5*i. Let f = s - 48. Let h be (-1)\/(0\/(-7) - (f + 0)). Put -5, 2, h, 3 in descending order.\nAnswer: 3, 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*d - 6899 - 1518 - 9255 = 163*d for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 625219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374955, 749911, 1124869, 1499829, 1874791, 2249755, 2624721?\nAnswer: 2999689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjj when three letters picked without replacement from {e: 1, t: 2, v: 1, k: 2, j: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 98 = 4*j. Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 938, 923, 884, 809, 686?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 5*i**2 + 6*i - 3. Let h be o(4). Let f = -2 - -5. Suppose 2*n - 2*k + 19 = f*k, -3*k - 1 = h*n. What is the closest to 2 in 3\/2, -4\/7, n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, 1\/5, 5, -4, 2\/221 in increasing order.\nAnswer: -4, 0, 2\/221, 1\/5, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3820.05243 + 3820. Round a to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - (7 + -12 + 12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -12, 176, 598, 1332, 2456, 4048, 6186?\nAnswer: 8948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 2*b + b + (1 - 1 - 1)*(-2*b - 5*b + 5*b) + (-2 + 0 - 6)*(0*b - 3*b + b).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.9351052 rounded to 3 decimal places?\nAnswer: -143.935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/493235 greater than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let u(o) = -3*o - 1. Calculate 2*h(k) - 2*u(k).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.7. Let f = -12 - -11.8. What is the nearest to 2\/3 in w, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*s**3 + 0 + 0*s + 0*s**2 - 2\/9*s**4.\nAnswer: -2*s**3*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 152, 163, 190, 239, 316?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.217 * -0.3579\nAnswer: 0.0776643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -140. What is the highest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75417 = -3*p - 3*r, -p + 4*r = -15746 - 9388. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*n + 106*n + 99*n + 113*n - 521*n + 109*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 262, -5924, 2 in increasing order.\nAnswer: -5924, 2, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((40\/(-16))\/5)\/(2\/12). Put -2, 2, s, 1 in ascending order.\nAnswer: s, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**2\/2 + 17*x + 24. Let k be h(14). What is the greatest common factor of k and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 - 2)*(-r + 2 - 2) + 2*r - 3*r + 2*r)*(r + r**2 - 2*r**2 - 2*r) to the form g*r + c*r**3 + z*r**2 + v and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*n = -16, 0*n - 4*n - 16 = 0. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16702 to 3 decimal places.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 65646?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = 53919*m - 53921*m - w + 51, 5*m + 2*w + 395 = 0 for m.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*u - 714*u + 159*u + 145*u + 161*u + 158*u.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -932 = -2*k - 0*k. Let l be (-5)\/(198\/195 - 1). Let x = l + k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21517845 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - v - v + 3 - 3 + v + (-1 + 3 + 0)*(0*v - v - v) - 2*v + 4 - 4 + 4*v + 2*v - 4*v - 3*v + 2*v + 0*v + 3*v + 44*v - 13*v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 330. Calculate the greatest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, v: 4, h: 2, e: 1, q: 2}. Give prob of picking 2 h and 1 q.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j - 63*j + 5*j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 40692*u - 3 + 40810*u)*(0*u + 3*u - 5*u)*(1 - 2 + 3) in the form c*u**2 + f + p*u and give c.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -1202599.\nAnswer: 60\/1202599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -2\/19, -0.1, -0.155?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 25 = -5*w, 4*w + 4 + 8 = 0. Suppose -4*p + 0 = -4*c - 4, -c = o*p - 11. Suppose -m = i - 2*m - 112, 10 = -p*m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251715 divided by -2595?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -19, -28?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6035 times 0.07\nAnswer: -422.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 137*v**2 - 404*v - 8. Calculate s(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 9 - 4*f**2 - 12*f + 0*f**2 + 8*f + 5*f to d*f + q*f**2 + c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * 25.1\nAnswer: -0.8534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-20))\/(3\/30). Let m(o) = -o**3 + 6*o**2 - 2*o - 13. Calculate m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-90) - 92\/210?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121627, 120521, 119415, 118309, 117203, 116097?\nAnswer: 114991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 9. Suppose g + 91 = t, -g + 359 = 4*t - 4*g. Let x = t + -84. Let l be ((-3)\/x)\/(69\/(-368)). Calculate c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 84*b - 639 = 0. Solve 0 = -b*c + 8*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 42 - 14 - -50?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -739 + 3345. Suppose -2*a + 1974 = -f. Round a to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y - 4. Suppose 0 = 16*u - 51 - 45. Determine o(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24911\/11 - 2261. What is the common denominator of w and 13 - 1469\/39 - -7*1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237.65 - 91.65. Which is the fourth biggest value? (a) -0.8 (b) -4 (c) u (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 b when four letters picked without replacement from bkbkbkkkkbkkbkbkk.\nAnswer: 11\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*d**2\/11 + 9028*d\/11 + 1488\/11 = 0. Calculate d.\nAnswer: -12\/73, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 96*k**3 - k**2 - 10*k + 6. Let q(u) = -95*u**3 + u**2 + 11*u - 5. Let m(f) = 4*b(f) + 3*q(f). What is the units digit of m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-45))\/(4\/10)*(-147)\/(-63)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 3528*j**5\/5 - 2121*j**2 + 10306. What is the second derivative of h(k) wrt k?\nAnswer: 42336*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9443, 17195, 24965, 32759, 40583, 48443?\nAnswer: 56345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62151 is divided by 2810.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 3. Let o(r) = -r - 8 + 4 - 2*r. What is -3*o(d) + 4*p(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -3319248?\nAnswer: -3319248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 5914105.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 56. Let f(b) = -b - 4. Let r be f(-3). What is the remainder when 3 + r + 2 + 21 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 5*d, 4*n + 58 = 5*d - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - h**2 - h**2 + (-2 + 1 + 0)*(h**2 + 1 - 1))*(-670*h - 668*h - 639*h + 11 + 1436*h).\nAnswer: -541*h**3 + 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 9*b - 8. Solve 0*y - 3*y = n - b, 4 = n - 2*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -13. Solve -l*i + 5 = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11016 - 10290. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3185.42 litres?\nAnswer: 3185420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914459?\nAnswer: 7, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 6*x + 291. What is the units digit of n(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1634527\/120 + -13620. What is the common denominator of t and 21\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/8)\/(15\/20)*(-60)\/(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 - 2)*(2 + 1 - 4) + (0 + 2 + 0)*(1 + 2 - 5) + 110 + 25 + 24)*(1 - 1 - u) to v + z*u and give z.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20*b**3 - 14*b**3 - 4*b - b - 4 - 7*b**3 - 3*b**2. Let s be a(-3). Suppose -9*i = -s*i + 120. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -3 - 28 - (25 + (3 - 8)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 22*c - 115. Determine y(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -665885725 and -1.9242.\nAnswer: -665885726.9242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, v: 2, o: 4}. What is prob of picking 1 t and 2 o?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 11*a**2 + 22*a - 19. Does 11 divide x(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*f**2 - 390668966*b**2*f - 63597*b + 4*f**2 + 58*f wrt b.\nAnswer: 2*f**2 - 781337932*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -150*m**2 - 13*m + 58. Let l(i) = -48*i**2 - 4*i + 19. What is 13*l(h) - 4*q(h)?\nAnswer: -24*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.1064.\nAnswer: 0.4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -977676871\/1368 - -714676. What is the common denominator of -59\/684 and p?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(3\/6 + -2). Let u be (i\/10)\/((-6)\/15). Are u and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*234\/(-195)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/((-5)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(((h*((h\/(h*h**(8\/3)*h))\/h)\/h)\/h)\/h)*h*h\/h**(-3) assuming h is positive.\nAnswer: h**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - f + 4*f)*(4*f - 4*f + f) - 2*f**2 + 4*f**2 - f**2 + (-8*f - 34*f - 13*f)*(-2*f + 2*f - f) to the form s + q*f + k*f**2 and give k.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24176 - 23917. Solve 0 = 116*i + 27 - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -743*g**6\/6 + 560*g**3\/3 + 2132. Find the third derivative of m(a) wrt a.\nAnswer: -44580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 9809694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 29 = 4*o, -3*o - 12 = y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480939.\nAnswer: 3, 160313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/8 + 29*c**3\/6 + 303. Suppose z(a) = 0. What is a?\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 5*q**2 + 6*q - 1. Let w be s(-3). Is (4 + (-1 - 296))*w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*x**6 + 18*x**5 + 2*x**4 + 4*x**2 + 4*x - 141 wrt x.\nAnswer: 2520*x**3 + 1080*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 25*x - 75. Let g(n) = 3*n**2 + 4*n + 2*n**2 - 3 - 6*n**2. Let r be g(3). Solve r = -3*m + x - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2. Let h be z(-1). Suppose q = -2 + h. Is 14 + 2 + -1 + q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 2 - 14)*(-8*o - 9*o - 7*o) as p + c*o and give c.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 89*k + 17338. Let h be l(-194). Factor -135 - h*b - 48\/5*b**2.\nAnswer: -3*(4*b + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -111, -1, -2, 509, 4 in descending order.\nAnswer: 509, 4, -1, -2, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31883278 is divided by 330.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/9 (c) 0 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271121 less than 9271121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**3 + 5*o**2 - o + 1. Determine l(4).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -1063003?\nAnswer: -1062772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10 - -2330)*(-1)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-39)\/(-12) - 3) + (-26)\/8. Let f = 7 + -48\/7. What is the third biggest value in m, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - 3. Let u = 57 + y. What is the highest common factor of u and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000263678073 to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-4))\/(-8 - -9 - (1212\/576 + -1)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 284424672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 284487 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -289 and 7.8235.\nAnswer: -2260.9915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4354.2 rounded to the nearest 10?\nAnswer: -4350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + 6. Suppose y*m - 15*m = 44. Calculate the highest common factor of 44 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 18 + l - 2)*(-1 - l**2 + 1) as t*l + r + g*l**2 + h*l**3 and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h - 9*h + 7*h + (3 - 2 - 3)*(3*h - 3*h + h) - 3 + 3 + 3*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -8 (b) -3 (c) -35422\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 = 3*b - 11, -4*b + 3*v = -1. Suppose -b*d = 5*u + 7 - 33, -4*d = -u - 14. Is ((-1)\/(12\/524))\/(u\/(-66)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2363, -9375, -21055, -37403, -58419?\nAnswer: -84103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 2*v**3 + v + (2*v**2 + 0*v**2 + 0*v**2)*(-755*v + 460919 - 460919) - 2*v**3 + 6*v**3 - 2*v**3.\nAnswer: -1510*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m + 1. What is d(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -133*x + 271. Determine j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219267735?\nAnswer: 5, 7, 29, 71, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 6764*r**2 - 160608*r + 960192.\nAnswer: -4*(r - 1667)*(r - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9045600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -352 - -356. Suppose 4*h = -h. Solve m*l + g - 15 - 5 = h, 0 = -3*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 16.8?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 248 - 4?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75075 divided by -455.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/9 - 31*a\/9 - 10\/3 = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/8030 and 89\/8030.\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22342.17 and -4.1?\nAnswer: 22338.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of (11 - -311)*22\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249.2 - 249.4. Suppose -o - w + 12 = 0, -w + 72 = 4*o - 5*w. Suppose 0 = 2*f - 2*j - 2*j + 10, -5*j = -o. What is the smallest value in f, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -0.2. Let l be (-8)\/(-5 + 0 - -3). Suppose l*k - 5 = -2*w - 3, 0 = -5*k + 2*w - 11. Is k < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9493*k**3 + 5 - 9510*k**3 + 28516*k**3 - 9485*k**3 - 5.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/10 + 322199*c**2\/10 + 12976121692*c\/5 - 12976927202.\nAnswer: (c - 5)*(c + 161102)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 3*u - 4*b + 125, u - 2*b + 9 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(304) + sqrt(304) + -2 + sqrt(304) - sqrt(19))**2 - sqrt(228)\/(sqrt(24)\/sqrt(2))) + (-5*sqrt(684))**2*5.\nAnswer: -44*sqrt(19) + 87803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4670*y + 3551*y - 1190384 = -1867*y for y.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4398 = -4*k + 14834, -4*h = 5*k - 24039. List the prime factors of k.\nAnswer: 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8928866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/4 - 14*w**3 - 28443*w**2\/4 + 1203923*w\/2 + 2520658 = 0. Calculate w.\nAnswer: -178, -4, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 939122, 939006, 938890, 938774, 938658?\nAnswer: 938542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 0 - sqrt(1088)) + -3)**2 - (-2*sqrt(1088) + sqrt(1088))*-5.\nAnswer: -40*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**5\/15 + 11*f**3\/6 + 2*f**2. What is the first derivative of k(x) wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 8412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 3*a - 3, -a + 5*a = 5*c - 35. Suppose s - 545 = 4*b - 21, 0 = c*b - 6. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h**3 + 6*h**2 + 101*h + 9. Let r(g) = 26*g**3 + 11*g**2 + 187*g + 16. What is -11*d(l) + 6*r(l)?\nAnswer: 2*l**3 + 11*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + 40235152?\nAnswer: 40235131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -18. Let c(v) = v**2 - 6*v - 1. Let k be c(6). Let z = k + h. Let g(w) = 3*w + 1. Calculate g(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.15 + -0.15. Let x = -5 + l. Let m = 8 - 13. Sort x, m, -4.\nAnswer: m, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1650 + -1640. Solve 4*w + 4*i - c = -14, 4*w = i + 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*t - 205*t = 2112 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-12))\/((-1267)\/4344) - -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (14 - (8 + -1)) - -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 809.515 to the nearest ten.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11389.7617 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 1.02.\nAnswer: -2.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 8, -4, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*s - 13*s - 27748*s**4 + 1092*s + 59895*s**5 + 360*s**2 - 20680*s**3 - 12787*s**4 + 80 = 0.\nAnswer: -2\/11, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -14*q**3 + q**2 - 8*q - 7. Let n be a(-5). Let h = 1241 - n. Does 27 divide (2 - 4)*h\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 34. What is y(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37.479008 and 42.\nAnswer: 4.520992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 + 5221 = -5*b - 4*m, -m - 4725 = 4*b. Let l = -589 - b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1166 (base 11) to base 13\nAnswer: -903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 3\/(6\/(-4)). Let m(q) = 5*q**2 - 7*q + 3. Let x(t) = -2*t**2 + 3*t - 1. Let n(w) = f*m(w) + 7*x(w). Find the first derivative of n(i) wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -697 - -718. What is the smallest common multiple of l and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighty-seven fifths of a meter?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-18)\/(-4))*(-411)\/137\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6844050 by -402.\nAnswer: 17025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 15 = 4*b. Solve b = 5*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3 - 3946*l**2 + 2182240*l - 225142400 = 0.\nAnswer: 133, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7 = 13. Solve s = -0*s - m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 1, w: 1, t: 1, k: 1, f: 1}. Give prob of sequence wth.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + 188*j - 2717. Calculate h(40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/12 + -767*(-1)\/(-4). Let a = -313 - -181. Let j = a - i. What is the highest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.001200421 + -0.0012. Round q to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 7*h - 9. Let i be u(-6). Let n = 7 + i. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2856*w - 5*g + 2250 = -2821*w, 0 = 3*w + 5*g - g - 200 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/9*(3 + 0) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8557 divided by -120\nAnswer: 8557\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/12641, 0 in increasing order.\nAnswer: -4, -4\/12641, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1011*f**2 + 412*f**2 + 480*f**2 + 3*f to t + z*f + n*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 518*y**3 - 5*y + 5. Let c(g) = g - 1. What is 5*c(j) + l(j)?\nAnswer: 518*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 91*n**2 + 3*n + 4. Let j(u) = 88*u**2 + 3*u + 4. Let x(r) = -5*b(r) + 6*j(r). What is the units digit of x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -7)*4\/4. Suppose -t*q + q + 42 = 0. Let v = 15 - q. Which is smaller: v or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -u - 3*i, 3*u - 4*i + 70 = 4*u. Suppose 20 = g + 4*g. Suppose -u = -g*j + j. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13324*t + 13329*t + 5*l + 15 + 5, 4*t - 4*l - 6 = 4*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -25*q - 298. Let g be b(-12). Suppose -31 = -5*d + 3*h, -4*d = g*h + h - 41. What is the least common multiple of 36 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(17)))**2 + (sqrt(136)*3)\/sqrt(8).\nAnswer: -97*sqrt(17) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/18 and 4\/(-6)*(1911\/28)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 5*x + 4. Let u be d(-5). Suppose -u*z + 22 = -34. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 9*t**2 - 9*t + 10. Let r be o(8). Let j(l) = 4*l**2 - 10*l**2 + 4*l**r. Let g(k) = -4*k. Give g(j(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - (-8)\/(-2))\/(-3)*-1. Let b be -1 - -76*(-2)\/(-28) - 3. Is z <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 + 1.2. Let h = 0.82 + -0.02. Let l = h - u. Which is the third smallest value? (a) 0.4 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-25) - (-45)\/(-75)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 12*k - 11*k. Suppose -2*i + 367 = -v, v = k*i - 2*v - 552. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560868 divided by 308.\nAnswer: -1821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 8. Give v(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7724241.\nAnswer: 3, 7, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(208\/36)\/(-26)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*d, -5*o - 4*d = -5*d - 30. What is the fourth biggest value in 0.2, o, 3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3239 or -22665\/7?\nAnswer: -22665\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3030 + 0.2?\nAnswer: -3029.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 2*l**2 - 87*l**3 + 89 - 28*l**3 - 87 to the form q + j*l + f*l**3 + t*l**2 and give f.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 7*i**2 - 3*i**2 + 6*i**2. Let f(r) = 49*r. Let x(n) = -18*n. Let m(c) = 5*f(c) + 14*x(c). Give m(q(g)).\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40623006 (base 7) in base 3?\nAnswer: 20101210002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 3*l**4\/4 - 1062*l**3 + 563922*l**2 - 133085592*l + 1037. Factor o(b).\nAnswer: 3*(b - 354)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p + 1 = 0. Let u(h) = -3*h + 4 - 3 - p. Let x(t) = -575*t + 92. Let n(f) = 106*f - 17. Let a(v) = -92*n(v) - 17*x(v). Determine a(u(q)).\nAnswer: -69*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*v - 756*v + v**3 + 380*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141.06 + 0.56. Let a = x + 140. Let g = 15 + -10. Is a equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) 0.2 (c) -2 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-936)\/101556)\/(12\/14)?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7702649 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 102*b**2 - 3*b - 1. Determine y(102).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 311516 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/sqrt(8))\/sqrt(3) - (3*sqrt(152))\/sqrt(8).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.82, 1946 in increasing order.\nAnswer: -10, -0.82, 1946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + -1*sqrt(320) - (-5 + sqrt(320)*4))*-5 + 1)**2 + -2.\nAnswer: -15600*sqrt(5) + 201519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 12*f = 6. Let x be 30\/(-9)*24\/(-20). Let j be (22\/x)\/(f\/(-6)). What is the greatest common factor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 0. Suppose a = 4*o + 61, 3*a - n*o - 179 = -31. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -51. Suppose 3*c - 2*v - 350 = 0, -2*c + 5*v = -y*c + 459. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 = 2*g + 7, -5*g - 7 = -a. Suppose 0 = -x - 4*q + 40, -a*q - 275 = -5*x - 7*q. Suppose -w + x = 6. Is 54 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -215\/3. Let u be 1*(-2 + 23\/11). Let g = 0.92 + -0.82. Which is the closest to -0.1? (a) u (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smm when three letters picked without replacement from {a: 10, m: 4, s: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 20476 - 1816 = 0. Let c = 173774\/107 + -15097487\/1926. Let v = b - c. What is the common denominator of 43\/10 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 4 (b) 3 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:53 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1712 + -1010. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-3))\/(5\/(-15)). Solve -4*n + 5*u - 1 = 0, 0*n + 5*n + 2*u - j = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58*((-10)\/12)\/(265\/159)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(-2 + sqrt(98)) + -3)**2.\nAnswer: -1596*sqrt(2) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168 or -167?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2175458*h**6 + 316*h**2 - h + 12 wrt h?\nAnswer: 261054960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331 by 80014.\nAnswer: 331\/80014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -38. Let n = 113 + h. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**5 + g**4 - 1. Let b(v) = -7*v**5 + 14*v**4 - 14*v**2 - 14. Let i(z) = -b(z) + 14*w(z). What is the third derivative of i(n) wrt n?\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2799747794.\nAnswer: 2, 47, 491, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -312, -434, -158, 714, 2380, 5038, 8886?\n\"Answer: 33*i**3 + i**2 - 356*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -12, 11, 54, 123?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -11455?\nAnswer: 11451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -184276495, -184276493, -184276489, -184276483, -184276475?\n\"Answer: w**2 - w - 184276495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 191*l - 569. Give h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 3\/9*-6. Suppose 5*t - 20 = -0*t - 2*i, 0 = t - d*i + 13. Solve -4*s - 10 + t = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*b - 2*b - g, 3*g + 9 = -3*b. Let u(x) be the first derivative of -b*x + 1\/4*x**4 + 0*x**2 + 1 + 0*x**3. What is the derivative of u(v) wrt v?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 3092 + 3261 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (57 + (-33 - -27))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/321910 and 19\/25.\nAnswer: 1609550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 11:37 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 37*y**2 - 20*y - 36. Let w be c(-18). Solve 3*k + w*i = -5*i - 15, -4*i = -3*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*b**2 + 5*b + 2*b - 135*b**2)*(4*b + b - 3*b).\nAnswer: -4*b**3 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11898 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.31 (b) -1\/5 (c) 2 (d) -0.5 (e) -127.8 (f) -19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.072 and 0.34.\nAnswer: 0.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)\/w**(-2\/3))**(24\/13) assuming w is positive.\nAnswer: w**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48, 78, 76, 30, -72?\n\"Answer: -2*o**3 - 4*o**2 + 56*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - y**3 - y - 2*y**2 - 3*y.\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 3*n**2 + 10*n + 2. Let s(v) = v**3 - 3*v**2 - 9*v - 1. Let a(j) = -3*h(j) - 4*s(j). Determine a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2951.9 - -2952. What is the nearest to 4\/11 in -20, -4, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61)\/244)\/((-4)\/96).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/130*10*17. Solve -d = -10*f - 57 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1914609060?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lulu when four letters picked without replacement from {l: 9, u: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.4 and -0.0375?\nAnswer: 7.4375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 at least -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-two fifths of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 6*i + 38)*(-2 + 4 - 3) in the form o*i + p and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -321\/4 - -80. Let s = -1.34 + 0.34. Let t = s + 5. Which is the second smallest value? (a) t (b) j (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 1\/9 (c) -0.5 (d) -96\/13 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(11\/(110\/(-4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 561 + -6745\/12. Let a = h - -7\/4. What is the nearest to 0.1 in -2\/7, -3, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -50\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40032 + 1353*u - 1352*u - 15740.\nAnswer: u + 24292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*k = -13, 0 = -3*u + 7*u + k - 37. Let d = 12 + -17. Sort 0, u, 3, d in descending order.\nAnswer: u, 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-5 + 1*sqrt(252)*6*2)*-3)**2.\nAnswer: -6480*sqrt(7) + 326816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47628396 and 37044308?\nAnswer: 333398772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 652715 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -135\/2*n**2 + 58*n + 0*n**4 + 0 + 19\/4*n**5 + 0*n**3. Find the first derivative of q(r) wrt r.\nAnswer: 285*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/21086 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 1 + 1)*(3*x**2 - 2*x**2 + 4*x**2)*(-5*x - 5*x - x) to the form q + k*x**4 + o*x**2 + z*x**3 + m*x and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 q when three letters picked without replacement from eqqekqeeyqqg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2216, -4437, -6660, -8885, -11112?\nAnswer: -13341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*2\/4*0. Suppose -12 = 4*o - r*o. Let g be (-1 - 6\/o) + 1. Are g and 2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 10*d**2 - 1 - 4*d**2 to q*d + f*d**2 + v and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0177 times 2.456?\nAnswer: 0.0434712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 284416996 to the nearest 1000000.\nAnswer: 284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1\/487, 1\/4, -13, 0.1 in decreasing order.\nAnswer: 1\/4, 0.1, 1\/487, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 13*p - 18. Let r be x(15). Let b(f) = 222*f + 22. Let j be b(r). Suppose j = 3*i - 5849. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -6*f**2 + 0*f + 1\/30*f**5 - 5\/6*f**3 + 11\/24*f**4 + 0. Is d(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 124*k**2 + 54*k + 192. Determine c(-5).\nAnswer: 3022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-75)\/(-10))\/(15\/(-80)*-4). Suppose 3*u + i*u + 26 = 0. Which is smaller: u or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4885 (base 13) to base 8\nAnswer: 24011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*c + 4 = 0, 5*h - 12 + 20 = c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*c**3 + 2*c**2*v - 2*c - 77*v wrt c.\nAnswer: 198*c + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 9*w - 82. Let f be a(15). Suppose -c + f*q + 598 = 5*q, 2 = -q. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(500)*-2 - sqrt(500)) + (sqrt(500) - ((2*sqrt(500) + sqrt(500) + sqrt(500) - sqrt(500))*4 + sqrt(500))))\/((sqrt(144)*-2*-5 - sqrt(144))*-4).\nAnswer: 35*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 bigger than -890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = -1. Let y be (183\/(-6))\/(1\/(-2)). Let c = -52 + y. Sort -3, a, -2, c in increasing order.\nAnswer: -3, -2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 84. Let s be ((2\/2 - 11) + d)*1. Let z be (2\/s)\/(6 - (-272)\/(-40)). Which is the smallest value? (a) 0.3 (b) -0.9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 15, 3*u + 9150003 = -v - 0*v. Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3*m + 38870*h**3 + 5094*h*m - 14*h + m wrt m.\nAnswer: 2*h**3 + 5094*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -16458908 in decreasing order.\nAnswer: 5, 2, -16458908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6440)\/(-240))\/161*3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2 + 0*o + 1 - 2 - 6*o. Let m(a) = 18*a + 8. Calculate -3*m(i) - 8*v(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:37 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -915 + 915.906. Let o = 0.86 - 1.64. Let d = o + k. What is d rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023779.3 months in millennia?\nAnswer: 168.648275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -11*j**2 + 0*j + 3\/8*j**4 + 0 + 1\/50*j**5 + 7\/10*j**3. Factor o(s).\nAnswer: 3*(s + 7)*(2*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4519774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -30*g + 0*g**3 + 19*g**2 + 17*g**2 - 11*g**2 + 5*g**3 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 - 0.05. Let w = 0.46 - f. Which is the second biggest value? (a) 3 (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**(-1\/10))\/g)\/g**(4\/13))\/(((g**8*g)\/g)\/(g\/(g\/(((g*g*g*(g**12\/g)\/g)\/g*g)\/g*g)))) assuming g is positive.\nAnswer: g**(727\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Solve s + i*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 310000*r + 35959994. Calculate i(-116).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 3. Let h(k) = 3*k**2 + 2. Let c(n) = -3*h(n) + 2*i(n). Let a(w) be the third derivative of -11*w**5\/30 - 14*w**2. Determine c(a(d)).\nAnswer: -484*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4 + 456*v**3 - 9872*v**2 + 38904*v + 218196 = 0.\nAnswer: -3, 11, 19, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/5 = 19982\/535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + -1 + (-4 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*k + l, 205*k - l = 201*k + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**3 - 5*f**2 + 10. Let d(w) = -5*w**3 + 2*w**2 - 6. Calculate 6*b(k) + 10*d(k).\nAnswer: 4*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 10. Let s be r(0). Let o be 5\/s*(-1 - 3). Suppose -j + 7*a = 4*a - 5, o = 2*j + 2*a. Solve -2*v - v = -f - 11, 0 = j*f - 2*v + 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 273522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1 + (0 + 4 - 1)*(36 - 40 - 97))*(-4*a - 2*a + 2*a) as h*a + s and give h.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2778 - -0.1778. What is the nearest to c in 2.7, -6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*2\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18451, 12, 280 in decreasing order.\nAnswer: 280, 12, -18451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 653574 and 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -14 - 2 - (0 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13096802 and -382.018.\nAnswer: 13096419.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -13 (b) -0.1 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 25 = 0, -3*w + 30 = 2*u + 5*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2407003 (base 10) to base 9.\nAnswer: -4467707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21.61 (b) 4 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0 + 5 + 38*f**3 - f**2 - 37*f**3 + f. Let p be h(0). Suppose p*b - 3*b - 6 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 145, 314, 483?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 67. Suppose 6 = 2*m + 2*r - 8, m + y*r = -1. Suppose 0 = 3*o + t - 2*t + 51, 3*t - m = 0. Which is smaller: -31\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (11\/3)\/(89\/534) and 146?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11064, 22101, 33154, 44223, 55308?\n\"Answer: 8*f**2 + 11013*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 351*k**2 + 28*k + 4. Let n(i) = 2*i**2 + 10*i + 2. Calculate 3*n(s) - r(s).\nAnswer: -345*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -285485 (b) -3\/4 (c) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 5*f**2 + 6*f + 9. Give z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 30*q**3 - q**2 - 12*q + 17. Calculate the remainder when b(2) is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16819822 from 0.4.\nAnswer: -16819821.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 4*s**2 + 112*s + 33. What is the thousands digit of v(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + -2 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -21. Suppose 2*s - 5*s = 5*z - 15, t = 2*z - 3*s - 6. Is 16 a factor of -2*(-1)\/z + 880\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + 1*sqrt(275) + 4 + sqrt(275)*3))**2.\nAnswer: 640*sqrt(11) + 70416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/9 of a day?\nAnswer: 3040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2365622 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 3. Let j(n) = 2*n + 1. Let g(o) = -2*d(o) + 5*j(o). Let f be g(4). Calculate the highest common factor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 - 7*z + 8. Let k = 81 - 78. Let c(r) = 76*r**2 + 76*r - 88. Let l(o) = k*c(o) + 32*d(o). Let l(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 14)*(-94*c**2 + 50*c**2 + 21*c + 43*c**2).\nAnswer: -14*c**2 + 294*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/7 - 83186*i - 2329176\/7 = 0. Calculate i.\nAnswer: -291147, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzzaaozztzz. What is prob of sequence aat?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 46. Suppose 4*o - p = -0*o - r, -4*o = -3*r - 49. Suppose -o = -5*f, 2*g - 4*f = -3*f + 1896. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325) + -1)**2 + 5.\nAnswer: 30*sqrt(13) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:10 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 172.\nAnswer: 17\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*d**3 - d**2 + 386*d - 388*d + d**2 + 725 + 23*d**3 to the form n*d + x + u*d**2 + c*d**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4671 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 15*w**2 + 14*w + 4. Let z be b(-14). Suppose 2*i + z*y - 648 = 0, 0*y = -4*i + y + 1269. List the prime factors of i.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19251.04 kilometers?\nAnswer: 1925104000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174 + -162 + -2 + -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -501, -2\/7, 8, -0.5 in decreasing order.\nAnswer: 8, -2\/7, -0.5, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1887 and -50\/116331.\nAnswer: 4304247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 383 and 416 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18103 and 13588?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13514 + 4006 = 5*u - 5*y, -4*y = -u + 3501. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {w: 2, j: 2, o: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*a - 6, -5*a + 9 = -y + 4*y. Let u be (-2)\/(-6) - 7\/y. Is (u - -6) + -5 + 178 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18373, 1, 5, -343, -2\/21 in descending order.\nAnswer: 5, 1, -2\/21, -343, -18373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252 - -250. Which is the smallest value? (a) h (b) 0.1 (c) 1\/3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, 0.03, -17, -0.6 in descending order.\nAnswer: 4, 0.5, 0.03, -0.6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744244 is divided by 292?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -40 + 3 + 8 + 0 + 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:04 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 3*j + 0*j**2 + 1\/3*j**3 + 0 + 1\/10*j**5 - 1\/3*j**4. Find h such that p(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyr when three letters picked without replacement from yrrrryyyrryr.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(21\/(-6) - -2). Let k be (-1015)\/(-21) + 1\/y. Suppose -f - k = -5*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91\/24 - 85\/24. Which is the fourth smallest value? (a) r (b) -28 (c) 0.5 (d) -5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 1, r: 1, h: 1}. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 0, 5*q + 4*z - 7 = 3. Suppose -50 + 5 = -5*t. Solve -3*p - 3*s = t, -q*s = -0*s + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 7 = 5*p, c + p = -1328 + 1331 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319933 a multiple of 1743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-32))\/(4\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j - 9*g = -34*j + 39, -j - 28 = 5*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/619? (a) 0.714 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v + 13. Let n be t(7). Let z = -108 - n. Let l(h) = -h**3 - 2*h**2 + 2*h + 3. Calculate l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107815929?\nAnswer: 3, 13, 241, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/90 - j**4\/36 - 4*j**3\/3 - 77*j**2. Factor s(r).\nAnswer: 2*(r - 4)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 2*q + 1. Let l(k) be the first derivative of -k**3 + k**2\/2 - k + 4. Let w(z) = -3*l(z) - 2*n(z). Determine w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4408832950.\nAnswer: 2, 5, 61, 1445519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -24 - -15) + (-35 - (-7 - -17))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2308.95875 + -0.04125. Let i = 2308.999999053 + k. Round i to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 19*k**2 - 6*k - 25. Let d be 52\/(-13)*(-2)\/8 + 19. Let z be n(d). Let i = 599 - z. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {b: 4, f: 3, h: 1, a: 9, u: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 + 74568*p - 1042572492.\nAnswer: -4*(p - 27963)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 44*l**3 - 2*l**2 + l. List the prime factors of g(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - ((0 - -15) + 83 + -22 + -5).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2432015 from 789456.\nAnswer: 789456.2432015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/57101 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -45 + (-4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 26 = -5*d, -2*d + c + 14 = 3. Solve -f + d*f - 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 6*y**2 + 2*y + 5. Let b = -29 - -35. Let o be (-7)\/(42\/(-4))*b. Calculate d(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10210, -9701, -9232, -8803, -8414, -8065, -7756?\nAnswer: -7487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/6*21\/4. Let i = 73 - m. Suppose 0*d - 6 = i*d - 4*l, -2*d = 5*l - 19. Solve 0 = -d*u - 0*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/598554110 and 13\/76179614.\nAnswer: 4189878770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.26669 millilitres in litres?\nAnswer: 0.03926669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 37.15, -1.08.\nAnswer: -1.08, 0.1, 37.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217 - 118. Let z be (0\/(-1))\/(-2) + 4. Let h be 6*1*6\/z. What is the greatest common factor of y and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 2 - ((-98 - -49) + 29 + 17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16457, -16499, -16537, -16571, -16601?\n\"Answer: 2*z**2 - 48*z - 16411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144251 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/4)\/(-1 + 3). What are the prime factors of (2 - (f + -4))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 + 13*w**4 - 61*w**3 + 7*w**2 + 56*w - 20 = 0. What is w?\nAnswer: -5, -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 23 + 65)*(3*v**3 - 3*v**4 - 3*v**3).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 0.2, 3, -190\/9, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.5715 nanometers to centimeters.\nAnswer: 0.00007265715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2, 697 = -3*b + 4*v + 3902. Let a = 17095\/16 - b. Let i = -59\/16 + -439\/48. Calculate the common denominator of a and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626.3834 meters to centimeters.\nAnswer: 62638.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11463097, 22926195, 34389293?\n\"Answer: 11463098*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -332 and 0.05?\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 11*x**2 - 11*x + 5. Let n be s(7). Let i = n - 70. Let l = -32 + i. What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/36 and 156\/80*(-315)\/(-162)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 307*g - 1083. What is the least common multiple of i(4) and 15?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 505 + -632 - (36 + -190)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*h - 2130*h + 3420 = -620 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 8. Solve 3*i - u = 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -6651.\nAnswer: -13302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 + 2*k + 1319. Let i be m(0). Let f = 2518 - i. What are the prime factors of f?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*t + 3 = 4, -5*j + t = 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 take away -123?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q**3 + 3*q**2 + 3*q - 9. Let x be n(3). Calculate the highest common factor of 30 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 = -5*k. Suppose -5*p - 32 = -g, -p = p - k*g + 16. List the prime factors of -6*1*28\/p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*v**2 - 275*v**2 - 213*v**2.\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 8*k + 7. Calculate the remainder when b(-6) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 6*t**2 - 24*t - 47. Let d be y(-8). Calculate the greatest common factor of d and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15234601 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 33*y + 70 to the form a + d*y and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10085?\nAnswer: 5, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*c + 1919 = -238*c - 140*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*64\/288*7\/(56\/(-220)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*sqrt(637) + 4 + (sqrt(65)\/(sqrt(15)\/sqrt(3) - sqrt(5) - sqrt(5)) - (sqrt(130) + sqrt(130)*-1)\/sqrt(10)) + -1)**2.\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/660 and -15\/14644.\nAnswer: 2416260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*g - 18*g - 19*g + 25*g + 40*g + 19*g.\nAnswer: -80*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by ((-24)\/(-15))\/((-6)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17566476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 - 8?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 1468509.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -12\/11 and 11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 9 (b) 0.01 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = -m + 44, 4*m + d - 245 = 0. Let j = -58 + m. Solve -2*g + j*o - 5*o + 7 = 0, 5*g + o = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -t - 2*t. Let r be (-2)\/((-1 + 2)\/t). Find the third derivative of -w**3 + w**r + w**3 - 2*w**4 + w**2 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1.01. Let o = 5.01 + v. Let n be ((-4)\/(-3))\/((-4)\/(-6)). Which is the third smallest value? (a) n (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4092 and -2.8?\nAnswer: 11457.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 290257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/15088 and 157\/1200.\nAnswer: 1131600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*12\/(-63))\/(-2). Let v = 4.8 + -2.8. Let o = -7.8 - -7. Sort x, o, v in ascending order.\nAnswer: o, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1212, -2427, -3648, -4875, -6108, -7347, -8592?\n\"Answer: -3*b**2 - 1206*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88390*g - 92 = -88386*g, -12*d + 151 = -5*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023 (base 7) in base 6?\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -560421.\nAnswer: 8406315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30082445.9 - -19.8166.\nAnswer: -30082426.0834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*(-16)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-8) - -1)*-54. Solve -6*h = -c + 147 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228 - 212.3. Let y = -15 + f. Let o = y + -1. Which is the third biggest value? (a) -8 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7))**(-12))**(-34\/5) assuming h is positive.\nAnswer: h**(-2856\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 3*d**2 + d**2 + (2*d + 2*d - 3*d)*(0*d + 2*d + 2*d) - 2*d + d + 16*d**2 - d in the form m*d**2 + y + j*d and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10692, 42767, 96224, 171063, 267284, 384887?\nAnswer: 523872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14264.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -1.6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16769, -33104, -49417, -65696, -81929, -98104, -114209, -130232?\nAnswer: -146161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(30\/12)*2\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 7108*a - 5 - 11 - 1 - 946*a.\nAnswer: 6162*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*p + 1 - 1322*p + 2 + 614*p - 3.\nAnswer: -160*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210101011102 - -1000?\nAnswer: -210101010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(240)\/(sqrt(8) - (sqrt(64)\/sqrt(8) + sqrt(8))))\/sqrt(10)*1)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 88*w - 90*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -527, -519, -507, -491, -471, -447, -419?\n\"Answer: 2*r**2 + 2*r - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8029*n - 4126*n = -167829 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -12. Let d be ((-26)\/g)\/(-3 - -4). Calculate the remainder when (9\/(-3) + d)*2 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*t - 202*t = -1413. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -30 - (0 + -35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 - 262*q\/9 + 2420\/9.\nAnswer: 2*(q - 121)*(q - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 170, 249, 328, 407, 486?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - (-1 + -1 + (-5 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**5\/30 - 3*y**2\/2 + 1. Let v(a) be the second derivative of j(a). Let s(x) = -3*x + 5 - 5. Calculate s(v(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*g, -g + 3*v + 11 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -48. Let o = u - 23. Let c be -4*2\/3*o\/8. Solve -3*l = -2*l - c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171934 - 2*x**3 + 171934 - x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -193*g + 25*g - 0*g - 504 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 200*r**2. Let l(p) = 106*p**2. Give l(h(j)).\nAnswer: 4240000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4 - 1920*c**3 + 6*c**2 + 5764*c + 3840 = 0.\nAnswer: -960, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-2)\/sqrt(4))\/(sqrt(4)*-1*-2)*3.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 15. Let b(k) = 7. Let p(f) = -13*b(f) + 6*j(f). Let l = -21 + 25. Let w(t) = 2*t + 2. Let s(r) = l*p(r) + w(r). Determine s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 4*d**2 - 2*d - 8. Let l be w(5). Suppose 212 = 4*y + s, 3*y + l*s = 2*s + 159. What is the remainder when y is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -325 and -1131374887.\nAnswer: -1131375212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 434.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)*(-1 - (-4)\/6). Suppose -3*f + 9 = t, i = -2*i + 2*f. Suppose i*s = -3*s. Solve s*a - 3 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u = 23*u - 189 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 226047821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16*8\/416*13. Let t(x) = 71*x**2 - 2*x + 1. Let o be t(1). Suppose o - 394 = -y*b. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77882 + 77873.99925. Let w = -17 - -25. Let o = w + t. What is o rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 830\/7 + -119. Which is the closest to -2\/7? (a) n (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*j + 26, -3*g + 40 = 2*g - 4*j. Suppose -g*d = -7*d. What is the tens digit of d - 0 - (-48)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53499874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405810002 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: Divide -775 by -24.\nAnswer: 775\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 128*k + 8*k - 148*k + 10*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + h + 5. Let q be m(0). Let n be 1*-2 + q + -5 - 0. Let d(i) = -i**2 - 17*i + 14. Let p be d(-18). Put 5, n, p in descending order.\nAnswer: 5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-5)*1\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*(-3 + 3 - 3). Let y = 128 - 100. What is the remainder when w*(2 + (-1)\/2) is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 (base 13) to base 16\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -856 smaller than -250029\/292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 + 3*z - 9. Let u be y(5). Let c = -39 - u. Let o = c - 27. Solve p + g = -g + 2, p + o*g - 3 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60049 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8127979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/7)\/s*s**(2\/17)\/s)\/(s**(2\/3)*s)**(1\/28)*(s**5*s\/s**(-4)*s)\/(s*s\/(s\/((s\/s**(2\/3)*s)\/s)))**35 assuming s is positive.\nAnswer: s**(-51665\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (52\/(-221))\/2 + (-63)\/(-102). Solve -6*j - 18 - v*j**2 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + -0.12. Let m = t - 1.51. Round m to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 6322*p\/5 + 12684.\nAnswer: -2*(p - 3171)*(p + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -420 (base 8) to base 10\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 3. Let a be l(-4). Let y = -67 - -70. Calculate the greatest common factor of y and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1) + (-260)\/(-78).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 3*t - 103. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15203922.\nAnswer: 2, 3, 991, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4*(sqrt(216) + 4*sqrt(216)))\/((sqrt(8) + sqrt(32)\/sqrt(4) + sqrt(8))*4) + -3)**2.\nAnswer: 90*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 - 770 = -13*b. Is 6*(12\/b)\/((-2)\/(-18)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 47*i**2 - 70*i - 36. Let w(c) = 24*c**2 - 34*c - 18. Let s(m) = -3*d(m) + 7*w(m). What are the prime factors of s(9)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1316.3 to the nearest ten.\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c - 9*c - 13*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 207*s + 2. Let v be h(1). Suppose 189 = 5*u + 2*w - v, 3*w = 5*u - 403. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25385575\/194 + -130853. Find the common denominator of l and 47\/28.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7588\/84 + 8 - 6) + 4\/6 + -11.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 5. Let q(u) = -u**3 - 7*u**2 - u - 3. Let n be 416\/(-65) - 3\/5. Let h be q(n). What is k(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 95.365 (c) -1\/13 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*o = -57, q - 5*o + 27 = -2*o. Does 7 divide 49\/q*3 - -225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 8 + 4. Suppose -2*f + 0*f = -j. Calculate the remainder when 21 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.385 in -0.2, 5\/3, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 4*i + 5. Let c be j(4). Let m = c + -6. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44\/5 + -181\/20. Which is the nearest to 1? (a) -0.1 (b) -2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529008 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(-3 + 38 + 44)*(-2 + 643*t + 1 - 646*t)*(-1 + 3 - 1) as d*t + g and give g.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 22 = -6. Let y be -5*(-6)\/90*-18. Sort 2, l, y, -5.\nAnswer: y, -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12643958, -12643955, -12643952, -12643949, -12643946?\nAnswer: -12643943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(150) - (sqrt(234)*3 + sqrt(26)))\/(sqrt(14)\/(sqrt(63)\/(sqrt(9) - (sqrt(9) - sqrt(81))) + sqrt(7))*4))**2.\nAnswer: 31213\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 102212111120111 (base 3) to base 15\nAnswer: 84928a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzapppzpqapapg. Give prob of sequence ppg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 7*t**2 + 3. Let x be z(5). Let d be (-4)\/(-6) - x\/9. Let a be (1 - 0)\/(d\/(-80)). Calculate the highest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*r + 1363 = 1334, -2 = n + r for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*y = y - 6, 2*r = 5*y - 4. Let u = r - -37. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 51*u**3 + 21.\nAnswer: -51*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 111*n + 1046. What is u(8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*s + 3 = -6*s, -3*s = -a + 3. Suppose -b = -a*b + 16. Let i = 30 + b. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(544) - sqrt(34)))\/(sqrt(32)\/sqrt(4) - sqrt(2)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.587.\nAnswer: -3.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 6*g**2 + 5*g + 8. Suppose -7 = 2*b - i, -b - b = 3*i + 27. Calculate o(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 18 - 4. Let u(g) = -3*g**2 - 6*g - 1. Let x(l) = -10*l**2 - 18*l - 2. Let q(h) = i*u(h) - 2*x(h). Determine q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287928*x + 520 = -1287915*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-484)\/5929*14)\/(5\/(70\/(-12))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/16 and 3\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.97 - 1. Put v, 0, 0.2, 2 in descending order.\nAnswer: 2, 0.2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132)*2)\/sqrt(12) + (((-2*sqrt(88)*6 - sqrt(88) - sqrt(88)) + sqrt(88))\/sqrt(8))**2.\nAnswer: 6*sqrt(11) + 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -135, -480, -965, -1596, -2379, -3320, -4425?\n\"Answer: -a**3 - 64*a**2 - 146*a + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*j = 297*j - 420*j - 1456 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 730 - 728.325. What is j rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(5 + 0\/(-2)). Let f = 9 + h. Let k be (0 - (-7)\/11)*4\/f. Which is the closest to -3\/7? (a) k (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/(324\/(-72)). Let b(v) be the second derivative of -x*v**4 - 4*v + 0*v**3 + 0*v**2 - 7\/20*v**5 - 1\/6*v**6 + 0. Factor b(z).\nAnswer: -z**2*(z + 1)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2. Let t(q) = 3*q**3 + 1494*q**2 + 1. Give 2*b(c) - t(c).\nAnswer: -c**3 - 1496*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -23526, -6, -3 in descending order.\nAnswer: -3, -6, -23526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261*d**3*j**3 - 8664*d**3 - 93*j**4 - 3*j**2 wrt j?\nAnswer: -1566*d**3 - 2232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.2 - -10.078. Let c = 82.878 - s. Let v = -82.54 + c. What is v rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4, 2*h - c + 5*c = 14. Solve 6 = -p + h*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 6 - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 11611581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13 + -2 + 8\/2. Suppose -96 = -7*s + 8*s + 5*b, -s - 66 = -5*b. Let v be 6\/(-9)*s\/12*-2. Which is greater: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110004021 (base 5) to base 15.\nAnswer: 94091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 + 47 + 135)*(3*t**2 - 7*t**2 - 21*t**2)*(-5 + 3 + 0).\nAnswer: 16600*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -24. Let y be 1*((-6)\/(-8))\/3. Which is the nearest to y? (a) -0.4 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q**3 - 58*q**2 - 32*q. Let y be v(22). What is y rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 10. Is -5*(-2 - -16)\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p - p)*(-7*p - 5*p - 11 + 13*p) + 6*p**2 - 3*p**2 + p**2.\nAnswer: 2*p**2 + 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.8 - 5.2. Which is greater: a or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3299 divided by 1.\nAnswer: 3299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 567276 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 4*y**2 + y + 2. Let r be s(2). Let u be r\/6*12\/(-16). Sort -3, u, 5 in ascending order.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (129 + -9)*(-4)\/(-6). What is the remainder when ((-8)\/(-20))\/(4\/h) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7.4. Let k = n + -0.4. Which is the third biggest value? (a) 0.1 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49566 + 128153. Suppose 154625 + u = 28*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1744 + 7071\/4. What is the common denominator of 1\/544 and v?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g - 2*g + 16*g. Give z(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -16235 (b) 2 (c) 3\/4 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 3:49 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 1846*u + 33.\nAnswer: 1846*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 355, 532, 709?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52404.943 - 52431. Let m = -0.043 + p. Let j = m + 26.1000286. What is j rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*q**3 + 436*l*q**2 + 7*l + 2*q - 13 wrt q?\nAnswer: -12*l*q + 872*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n + 3. Let w(g) = g**2 + g + 4. Let h be w(-2). Let r(o) = -6*o + 2. Determine h*r(v) - 5*q(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3)*9\/(-3). Find x, given that -73 - 2*x**3 + 2*x**2 + i*x + 73 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 79?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 134*t + 136. Let v be w(1). Solve -44*u + 43*u = v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 768, 1316, 1884?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**3 + g**2 - 4*g - 2. Suppose 0 = 5*j - 20. Is m(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758979.1ml in litres?\nAnswer: 758.9791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*r + 1539 = 46*r - 351 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 542563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10976, 21981, 32986?\nAnswer: 43991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.5379474 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 209693, 1677200, 5660339, 13416926, 26204777?\n\"Answer: 209636*l**3 + 55*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*o**2 - 4470 + 4470 + 178*o**2.\nAnswer: 288*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**3 + 1. Let l(i) = -i**3 - 1. Let p(g) = d(g) + 5*l(g). Differentiate p(c) wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1797, 3274, 4751, 6228, 7705?\n\"Answer: 1477*n + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 44. Solve -3*v - z = v, -u*z - 21 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1525 + -1532. Which is greater: g or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 576\/58 + (2\/(-174))\/(5\/(-30))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.211 + -3.789. Let x = 191\/4 - 48. What is the smallest value in t, x, 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:31 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - k + 1. Let z(q) = q - 1. Suppose -1 + 5 = 4*r. Let j(h) = r*z(h) + f(h). Let v(u) = 4*u**2 - 2*u**2 - 4*u**2. Calculate j(v(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13000 and 289346200?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/8 - 23\/92?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w + 9 - 8 + 1 + (-1 - 1 + 3)*(w + 0*w - 2*w) + 2*w + 3*w - 3*w.\nAnswer: 11*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 651690 + -421450. Round l to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*n - 57*n - 16*n.\nAnswer: -125*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:17 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2082)\/(-8)*(2464\/6)\/22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2) - 4)*-8. Let v = -22 + x. Differentiate 6 - 5*r**4 + v - 8 with respect to r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2029 + 2029. Suppose 2*u + 0*u - 10 = 0. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/7*(-96)\/(-240))\/((-12)\/(-42))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 231, 346, 461, 576, 691?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197770341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7399777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -42753.\nAnswer: 384777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 7*l + 7*l)*(422*l - 23764 + 23764)*(0 + 0 + 2).\nAnswer: -2532*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 467 + -455. Solve -11*m = -23 + k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 99*a**5 - 2*a**5 + (3*a**3 + 3*a**3 - 5*a**3)*(6*a**2 - a**2 - 2*a**2).\nAnswer: 101*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 8*b**2 - 5*b - 6. Let m be y(-7). Let t be (6\/m)\/((-4)\/(-5)). Let c = -3 + 2. Is c equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/75 and 11\/1095.\nAnswer: 5475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100101010101111000 (base 2) to base 11.\nAnswer: 591856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:37 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 11 + -12 - ((3 - -5) + 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 241 and 0.064?\nAnswer: 15.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -166651 * 28.74.\nAnswer: -4789549.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + 24. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20901945, -20901921, -20901909, -20901915, -20901945, -20902005, -20902101?\n\"Answer: -g**3 + 31*g - 20901975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9458684\/61 or -155059?\nAnswer: -9458684\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(1\/15*3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -340*i**3\/7 + 449252*i**2\/7 - 596784*i\/7 + 190080\/7 = 0.\nAnswer: 9\/17, 4\/5, 1320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/2)*w))\/(w\/w**(-6\/7)))**4 assuming w is positive.\nAnswer: w**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -15 - (-22 + (-20)\/(-5)). Let z = -1 + 1. Solve z = -j + 2*y - 3 - b, -4*j = 4*y - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*z**2 + 10 - 2 - 8 in the form h*z**2 + a + q*z and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3704 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -2 + -2 + 18 + -37\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0 + 1\/8*w**4 + 0*w - 13\/6*w**3 + 11*w**2. Calculate the remainder when d(15) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9272 times -15\nAnswer: 139080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*-10*(-9)\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 630 + -313. Let o(d) = -d**2 + 59*d + 118. Let x be o(64). Let g = x + p. What are the prime factors of g?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4\/(-10) - 13546\/(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**3\/3 + q - 1161. Let w(j) = -2*j**2. What is z(w(o))?\nAnswer: -8*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 5, 1, -5 in increasing order.\nAnswer: -88, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - 73*s**2 + s - 24. Let x(b) = b**3 - 39*b**2 - 12. Let z be (-53)\/(-9) + (-105)\/(-945). Let u(a) = z*t(a) - 11*x(a). Determine u(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.192 - -3.24. Let t = z + -0.048. Which is the closest to t? (a) -1 (b) -4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 2, u: 4, h: 2, c: 4, r: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3, -2\/749, -1\/13, 1\/6, 2\/11?\nAnswer: -2\/749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626098.6um to meters.\nAnswer: 0.6260986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179746 != 1\/848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648404*x**2 + 648404*x**2 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 40. Find the first derivative of 24 + 1 - 29*g + p + 10 wrt g.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*k - 10 = 0, -2*z = -120*k + 117*k - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -12*z + 454. Let k(q) = 7*q - 236. Let m(c) = 9*k(c) + 4*v(c). Determine m(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2\/2 - 2*l - 3. Let z(n) = -3*n - 6. Let q = 1 - 5. Calculate q*z(x) + 11*m(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171030522 divided by 50993.\nAnswer: -3354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 2*z + 3\/2*z**2 + 0 + 5\/6*z**3. Let q be y(-2). Which is greater: -8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105146 is divided by 105091?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}